# Mathematical Sciences - Bachelor of Science

## Overview

Mathematics is the study of numbers, shapes, and relationships. Computer Science is the study of algorithms. Statistics is the science of collecting and analyzing data. Put them all together, and you get mathematical sciences.

To major in mathematical sciences means you choose two of the following disciplines: Computer Science, Mathematics, Statistics, and successfully complete the required number of courses. You may also choose to minor in any of the other disciplines offered in the Bachelor of Science program.

**Contact Information**

Department of Mathematics and Statistics

Room 5-107, City Centre Campus

10700 - 104 Avenue

Edmonton, AB T5J 4S2

T: 780-497-5786

Faculty of Arts and Science, Program Services (Advising)

Room 6-211, City Centre Campus

T: 780-497-4505

E: artsandscience@macewan.ca

## Bachelor of Science

*Faculty of Arts and Science*

MacEwan.ca/Science

The Bachelor of Science (BSc) is a foundational general degree that provides broad and widely applicable knowledge and abilities, rather than a niche specialization. This broad base equips graduates with generalist knowledge and skills that give the flexibility and agility so highly valued in a dynamic world economy. It also gives students a solid foundation from which to specialize in future employment or further schooling.

The degree provides breadth of study across a variety of Arts and Science disciplines, and sets the foundation for later years. The major and minor areas of study allow students to focus and gain in-depth expertise in complementary or entirely disparate disciplines; there is a wide array of possible combinations. Finally, options allow students to explore courses outside their disciplines, or even within their program, and so enhance their diversity of learning. The small classes, close interaction between instructors and students, opportunities for individual study, and faculty with a strong focus on teaching are signature strengths of this program.

### General Program Information

The BSc requires students to complete 120 credits of non-duplicative coursework. The BSc emphasizes both breadth and depth and has been designed for exceptional flexibility and customization. Students can complete a major and a minor, a double major, or a major and two minors.

### Science Disciplines

Discipline | Major | Minor | Honours |
---|---|---|---|

Applied Statistics | ⦿ | - | - |

Biological Sciences | ⦿ | ⦿ | ⦿ |

Chemistry | ⦿ | ⦿ | - |

Computer Science | ⦿ | ⦿ | - |

Earth and Planetary Sciences | - | ⦿ | - |

Mathematics | ⦿ | ⦿ | ⦿ |

Mathematical Sciences | ⦿ | - | - |

Planetary Physics | - | ⦿ | - |

Physical Sciences | ⦿ | - | - |

Physics | - | ⦿ | - |

Psychology | ⦿ | ⦿ | ⦿ |

Statistics | - | ⦿ | - |

### Arts Minors

Discipline | Minor |
---|---|

Anthropology | ⦿ |

Classics | ⦿ |

Creative Writing | ⦿ |

Economics | ⦿ |

English | ⦿ |

French | ⦿ |

Gender Studies | ⦿ |

History | ⦿ |

Philosophy | ⦿ |

Political Science | ⦿ |

Sociology | ⦿ |

Spanish | ⦿ |

### Out of Faculty Minors

Discipline | Minor |
---|---|

Accounting Minor for Arts and Science | ⦿ |

Arts and Cultural Management | ⦿ |

Business Law | ⦿ |

Business Studies | ⦿ |

Digital Experience Design | ⦿ |

Finance Minor for Arts and Science | ⦿ |

Human Resources Minor for Arts and Science | ⦿ |

Marketing Minor for Arts and Science | ⦿ |

**Preparing for Professional Studies**

Students intending to enter professional programs at other universities can take their pre-professional programs in the Faculty of Arts and Science at MacEwan University. The university offers the first and second year of a number of pre-professional programs, including chiropractic medicine, dental hygiene, dentistry, medical laboratory science, medicine, optometry, pharmacy and veterinary medicine. All courses taken in these pre-professional programs are credit courses and, as such, they may be applied to any of the degrees offered by MacEwan University.

Students are advised to consult the admissions requirements for the universities and programs of their choice, and to select their MacEwan University courses accordingly. Completion of pre-professional courses at MacEwan University does not guarantee admission to the subsequent professional program. Each professional program requires a separate application and entry is competitive, not automatic.

## Degree Requirements

### Breadth Requirements

All Bachelor of Science degrees require Breadth Requirements. Courses can satisfy both the breadth requirements and requirements for the major(s), minor(s), Honours, or options. BIOL, CHEM, EASC, or PHYS courses must include a laboratory component.

Breadth Element | Description | Credits |
---|---|---|

Biological or Earth and Planetary Sciences | BIOL or EASC (not including BIOL 101, BIOL 102, or BIOL 103) | 6 |

Chemistry or Physics | CHEM or PHYS | 6 |

English | ENGL 102 and 3 credits in university English (not including ENGL 111, ENGL 108, or ENGL 211) | 6 |

Humanities | CLAS, COMP, HIST, HUMN, PHIL or a language other than English | 6 |

Mathematical Sciences | One of MATH 114, MATH 120, or MATH 125, and 3 credits in MATH, STAT, or CMPT (not including MATH 160, MATH 170, or CMPT 104) | 6 |

Social Sciences | ANTH, ECON, LING, POLS, PSYC, or SOCI | 6 |

### Bachelor of Science Degree

Program Element | Description | Credits |
---|---|---|

Primary Major | The Science major will range from 42 to 60 credits with a minimum 36 credits taken at the senior-level.^{1} | 42-60 |

Secondary Major or Minor(s) | Students have the option of completing a second Science major, or one or two minors. Minor courses must be completed at the senior-level.^{1} | 18-60 |

Options | Students can complete up to 15 credits in out-of-faculty options, with no more than 3 credits in physical activity (PACT) courses | Up to 60 |

Total Degree Credits Including Breadth | 120 |

^{1} | Multi-disciplinary majors consist of 60-72 junior- and senior-level credits. Students majoring in mathematical or physical sciences may pursue a minor but are not required to do so. |

### Bachelor of Science Honours

Program Element | Description | Credits |
---|---|---|

Minimum Honours Requirements | Honours requirements are determined by each discipline. | 63 |

Option Courses, Non-Compulsory Honours Courses, and/or a Minor | Students have the option of completing a minor from outside of the Honours discipline. Some disciplines may require a minor. | 57 |

Total Degree Credits Including Breadth | 120 |

The minimum passing grade for a course at MacEwan University is a D unless otherwise noted next to the appropriate course in the program of study. In the Faculty of Arts and Science, students typically require a minimum grade of C- to use a course as a prerequisite. Please check course descriptions for more information.

## Mathematical Sciences Requirements

### Mathematical Sciences Major

The Bachelor of Science (BSc) in Mathematical Sciences program requires students to complete 120 credits of non-duplicative coursework. The major is comprised of three disciplines – computer science, mathematics, and statistics. Students select two of the three as primary disciplines. While students in this major are not required to complete a minor, if any of computer science, mathematics or statistics disciplines are chosen as a minor, all senior-level credits in that discipline will only count toward the minor.

