Mathematics
The Mathematics division offers a full range of programs aimed at students of diverse interests and levels. This includes honours, major, minor and joint degree programs. We work closely with students to choose a program that is the right fit for their interests and goals. Mathematics is a creative activity with its own intrinsic value and beauty. Mathematics also provides a solid foundation for every scientific field. A degree in mathematics can prepare students for a career in academia, industry, management, information technology, banking, teaching, and other areas.
General Interest Courses
We offer a number of courses for students not majoring in Mathematics:
- MATH 1000.03/MATH 1010.03: These core calculus courses are the starting point for any degree program in the sciences.
- MATH 1030.03/MATH 2040.03 : These courses serve as introductions to matrix theory, linear equations and linear algebra, topics of importance in many fields.
- MATH 1060.03: This course serves as an introduction to the basic ideas of statistics, through examples drawn from a wide variety of disciplines.
- MATH 1215.03: This course emphasizes the application of calculus to the life sciences.
- MATH 2110.03: This course is concerned with the foundations of mathematics, including logic, set theory, and proof techniques.
- MATH 2300.03: Topics from science and technology are used to motivate and illustrate basic mathematical tools of linear algebra and calculus. Mathematical software such as Matlab and Maple is also introduced.
Six credit hours of Mathematics or Statistics are required for a BSc degree. The following courses may not be used to satisfy this requirement: MATH 1001.03, MATH 1002.03, MATH 1003.03, MATH 1115.03, MATH 1315.03.
Degree Programs
The Department of Mathematics and Statistics offers the following degree programs in Mathematics :
- BSc (120 credit hour) Honours (Concentrated)*
- BSc (120 credit hour) Combined Honours*
- BSc (120 credit hour) Major*
- BSc or BA (120 credit hour) Double Major*
- BSc (90 credit hour) Minor in Mathematics
- Minor in Mathematics (added to a 120 credit hour degree)
* May be combined with Minor programs from other disciplines
Departmental requirements for each degree program can be seen by following the links in the menu to the right.
In addition to departmental requirements, students must satisfy the requirements outlined in the Academic Regulations and the College of Arts and Science Degree Requirements sections.
A BSc degree is the choice of most students in Mathematics; however, a BA degree option is also available for each of the programs listed below. The Departmental requirements for each BA degree program are the same as those of the corresponding BSc degree program; however, students are advised that some of the general College of Arts and Science requirements differ for the BA and BSc degrees. Minors and certificates that can be combined with a BSc degree can also be combined with a BA degree.
A student is governed by the academic regulations in place at the time of initial enrolment, as long as the degree is completed within the time permitted (10 years). Subsequent changes in regulations shall apply only if the student so elects. Students applying the old academic regulations should consult the calendar of the appropriate year.
Students should plan their programs of study carefully and are strongly encouraged to do so in consultation with a Mathematics undergraduate academic advisor. Students who participated in the Integrated Science Program in their first year should consult the Undergraduate Calendar for first year course equivalencies.
Students in any Mathematics program are strongly encouraged to include CSCI 1105.03 and CSCI 1110.03 in their programs.
BSc (120 credit hour) Concentrated Honours in Mathematics
An Honours degree offers an in-depth preparation in undergraduate mathematics, including an independent research experience. This degree option is recommended for students interested in eventually pursuing graduate studies in mathematics. Honours students complete a minimum of 54 credit hours above the 1000 level in Mathematics with a minimum GPA of 3.0 and write an Honours Comprehensive Examination.
Admission to Honours
Students must apply for admission to Honours programs. Students considering Honours in Mathematics should consult with a Mathematics Honours Advisor early in their studies to have their programs approved.
Departmental requirements
The Department offers two Honours streams in Mathematics: (A) Pure Mathematics and (B) Applied Mathematics. Stream A emphasizes the power and beauty of mathematics as an independent academic discipline. Stream B emphasizes the connections between mathematics and other scientific disciplines. Both streams follow the same courses for the first two years. Students decide which stream to pursue during their second year.
In addition to fulfilling the requirements outlined in the Academic Regulations and College of Arts and Science Degree Requirements sections, students in a BSc Concentrated Honours program in Mathematics must complete the following courses:
1000 level
2000 level
- MATH 2001.03: Intermediate Calculus I/MATH 2002.03: Intermediate Calculus II
MATH 2135.03: Linear Algebra and MATH 2505.03: Introductory Analysis - Fifteen additional credit hours in mathematics at or above the 2000 level - not including courses listed below
3000 level
- MATH 3031.03: Abstract Algebra I and MATH 3501.03: Intermediate Analysis I
- Students in Stream A are required to take MATH 3032.03: Abstract Algebra II and MATH 3502.03: Intermediate Analysis II
- Students in Stream B are required to take MATH 3080.03: Introduction to Complex Variables and (MATH 3120.03: Differential Equations or MATH 3260.03: Applied Differential Equations)
4000 level
- MATH 4950.03: Honours Research Project
- Twelve additional credit hours at or above the 4000 level
Note: Students will not receive credit for taking MATH 1115.03 after receiving credit for MATH 1000.03, MATH 1500X, or MATH 1215.03
Programming requirement
- Students must complete a 3-credit course that incorporates computer programming. Suggested course is one of CSCI 2202.03, MATH 2300.03/STAT 2300.03, PHYC 2050.03/MATH 2052.03, or permission of advisor.
