
Print
4.9.3 Mathematics Course Descriptions1000 Level
Course Code 
MATH 1010 
Credits 
3 


Title 
Applied Finite Mathematics 
Description 
(Lab Required) For students needing to fill the requirement of a university level mathematics course. Introduces students to modern applications of discrete mathematics. Topics include: mathematics of finance, linear programming, graph theory, and game theory. This is a terminal course and may not be used as a prerequisite for other Mathematics courses. This course cannot be used as part of an Honours, Major, General or Minor program in the mathematical sciences. Not available to any student already holding a grade of “C” or better in any Mathematics course with the exception of MATH 1020, FA 1020, the former MATH 1190 or MATH 1191. Not to be taken concurrently with any other Mathematics course with the exception of MATH 1020, FA 1020 or MATH 1191. No prerequisite. 
Course Code 
MATH 1020 
Credits 
3 


Title 
Mathematics in Art 
Description 
Specific theory, structuring systems, and mathematical methods and principles used in works of art from various historical periods and contexts will be explored in relation to Euclidean and nonEuclidean geometries. Topics include: linear perspective; shapes, patterns, balance and symmetry; ratio, proportion and harmony; and order, dynamics, and chaos. The course will be one half art and one half mathematics, teamtaught by faculty from the School of Art and the Department of Mathematics. This course is also given in the School of Art as FA 1020. This is a terminal course and may not be used as a prerequisite for other Mathematics courses. This course cannot be used as part of an Honours, Major, General or Minor program in the mathematical sciences. Not available to any student already holding a grade of “C” or better in any Mathematics course with the exception of MATH 1010, the former MATH 1190, or MATH 1191. Not to be taken concurrently with any other Mathematics course with the exception of MATH 1010 or MATH 1191. No prerequisite. 
Course Code 
MATH 1080 
Credits 
3 


Title 
Fundamentals of Mathematical Reasoning 
Description 
(Lab required) Logic, reasoning, problem solving, introduction to set theory, mathematical induction, introduction to number theory, bases of arithmetic and the standard algorithms, working with fractions and functions. The course is recommended for students intending to become early or middle years school teachers. This course cannot be used as part of an Honours, Major, General or Minor program in the mathematical sciences. Prerequisite: PreCalculus Mathematics 40S or the former Mathematics 40S (300) or a minimum grade of 65% in Applied Mathematics 40S or a grade of "C" or better in MSKL 0100 offered by Extended Education. 
Course Code 
MATH 1090 
Credits 
3 


Title 
Mathematical Reasoning in Euclidean Geometry 
Description 
(Lab required) Introduction to Euclidean geometry with emphasis on mathematical reasoning. Perimeter, area, volume, triangle congruence, parallel lines and quadrilaterals, similarity, circles, coordinate geometry or transformation geometry. The course is recommended for students intending to become early or middle years school teachers. This course cannot be used as part of an Honours, Major, General or Minor program in the mathematical sciences. Prerequisite: MATH 1080. 
Course Code 
MATH 1200 
Credits 
3 


Title 
Elements of Discrete Mathematics 
Description 
(Lab Required) Sequences and series, trigonometry, complex numbers, algebra of polynomials, approximation of zeros of functions, linear difference equations. Not to be held with MATH 1210, MATH 1211 or MATH 1201. Not available to any student holding credit in any Mathematics course numbered 2000 or higher, unless MATH 1200 is a required course in a student's program. Prerequisite: a minimum grade of 60% in Precalculus 40S or the former Mathematics 40S (300), or a grade of 60% or better in the MSKL 0100 offered by Extended Education. 
Course Code 
MATH 1210 
Credits 
3 