Students are required to complete option courses as well as the Mathematical Sciences Major and the possible minor. All BSc degrees require Breadth Requirements. Courses can satisfy both the breadth requirements and requirements for the major(s), minor(s), or options.

The Mathematical Sciences Major is 60 to 72 credits with a minimum of 42 senior-level credits. Students must complete a minimum of three credits at the 300- or 400-level in each primary discipline and a minimum of 12 credits at the 300- or 400-level across all primary disciplines.

If mathematics is a primary discipline – STAT 265, STAT 266, STAT 312, and STAT 322 may be used to fulfill this requirement.

##### Bachelor of Science - Mathematical Sciences Major

Course ID | Course Name | Credits |
---|---|---|

Specific Major Requirements | ||

MATH 114 | Elementary Calculus I | 3 |

MATH 115 | Elementary Calculus II | 3 |

Choose 3 credits from the following: | 3 | |

Basic Linear Algebra I | ||

Linear Algebra I | ||

Choose 3 credits from the following: | 3 | |

Introduction to Computing I | ||

Introduction to Computing II | ||

General Major Requirements | ||

Primary Discipline I | ||

Choose 18 to 24 junior- and senior-level credits from the first primary discipline | 18-24 | |

Primary Discipline II | ||

Choose 18 to 24 junior- and senior-level credits from the second primary discipline | 18-24 | |

General Requirements | ||

Choose 6 to 12 credits of junior- and senior- level CMPT, MATH, and STAT | 6-12 | |

Minor | ||

Students have the option of completing a minor. Minor courses must be completed at the senior-level. | 0-18 | |

Options | ||

Students can complete up to 15 credits in out-of-faculty options, with no more than 3 credits in physical activity (PACT) courses. | 30-60 | |

Total Credits | 120 |

## Degree Regulations

Students are strongly encouraged to seek advice from the faculty advisors about program planning.

### Academic Residency - Credit Requirements

In addition to the academic residency requirements of the University, Bachelor of Science students must complete at MacEwan University:

- A minimum of 24 credits at the senior-level in the major discipline, with 12 of those senior credits completed at the 300- or 400-level. All 400-level requirements are to be completed at MacEwan University.
- If applicable, a minimum of nine credits in a minor at the senior-level, with at least three of those credits completed at the 300- or 400-level.

### Breadth Requirements

Courses taken to fulfil the major, minor, or option requirements can also be used to satisfy breadth requirements.

### Declaration of a Major and Minor

Students are advised to declare a primary major and minor, or primary major and a secondary major, or a major and two minors by the time they have completed 45 credits. Majors are selected from Science disciplines and consist of 42 to 60 junior- and senior-level credits. Multi-disciplinary majors consist of 60-72 junior- and senior-level credits. With the exception of those students in an Honours program, a maximum of 60 credits may be completed from any one discipline for credit towards the degree. A major and minor cannot be in the same discipline and students may not declare more than one out-of-faculty minor. Students can re-declare their major(s) and/or minor(s) if required.

For students completing multiple majors or minors, the Faculty cannot guarantee a schedule of classes that will permit students to complete their degree in eight consecutive fall and winter semesters. Furthermore, depending on the courses in which a student enrols, meeting the requirements of a double major may require the completion of more than 120 credits for graduation. Students are strongly encouraged to consult with a program advisor in the Program Services Office in the Faculty of Arts and Science and a discipline advisor in their major and minor prior to this declaration. Students majoring in mathematical or physical sciences may pursue a minor but are not required to do so.

### Graduation Grade Point Average

As part of the Graduation Grade Point Average regulation above, Bachelor of Science students must obtain an overall GGPA of 2.0 or higher, with a minimum GPA of 2.0 on all courses credited toward the major(s) and a minimum GPA of 2.0 on all courses credited toward the minor(s).

### Graduation Requirements

Graduation requirements are governed by the date on which a student declares their major(s) and minor(s). Students who declare their major(s) and minor(s) up to and including February 15 are bound by the requirements of the current academic year. Those students who declare after this date are bound by the programs of study and degree requirements of the upcoming academic year as published in the MacEwan Academic Calendar.

### Junior - and Senior-Level Courses

Courses numbered from 100 to 199 are considered junior-level and courses numbered from 200 to 499 are considered senior-level.

### Major or Minor 300- and 400- Level Requirements

The 300- and 400-level requirements in the major or minor cannot consist solely of project, field placement, and/or individual study courses.

### Maximum Independent Courses

The maximum number of credits for independent work (project, field placement, and/or individual study courses) excluding the Honours Thesis, is 15 credits. Specific disciplines may have further restrictions.

### Maximum Junior-Level Courses

A maximum of 48 credits at the 100-level are permitted in completion of the B.Sc. degree. Additional courses at the 100-level are extra to the 120 credits required to complete the B.Sc. degree and will not be counted toward fulfilment of graduation requirements.

### Minimum Science Courses

Students are required to complete successfully a minimum of 72 total credits from Science courses.

### Minimum Passing Grade

A minimum grade of D is required for all Science degree courses unless otherwise noted next to the appropriate course in the program of study.

### Minimum Transfer Grade for Credit

A minimum grade of D is required on any transfer credit granted for the program. Arts and Science courses require a minimum grade of C- when the course is used as a prerequisite. Transfer credit decisions made by the university are final and cannot be appealed.

### Out-of-Faculty Options Requirements

Degree options may include a maximum of 15 credits from courses offered by a Faculty or School other than Arts and Science except for those students completing an out-of-faculty minor or those who have met the minor requirements with a diploma. These students must complete their degree options from courses offered within the Faculty of Arts and Science.

### Progression of Studies

Students are responsible for ensuring they meet the prerequisite and/or co-requisite requirements as noted on all courses that may fulfill Bachelor of Science program requirements.

## Honours Regulations

### Overall Requirements

The Honours program of study consists of 63 to 84 credits as determined by the discipline. Students in the Honours program may choose to complete a minor outside of the Honours discipline. Some disciplines may require a minor.

### Course Load

Students accepted into an Honours program must complete 24-credits in each twelve consecutive months they are in the program. Exceptions to this rule may occur with the approval of the Honours discipline advisor.

### Grade Point Average

Students accepted and enrolled in the Science Honours program must maintain a minimum overall GPA of 3.0. As well, students must maintain a minimum GPA of 3.3 across a set of courses designated by each discipline for each twelve consecutive months following acceptance into the Honours program. Failure to do so will result in the student’s program status reverting to BSc with a major in the previous Honours discipline.

### Graduation Grade Point Average

In order to graduate, students must obtain an overall GGPA of 3.0 or higher, with a minimum GPA of 3.3 on all courses credited toward the Honours program of study.