Students in Stream A are advised to include a selection of courses from the following list in their programs:
- MATH 2051.03: Problems in Geometry
- MATH 2113.03: Discrete Structures
- MATH 3045.03: Curves and Surfaces
- MATH 3070.03: Theory of Numbers
- MATH 3080.03: Introduction to Complex Variables
- MATH 3120.03: Differential Equations
- MATH 3330.03: Applied Graph Theory
- MATH 3360.03: Probability
Students in Stream B are advised to include a selection of courses from the following list in their programs:
- MATH 2060.03: Introduction to Probability and Statistics
- MATH 2300.03: Mathematical Modelling
- MATH 3032.03: Abstract Algebra II
- MATH 3045.03: Curves and Surfaces
- PHYC 3050.03: Introduction to Numerical Programming
- MATH 3300.03: Optimization
- MATH 3330.03: Applied Graph Theory
- MATH 3360.03: Probability
- MATH 3400.03: Classical Game Theory
- MATH 3502.03: Intermediate Analysis II
- MATH 3900.03: Financial Mathematics
Honours Comprehensive Examination
The Honours Comprehensive Examination in mathematics consists of a written paper of about 20-30 pages researched and prepared by the student. The topic is decided on in conjunction with the Honours advisor. The paper is also presented to the honours seminar. The work for this paper is done as part of the required course MATH 4950.03: Honours Research Project.
BSc (120 credit hour) Combined Honours in Mathematics and another subject
Students who wish to study Mathematics in conjunction with another subject may wish to pursue a Combined Honours degree program. The other subject may be any discipline from the Faculty of Science, the Faculty of Arts and Social Sciences, the Faculty of Computer Science, or the College of Sustainability. Mathematics may be the primary subject (defined as the subject with the larger number of honours credits), or the secondary subject. Students contemplating a Combined Honours program in Mathematics and another subject should bear in mind, however, that the work in either subject may be insufficient for admission to a regular graduate program.
Students planning to enrol in a Combined Honours program should consult with academic advisors from both programs early in their studies. The same standards and conditions for admission apply as for entry into a Concentrated Honours program (see above). In addition, students must have their program of study approved by Academic Advisors in both subject areas. Students must complete an Honours Qualifying Examination in one of the two subject areas, a requirement normally completed in the primary subject area. For Mathematics, this requirement is satisfied through MATH 4950.03.
Departmental Requirements
Students in a BSc Combined Honours program in Mathematics and another subject must fulfill the requirements outlined in the Academic Regulations and College of Arts and Science Degree Requirements sections. A combined total of 66 credit hours above the 1000 level must be completed in two subjects, with a minimum of 30 credit hours above the 1000 level in each subject. In addition, students must complete a minimum of 18 credit hours at the 3000 level or above in each of the primary and secondary subjects.
Students in a BSc Combined Honours program in Mathematics, with Mathematics either as the primary subject or as the secondary subject, must complete the following courses. The program must be approved by a Mathematics Honours Advisor and an Honours advisor from the other subject.
2000 level
• MATH 2001.03: Intermediate Calculus I
• MATH 2002.03: Intermediate Calculus II
• MATH 2135.03: Linear Algebra
• MATH 2505.03: Introductory Analysis
3000 level
• At least two of MATH 3031.03: Abstract Algebra I, MATH 3032.03: Abstract Algebra II, MATH 3080.03: Introduction to Complex Variables, (MATH 3120.03: Differential Equations or MATH 3260.03: Applied Differential Equations), MATH 3501.03: Intermediate Analysis I, MATH 3502.03: Intermediate Analysis II
4000 level
• Six additional credit hours in MATH at the 4000 level
If Mathematics is the primary subject, students must also complete:
• MATH 4950.03: Honours Research Project
Note: Students will not receive credit for taking MATH 1115.03 after receiving credit for MATH 1000.03, MATH 1500X, or MATH 1215.03
BSc (120 credit hour) Major in Mathematics
The 120 credit hour Major is suited to students who want to focus on Mathematics, but wish to have a program that is somewhat less constrained than the Honours program. Students in a Major program normally choose to concentrate in Pure Mathematics, Applied Mathematics or Mathematics Education.
Departmental Requirements
In addition to fulfilling the requirements outlined in the Academic Regulations and College of Arts and Science Degree Requirements sections, students in a BSc Major program in Mathematics must complete the following courses:
1000 level
2000 level
- MATH 2001.03: Intermediate Calculus I/MATH 2002.03: Intermediate Calculus II
- MATH 2040.03: Matrix Theory and Linear Algebra II (or MATH 2135.03: Linear Algebra)
- At least one of MATH 2110.03: Logic and set theory (or MATH 2112.03 : Discrete Structures I), MATH 2051.03: Problems in Geometry or MATH 2505.03: Introductory Analysis
- Six additional credit hours in MATH at or above 2000 level
- Three credit hours in a STAT course at or above 2000 level
3000 level
- 24 additional credit hours in MATH at or above the 3000 level. This selection may not include MATH 3700.03: Mathematics for Economists, MATH 3800.03: Financial Economics.
