Mathematics  Bachelor of Science
Overview
Mathematics is the study of numbers, shapes and relationships through the use of deductive reasoning, and includes both the elegance of pure theory and the application of this theory to all human endeavours. As a mathematics student, you will study topics from the fields of algebra, analysis, geometry and applied mathematics. You'll be rewarded for you hard work with sophisticated analytical tools, a highly developed ability in precise critical thinking, and a general knowledge of the main streams of mathematical thought and their applications to various disciplines.
Contact Information
Department of Mathematics and Statistics
Room 5107, City Centre Campus
10700  104 Avenue
Edmonton, AB T5J 4S2
T: 7804975786
Arts and Science Academic Advising
Room 6211, City Centre Campus
T: 7804974505
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 offers students a solid foundation to specialize in future employment or further schooling.
The degree provides a breadth of study across various Arts and Science disciplines and sets the foundation for later years. The major and minor areas of study allow students to focus and gain indepth expertise in complementary or entirely disparate disciplines; there is a wide array of possible combinations. Finally, options enable students to explore courses outside their disciplines or even within their program, enhancing 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 nonduplicative coursework. The BSc emphasizes 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. Students can choose a secondary major in an Arts or Science discipline, but the primary major must be in a Science discipline.
All newly admitted students enter the BSc program as “Undeclared.” Undeclared means a student has not yet chosen their major(s) and minor(s). Students may declare any time after being accepted to the BSc, and typically, they declare after completing a minimum of 45 credits. The declaration period for noncompetitive majors and minors is between September 1 and February 15 and between September 1 and January 15 for competitive majors and minors. The Arts and Science Academic Advising Office will send information about majors and minors via email and newsletters; please contact the Advising Office if you require further assistance with this decision.
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 Disciplines
Discipline  Major  Minor 

Anthropology  ⦿  ⦿ 
Classics  ⦿  
Creative Writing  ⦿  
Economics  ⦿  ⦿ 
English  ⦿  ⦿ 
Film Minor for Arts and Science  ⦿  
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  ⦿ 
PreQualifying Minor Requirements for MacEwan Diploma Graduates Entering the Bachelor of Science
Students who graduated with a MacEwan University diploma can enter the Bachelor of Science, assess their course work based on the CrossFaculty Course Recognition List (refer to the Bachelor of Science Requirement tab), and use their diploma in place of a minor requirement. This process reduces the number of credits required for the degree from 120 to 102, depending on the courses completed. If accepted, these students will be required to complete only a major as the minor will be waived. To qualify for this process, students must have started their diploma no earlier than Fall 2007 and meet the high school science requirements for previous postsecondary applicants. At this time, the Travel and Office Administration diplomas are excluded from this offer. If you have questions or concerns about courses on the CrossFaculty Course Recognition List, please contact artsandscience@macewan.ca.
Preparing for Professional Studies
Students intending to enter professional programs at other universities can take their preprofessional programs in the Faculty of Arts and Science at MacEwan University. The university offers the first and second years of several preprofessional programs, including chiropractic medicine, dental hygiene, dentistry, medical laboratory science, medicine, optometry, pharmacy, and veterinary medicine. All courses in these preprofessional programs are credit courses, and, as such, they may apply to 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. Completing preprofessional 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, GEND, 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 seniorlevel.^{1}  4260 
Secondary Major or Minor(s)  Students have the option of completing a second Science or Arts major, or one or two minors. Minor courses must be completed at the seniorlevel.^{1}  1860 
Options  Students can complete up to 18 credits in outoffaculty options, with no more than 3 credits in physical activity (PACT) courses  Up to 60 
Total Degree Credits Including Breadth  120 
 ^{ 1 }
Multidisciplinary majors consist of 6072 junior and seniorlevel 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, NonCompulsory 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.
CrossFaculty Course Recognitions
CrossFaculty course recognition represents an agreement between programs within MacEwan University and consists of a number of approved courses that have the potential to be recognized within another degree. These courses are not considered transfers or equivalents as the original course will show within a student's transcript and their Academic Planning and Progress Report (APPR). How the courses listed below might be used within a student’s degree are determined by the student’s program of study. They are dependent on a number of factors including year of declaration, year of completion, and individual program requirements.