## Additional Degree Regulations - Subsequent Baccalaureate

In addition to meeting the degree regulations listed above, students who already hold a baccalaureate degree must satisfy the provisions of policies pertaining to subsequent baccalaureate credentials.

## Mathematical Sciences Courses

### Computer Science Courses

**CMPT 101
Introduction to Computing I
3 Credits**

This course provides a breadth-first introductory treatment of concepts in computing science for students with little or no programming background. Topics include data representation and machine architecture; algorithms and their properties; the control constructs of sequence, selection, and repetition; functions; and the notions of data type and operations on data types in low-level and high-level programming languages. Students do introductory programming for a portion of the course. Note: Students with no previous computing experience should enrol in CMPT 101 instead of CMPT 103. Credit cannot be obtained for CMPT 101 if credit has already been granted for CMPT 103.

**CMPT 103
Introduction to Computing II
3 Credits**

This course continues the overview of computing science concepts that was started in CMPT 101. Topics include representation of compound data using abstraction, programming languages, and modularity; algorithms that use these data structures; and networks with the TCP/IP model and client/server architecture. Students continue with the syntax of a high-level programming language: functions, arrays, and user-defined data types.

*Prerequisites: Minimum grade of C- in CMPT 101 or three credits of intermediate CSE including CSE 2120.*

**CMPT 104
Fluency with Information Technology
3 Credits**

This course introduces fundamental computational concepts. While some specific productivity software is covered, this is not a computer literacy course. The emphasis is on the concepts that underlie today's information infrastructure. Topics include abstraction, data representation and analysis, algorithms and algorithmic thinking, the Internet, and security.

**CMPT 200
Data Structures and Algorithms
3 Credits**

This course continues the study of dynamic data structures (e.g., lists, stacks, queues, trees, and dictionaries) and associated algorithms (e.g., traversal, sorting, searching, element addition and removal). Recursion is covered, and some of the basic ideas of object-oriented programming, such as classes and objects, are introduced.

*Prerequisites: Minimum grade of C- in CMPT 103.*

**CMPT 201
Practical Programming Methodology
3 Credits**

This course provides an introduction to the principles, methods, tools, and practices of the professional programmer. The lectures focus on best practices in software development and the fundamental principles of software engineering. The laboratories offer an intensive apprenticeship to the aspiring software developer. Students use C and the software development tools of the UNIX environment.

*Prerequisites: Minimum grade of C- in CMPT 200.*

**CMPT 204
Algorithms I
3 Credits**

This is a first course on algorithm design and analysis with an emphasis on fundamentals of searching, sorting and graph algorithms. Examples of methodologies considered include divide and conquer, dynamic programming, and greedy methods, together with analysis techniques to estimate program efficiency.

*Prerequisites: Minimum grade of C- in CMPT 200 and CMPT 272 or MATH 200 and MATH 113 or MATH 114 (Note: CMPT 272 is preferred to MATH 200).*

**CMPT 220
Unix, Scripting, and Other Tools
3 Credits**

The student is introduced to a Unix-like operating system along with some of its important design features, such as processes, pipes, and the I/O model. Some of the basic tools and methodologies are discussed, including shell scripts, editors, and standard utilities. Various open source tools are surveyed.

*Prerequisites: Minimum grade of C- in CMPT 200.*

**CMPT 229
Computer Organization and Architecture
3 Credits**

This course provides a general introduction to number representation, the architecture and organization concepts of von Neumann machines, assembly level programming, exception handling, peripheral programming, floating point computations, and memory management.

*Prerequisites: Minimum grade of C- in CMPT 200.*

**CMPT 230
Introduction to Computer Games
3 Credits**

This course is an introduction to various aspects of computer game design and marketing. It focuses on the history of computer games, computer game markets, evaluation of computer games, creation and testing of interactive narratives, and game interface design. The course includes a final capstone design for an interactive (narrative) game. Note: This course has a significant writing component; students are advised to take ENGL 102 (or equivalent) prior to taking this course.

*Prerequisites: Minimum grade of C- in any CMPT or ENGL course or in either PSYC 104 or PSYC 105.*

**CMPT 250
Introduction to Human Computer Interaction
3 Credits**

This course introduces students to the basic components of the interaction design process. Effective user interaction design emphasizes the importance of good interfaces and the relationship of user interface design to human-computer interaction (HCI). The concept of interaction is introduced with a focus on the centrality of the user in HCI. Other topics include interface and interaction types, data gathering and analysis to understand and solve the design problem; design requirements, prototyping and usability testing. The lab allows the students to apply the concepts, tools and methods, discussed in lecture, towards the major course project. Note: In addition to the prerequisite, it is recommended that students taking this course have completed an additional computing science course or an introductory course in psychology, sociology, or anthropology. Note: Credit cannot be obtained for both CMPT 250 and DESN 240.

**CMPT 272
Formal Systems and Logic in Computing Science
3 Credits**

This course provides an introduction to the tools of set theory, logic, and induction, and their use in the practice of reasoning about algorithms and programs. Topics include basic set theory, the notion of a function, counting, propositional and predicate logic and their proof systems, and inductive definitions and proofs by induction.

*Prerequisites: A minimum grade of C- in CMPT 101 or CMPT 103 or CMPT 200 and a minimum grade of C- in MATH 114 and C- in MATH 120 or MATH 125.*

**CMPT 280
Introduction to Computer Security
3 Credits**

Students are introduced to computer and network security and the underlying concepts of confidentiality, integrity, and availability. Topics include common cyberattacks, identifying vulnerabilities and defending against attacks, and approaches to creating secure systems. Students also work with some of the tools available to security administrators.

*Prerequisites: Minimum grade of C- in CMPT 200.*

**CMPT 291
Introduction to File and Database Management
3 Credits**

The course covers basic concepts in computer data organization and information processing, the entity-relationship model, the relational model, SQL, and other relational query languages. Other topics include storage architecture, physical organization of data, and access methods for relational data.

*Prerequisites: A minimum grade of C- in CMPT 200.*

**CMPT 305
Introduction to Object-Oriented Programming
3 Credits**

In this course, students study the object-oriented programming (OOP) paradigm. The components of object-oriented programming are encapsulation, inheritance, and polymorphism. Students use some of the well established design patterns that recur in many non-trivial software systems. The last component of this course is event-driven programming. Note: Credit in CMPT 250 is recommended but not required.

*Prerequisites: Minimum grade of C- in CMPT 200.*

**CMPT 306
Non-Procedural Programming Languages
3 Credits**

This course examines various programming languages other than the standard third generation languages such as C++ and Java. This course considers a functional language (Lisp) and a logic language (Prolog). The underlying theories of lambda calculus (Lisp) and predicate logic (Prolog) are also studied. A limited number of applications to Artificial Intelligence are considered for both languages. This course also may examine additional interpreted languages.