Programming requirement
- Students must complete a 3-credit course that incorporates computer programming. Suggested course is one of CSCI 2202, MATH 2300/STAT 2300, PHYC 2050/MATH 2052, or permission of advisor.
Students wishing to concentrate in Applied Mathematics should choose the additional MATH courses from
- MATH 2060.03: Introduction to Probability and Statistics/MATH 2080.03: Statistical Methods for Data Analysis and Inference
- MATH 2120.03: Methods for Ordinary Differential Equations/MATH 3120.03: Differential Equations
- MATH 2300.03: Mathematical Modelling
- MATH 3120.03: Differential Equations
- MATH 3210.03: Introduction to Numerical Analysis
- MATH 3300.03: Optimization
- MATH 3330.03: Applied Graph Theory
- MATH 3400.03: Classical Game Theory
Students wishing to concentrate in Pure Mathematics should choose the additional MATH courses from
- MATH 2060.03: Introduction to Probability and Statistics/MATH 2080.03
- MATH 2120.03: Methods for Ordinary Differential Equations/MATH 3120.03: Differential Equations
- MATH 3031.03: Abstract Algebra I/MATH 3032.03: Abstract Algebra II
- MATH 3045.03: Curves and Surfaces
- MATH 3070.03: Theory of Numbers
- MATH 3080.03: Introduction to Complex Variables
Students contemplating a career in Mathematics Education should choose the additional MATH courses from
- MATH 2051.03: Problems in Geometry
- MATH 2060.03: Introduction to Probability and Statistics/MATH 2080.03
- MATH 2110.03: Logic and set theory
- MATH 2113.03: Discrete Structures
- MATH 2300.03: Mathematical Modelling
- MATH 3031.03: Abstract Algebra I/MATH 3032.03: Abstract Algebra II
- MATH 3070.03: Theory of Numbers
- MATH 3080.03: Introduction to Complex Variables
- MATH 3140.03: Introduction to Wavelets
- MATH 3300.03: Optimization
- MATH 3330.03: Applied Graph Theory
- MATH 3400.03: Classical Game Theory
Note: Students will not receive credit for taking MATH 1115.03 after receiving credit for MATH 1000.03, MATH 1500X, or MATH 1215.03
BSc or BA (120 credit hour) Double Major in Mathematics and another subject
The Double Major degree program allows students to combine the study of Mathematics with another subject. The other subject may be any discipline from the Faculty of Science, the Faculty of Arts and Social Sciences, the Faculty of Computer Science or the College of Sustainability. Mathematics may be the primary subject (defined as the subject with the larger number of credits), or the secondary subject. If the primary subject area is from the Faculty of Arts and Social Sciences, the degree granted will be a BA.
Students enrolled in a Double Major program are advised to review their proposed program of study with advisors in both subject areas.
Departmental requirements
In addition to fulfilling the requirements outlined in the Academic Regulations and College of Arts and Science Degree Requirements sections, students in a BSc or BA Double Major program in Mathematics and another subject must complete the following:
Mathematics as the primary subject
Student completing a double major with Mathematics as the primary subject can fulfill the Mathematics requirements by following one of two programs below.
Pure Mathematics
1000 level
2000 level
- MATH 2001.03: Intermediate Calculus I and MATH 2002.03: Intermediate Calculus II
- MATH 2040.03: Matrix Theory and Linear Algebra II (or MATH 2135.03: Linear Algebra)
- At least two of MATH 2110.03: Logic and set theory (or MATH 2112.03: Discrete Structures I), MATH 2051.03: Problems in Geometry, MATH 2505.03: Introductory Analysis
3000 level
- 18 additional MATH credit hours at or above the 3000 level. This selection may not include MATH 3700.03: Mathematics for Economists, MATH 3800.03: Financial Economics.
Programming requirement
- Students must complete a 3-credit course that incorporates computer programming. Suggested course is one of CSCI 2202.03, MATH 2300.03/STAT 2300.03, PHYC 2050.03/MATH 2052.03, or permission of advisor.
Applied Mathematics
1000 level
2000 level
- MATH 2001.03: Intermediate Calculus I
- MATH 2040.03: Matrix Theory and Linear Algebra II (or MATH 2135.03: Linear Algebra)
- MATH 2120.03: Methods for Ordinary Differential Equations and MATH 2002.03: Intermediate Calculus II
- MATH 2060.03: Introduction to Probability and Statistics or MATH 2080.03: Statistical Methods for Data Analysis and Inference
3000 and 4000 level
- MATH 3120.03 or MATH 3260.03
- At least 15 credit hours selected from : MATH 3045.03, MATH 3080.03, MATH 3210.03, MATH 3300.03, MATH 3330.03, MATH 3340.03, MATH 3360.03, MATH 3400.03, MATH 3900.03, MATH 4190.03, MATH 4220.03, MATH 4230.03, MATH 4250.03, MATH 4320.03, MATH 4370.03, MATH 4540.03.