OutofFaculty Course  Course Recognition  Course Used For 

ACUP 117  ARTOP 1XX  Options; fulfills Humanities Breadth 
ACUP 209  SCIOP 2XX  Options 
ACUP 220, ACUP 303, and ACUP 304 (must complete all three courses)  COSL 200 (6 credits)  Options 
ACUP 320  SCIOP 3XX  Options 
AGAD 300  COSL 300  Options 
AGAD 435  WINL 300  Options 
ARTE 104  ARTOP 1XX  Options; fulfills Humanities Breadth 
ARTE 214  ARTOP 2XX  Options; fulfills Humanities Breadth 
ARTE 224  ARTOP 2XX  Options; fulfills Humanities Breadth 
ARTE 234  ARTOP 2XX  Options; fulfills Humanities Breadth 
ARTE 304  ARTOP 3XX  Options; fulfills Humanities Breadth 
ARTE 314  ARTOP 3XX  Options; fulfills Humanities Breadth 
ARTE 324  ARTOP 3XX  Options; fulfills Humanities Breadth 
CORR 102  SOCI 1XX  Options or Sociology program requirements; fulfills Social Science Breadth 
CORR 104  SOCI 1XX  Options or Sociology program requirements; fulfills Social Science Breadth 
CORR 110  SOCI 225  Options or Sociology program requirements; fulfills Social Science Breadth 
CORR 120  SOCI 2XX  Options or Sociology program requirements; fulfills Social Science Breadth 
CORR 202  ARTOP 2XX  Options 
CORR 208  ARTOP 2XX  Options 
CORR 214  COSL 200  Options 
CORR 218  SOCI 321  Options or Sociology program requirements; fulfills Social Science Breadth 
CORR 224  COSL 200  Options 
CYCW 100  PSYC 2XX  Options or Psychology program requirements; fulfills Social Science Breadth 
CYCW 108 and CYCW 112  SOCI 1XX  Options or Sociology program requirements; fulfills Social Science Breadth 
CYCW 114  ARTOP 1XX  Options 
CYCW 201  PSYC 2XX  Options or Psychology program requirements; fulfills Social Science Breadth 
CYCW 204  COSL 200  Options 
CYCW 205  SOCI 2XX  Options or Sociology program requirements; fulfills Social Science Breadth 
CYCW 208  SOCI 2XX  Options or Sociology program requirements; fulfills Social Science Breadth 
CYCW 211  SOCI 2XX  Options or Sociology program requirements; fulfills Social Science Breadth 
CYCW 302  ARTOP 3XX  Options; fulfills Social Science Breadth 
CYCW 303  ARTOP 3XX  Options; fulfills Social Science Breadth 
CYCW 339  ARTOP 3XX  Options; fulfills Social Science Breadth 
CYCW 340  SOCI 2XX  Options or Sociology program requirements; fulfills Social Science Breadth 
CYCW 350  SOCI 2XX  Options or Sociology program requirements; fulfills Social Science Breadth 
CYCW 360  SOCI 3XX  Options or Sociology program requirements; fulfills Social Science Breadth 
CYCW 361  SOCI 2XX  Options or Sociology program requirements; fulfills Social Science Breadth 
DESN 270  ARTOP 2XX  Options; fulfills Humanities Breadth 
DESN 271  ARTOP 2XX  Options; fulfills Humanities Breadth 
ECCS 110  PSYC 1XX  Options or Psychology program requirements; fulfills Social Science Breadth 
ECCS 115  ARTOP 1XX  Options 
ECCS 160  PSYC 2XX  Options or Psychology program requirements; fulfills Social Science Breadth 
ECCS 180  SOCI 2XX  Options or Sociology program requirements; fulfills Social Science breadth 
ECCS 220  COSL 200  Options 
ECCS 255  ARTOP 2XX  Options 
ECCS 260  SOCI 2XX  Options or Psychology program requirements; fulfills Social Science Breadth 
ECCS 270  COSL 200  Options 
ECDV 160  ARTOP 1XX  Options 
ECDV 220  COSL 200  Options 
ECDV 255  ARTOP 2XX  Options 
ECDV 260  SOCI 2XX  Options or Sociology program requirements; fulfills Social Science Breadth 
ECDV 270  COSL 270  Options 
ECDV 280  PSYC 2XX  Options or Psychology program requirements; fulfills Social Science Breadth 
FNCE 301  ECON 3XX  Options or Economics program requirements; fulfills Social Science Breath 
HAPR 101  SCIOP 1XX  Options 
HAPR 104  ARTOP 1XX  Options 
HAPR 114  WINL 200  Options 
HAPR 201  ARTOP 2XX  Options 
HAPR 212  WINL 200  Options 
HEED 110  ARTOP 1XX  Options 