*Prerequisites: Minimum grade of C- in CMPT 200 and CMPT 272.*

**CMPT 310
Computers and Society
3 Credits**

This hybrid course explores the social, legal and ethical issues arising in the wake of computer technology, especially those concerning self, community, environment, education, work and democracy. Topics include cyberethics; freedom and information; privacy and security; intellectual property; information technology and the future; social responsibility. Note: This is a third year course. It is recommended that students taking this course have at least 48 earned credits in their program of study.

*Prerequisites: Minimum grade of C- in any 200-level course.*

**CMPT 311
Phenomenon of Technology
3 Credits**

This hybrid course explores the role and significance of technology in our daily lives through a variety of theoretical and research frameworks and methods, including media ecology, phenomenology, STS (science, technology and society) studies, and human-computer interaction research.

*Prerequisites: Minimum grade of C- in any 200-level course (Note: this is a third year course, It is recommended that students taking this course have at least 48 credits in their program of study).*

**CMPT 315
Web Application Development
3 Credits**

This course introduces various technologies in web programming. It requires students to work both individually and collaboratively to design and develop interactive web-based applications. Students learn both client- and server-side programming, database programming, and basic security concepts and testing.

*Prerequisites: Minimum grade of C- in CMPT 291 and CMPT 305.*

**CMPT 330
Introduction to Real Time Gaming
3 Credits**

This course introduces the basic concepts of 2D and 3D game writing. Students learn to handle sprite animation, collision detection, and simple game artificial intelligence, and gain an understanding of the basics of 2D and 3D display at the level of the game engine. During this course, students design and implement an effective user interface for a game using a game engine as well as create several very small games. The course culminates with a team-based major game project.

*Prerequisites: Minimum grade of C- in CMPT 230 and CMPT 305.*

**CMPT 340
Introduction to Numerical Methods
3 Credits**

This course provides an overview of computational methods for solving problems in linear algebra, non-linear equations, interpolation and approximation, and integration. Computer arithmetic and errors are discussed. The aim is to teach students the proper use of mathematical subroutine packages currently available in computer libraries.

*Prerequisites: Minimum grade of C- in CMPT 200, MATH 120 and MATH 214.*

**CMPT 351
Introduction to Data Visualization
3 Credits**

This course introduces techniques and tools for creating effective visualizations based on principles from visual design, perceptual psychology, and cognitive science. The goal of this course is to expose students to visual representation methods and techniques that increase the understandability of complex and varied data.

*Prerequisites: Minimum grades of C- in CMPT 250 and STAT 151.*

**CMPT 355
Introduction to Artificial Intelligence
3 Credits**

This course provides an introduction to Artificial Intelligence (AI). AI is the study of how human intelligence can be imitated by computer programs. The course presents a survey of the concepts and applications of AI - such as: intelligent agents, knowledge representation, state-space search, expert systems and shells, natural language processing, propositional logic, learning and cognitive models. Some of the AI techniques will be implemented using both procedural and non-procedural languages (Prolog and LISP). Note: Students should be able to program in a high level programming language that allows explicit access to the underlying memory model. C and C++ are acceptable languages.

*Prerequisites: Minimum grade of C- in CMPT 201 and CMPT 272.*

**CMPT 360
Introduction to Operating Systems
3 Credits**

This course introduces the fundamentals of operating systems. Topics include scheduling, memory management, concurrency, security and protection, device management, and file systems. The laboratory component involves both the investigation of these concepts in current operating systems as well as their design and implementation.

*Prerequisites: Minimum grade of C- in CMPT 201.*

**CMPT 361
Introduction to Networks
3 Credits**

This course introduces the basics of networking with a focus on computer networks. Topics include network architectures, protocols, client-server programming, security, and network management. A selection of material from data compression and decompression and multimedia data technologies are also discussed.

*Prerequisites: Minimum grade of C- in CMPT 201.*

**CMPT 370
Introduction to Computer Graphics
3 Credits**

This course introduces students to the foundations of computer graphics. Topics covered include 2D and 3D transformations, interactive 3D graphics programming, shading and lighting models, geometric modelling, computer graphics rendering including ray tracing and texture mapping. There will be an emphasis on both the mathematical and geometric aspects of graphics, as well as the ability to write complete 3D graphics programs.

*Prerequisites: Minimum grades of C- in CMPT 201, MATH 114, and in either MATH 120 or 125.*

**CMPT 380
Computer Systems Security
3 Credits**

Students are introduced to the principles and practice of computer systems security and get hands on experience with relevant tools used by security professionals. Students also write programs to illustrate vulnerabilities and attacks such as: buffer overflow, SQL injection, cross site scripting and cross site request forgery. Topics include: host and application threats and hardening, storage security, virtualization, secure software development and web and mobile security.

*Prerequisites: A minimum grade of C- in CMPT 280 and CMPT 360.*

**CMPT 391
Database Management Systems
3 Credits**

This is the second course in database management systems. Topics include database design, normalization theory, transaction management, query processing, and query optimization, building and supporting secure applications. Database support for special data types such as XML documents is considered. Support for complex applications, data analysis and information retrieval is also covered.

*Prerequisites: A minimum grade of C- in CMPT 291.*

**CMPT 395
Introduction to Software Engineering
3 Credits**

This course is an introduction to the fundamental concepts of software engineering. Topics include software design and analysis, software process, requirements, design patterns and testing. Team management is considered in both the lecture and in the laboratory through the use of team projects.

*Prerequisites: Minimum grade of C- in CMPT 201.*

**CMPT 398
Independent Study
3 Credits**

This course permits an intermediate-level student to work with an instructor to explore a specific topic in depth through research or directed reading in primary and secondary sources. The student plans, executes and reports the results of their independent research or study project under the direction of a faculty supervisor. To be granted enrolment in the course, the student must have made prior arrangements with a faculty member willing to supervise the student’s project.

**CMPT 399
Topics in Computer Science
3 Credits**

In this course, students examine one or two topics in computer science. Topics will vary from year to year, but will typically build upon material students will have seen in the second year of their studies. Consultation with the department is required prior to registration. Note: This course may be taken multiple times for credit.

*Prerequisite: Consent of the department.*

**CMPT 430
3D Game Development and Artificial Intelligence
3 Credits**

Modern game engines provide basic components such as animation and physics but to create a good game, the developer needs to provide functionality beyond the basics. This course will focus non-basic features such as camera control and game search/tracking heuristics. For the major project students will develop a portion of a game level using an existing commercial game engine. Note: CMPT 370 is recommended.

*Prerequisites: Minimum grade of C- in both CMPT 330 and CMPT 395.*

**CMPT 450
Information Visualization
3 Credits**

This course continues the examination of human-computer interaction (HCI) that was begun in CMPT 250, but with the emphasis moving to the design and implementation of interactive visualization systems. Topics include design principles in information visualization, abstraction of data and user tasks, visual encoding, interaction techniques, and visualization toolkits.