Programming requirement
- Students must complete a 3-credit course that incorporates computer programming. Suggested course is one of CSCI 2202.03, MATH 2300.03/STAT 2300.03, PHYC 2050.03/MATH 2052.03, or permission of advisor.
Mathematics as the secondary subject
A student enrolled in a Double Major with Mathematics as the secondary subject also fulfills the Mathematics requirements by following one of the programs listed above for a Double Major with Mathematics as the primary subject.
Note: Students will not receive credit for taking MATH 1115.03 after receiving credit for MATH 1000.03, MATH 1500X, or MATH 1215.03.
Minor in Mathematics
This minor is available to students registered in a 120 credit hour Bachelor of Applied Computer Science, Bachelor of Arts, Bachelor of Commerce, Bachelor of Community Design, Bachelor of Computer Science, Bachelor of Informatics, Bachelor of Management, Bachelor of Music, Bachelor of Science or Bachelor of Science (Medical Sciences) program.
BA or BSc (90 credit hour) degree program with a Minor in Mathematics is also available.
Requirements
* A minimum of 18 credit hours in MATH courses at the 2000 level or higher to a maximum of 36 credit hours.
* It is recommended that students take MATH 1010 and MATH 1030. These are prerequisites for many other upper-level MATH courses.
Contact Mathematics and Statistics for more information.
BSc (90 credit hour) Minor in Mathematics
The 90 credit hour Minor in Mathematics is appropriate for students who want to study some Mathematics but do not wish to complete the conventional four-year program. The degree is best suited for students who want a general science degree with some specialization in Mathematics. A 90 credit hour degree program is not suitable for students who wish to pursue graduate studies. With additional study, the degree may be upgraded to a 120 credit hour Major or Honours degree at a later date.
A 90 credit hour BSc in Mathematics is usually the preferred option for students who wish to combine studies in Mathematics with a degree in Engineering (see BSc/BEng Concurrent Program).
See the Minor in Mathematics section of this Calendar.
Co-op, Minors, Certificates and Engineering Concurrent Programs for Students
Minors available to students in Mathematics
Minor programs allow students to develop subject specialties in addition to their Major or Honours subjects. Minors in other subjects are normally added to 120 credit hour BSc or BA programs (including Science Co-op).
Students in a BSc (120 credit hour) program in Mathematics may choose to include a Minor selected from the list of approved Minors. Courses counted toward a Major or Honours subject cannot be used to fulfill the requirements of a Minor program.
Certificates
In combination with a BSc in Mathematics, students may obtain one or more Certificates. A Certificate indicates that a student has achieved a certain level of proficiency in a given area or subspecialty. Courses counted toward a Major, Honours or Minor subject may also be used to fulfill the requirements of a Certificate. Students must apply to the Certificate Coordinator to be considered for a Certificate. Certificates are awarded upon graduation and are noted on the student’s academic transcript.
A complete list of Faculty of Science Certificates and requirements can be found at the beginning of the Faculty of Science section. Students may also work toward obtaining Certificates offered by other Faculties; some of these are listed in the College of Arts and Science Degree Requirements section of the calendar.
Certificates of particular interest to students enrolled in a BSc in Mathematics include:
- Certificate in Actuarial and Financial Mathematics
- Certificate in Applied and Computational Mathematics
BSc/BEng Concurrent Program
BEng/BSc (90 credit hour) concurrent degree (Mathematics)
This degree combines an engineering degree with a deeper knowledge of mathematics, and provides a strong foundation for students interested in areas such as robotics, telecommunications, systems analysis and modelling. Following is the recommended sequence of courses for students wishing to obtain a concurrent BEng and BSc (90 credit hour) degree with Minor in Mathematics. Interested students must consult with the Assistant Dean, Faculty of Science, and the Associate Dean, Faculty of Engineering prior to enrolling in a concurrent BEng/BSc degree.
It is recommended that students also discuss their selection of courses with an undergraduate advisor in the Department of Mathematics and Statistics. A concurrent BEng/BSc Honours Mathematics program can be designed for interested candidates.
a To meet the BSc 90 credit hour Minor in Mathematics requirements, students complete 30 credit hours in addition to their Engineering requirements: 12 credit hours of MATH courses at or above the 2000 level, as specified above, 6 MATH credit hours at or above the 3000 level, 6 credit hours of social science/humanities courses, and 6 credit hours in Science/FASS courses (which may be MATH)
b Writing requirement: choose from eligible writing courses in CLAS, ENGL, GERM, HIST, PERF, PHIL, RELS, or RUSN to fulfill writing and humanities requirements [College of Arts and Science]
c Choose from CANA, CTMP, ECON, EMSP, EURO, GWST, HIST, HSTC, INTD, POLI, PSYO, SOSA, SUST for social science courses. Choose from ARBC, CANA, CHIN, CLAS, CTMP, CRWR, EMSP, EURO, SWST, GERM, HIST, HTSC, ITAL, PERF, PHIL, RELS, RUSN, SPAN and THEA for humanities courses
d See Engineering section of the calendar for details
e Upper level courses that may be of particular interest to Engineering students include MATH 4220, MATH 4230 and MATH 4165
Notes:
Courses
Below you will find descriptions for courses offered in this field of study. You will find a general overview of the topics covered and any prerequisite course or grade requirements, credit value and exclusions.