HEED 120  SCIOP 1XX  Options 
HLSC 104  SCIOP 1XX  Options 
HLSC 105  SCIOP 1XX  Options 
HLSC 120  BIOL 1XX  Options or Biological Sciences program requirements 
HLSC 124  BIOL 1XX  Options or Biological Sciences program requirements 
HLSC 126  BIOL 1XX  Options or Biological Sciences program requirements 
HLSC 128  BIOL 2XX  Options or Biological Sciences program requirements 
HLST 150  SCIOP 1XX  Options 
HLST 210  ARTOP 2XX  Options 
HLST 290  SCIOP 1XX  Options 
INFM 101  ARTOP 1XX  Options 
INFM 202  ARTOP 2XX  Options 
INFM 208  ARTOP 2XX  Options 
INFM 209  ARTOP 2XX  Options 
INFM 210  ARTOP 2XX  Options 
INFM 260  COSL 200  Options 
INTA 210  ARTOP 2XX  Options; fulfills Humanities Breadth 
INTA 362  ARTOP 3XX  Options 
MTST 120  BIOL 1XX  Options or Biological Sciences program requirements 
MTST 122  BIOL 1XX  Options or Biological Sciences program requirements 
MTST 125  BIOL 1XX  Options or Biological Sciences program requirements 
MTST 126  BIOL 1XX  Options or Biological Sciences program requirements 
MTST 161, MTST 162, MTST 260, MTST 261, MTST 262  COSL 200  Options 
MUSC 104  ARTOP 1XX  Options 
MUSC 123  ARTOP 1XX  Options; fulfills Social Science Breadth 
MUSC 124  ARTOP 1XX  Options; fulfills Social Science Breadth 
PEDS 100  BIOL 1XX  Options or Biological Sciences program requirements 
PEDS 101  BIOL 1XX  Options or Biological Sciences program requirements 
PEDS 103  BIOL 2XX  Options or Biological Sciences program requirements 
PEDS 109  SCIOP 1XX  Options 
PEDS 200  BIOL 2XX  Options or Biological Sciences program requirements 
PEDS 203  SCIOP 2XX  Options 
PEDS 206  BIOL 2XX  Options or Biological Sciences program requirements 
PEDS 207  BIOL 2XX  Options or Biological Sciences program requirements 
PEDS 209  ARTOP 2XX  Options 
PEDS 240  SCIOP 1XX  Options 
PERL 104  ARTOP 1XX  Options 
PERL 204  ARTOP 2XX  Options 
PERL 207  ARTOP 2XX  Options 
PSSC 102  ARTOP 1XX  Options 
PSSC 112  ARTOP 1XX  Options 
PSSC 121  SOCI 1XX  Options or Sociology program requirements; fulfills Social Science Breadth 
PSSC 203  ARTOP 2XX  Options 
PSSC 204  ARTOP 2XX  Options 
PSSC 212  ARTOP 2XX  Options 
PSSC 252  ARTOP 2XX  Options 
PSSC 253  ARTOP 2XX  Options 
PSSC 272  COSL 200  Options 
PSSC 273  COSL 200  Options 
SOWK 101  ARTOP 1XX  Options; fulfills Humanities Breadth 
SOWK 111  ARTOP 1XX  Options 
SOWK 112  ARTOP 1XX  Options 
SOWK 203  ARTOP 2XX  Options 
SOWK 204  SOCI 2XX  Options or Sociology program requirements; fulfills Social Science Breadth 
TAST 101  ARTOP 1XX  Options 
TAST 129 and TAST 130  COSL 200  Options 
THAR 240  ARTOP 2XX  Options 
THAS 101  ARTOP 1XX  Options 
THAS 102  SCIOP 1XX  Options 
THAS 115  ARTOP 1XX  Options 
THAS 203  COSL 200  Options 
THAS 210  COSL 200  Options 
THAS 211  COSL 200  Options 
THAS 214  COSL 200  Options 
THAS 222  ARTOP 2XX  Options 
THPR 205  ARTOP 2XX  Options; fulfills Humanities Breadth 
THPR 206  ARTOP 2XX  Options; fulfills Humanities Breadth 
THPR 214  COSL 200  Options 
THPR 224  COSL 200  Options 
Mathematics Requirements
Mathematics Major
The Bachelor of Science (BSc) in Mathematics program requires students to complete 120 credits of nonduplicative coursework. In addition to the Mathematics Major, students will complete one of the following:
 one minor,
 two minors, or
 a secondary Science major
Students are required to complete option courses as well as the major(s) and minor(s). All BSc degrees require Breadth Requirements. Courses can satisfy both the breadth requirements and requirements for the major(s), minor(s), or options.
The Mathematics Major is 45 to 60 credits with a minimum of 36 seniorlevel credits and a minimum of six credits at the 400level.
Note: Students majoring in Mathematics are required to complete CMPT 101 or CMPT 103.