*Prerequisites: Minimum grade of C- in CMPT 250 and CMPT 305.*

**CMPT 464
Wireless Networks and Embedded Systems
3 Credits**

This course introduces selected topics in embedded systems and wireless networks. Topics include an introduction to embedded systems with an emphasis on microcontrollers, techniques for programming embedded systems, design for low-power applications, the basics of radio communication, and protocols for both medium access control and routing within static and mobile environments. The laboratory is oriented toward the design and implementation of lecture topics using wireless sensor network hardware.

*Prerequisites: Minimum grade of C- in CMPT 395 and C in CMPT 201.*

**CMPT 480
Computer Network Security
3 Credits**

Students are introduced to the principles and practice of computer networks security and get hand on experience with relevant tools used by security professionals. Students also write programs to illustrate vulnerabilities and attacks such as: packet spoofing, ARP poisoning and DNS cache poisoning. Topics include network threats, hardening and monitoring, internet service hardening and intrusion prevention and detection.

*Prerequisites: A minimum grade of C- in CMPT 280 and CMPT 361.*

**CMPT 491
Datamining and Advanced Database Topics
3 Credits**

This course on data mining introduces the concepts, algorithms, techniques, and systems of data warehousing. Topics include what data mining is, data preprocessing, integration, and transformation. The design and implementation of data warehouse and OLAP systems, mining frequent patterns and association (basic concepts and advanced methods), and classification, clustering and outlier analysis are covered.

*Prerequisites: Minimum grades of C- in STAT 151, CMPT 291, and in a 300-level CMPT course.*

**CMPT 496
Final Project
3 Credits**

In this course, students plan, conduct, and communicate the results of an independent project in Computer Science under the direction of a faculty supervisor. The project can be undertaken by an individual student or, if the scope warrants, by a team of students. Registration is contingent on the student(s) having made prior arrangements with a faculty member willing to supervise the project. Note: This course is intended for students in the final year of their degree. This course may be taken twice for credit.

*Prerequisites: Minimum grade of C- in CMPT 395 and consent of the department.*

**CMPT 498
Advanced Independent Study
3 Credits**

This course permits a senior-level student to work with an instructor to explore a specific topic in depth through research or directed reading in primary and secondary sources. The student plans, executes and reports the results of their independent research or study project under the direction of a faculty supervisor. To be granted enrolment in the course, the student must have made prior arrangements with a faculty member willing to supervise the student’s project.

**CMPT 499
Topics in Computer Science
3 Credits**

In this course, students examine a topic of specialization in computer science. Topics will vary from year to year. Consultation with the department is required prior to registration. Note: This course may be taken multiple times for credit.

*Prerequisites: Consent of the department.*

### Mathematics Courses

**MATH 099
Precalculus Mathematics
3 Credits**

This course reviews and extends the mathematical concepts needed to be successful in university level calculus. Topics include graphing, equations of lines, inequalities, review of elementary algebra, functions, and trigonometry. MATH 099 cannot be used to fulfill the requirements of the Bachelor of Arts, the Bachelor of Commerce, or the Bachelor of Science programs.

*Prerequisites: Mathematics 30-1 or Mathematics 30-2.*

**MATH 100
Calculus I
3.5 Credits**

This course provides an introduction to the fundamentals of calculus. The students learn about rectangular coordinates, analytic geometry, transcendental functions, inverse functions, limits, continuity, derivatives and applications, Taylor polynomials, integration and applications. Note: This course is restricted to Engineering students. Credit can only be obtained in one of MATH 100 or MATH 113 or MATH 114.

*Prerequisites: Mathematics 30-1 and Mathematics 31.*

**MATH 101
Calculus II
3.5 Credits**

This course provides a continuation of the study of Calculus. Students learn about techniques of integration, arc length, area of a surface of revolution, applications to physics and engineering, first order ordinary differential equations (separable and linear), infinite series, power series, Taylor expansions, polar coordinates, rectangular coordinates in R3, parametric curves in the plane and space (graphing, arc length, curvature), normal, binormal, tangent in R3. Note: This course is restricted to Engineering Program students. Credit can only be obtained in one of MATH 101 or MATH 115.

*Prerequisites: Minimum grade of C- in MATH 100.*

**MATH 102
Applied Linear Algebra
3.5 Credits**

This course provides an introduction to the fundamentals of linear algebra and some of their applications. The course content includes vectors and matrices; solutions of linear equations; equations of lines and planes; determinants; matrix algebra, linear transformations and their matrices; general vector spaces and inner product spaces; orthogonality and Gram-Schmidt process; eigenvalues and eigenvectors; and complex numbers. Note: This course is restricted to Engineering students. MATH 100 may be taken as a co-requisite with consent of the department. The course may not be taken for credit if credit has already been obtained in MATH 120 or MATH 125.

*Prerequisites: A minimum grade of C- in MATH 100.*

**MATH 114
Elementary Calculus I
3 Credits**

This course examines the fundamental concept of limits, differentiation and integration. Limits and differentiation of algebraic and trigonometric functions are studied along with applications including related rates, optimizing and curve sketching. This course concludes with a study of Riemann sums, the Fundamental Theorem of Calculus and substitution. Note: Students who have received credit in MATH 113 or MATH 100 may not take MATH 114 for credit.

*Prerequisites: A minimum grade of 80% in Mathematics 30-1, or successful completion (50% or better) of Mathematics 31, or Minimum grade of C- in MATH 099, or successful completion of the MATH 114 gateway exam.*

**MATH 115
Elementary Calculus II
3 Credits**

This course investigates the differentiation and integration of trigonometric, exponential and logarithmic functions. Indeterminate forms and improper integrals are studied, as well as the techniques and applications of integration. Note: Credit can only be obtained in one of MATH 115 or MATH 101.

*Prerequisites: Minimum grade of C- in MATH 114.*

**MATH 120
Basic Linear Algebra I
3 Credits**

This is an introduction to the basic notions and methods of linear algebra. Topics covered are: systems of linear equations, vectors in n-space, vector equations of lines and planes, dot product, cross product, and orthogonality, matrix algebra, invertibility of matrices, determinants, general vector spaces, basis and dimension, subspaces of n-space, rank, introduction to linear transformations, introduction to eigenvalues and eigenvectors, and applications. NOTE: This course cannot be taken for credit if credit has already been obtained in either of MATH 102 or MATH 125.

*Prerequisites: Mathematics 30-1 or a minimum grade of 80% in Mathematics 30-2.*

**MATH 125
Linear Algebra I
3 Credits**

This is an enriched introduction to the basic notions and methods of linear algebra. Topics covered are: systems of linear equations, vectors in n-space, vector equations of lines and planes, dot product, cross product, orthogonality, matrix algebra, invertibility of matrices, determinants, general vector spaces, basis and dimension, subspaces of n-space, rank, introduction to linear transformations, introduction to eigenvalues and eigenvectors, and applications. NOTE: The course covers the same basic topics as MATH 120, however it is a more rigorous course, and selected topics and applications are covered in more depth.