The first digit of the course indicates the general level. Those in the 1000 series are introductory degree level. Courses at the 2000, 3000, 4000 series are available to students in the second, third, fourth year. Courses numbered at the 5000 level or above are graduate level. Courses listed at the 0100 or 0200 series are technology level courses. Courses below the 0100 level are generally non credit courses.
Some courses are listed as exclusionary to one another. This means that students may not take both courses so designated.
Not all courses are offered each year. Please consult the current timetable for this year’s offering. For further information please contact the department.
Course Notes
Course descriptions for Statistics can be found in the calendar under Statistics.
Credit may not be obtained twice for the same course even if the numbers have been changed.
Courses with the designation (MLC) are supported by the tutorial services of the Math Learning Centre.
The following three courses below the 1000 level are offered by the College of Continuing Education. Students register and pay for them at the College of continuing Education located at 1220 LeMarchant Street, 2nd Floor or by calling (902) 494-2375 (see College of Continuing Education for more details).
Honours
BSc (120 credit hour) Concentrated Honours in Mathematics
An Honours degree offers an in-depth preparation in undergraduate mathematics, including an independent research experience. This degree option is recommended for students interested in eventually pursuing graduate studies in mathematics. Honours students complete a minimum of 54 credit hours above the 1000 level in Mathematics with a minimum GPA of 3.0 and write an Honours Comprehensive Examination.
Admission to Honours
Students must apply for admission to Honours programs. Students considering Honours in Mathematics should consult with a Mathematics Honours Advisor early in their studies to have their programs approved.
Departmental requirements
The Department offers two Honours streams in Mathematics: (A) Pure Mathematics and (B) Applied Mathematics. Stream A emphasizes the power and beauty of mathematics as an independent academic discipline. Stream B emphasizes the connections between mathematics and other scientific disciplines. Both streams follow the same courses for the first two years. Students decide which stream to pursue during their second year.
In addition to fulfilling the requirements outlined in the Academic Regulations and College of Arts and Science Degree Requirements sections, students in a BSc Concentrated Honours program in Mathematics must complete the following courses:
1000 level
2000 level
- MATH 2001.03: Intermediate Calculus I/MATH 2002.03: Intermediate Calculus II
MATH 2135.03: Linear Algebra and MATH 2505.03: Introductory Analysis - Fifteen additional credit hours in mathematics at or above the 2000 level - not including courses listed below
3000 level
- MATH 3031.03: Abstract Algebra I and MATH 3501.03: Intermediate Analysis I
- Students in Stream A are required to take MATH 3032.03: Abstract Algebra II and MATH 3502.03: Intermediate Analysis II
- Students in Stream B are required to take MATH 3080.03: Introduction to Complex Variables and (MATH 3120.03: Differential Equations or MATH 3260.03: Applied Differential Equations)
4000 level
- MATH 4950.03: Honours Research Project
- Twelve additional credit hours at or above the 4000 level
Note: Students will not receive credit for taking MATH 1115.03 after receiving credit for MATH 1000.03, MATH 1500X, or MATH 1215.03
Programming requirement
- Students must complete a 3-credit course that incorporates computer programming. Suggested course is one of CSCI 2202.03, MATH 2300.03/STAT 2300.03, PHYC 2050.03/MATH 2052.03, or permission of advisor.
Students in Stream A are advised to include a selection of courses from the following list in their programs:
- MATH 2051.03: Problems in Geometry
- MATH 2113.03: Discrete Structures
- MATH 3045.03: Curves and Surfaces
- MATH 3070.03: Theory of Numbers
- MATH 3080.03: Introduction to Complex Variables
- MATH 3120.03: Differential Equations
- MATH 3330.03: Applied Graph Theory
- MATH 3360.03: Probability
Students in Stream B are advised to include a selection of courses from the following list in their programs:
- MATH 2060.03: Introduction to Probability and Statistics
- MATH 2300.03: Mathematical Modelling
- MATH 3032.03: Abstract Algebra II
- MATH 3045.03: Curves and Surfaces
- PHYC 3050.03: Introduction to Numerical Programming
- MATH 3300.03: Optimization
- MATH 3330.03: Applied Graph Theory
- MATH 3360.03: Probability
- MATH 3400.03: Classical Game Theory
- MATH 3502.03: Intermediate Analysis II
- MATH 3900.03: Financial Mathematics
Honours Comprehensive Examination
The Honours Comprehensive Examination in mathematics consists of a written paper of about 20-30 pages researched and prepared by the student. The topic is decided on in conjunction with the Honours advisor. The paper is also presented to the honours seminar. The work for this paper is done as part of the required course MATH 4950.03: Honours Research Project.