Bachelor of Science  Mathematics Major
Code  Title  Credits 

Specific Major Requirements  
MATH 114  Elementary Calculus I  3 
MATH 115  Elementary Calculus II  3 
MATH 120  Basic Linear Algebra I  3 
or MATH 125  Linear Algebra I  
MATH 200  Fundamental Concepts of Math  3 
MATH 214  Intermediate Calculus I  3 
MATH 215  Intermediate Calculus II  3 
MATH 225  Linear Algebra II  3 
MATH 229  Abstract Algebra I  3 
or MATH 241  Geometry  
MATH 310  Real Analysis  3 
MATH 330  Ordinary Differential Equations  3 
General Major Requirements  
Choose 15 to 30 credits from seniorlevel MATH. Students can also use STAT 265, STAT 266, STAT 312, and/or STAT 412 to fulfill the general major requirements.  1530  
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 seniorlevel.  1860  
Options  
Students can complete up to 15 credits in outoffaculty options, with no more than 3 credits in physical activity (PACT) courses.  060  
Total Credits  120 
Mathematics Honours
The Bachelor of Science (BSc) Mathematics Honours degree program requires students to complete 120 credits of nonduplicative coursework. The Mathematics Honours program is comprised of 81 to 84 credits with a minimum of 12 credits at the 400level. Students are required to declare a minor subject as part of the Mathematics Honours requirements. Minors are comprised of 18 seniorlevel credits.
For admittance/acceptance into Mathematics Honours, students must present the following:
 Completion of a minimum of 45 universitylevel credits applicable to the program of study, with a GPA of 3.0 or higher
 24 of the 45 credits must have been completed in the last 12 months
 A minimum of six MATH credits completed at the seniorlevel
 A minimum GPA of 3.3 across all seniorlevel MATH courses
Students accepted and enrolled in the Mathematics Honours program must maintain a minimum overall GPA of 3.0. As well, students must maintain a minimum GPA of 3.3 across all seniorlevel MATH courses and STAT 265, STAT 266, or STAT 322 (if completed) for each 12 consecutive months following acceptance into the Honours program. Failure to maintain a 3.3 Honours GPA will result in the student's program status reverting to a BSc Mathematics Major.
All BSc degrees require Breadth Requirements. Courses can satisfy both the breadth requirements and requirements for Honours, minor(s), or options.
Bachelor of Science  Mathematics Honours
Code  Title  Credits 

Specific Honours Requirements  
MATH 114  Elementary Calculus I  3 
MATH 115  Elementary Calculus II  3 
MATH 120  Basic Linear Algebra I  3 
or MATH 125  Linear Algebra I  
MATH 200  Fundamental Concepts of Math  3 
MATH 214  Intermediate Calculus I  3 
MATH 215  Intermediate Calculus II  3 
MATH 225  Linear Algebra II  3 
MATH 229  Abstract Algebra I  3 
MATH 241  Geometry  3 
MATH 310  Real Analysis  3 
MATH 311  Theory of Functions of a Complex Variable  3 
MATH 329  Abstract Algebra II  3 
MATH 330  Ordinary Differential Equations  3 
MATH 410  Analysis and Topology  3 
MATH 499  Honours Thesis  3 
General Honours Requirements  
Honours Requirements  
Choose 18 to 21 credits from seniorlevel MATH. Students can also use STAT 265, STAT 266, STAT 312, and/or STAT 412 to fulfill the general Honours requirements.  1821  
Required Minor  
Minor discipline chosen in consultation with the Mathematics Honours advisor  18  
Option Courses  
Students can complete up to 15 credits in outoffaculty options, with no more than 3 credits in physical activity (PACT) courses.  3639  
Total Credits  120 
Mathematics Minor
The Mathematics Minor requires 18 seniorlevel MATH credits with a minimum of six credits at the 300 or 400level.
Note: Juniorlevel required courses MATH 114, MATH 115, and one of MATH 120 or MATH 125.
Code  Title  Credits 

Minor Requirements  
Choose 18 credits from seniorlevel MATH. Students can also use STAT 265, STAT 266, STAT 312 and/or STAT 412 to fulfill the minor requirements.  18  
Total Credits  18 
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, upon admission to the Bachelor of Science (BSc), students must complete at MacEwan University:
 A minimum of 24 credits at the seniorlevel in the major discipline, with 12 of those senior credits completed at the 300 or 400level. All 400level requirements are to be completed at MacEwan University.
 If applicable, a minimum of nine credits in a minor at the seniorlevel, with at least three of those credits completed at the 300 or 400level.
Students with a previous MacEwan University credential are required to complete a minimum of 45 credits upon admission to the BSc.
Students who hold a baccalaureate degree from another postsecondary institution must complete a minimum of 60 additional MacEwan University credits applicable to the BSc. Fortyfive of these credits must be completed while the students is enrolled in the BSc. This credit requirement applies to students who began their studies at MacEwan University and completed a credential at another institution.
Students who interrupt their program and who must apply for readmission to the program will be required to comply with any new regulations upon resumption of their studies.