Title 
Techniques of Classical and Linear Algebra 
Description 
(Lab Required) To introduce a variety of practical algebraic concepts and skills necessary for the study of calculus and advanced engineering mathematics. The emphasis of this course is in the development of methodology and algebraic skill necessary for successful completion of subsequent engineering mathematics courses. This course is intended for Engineering and Geophysics students only. May not be held with MATH 1200, MATH 1201, MATH 1211, MATH 1220, MATH 1300, MATH 1301, or MATH 1310. Prerequisites: a minimum grade of 60% in Precalculus Mathematics 40S or the former Mathematics 40S (300), or a grade of "C" or better in the MSKL 0100 offered by Extended Education. 
Course Code 
MATH 1220 
Credits 
3 


Title 
Linear Algebra 1 
Description 
(Lab required) This course is intended for students in mathematically rich disciplines including those planning to enter an Honours or Major program in Mathematics or Statistics. An introduction to vectors, matrices, systems of linear equations and threedimensional geometry. May not be held with MATH 1210, MATH 1211, MATH 1300, MATH 1301, MATH 1310, or the former MATH 1680. Prerequisite: Precalculus Mathematics 40S (70%) or the former Mathematics 40S (300) (70%), or the MSKL 0100 offered Extended Education (B). 
Course Code 
MATH 1230 
Credits 
3 


Title 
Differential Calculus 
Description 
(Lab required) The course is intended for students in mathematically rich disciplines including those planning to enter an Honours or Major program in Mathematics or Statistics. Rigorous treatment of limits, continuity, and differentiation (with epsilondelta proofs), applications in optimization problems, related rates, l'Hopital's rule, curve sketching, Taylor polynomials. Not to be held with MATH 1500, MATH 1501, MATH 1510, MATH 1520, the former MATH 1680, or MATH 1690. Prerequisite: Precalculus Mathematics 40S (70%) or the former Mathematics 40S (300) (70%), or the MSKL 0100 offered by Extended Education (B).

Course Code 
MATH 1232 
Credits 
3 


Title 
Integral Calculus 
Description 
(Lab required) This course is intended for students in mathematically rich disciplines including those planning to enter an Honours or Major program in Mathematics or Statistics. Integral calculus: theory and techniques of integration, curve sketching (parametric and polar), volume, arc length, surface area and partial derivatives. Sequences and series. Not to be held with MATH 1690, MATH 1700, MATH 1701, MATH 1710. Prerequisite: MATH 1230 (C) or MATH 1500 (B) or MATH 1501 (B) or MATH 1510 (B).

Course Code 
MATH 1240 
Credits 
3 


Title 
Elementary Discrete Mathematics 
Description 
(Lab required) The course is intended for students in mathematically rich disciplines including those planning to enter an Honours or Major program in Mathematics or Statistics. An introduction to mathematical ideas, proof, techniques, and mathematical writing, explored through topics in discrete mathematics. May not be held with MATH 1241 or MATH 3120. Prerequisite: Precalculus Mathematics 40S (60%) or the former Mathematics 40S (300) (60%), or a "C" or better in MSKL 0100. 
Course Code 
MATH 1300 
Credits 
3 


Title 
Vector Geometry and Linear Algebra 
Description 
(Lab Required) An introduction to vectors, matrices, systems of linear equations and threedimensional geometry. May not be held for credit with MATH 1210, MATH 1211, MATH 1220, MATH 1310, MATH 1301, or the former MATH 1680. Prerequisite: a minimum grade of 60% in Precalculus Mathematics 40S or the former Mathematics 40S (300), or a grade of "C" or better in the MSKL 0100 offered by Extended Education. NOTE: A minimum grade of 70% in Applied Mathematics 40S may be used as a prerequisite to this course. 
Course Code 
MATH 1310 
Credits 
3 


Title 
Matrices for Management and Social Sciences 
Description 
(Lab Required) Matrix methods with examples relevant to the Management and Social Sciences. Topics include vectors, matrices, systems of linear equations, and determinants; applications include economic models, the simplex method for linear programming, Markov chains, and game theory. May not be held with MATH 1210, MATH 1211, MATH 1220, MATH 1300, MATH 1301, or the former MATH 1680. Prerequisite: a minimum grade of 60 % in Precalculus Mathematics 40S or the former Mathematics 40S (300), or a grade of "C" or better in the MSKL 0100 offered by Extended Education. NOTE: A minimum grade of 70% in Applied Mathematics 40S may be used as a prerequisite to this course. 
Course Code 
MATH 1500 
Credits 
3 