BSc (120 credit hour) Combined Honours in Mathematics and another subject
Students who wish to study Mathematics in conjunction with another subject may wish to pursue a Combined Honours degree program. The other subject may be any discipline from the Faculty of Science, the Faculty of Arts and Social Sciences, the Faculty of Computer Science, or the College of Sustainability. Mathematics may be the primary subject (defined as the subject with the larger number of honours credits), or the secondary subject. Students contemplating a Combined Honours program in Mathematics and another subject should bear in mind, however, that the work in either subject may be insufficient for admission to a regular graduate program.
Students planning to enrol in a Combined Honours program should consult with academic advisors from both programs early in their studies. The same standards and conditions for admission apply as for entry into a Concentrated Honours program (see above). In addition, students must have their program of study approved by Academic Advisors in both subject areas. Students must complete an Honours Qualifying Examination in one of the two subject areas, a requirement normally completed in the primary subject area. For Mathematics, this requirement is satisfied through MATH 4950.03.
Departmental Requirements
Students in a BSc Combined Honours program in Mathematics and another subject must fulfill the requirements outlined in the Academic Regulations and College of Arts and Science Degree Requirements sections. A combined total of 66 credit hours above the 1000 level must be completed in two subjects, with a minimum of 30 credit hours above the 1000 level in each subject. In addition, students must complete a minimum of 18 credit hours at the 3000 level or above in each of the primary and secondary subjects.
Students in a BSc Combined Honours program in Mathematics, with Mathematics either as the primary subject or as the secondary subject, must complete the following courses. The program must be approved by a Mathematics Honours Advisor and an Honours advisor from the other subject.
2000 level
• MATH 2001.03: Intermediate Calculus I
• MATH 2002.03: Intermediate Calculus II
• MATH 2135.03: Linear Algebra
• MATH 2505.03: Introductory Analysis
3000 level
• At least two of MATH 3031.03: Abstract Algebra I, MATH 3032.03: Abstract Algebra II, MATH 3080.03: Introduction to Complex Variables, (MATH 3120.03: Differential Equations or MATH 3260.03: Applied Differential Equations), MATH 3501.03: Intermediate Analysis I, MATH 3502.03: Intermediate Analysis II
4000 level
• Six additional credit hours in MATH at the 4000 level
If Mathematics is the primary subject, students must also complete:
• MATH 4950.03: Honours Research Project
Note: Students will not receive credit for taking MATH 1115.03 after receiving credit for MATH 1000.03, MATH 1500X, or MATH 1215.03
Major
BSc (120 credit hour) Major in Mathematics
The 120 credit hour Major is suited to students who want to focus on Mathematics, but wish to have a program that is somewhat less constrained than the Honours program. Students in a Major program normally choose to concentrate in Pure Mathematics, Applied Mathematics or Mathematics Education.
Departmental Requirements
In addition to fulfilling the requirements outlined in the Academic Regulations and College of Arts and Science Degree Requirements sections, students in a BSc Major program in Mathematics must complete the following courses:
1000 level
2000 level
- MATH 2001.03: Intermediate Calculus I/MATH 2002.03: Intermediate Calculus II
- MATH 2040.03: Matrix Theory and Linear Algebra II (or MATH 2135.03: Linear Algebra)
- At least one of MATH 2110.03: Logic and set theory (or MATH 2112.03 : Discrete Structures I), MATH 2051.03: Problems in Geometry or MATH 2505.03: Introductory Analysis
- Six additional credit hours in MATH at or above 2000 level
- Three credit hours in a STAT course at or above 2000 level
3000 level
- 24 additional credit hours in MATH at or above the 3000 level. This selection may not include MATH 3700.03: Mathematics for Economists, MATH 3800.03: Financial Economics.
Programming requirement
- Students must complete a 3-credit course that incorporates computer programming. Suggested course is one of CSCI 2202, MATH 2300/STAT 2300, PHYC 2050/MATH 2052, or permission of advisor.