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. Primary majors are selected from Science disciplines and consist of 42 to 60 junior and seniorlevel credits; secondary majors can be from an Science or Arts discipline. Multidisciplinary majors consist of 6072 junior and seniorlevel credits. Except for 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 outoffaculty minor. Students can redeclare 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 configuration of the student's degree, meeting the requirements for the degree may require the completion of more than 120 credits for graduation. Students are strongly encouraged to consult with an academic advisor in the Faculty of Arts and Science Advising Office 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.
Restricted Enrolment Courses
The Faculty of Arts and Science strives to accommodate all students wishing to enrol in a given course when it is appropriate to their program: however, classes in some courses must, for academic reasons, be restricted in size. If such a course is found to be oversubscribed, priority in registration will be given to those students whose programs may require it (e.g., majors, Honours, and/or minors) and then to other students as space permits.
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) on or before the published deadline 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 SeniorLevel Courses
Courses numbered from 100 to 199 are considered juniorlevel and courses numbered from 200 to 499 are considered seniorlevel.
Major or Minor 300 and 400 Level Requirements
The 300 and 400level 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 JuniorLevel Courses
A maximum of 48 credits at the 100level are permitted in completion of the B.Sc. degree. Additional courses at the 100level 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 or credit CR 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. Unless otherwise stated, 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.
OutofFaculty Options Requirements
Students may take a maximum of 18 credits from courses offered by a MacEwan University Faculty or School other than Arts and Science. Students completing an outoffaculty minor or laddering students who have met the minor requirements with a MacEwan University diploma must complete their degree requirements from courses offered within the Faculty of Arts and Science or from the list of CrossFaculty Course Recognitions in the Academic Calendar. Courses deemed as CrossFaculty Course Recognitions are used to fulfill inFaculty courses within the BSc and do not count as outofFaculty options.
Progression of Studies
Students are responsible for ensuring they meet the prerequisite and/or corequisite 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.
Acceptance to Honours
For consideration of admittance/acceptance into Honours, students must present a minimum of 45 universitylevel credits applicable to the program of study, with a GPA of 3.0 or higher. They must complete 24 of the 45 credits in the last 12 months; however, exceptions to this rule may occur with the approval of the Honours discipline advisor. Individual departments may have additional requirements noted in their program of study.
Course Load
Students accepted into an Honours program must complete 24credits 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 across all courses in the degree. 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.
Program Learning Outcomes
Faculty of Arts and Science DegreeLevel Learning Outcomes
Thinking about knowledge is at the core of University education and learning within the Faculty of Arts and Science. Students develop capacities to “thinkthrough”  to practice wonder, reflection, and engage in thoughtful inquiry and dialogue. Thinkingthrough involves questioning beyond the confines of one's immediate personal, social, and disciplinary surroundings. First, knowledge is acquired and understood. Learning moves beyond acquiring information and data to a formally disciplined manner of thinking about knowledge. Next, knowledge is interrogated by asking and answering questions, distinguishing between opinion and knowledge, and developing tools to assess reasons and evidence. Finally, knowledge is synthesized as students develop coherent arguments, and link ideas together beyond what is immediately apparent. Learning is a lifelong creative process of discovery and action that happens beyond the classroom and the degree. Our graduates interact with and contribute to their community by integrating and applying the research and communication skills and ways of knowing developed through their education. Learning outcomes capture the observable knowledge, skills, and abilities graduates acquire that are the foundation of learning.
Graduates will demonstrate their ability to “thinkthrough” by:
 Analysing puzzles, problems, concepts, and theories.
 Conceptualizing questions based on disciplinary knowledge.
 Evaluating knowledge within and across disciplines in ways that acknowledge historical, cultural, and social contexts.
Graduates will demonstrate research and scholarship skills by:
 Applying appropriate research skills and ethical principles.
 Interpreting results appreciating the value and limits of conclusions.
 Recognizing how research involves an ongoing process of reflection, dialogue, and reassessment.
Graduates will demonstrate diverse skills for communication by:
 Conveying complex ideas coherently in a variety of formats.
 Appraising information in ways that consider context and audience.
 Interpreting the ideas and arguments of others in ways that reflect their knowledge, judgement, and comprehension.
Graduates will demonstrate durable skills necessary for learning beyond their degree by:
 Collaborating with diverse groups.
 Examining different perspectives and challenging biases and preconceptions.
 Exploring the continuous impact and limitations of disciplinary knowledge and expertise.
Mathematics Major Program Learning Outcomes
1. Remembering
Define mathematical concepts clearly and concisely and support them with examples.
2. Understanding
Show proficiency in mathematical terms and concepts to follow and evaluate arguments by using different strategies. Have an awareness of questions to which mathematics can provide answers. Use a heuristic aspect of developing a mathematical concept before formalizing it with all the necessary proofs.