*Prerequisites: Mathematics 30-1.*

**MATH 160
Higher Arithmetic
3 Credits**

This course emphasizes the development of clarity in the understanding of mathematical ideas and processes, communication of these ideas to others, and application of these ideas to problem solving. Both inductive and deductive methods are explored in the study of elementary number theory, numeration systems, operations on integers and rational numbers, and elementary probability theory. Note: This course is restricted to Elementary Education students.

*Prerequisites: Mathematics 30-1 or Mathematics 30-2 or successful completion of the gateway exam.*

**MATH 200
Fundamental Concepts of Math
3 Credits**

This course provides an introduction to axiomatic systems and mathematical proof. These ideas are developed using examples taken primarily from set theory and number theory.

**MATH 214
Intermediate Calculus I
3 Credits**

This course completes the study of single-variable calculus and introduces students to the basic concepts of multi-variable calculus. Topics in single-variable calculus include area and arc length of plane curves defined by parametric or polar equations, infinite series, and power series. Topics in multi-variable calculus include: vector functions and space curves, functions of several variables, and partial derivatives with applications.

*Prerequisites: Minimum grade of C- in MATH 115, and in either MATH 120 or MATH 125.*

**MATH 215
Intermediate Calculus II
3 Credits**

This course continues the study of multivariable calculus. Topics include: curves, tangent vectors, arc length; integration in two and three dimensions; polar, cylindrical and spherical coordinates; line and surface integrals, Green’s, divergence and Stokes’ theorems; first and second order linear differential equations.

*Prerequisites: Minimum grade of C- in MATH 214.*

**MATH 222
Discrete Mathematics
3 Credits**

This course is an introduction to discrete mathematics, covering coding, cryptography, induction and recursion, and graph theory. Secret codes, error-detecting and error-correcting codes are introduced. Induction and recursive definitions are described. The Eulerian tour is used to illustrate graph definitions and properties.

*Prerequisites: Minimum grade of C- in any 100-level MATH course.*

**MATH 223
Introduction to Combinatorics
3 Credits**

This course is an introduction to Combinatorics covering permutations, combinations, binomial coefficients, the binomial theorem, the pigeonhole principle, inclusion-exclusion principle, generating functions, recurrences and applications to graph theory.

*Prerequisites: A minimum grade of C- in any 100-level Mathematics course, not including MATH 160 or MATH 170.*

**MATH 225
Linear Algebra II
3 Credits**

This course introduces the theory of vector spaces, inner product spaces, linear transformations and diagonalization. Specific topics of study include Euclidean n-space, spaces of continuous functions, matrix spaces, Gram-Schmidt process, QR-factorization, least squares method, change of basis, eigenspaces, orthogonal diagonalization, quadratic forms, matrices of transformations and similarity. Various applications are presented.

**MATH 228
Algebra: Introduction to Ring Theory
3 Credits**

This course is an introduction to the theory of rings including integral domains, division rings, ring homomorphisms, ideals, quotient rings, fields of quotients, rings of polynomials, irreducible polynomials, Euclidean domains and fields. Specific topics include the well-ordering axiom, the Binomial Theorem, the Euclidean algorithm, the Fundamental Theorem of Arithmetic, and the Chinese Remainder Theorem.

*Prerequisites: A minimum grade of C- in either MATH 200 or MATH 241 and in either MATH 120 or MATH 125.*

**MATH 241
Geometry
3 Credits**

The course explores Euclidean Geometry as an axiomatic system, based on invariance under the group of isometries (rigid motions). The material includes congruence, parallelism, similarity, and the theory of measurements based on continuity axioms. The notion of circumference is introduced and treated rigorously. Problem solving is an important component of the course. The problems include proofs, finding loci, and constructions. Transformations in the Euclidean plane are used as a problem-solving tool.

*Prerequisites: A minimum grade of C- in any 100-level MATH course, not including MATH 160 or MATH 170.*

**MATH 310
Real Analysis
3 Credits**

This course presents a rigorous treatment of limit processes in one variable. Topics include real numbers, sequences, limits, continuous functions, differentiation, the Riemann integral, and the topology of the real number system.

*Prerequisites: Minimum grade of C- in MATH 214 and in MATH 200.*

**MATH 311
Theory of Functions of a Complex Variable
3 Credits**

This course provides an introduction to the fundamental concepts of single variable complex analysis. The main topics include analytic functions, complex power series, Cauchy’s Integral Theorem, Cauchy’s Integral Formula, the residue theorem and applications to improper real integrals and Fourier transforms.

*Prerequisites: Minimum grade of C- in MATH 215.*

**MATH 320
Elementary Number Theory
3 Credits**

Elementary methods in number theory are presented. The following topics are included: divisibility, linear Diophantine equations, prime numbers, the fundamental theorem of arithmetic, congruences, the Chinese remainder theorem, Fermat's little theorem, arithmetic functions, Euler's theorem, primitive roots, and quadratic residues.

*Prerequisites: Minimum grade of C- in MATH 200; A minimum grade of C- in MATH 228 is recommended.*

**MATH 321
Fields and Modules
3 Credits**

This course builds on the knowledge of rings and fields obtained in MATH 228, and introduces the student to basic module theory. Topics studied include finite fields, quadratic number fields and algebraic field extensions, the Fundamental Theorem of Algebra, modules, and Noetherian rings.

*Prerequisites: Minimum grade of C- in MATH 225 and MATH 228.*

**MATH 330
Ordinary Differential Equations
3 Credits**

This course provides techniques for solving ordinary differential equations and systems of first order equations and investigates the qualitative nature of solutions of dynamical systems. Topics covered include first order equations, linear equations of higher order and linear dynamical systems with constant coefficients.

*Prerequisites: Minimum grade of C- in MATH 120 or MATH 125 and in MATH 214.*

**MATH 335
Numerical Methods
3 Credits**

This course presents numerical methods for solving problems in linear algebra, non-linear equations, interpolations, approximation of functions, differentiation and integration. The numerical algorithms are illustrated using an appropriate computer programming language and specific libraries.

*Prerequisites: Minimum grade of C- in MATH 214 and in one of MATH 120 or MATH 125 or CMPT 101.*

**MATH 341
Modern Geometries
3 Credits**

This course explores Euclidean and Non-Euclidean plane geometries from the viewpoint of Klein’s Erlangen program, based on invariance under groups of transformations in the extended complex plane. Mobius geometry is introduced, and Euclidean, hyperbolic, and elliptic geometries are studied as its subgeometries. The differences in axiomatics and results of the Euclidean and Lobachevsky – Bolyai geometries are discussed based on the disc model of hyperbolic geometry. Elliptic geometry is considered as another Mobius subgeometry.