Students wishing to concentrate in Applied Mathematics should choose the additional MATH courses from
- MATH 2060.03: Introduction to Probability and Statistics/MATH 2080.03: Statistical Methods for Data Analysis and Inference
- MATH 2120.03: Methods for Ordinary Differential Equations/MATH 3120.03: Differential Equations
- MATH 2300.03: Mathematical Modelling
- MATH 3120.03: Differential Equations
- MATH 3210.03: Introduction to Numerical Analysis
- MATH 3300.03: Optimization
- MATH 3330.03: Applied Graph Theory
- MATH 3400.03: Classical Game Theory
Students wishing to concentrate in Pure Mathematics should choose the additional MATH courses from
- MATH 2060.03: Introduction to Probability and Statistics/MATH 2080.03
- MATH 2120.03: Methods for Ordinary Differential Equations/MATH 3120.03: Differential Equations
- MATH 3031.03: Abstract Algebra I/MATH 3032.03: Abstract Algebra II
- MATH 3045.03: Curves and Surfaces
- MATH 3070.03: Theory of Numbers
- MATH 3080.03: Introduction to Complex Variables
Students contemplating a career in Mathematics Education should choose the additional MATH courses from
- MATH 2051.03: Problems in Geometry
- MATH 2060.03: Introduction to Probability and Statistics/MATH 2080.03
- MATH 2110.03: Logic and set theory
- MATH 2113.03: Discrete Structures
- MATH 2300.03: Mathematical Modelling
- MATH 3031.03: Abstract Algebra I/MATH 3032.03: Abstract Algebra II
- MATH 3070.03: Theory of Numbers
- MATH 3080.03: Introduction to Complex Variables
- MATH 3140.03: Introduction to Wavelets
- MATH 3300.03: Optimization
- MATH 3330.03: Applied Graph Theory
- MATH 3400.03: Classical Game Theory
Note: Students will not receive credit for taking MATH 1115.03 after receiving credit for MATH 1000.03, MATH 1500X, or MATH 1215.03
BSc or BA (120 credit hour) Double Major in Mathematics and another subject
The Double Major degree program allows students to combine the study of Mathematics with another subject. The other subject may be any discipline from the Faculty of Science, the Faculty of Arts and Social Sciences, the Faculty of Computer Science or the College of Sustainability. Mathematics may be the primary subject (defined as the subject with the larger number of credits), or the secondary subject. If the primary subject area is from the Faculty of Arts and Social Sciences, the degree granted will be a BA.
Students enrolled in a Double Major program are advised to review their proposed program of study with advisors in both subject areas.
Departmental requirements
In addition to fulfilling the requirements outlined in the Academic Regulations and College of Arts and Science Degree Requirements sections, students in a BSc or BA Double Major program in Mathematics and another subject must complete the following:
Mathematics as the primary subject
Student completing a double major with Mathematics as the primary subject can fulfill the Mathematics requirements by following one of two programs below.
Pure Mathematics
1000 level
2000 level
- MATH 2001.03: Intermediate Calculus I and MATH 2002.03: Intermediate Calculus II
- MATH 2040.03: Matrix Theory and Linear Algebra II (or MATH 2135.03: Linear Algebra)
- At least two of MATH 2110.03: Logic and set theory (or MATH 2112.03: Discrete Structures I), MATH 2051.03: Problems in Geometry, MATH 2505.03: Introductory Analysis
3000 level
- 18 additional MATH credit hours at or above the 3000 level. This selection may not include MATH 3700.03: Mathematics for Economists, MATH 3800.03: Financial Economics.
Programming requirement
- Students must complete a 3-credit course that incorporates computer programming. Suggested course is one of CSCI 2202.03, MATH 2300.03/STAT 2300.03, PHYC 2050.03/MATH 2052.03, or permission of advisor.
Applied Mathematics
1000 level
2000 level
- MATH 2001.03: Intermediate Calculus I
- MATH 2040.03: Matrix Theory and Linear Algebra II (or MATH 2135.03: Linear Algebra)
- MATH 2120.03: Methods for Ordinary Differential Equations and MATH 2002.03: Intermediate Calculus II
- MATH 2060.03: Introduction to Probability and Statistics or MATH 2080.03: Statistical Methods for Data Analysis and Inference
3000 and 4000 level
- MATH 3120.03 or MATH 3260.03
- At least 15 credit hours selected from : MATH 3045.03, MATH 3080.03, MATH 3210.03, MATH 3300.03, MATH 3330.03, MATH 3340.03, MATH 3360.03, MATH 3400.03, MATH 3900.03, MATH 4190.03, MATH 4220.03, MATH 4230.03, MATH 4250.03, MATH 4320.03, MATH 4370.03, MATH 4540.03.
Programming requirement
- Students must complete a 3-credit course that incorporates computer programming. Suggested course is one of CSCI 2202.03, MATH 2300.03/STAT 2300.03, PHYC 2050.03/MATH 2052.03, or permission of advisor.
Mathematics as the secondary subject
A student enrolled in a Double Major with Mathematics as the secondary subject also fulfills the Mathematics requirements by following one of the programs listed above for a Double Major with Mathematics as the primary subject.
Note: Students will not receive credit for taking MATH 1115.03 after receiving credit for MATH 1000.03, MATH 1500X, or MATH 1215.03.
Minor
Minor in Mathematics
This minor is available to students registered in a 120 credit hour Bachelor of Applied Computer Science, Bachelor of Arts, Bachelor of Commerce, Bachelor of Community Design, Bachelor of Computer Science, Bachelor of Informatics, Bachelor of Management, Bachelor of Music, Bachelor of Science or Bachelor of Science (Medical Sciences) program.
BA or BSc (90 credit hour) degree program with a Minor in Mathematics is also available.
Requirements
* A minimum of 18 credit hours in MATH courses at the 2000 level or higher to a maximum of 36 credit hours.
* It is recommended that students take MATH 1010 and MATH 1030. These are prerequisites for many other upper-level MATH courses.