3. Creating and Applying
Make use of mathematical terminology in a variety of contexts where they arise. Develop a strategy to formulate and solve a mathematical problem. Use a critical integrated knowledge system to form a judgment and apply it in formulating a mathematical problem and use appropriate reasoning skills to solve the problem. Apply computational algorithms in theoretical or applied settings.
4. Analyzing
Analyze qualitatively diverse types of mathematical representations using various processes. Analyze a mathematical problem to discover strategies for optimization of solutions.
5. Evaluating
Prove ability in applying mathematical principles and processes in solving problems in mathematics, other disciplines, and in everyday life.
Mathematics Honours Program Learning Outcomes
1. Remembering
Explain mathematical concepts comprehensively and support them with proofs and examples.
2. Understanding
Demonstrate proficiency in mathematical terms and concepts to follow and evaluate arguments by using different strategies. Connect mathematical knowledge that promotes innovative ideas that advance knowledge on established results and past decisions. Use a heuristic aspect of developing a mathematical concept before formalizing it with all the necessary proofs.
3. Creating and Applying
Apply and develop mathematical concepts or algorithms in solving problems with varying degrees of difficulty. Apply appropriately critical integrated systems to form a judgement based on logical deduction, evaluation, reflection, explanation, and informed argument. Identify theoretical or applied situations which require the association of mathematical representations and apply specific algorithms in solving problems and modeling processes.
4. Analyzing
Examine conditions of existence or compatibility of mathematical systems and identify appropriate methods to solve them. Analyze qualitatively diverse types of mathematical representations using various processes. Formulate, model, represent, and solve related mathematical problems arising from various contexts and applications. Discover strategies for optimization of solutions.
5. Evaluating
Process quantitative, qualitative, structural, and contextual data contained in mathematical problems and interpret their solutions in the context where they arose. Use "outsidethebox" thinking based on mathematical reasoning skills (analysis, evaluation, and synthesis) to inform abstract and creative thinking into novel ways of information processing and problemsolving. Maximize problemsolving by choosing appropriate strategies and methods (e.g., algebraic, vectorial, analytic, synthetic).
Mathematics Minor Program Learning Outcomes
1. Remembering
Define basic concepts related to numbers, measuring, structures, and operations.
2. Understanding
Show proficiency in basic mathematical terms and concepts to follow and evaluate arguments. Have an awareness of questions to which mathematics can provide answers.
3. Creating and Applying
Make use of mathematical terminology in a variety of contexts where they arise. Use mathematical tools learned by applying them in solving basic mathematics problems and to assist in finding solutions to problems from other disciplines.
4. Analyzing
Test for the validity of an answer to a mathematical problem by comparing different methods. Use fundamental mathematical analysis to verify solutions and use judgment to discern whether a solution is reasonable in the context where it arose.
5. Evaluating
Choose appropriate mathematical methods to approach a problem that shows direct mathematical evidence.
Student Plan
 The student plan provides a suggested course sequence with the minimum number of credits required for the major
 The suggested course sequence depends on course availability, the student's schedule, and the student's choice of minor(s) or secondary major
 It is highly recommended that students complete their Breadth Requirements by the end of year 2
 Students can also use STAT 265, STAT 266, STAT 312, or STAT 322 to fulfill general major requirements

Year 1 Credits MATH 114 3 MATH 115 3 Choose 3 credits (1 course) from the following: 3 Choose 3 credits (1 course) from the following: 3 ENGL 102 3 Breadth Requirements 15 30 Year 2 Credits MATH 200 3 MATH 214 3 MATH 215 3 MATH 225 3 Choose 3 credits (1 course) from the following: 3 Breadth, Option, Minor(s), or Primary or Secondary Major Requirements 15 30 Year 3 Credits MATH 310 3 MATH 330 3 Choose 3 credits (1 course) from seniorlevel MATH 3 Options, Minor(s), or Primary or Secondary Major Requirements 21 30 Year 4 Credits Choose 6 credits (2 courses) from 400level MATH 6 Choose 6 credits (2 courses) from seniorlevel MATH 6 Options, Minor(s), or Primary or Secondary Major Requirements 18 30 Total Credits 120
Expected Course Offerings
Following is a list of expected course offerings for 20232024 and 20242025. While some might change, students can be assured that required courses will be available.