*Prerequisites: Minimum grades of C- in MATH 241, and in either MATH 120 or MATH 125.*

**MATH 350
Introduction to Graph Theory
3 Credits**

This course discusses graphs and digraphs, paths and cycles, trees, planarity, colouring problems and matching problems. In addition, graph algorithms and some applications to other disciplines are studied.

*Prerequisites: Minimum grade of C- in either MATH 120 or MATH 125, and a minimum grade of C- in either MATH 200 or MATH 222.*

**MATH 361
History of Mathematics
3 Credits**

The course is a survey of the history of mathematics from ancient times through the development of calculus and the origins of modern algebra in the nineteenth century. It emphasizes the events that led to the development of modern and classic mathematics from a problem solving perspective. Biographies of famous mathematicians complement the abstract concepts of mathematics.

*Prerequisites: Minimum grade of C- in any two 200-level MATH courses.*

**MATH 398
Independent Study
3 Credits**

This course permits an intermediate-level student to work with an instructor to explore a specific topic from mathematics in depth through research or directed reading in primary and secondary sources. The student plans, executes and reports the results of their independent research or study project under the direction of a faculty supervisor. To be granted enrollment in the course, the student must have made prior arrangements with a faculty member willing to supervise his or her project. This course can be taken twice for credit.

**MATH 410
Analysis and Topology
3 Credits**

This course continues the study of Analysis begun in MATH 310 and examines differentiation and integration in Rn. Specific topics covered will include: implicit and inverse functions theorems, Fubini’s theorem, differential forms, and the generalized Stokes’ theorem.

*Prerequisites: Minimum grade of C- in MATH 225 and MATH 310.*

**MATH 420
Groups and Galois Theory
3 Credits**

This course is a treatment of symmetry, beginning with groups, then developing the ideas of Galois theory, and finishing with the quintic equation. Topics include groups, normal subgroups, quotient groups, Cayley's Theorem, the Class equation, permutations, group actions, the Sylow theorems, splitting fields, Galois extensions, the Main Theorem of Galois theory, Kummer extensions, cubic, quartic and quintic equations.

*Prerequisites: Minimum grade of C- in MATH 321.*

**MATH 430
Applied Dynamical Systems
3 Credits**

This course presents an introduction to dynamical systems related to ordinary differential equations in the continuous case, or to difference equations in the discrete case. Elementary existence and uniqueness theorems and stability are considered for linear and non-linear systems of ordinary differential equations. Periodic solutions, chaotic attractors, an introduction to bifurcation theory, basic notions of discrete dynamical systems, and deterministic chaos are discussed. Applications are chosen from biology, physics and other areas.

*Prerequisites: Minimum grade of C- in MATH 310 and MATH 330.*

**MATH 436
Introduction to Partial Differential Equations
3 Credits**

The goal of this course is to introduce the student to the mathematical modeling of classical physical systems such as vibrating systems, diffusive processes and steady state phenomena. The course starts with a rigorous introduction of the first-order and linear second-order partial differential equations (PDEs) followed by elements of Fourier analysis. The method of characteristics is used to find and interpret classes of solutions for the above models. The lab component will familiarize the student with formal and numerical manipulations of PDE’s. The main scope of the lab is to enable the student to visualize and discuss solutions for classical models for PDE’s.

*Prerequisites: Minimum grade of C- in MATH 310 and MATH 330.*

**MATH 495
Special Topics in Mathematics
3 Credits**

In this course students examine an advanced topic of specialization in mathematics. Topics covered vary from year to year. Consult with faculty members in Mathematics for details regarding current offerings. Note: This course may be taken multiple times for credit.

*Prerequisites: Minimum grade of B- in a 300-level Math course and permission of the department.*

**MATH 498
Advanced Independent Study in Mathematics
3 Credits**

This course permits a senior-level student to work with an instructor to explore a specific topic from mathematics in depth through research or directed reading in primary and secondary sources. The student plans, executes and reports the results of their independent research or study project under the direction of a faculty supervisor. To be granted enrollment in the course, the student must have made prior arrangements with a faculty member willing to supervise his or her project. This course can be taken twice for credit.

**MATH 499
Honours Thesis
3 Credits**

Under the direction of a faculty supervisor, registered students explore a specific topic in depth through research or directed reading. The student plans, executes, and reports the results of their independent research or study project under the direction of a faculty supervisor in a written Honours Thesis with oral defense. Note: This course is intended for students in the final year of their degree and is open only to students in the Mathematics Honours program.

*Prerequisites: Consent of the Department.*

### Statistics Courses

**STAT 151
Introduction to Applied Statistics
3 Credits**

In this course the following topics are covered: data collection and presentation; descriptive statistics; probability distributions, sampling distributions and the central limit theorem; point estimation, confidence intervals, and hypothesis testing; one-way ANOVA; Chi-square tests; and correlation and regression analysis. Applications are taken from a broad variety of fields such as biological and medical sciences, engineering, social sciences and economics. Note: This course may not be taken for credit if credit has been obtained in Stat 161.

*Prerequisites: Mathematics 30-1 or Mathematics 30-2 or successful completion of the statistics gateway exam.*

**STAT 161
Applied Statistics for the Social Sciences
3 Credits**

This course provides an introduction to descriptive and inferential statistics with a focus on data analytic tools particularly relevant in the social sciences. Topics covered in this course include descriptive statistics, basic probability theory and the central limit theorem; estimation and hypothesis testing; t-tests, analysis of contingency tables, one way ANOVA, and multiple linear regression analysis. Applications are taken from the social sciences and many other fields such as biological and medical sciences, engineering, and economics. Note: Credit cannot be obtained in both STAT 151 and 161.

*Prerequisites: Mathematics 30-1 or Mathematics 30-2 or successful completion of the statistics gateway exam.*

**STAT 252
Applied Statistics II
3 Credits**

Fundamental methods in applied statistics are presented in this course including the following topics: factorial ANOVA and Linear Regression models and their analysis as well as non-parametric statistical tools for the comparison of the centre of distributions. Applications are taken from a broad variety of areas such as biological, social and computer sciences, engineering, and economics.

*Prerequisites: Minimum grade of C- in one of STAT 141, STAT 151, STAT 152 or STAT 161.*

**STAT 265
Probability Theory I
3 Credits**

This course offers a calculus-based introduction to probability theory. Topics covered include sample space, events, combinatorial probability, conditional probability, independent events, Bayes' theorem, discrete and continuous random variables, univariate and multivariate probability distributions, expectation, conditional expectation, joint probability distributions, independence, moment generating functions. Note: STAT 151 is recommended and MATH 214 is a recommended corequisite.

*Prerequisites: A minimum grade of C- in MATH 115.*

**STAT 266
Mathematical Statistics
3 Credits**

The emphasis of this course is to present the fundamental statistical concepts in estimation and hypothesis testing from a classical perspective using the tools of probability theory. Topics covered include: limit theorems, sampling distributions, methods of point estimation and properties of point estimators, interval estimation, testing hypotheses. Statistical software is used to simulate distributions and probabilistic processes that lead to statistical applications.