Contact Mathematics and Statistics for more information.
BSc (90 credit hour) Minor in Mathematics
The 90 credit hour Minor in Mathematics is appropriate for students who want to study some Mathematics but do not wish to complete the conventional four-year program. The degree is best suited for students who want a general science degree with some specialization in Mathematics. A 90 credit hour degree program is not suitable for students who wish to pursue graduate studies. With additional study, the degree may be upgraded to a 120 credit hour Major or Honours degree at a later date.
A 90 credit hour BSc in Mathematics is usually the preferred option for students who wish to combine studies in Mathematics with a degree in Engineering (see BSc/BEng Concurrent Program).
See the Minor in Mathematics section of this Calendar.
Co-op, Minors, Certificates
Co-op, Minors, Certificates and Engineering Concurrent Programs for Students
Minors available to students in Mathematics
Minor programs allow students to develop subject specialties in addition to their Major or Honours subjects. Minors in other subjects are normally added to 120 credit hour BSc or BA programs (including Science Co-op).
Students in a BSc (120 credit hour) program in Mathematics may choose to include a Minor selected from the list of approved Minors. Courses counted toward a Major or Honours subject cannot be used to fulfill the requirements of a Minor program.
Certificates
In combination with a BSc in Mathematics, students may obtain one or more Certificates. A Certificate indicates that a student has achieved a certain level of proficiency in a given area or subspecialty. Courses counted toward a Major, Honours or Minor subject may also be used to fulfill the requirements of a Certificate. Students must apply to the Certificate Coordinator to be considered for a Certificate. Certificates are awarded upon graduation and are noted on the student’s academic transcript.
A complete list of Faculty of Science Certificates and requirements can be found at the beginning of the Faculty of Science section. Students may also work toward obtaining Certificates offered by other Faculties; some of these are listed in the College of Arts and Science Degree Requirements section of the calendar.
Certificates of particular interest to students enrolled in a BSc in Mathematics include:
- Certificate in Actuarial and Financial Mathematics
- Certificate in Applied and Computational Mathematics
BSc/BEng Concurrent Program
BEng/BSc (90 credit hour) concurrent degree (Mathematics)
This degree combines an engineering degree with a deeper knowledge of mathematics, and provides a strong foundation for students interested in areas such as robotics, telecommunications, systems analysis and modelling. Following is the recommended sequence of courses for students wishing to obtain a concurrent BEng and BSc (90 credit hour) degree with Minor in Mathematics. Interested students must consult with the Assistant Dean, Faculty of Science, and the Associate Dean, Faculty of Engineering prior to enrolling in a concurrent BEng/BSc degree.
It is recommended that students also discuss their selection of courses with an undergraduate advisor in the Department of Mathematics and Statistics. A concurrent BEng/BSc Honours Mathematics program can be designed for interested candidates.
a To meet the BSc 90 credit hour Minor in Mathematics requirements, students complete 30 credit hours in addition to their Engineering requirements: 12 credit hours of MATH courses at or above the 2000 level, as specified above, 6 MATH credit hours at or above the 3000 level, 6 credit hours of social science/humanities courses, and 6 credit hours in Science/FASS courses (which may be MATH)
b Writing requirement: choose from eligible writing courses in CLAS, ENGL, GERM, HIST, PERF, PHIL, RELS, or RUSN to fulfill writing and humanities requirements [College of Arts and Science]
c Choose from CANA, CTMP, ECON, EMSP, EURO, GWST, HIST, HSTC, INTD, POLI, PSYO, SOSA, SUST for social science courses. Choose from ARBC, CANA, CHIN, CLAS, CTMP, CRWR, EMSP, EURO, SWST, GERM, HIST, HTSC, ITAL, PERF, PHIL, RELS, RUSN, SPAN and THEA for humanities courses
d See Engineering section of the calendar for details
e Upper level courses that may be of particular interest to Engineering students include MATH 4220, MATH 4230 and MATH 4165
Notes:
Courses
Courses
Below you will find descriptions for courses offered in this field of study. You will find a general overview of the topics covered and any prerequisite course or grade requirements, credit value and exclusions.
The first digit of the course indicates the general level. Those in the 1000 series are introductory degree level. Courses at the 2000, 3000, 4000 series are available to students in the second, third, fourth year. Courses numbered at the 5000 level or above are graduate level. Courses listed at the 0100 or 0200 series are technology level courses. Courses below the 0100 level are generally non credit courses.
Some courses are listed as exclusionary to one another. This means that students may not take both courses so designated.
Not all courses are offered each year. Please consult the current timetable for this year’s offering. For further information please contact the department.
Course Notes
Course descriptions for Statistics can be found in the calendar under Statistics.
Credit may not be obtained twice for the same course even if the numbers have been changed.
Courses with the designation (MLC) are supported by the tutorial services of the Math Learning Centre.
The following three courses below the 1000 level are offered by the College of Continuing Education. Students register and pay for them at the College of continuing Education located at 1220 LeMarchant Street, 2nd Floor or by calling (902) 494-2375 (see College of Continuing Education for more details).