Code  Title  Credits 

Fall 2023  
Precalculus Mathematics  
Elementary Calculus I  
Elementary Calculus II  
Basic Linear Algebra I  
Linear Algebra I  
Fundamental Concepts of Math  
Intermediate Calculus I  
Introduction to Combinatorics  
Linear Algebra II  
Geometry  
Real Analysis  
Matrix Theory and Applications  
Ordinary Differential Equations  
Introduction to Graph Theory  
Special Topics in Mathematics 
Code  Title  Credits 

Winter 2024  
Precalculus Mathematics  
Elementary Calculus I  
Elementary Calculus II  
Basic Linear Algebra I  
Linear Algebra I  
Fundamental Concepts of Math  
Intermediate Calculus II  
Linear Algebra II  
Algebra: Introduction to Ring Theory  
Theory of Functions of a Complex Variable  
Elementary Number Theory  
Numerical Methods  
Modern Geometries  
Groups and Galois Theory  
Introduction to Partial Differential Equations 
Code  Title  Credits 

SpringSummer 2024  
Precalculus Mathematics  
Elementary Calculus I  
Elementary Calculus II  
Basic Linear Algebra I  
Fundamental Concepts of Math  
Introduction to Graph Theory 
Code  Title  Credits 

Fall 2024  
Precalculus Mathematics  
Elementary Calculus I  
Elementary Calculus II  
Basic Linear Algebra I  
Linear Algebra I  
Fundamental Concepts of Math  
Intermediate Calculus I  
Introduction to Combinatorics  
Linear Algebra II  
Geometry  
Real Analysis  
Matrix Theory and Applications  
Abstract Algebra II  
Ordinary Differential Equations  
Introduction to Graph Theory  
Special Topics in Mathematics 
Code  Title  Credits 

Winter 2025  
Precalculus Mathematics  
Elementary Calculus I  
Elementary Calculus II  
Basic Linear Algebra I  
Linear Algebra I  
Higher Arithmetic  
Fundamental Concepts of Math  
Intermediate Calculus II  
Linear Algebra II  
Abstract Algebra I  
Theory of Functions of a Complex Variable  
Elementary Number Theory  
Numerical Methods  
Analysis and Topology  
Introduction to the Theory of Modules  
Applied Dynamical Systems 
Admission Requirements
Applicants may be admitted to one of the following:
Regular Admission
To be evaluated through the Office of the University Registrar
Applicants must have a minimum overall average of 65 percent, with no course grade lower than 50 percent, in the following high school courses:
 ELA 301
 Mathematics 301
 Two of Biology 30, Chemistry 30, Mathematics 31, Physics 30, or Computing ScienceAdvanced Career and Technology Studies (5 credits)
 One subject from Group A, B, C or D
Notes:
 A maximum of one Group D subject may be presented. Group D subjects used for admission must be 5credit or any credit combination of at least 5 credits (e.g., two 3credit subjects).
Applicants with nine to 23 universitylevel credits must also present a minimum Admission Grade Point Average (AGPA) of 2.0 on a 4.0 scale. Applicants with 24 or more universitylevel credits will be considered under Previous PostSecondary Work.
Mature Admission
To be evaluated through the Office of the University Registrar
Applicants must be Canadian Applicants, 20 years of age or older, and have been out of fulltime high school at least one year by the beginning of the intake term. Applicants must have a minimum overall average of 60 percent, with no course grade lower than 50 percent, in the following high school courses:
 ELA 301
 Mathematics 301
 Two of Biology 30, Chemistry 30, Mathematics 31, Physics 30, or Computing ScienceAdvanced Level Career and Technology Studies (5 credits)
Applicants with nine to 23 universitylevel credits must also present a minimum Admission Grade Point Average (AGPA) of 2.0 on a 4.0 scale. Applicants with 24 or more universitylevel credits will be considered under Previous PostSecondary Work.
Previous PostSecondary Work
To be evaluated through the Office of the University Registrar
Admission in this category does not imply or guarantee the transfer of any coursework and/or credential unless a block transfer agreement (internal or external) is in effect and published in the calendar by the Office of the University Registrar. In addition, transfer of coursework does not imply or guarantee that an applicant will be admitted.
Applicants must have successfully completed the following:
 A minimum of 24 universitylevel credits, from a recognized institution, with a minimum Admission Grade Point Average (AGPA) of 2.0 on a 4.0 scale.
 The required mathematics and science courses listed under the Regular or Mature Admission category.
Additional Admission Criteria
All applicants must meet the following:
1. English Language Proficiency
To be evaluated through the Office of the University Registrar
Applicable to All Admission Categories
All applicants must meet an acceptable level of English language proficiency. We will require official documents such as high school or postsecondary transcripts or proof of successful completion of standardized language evaluation. Full details are available in MacEwan University’s academic calendar or online at MacEwan.ca/ELP.