*Prerequisites: Minimum grades of C- in STAT 265 and in either CMPT 101 or CMPT 103; STAT 151 is recommended.*

**STAT 312
Probability Theory II
3 Credits**

This course offers a rigorous approach to probability theory. Topics covered include probability spaces, multivariate normal distributions, discrete and continuous random variables, expectation and conditional expectation, probability and moment generating functions, different types of convergence and relationships between them, and limit theorems.

*Prerequisites: Minimum grades of C- in MATH 215, STAT 265, and in one of MATH 120 or MATH 125.*

**STAT 322
Finite Markov Chains and Applications
3 Credits**

This course presents fundamental results regarding finite Markov chains. Topics covered include connection with matrix theory, classification of states, main properties of absorbing, regular and ergodic finite Markov chains. Applications to genetics, psychology, computing science and engineering are also included.

*Prerequisites: A minimum grade of C- in MATH 120 and in STAT 265; A minimum grade of C- in Math 214 is recommended.*

**STAT 324
Computational Statistics with R
3 Credits**

This course explores the usage of computer programming and algorithms in the field of statistics. The focus of the course will be computationally intensive statistical methods, such as Monte Carlo simulations, the expectation-maximization algorithm, and bootstrapping. The material will be illustrated and the students’ work will be carried out using R (a free, open source, multi-platform programming language).

*Prerequisites: Minimum grade of C- in STAT 266, and in either CMPT 101 or CMPT 103.*

**STAT 350
Sampling Theory and Applications
3 Credits**

This course concentrates on the design and analysis techniques for sample surveys. Topics include simple random sampling, stratified sampling, ratio, regression and difference estimation, single-stage cluster sampling, systematic sampling, two-stage cluster sampling.

*Prerequisites: Minimum grade of C- in STAT 265.*

**STAT 353
Design and Analysis of Experiments
3 Credits**

This course deals with design, conduct and analysis of experimental studies. Topics include: principles of design, completely randomized design with one factor, randomized complete block designs, Latin square design, Graeco-Latin square design, balanced incomplete block design, factorial design, two-level factorial design, two-level factorial design in incomplete blocks, two-level fractional factorial design, experiments with random factors, and nested and split-plot designs.

*Prerequisites: Minimum grade of C- in STAT 266.*

**STAT 370
Applied Time Series Analysis
3 Credits**

This is an introductory course in applied time series analysis. Topics include computational techniques in time domain for simple time series models. Model selection, estimation, and forecasting are illustrated for the autoregressive, moving average, ARMA, ARIMA and SARIMA models. Applications are taken from medical and social sciences, biology, engineering and business.

*Prerequisites: Minimum grades of C- in STAT 266, MATH 214, and MATH 225.*

**STAT 371
Applied Categorical Data Analysis
3 Credits**

This course presents fundamental methods in categorical data analysis emphasizing applications. Topics include: analysis of two-way tables, models for binary response variables, loglinear models, and models for ordinal data and multinomial response data.

*Prerequisites: Minimum grade of C- in either STAT 252 or STAT 266.*

**STAT 372
Applied Multivariate Analysis
3 Credits**

This course focuses on essential multivariate statistical methods. Topics include matrix algebra, tests of significance, principal components analysis, factor analysis, discriminant analysis, cluster analysis and canonical correlation analysis. This course is relevant to working professionals in health, social biological and behavioral sciences who engage in applied research in their field.

*Prerequisites: A minimum grade of C- in STAT 265 and in either MATH 120 or MATH 125, and in either STAT 151 or STAT 161.*

**STAT 378
Applied Regression Analysis
3 Credits**

The course introduces methods in regression analysis. Topics include: multiple linear regression with particular focus on diagnostics, non-linear regression, and generalized linear models, such as Poisson regression and logistic regression. Emphasis will be placed on the practical application of the statistical methods.

*Prerequisites: Minimum grade of C- in either STAT 266 or in all of STAT 252, MATH 114 and in MATH 120 or MATH 125.*

**STAT 398
Independent Study
3 Credits**

This course permits an intermediate-level student to work with an instructor to explore a specific topic in depth through research or directed reading in primary and secondary sources. The student plans, executes and reports the results of their independent research or study project under the direction of a faculty supervisor. To be granted enrollment in the course, the student must have made prior arrangements with a faculty member willing to supervise his or her project. This course can be taken twice for credit.

*Prerequisites: Consent of the Department.*

**STAT 412
Stochastic Processes
3 Credits**

This course presents fundamental results regarding Poisson processes, discrete and continuous time Markov processes, and random walks. A practical but rigorous approach to stochastic processes will be utilized, with a focus on building models and understanding them mathematically.

*Prerequisites: Minimum grades of C- in MATH 214, MATH 225, STAT 266, and an additional three credits in any 300-level STAT course.*

**STAT 465
Probability Theory and Mathematical Statistics II
3 Credits**

This course offers a rigorous approach to probability theory and mathematical statistics. Topics include conditional expectation and variance, multivariate normal distribution, convergence, laws of large numbers, central limit theorem, maximum likelihood estimator and its properties, Delta method, likelihood ratio tests, Taylor and Edgeworth expansions.

*Prerequisites: A minimum grade of C- in Math 225, STAT 266 and any 300-level statistics course.*

**STAT 478
Applied Generalized Linear Models
3 Credits**

The course introduces the theory of generalized linear models and their applications. Topics include exponential family of distributions, modeling binomial and count data, linear mixed models, gamma and inverse-Gaussian generalized linear models, and introduction to survival analysis. Emphasis will be placed on the practical application of the statistical methods.

*Prerequisites: A minimum grade of C- in both STAT 266 and STAT 378.*

**STAT 495
Special Topics in Statistics
3 Credits**

In this course students examine an advanced topic in Statistics. Topics vary and are announced prior to registration. Consult with faculty members in Statistics for details regarding current offerings. Note: This course may be taken multiple times for credit.

*Prerequisites: Minimum grade of B- in a 300-level STAT course and consent of the department.*

**STAT 496
Statistical Consulting Project
3 Credits**

The aim of the course is to provide students with experience in statistical consultation. Students are assigned to research projects as consultants, which requires them to consider ethical statistical practice, choose the appropriate statistical technique, and communicate the results to a non-mathematical audience.

*Prerequisites: A minimum grade of C- in two 300-level STAT courses and consent of the department.*

**STAT 498
Advanced Independent Study
3 Credits**

This course permits senior-level students to work with an instructor to explore a specific topic in depth through research or directed reading in primary and secondary sources. The student plans, executes and reports the results of their independent research or study project under the direction of a faculty supervisor. To be granted enrollment in the course, the student must have made prior arrangements with a faculty member willing to supervise his or her project. This course can be taken twice for credit.