Title 
Introduction to Calculus 
Description 
(Lab Required) Differentiation and integration of elementary functions, with applications to maxima and minima, rates of change, area, and volume. May not to be held with MATH 1230, MATH 1501, MATH 1510, MATH 1520, the former MATH 1680, or MATH 1690. Prerequisite: a minimum grade of 60% in Precalculus Mathematics 40S or the former Mathematics 40S (300), or a grade of "C" or better in the MSKL 0100 offered by Extended Education. 
Course Code 
MATH 1510 
Credits 
3 


Title 
Applied Calculus 1 
Description 
(Lab Required) Functions and graphs; limits and continuity; differentiation of functions defined explicitly, implicitly and parametrically; applications of derivatives to velocity and acceleration, related rates, maxima and minima; differentials, indefinite and definite integrals, application of integration to area. Physical applications in this course make it especially suitable for students intending to take programs in engineering. May not be held with MATH 1230, MATH 1500, MATH 1501, MATH 1520, the former MATH 1530, the former MATH 1680, or MATH 1690. Prerequisites: (a grade of 60% in one of Precalculus Mathematics 40S, or the former Mathematics 40S (300), or a grade of "C" or better in the MSKL 0100 offered by Extended Education) and (one of Physics 40S (300), PHYS 0900 (P), or PSKL 0100 (P) offered by Extended Education). 
Course Code 
MATH 1520 
Credits 
3 


Title 
Introductory Calculus for Management and Social Sciences 
Description 
(Lab Required) Differentiation and integration of functions of one variable and partial differentiation of functions of several variables. Emphasizes applications in the areas of management and social science. May not be held with MATH 1230, MATH 1500, MATH 1501, MATH 1510, the former MATH 1680, or MATH 1690. Prerequisite: a minimum grade of 60% in Precalculus Mathematics 40S or the former Mathematics 40S (300), or a minimum grade of "C" in the MSKL 0100 offered by Extended Education. 
Course Code 
MATH 1690 
Credits 
6 


Title 
Calculus 
Description 
(Lab Required) An introduction to the calculus of functions of one variable. This course covers the same material as MATH 1500 and MATH 1700 together, but in greater depth. Exposure to high school calculus (45S) is desirable, but not essential. This course is intended for students planning to enter an Honours or 4 year Major program in Mathematics. May not be held with MATH 1230, MATH 1232, MATH 1500, MATH 1501, MATH 1510, MATH 1520, the former MATH 1680, MATH 1700, MATH 1701, MATH 1710. Prerequisite: a minimum grade of 80 % in Precalculus Mathematics 40S or the former Mathematics 40S (300). 
Course Code 
MATH 1700 
Credits 
3 


Title 
Calculus 2 
Description 
(Lab Required) Theory and techniques of integration, curve sketching, volume, arc length, surface area and partial derivatives. May not be held with MATH 1232, MATH 1690, MATH 1701, MATH 1710. Prerequisite: A grade of “C” or better in one of MATH 1230, MATH 1500, MATH 1501, MATH 1510, MATH 1520, or the former MATH 1680. 
Course Code 
MATH 1710 
Credits 
3 


Title 
Applied Calculus 2 
Description 
(Lab Required) Applications of integration to volumes, centres of mass, moments of inertia, work and fluid pressure; differentiation of trigonometric, inverse trigonometric, exponential, and logarithmic functions; techniques of integration; polar coordinates. Physical applications in this course make it especially suitable for students intending to take programs in engineering. May not be held with MATH 1232, MATH 1690, MATH 1700, MATH 1701. Prerequisite: A grade of “C” or better in one of MATH 1230, MATH 1500, MATH 1501, MATH 1510, MATH 1520, or the former MATH 1680. Prerequisite or concurrent Requirement: PHYS 1050 or PHYS 1051. 