2. Other Admission Criteria
To be evaluated through the Office of the University Registrar
Applicable to All Admission Categories
Applicants who have been assigned two unsatisfactory academic records within the past five years will not be considered for admission or readmission to the program until a minimum three years from the date of the assignment of the last unsatisfactory academic record. For the purpose of admission or readmission, an unsatisfactory record is defined as a transcript with the notation ‘required to withdraw’ or equivalent.
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 301 or Mathematics 302.
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 301 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 GramSchmidt process; eigenvalues and eigenvectors; and complex numbers. Note: This course is restricted to Engineering students. MATH 100 may be taken as a corequisite 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 301, or successful completion (50% or better) of Mathematics 31, or a 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: A 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 nspace, 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 nspace, 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 301 or a minimum grade of 80% in Mathematics 302.
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 nspace, 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 nspace, 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 301.
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 offered to students who intend to pursue Elementary Education.
Prerequisites: Mathematics 301 or Mathematics 302 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.
Prerequisites: A minimum grade of C in one of MATH 114, MATH 120, or MATH 125.
MATH 214
Intermediate Calculus I
3 Credits
This course completes the study of singlevariable calculus and introduces students to the basic concepts of multivariable calculus. Topics in singlevariable calculus include area and arc length of plane curves defined by parametric or polar equations, infinite series, and power series. Topics in multivariable 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: A minimum grade of C in MATH 214.
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, inclusionexclusion principle, generating functions, recurrences and applications to graph theory.
Prerequisites: A minimum grade of C in any 100level 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 nspace, spaces of continuous functions, matrix spaces, GramSchmidt process, QRfactorization, least squares method, change of basis, eigenspaces, orthogonal diagonalization, quadratic forms, matrices of transformations and similarity. Various applications are presented.
Prerequisites: A minimum grade of C in either MATH 120 or MATH 125.
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 wellordering axiom, the Binomial Theorem, the Euclidean algorithm, the Fundamental Theorem of Arithmetic, and the Chinese Remainder Theorem.
Prerequisites: Minimum grades of C in either MATH 200 or MATH 241, and in either MATH 120 or MATH 125.
MATH 229
Abstract Algebra I
3 Credits
This course is an introduction to the theory of rings and groups, including integral domains, division rings, ring homomorphisms, ideals, groups, subgroups, cyclic groups and group homomorphisms.
Prerequisites: Minimum grades of C in MATH 200 and one of 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 problemsolving tool.
Prerequisites: A minimum grade of C in any 100level 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 325
Matrix Theory and Applications
3 Credits
This course develops the study of matrices and their applications by way of special classes of matrices and matrix structure theorems. The main application will be to optimization problems.
Prerequisites: Minimum grades of C in MATH 225 and MATH 114.
MATH 329
Abstract Algebra II
3 Credits
This course continues the study of Abstract Algebra begun in Math 229 and studies rings of polynomials, divisibility, irreducibility, quotient rings, Euclidean domains, PIDs and UFDs, normal subgroups, quotient groups and the Sylow theorems.
Prerequisites: A minimum grade of C in MATH 229.
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 grades of C in MATH 214, and in either MATH 120 or MATH 125.
MATH 335
Numerical Methods
3 Credits
This course presents numerical methods for solving problems in linear algebra, nonlinear equations, interpolations, approximation of functions, differentiation and integration. The numerical algorithms are illustrated using an appropriate computer programming language and specific libraries.
Prerequisites: Minimum grades of C in MATH 214, CMPT 101, and one of MATH 120 or MATH 125.
MATH 341
Modern Geometries
3 Credits
This course explores Euclidean and NonEuclidean 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 grades of C in either MATH 120 or MATH 125, and 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 200level MATH courses.
MATH 398
Independent Study
3 Credits
This course permits an intermediatelevel 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 428
Introduction to Galois Theory
3 Credits
This course is an introduction to Galois Theory, covering topics such as algebraic extensions, algebraic closure, splitting fields, Galois extensions, the Galois group, the fundamental theorem of Galois theory and solvability of polynomial equations via radicals.
Prerequisites: A minimum grade of C in MATH 329.
MATH 429
Introduction to the Theory of Modules
3 Credits
This course is an introduction into the theory of modules over rings and covers topics as modules, homomorphisms and isomorphisms, quotient modules, free modules, generators, tensor products, Noetherian rings and modules.
Prerequisites: A minimum grade of C in MATH 329.
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 nonlinear 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 firstorder and linear secondorder 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 grades of C in MATH 310 and MATH 330.
MATH 495
Special Topics in Mathematics
3 Credits
This course examines an advanced topic of specialization in mathematics. The instructor chooses the topic in any given semester. Students can take this course up to three times, provided the course topic is different.
Prerequisites: A minimum grade of B in a 300level MATH course and consent of the department.
MATH 498
Advanced Independent Study in Mathematics
3 Credits
This course permits a seniorlevel 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.