[How to read the course descriptions]

*
Undergraduate Officer
*

MC 5115, ext. 3905

**
Courses not offered in the current academic year are listed at the end of this section
**

**Note:**
*
(See also Actuarial Science, Applied Mathematics, Combinatorics and Optimization, Computer Science, Mathematics Electives, Pure Mathematics, Statistics.)
*

**MATH 010 F,W,S 0.0**

**Non-Credit Year One Testing Slot
**

All students enrolled in one or more of MATH 135, 136, 137,
138, 145, 146, 147, 148, and CS 130, 134 are automatically enrolled in a
non-credit lab that is scheduled one evening each week from 7:00 to 9:00
p.m. This time slot appears as a MATH 010 entry on student timetables and
is reserved for mid-term tests in the above courses. This time slot is used
only on those evenings when mid-term tests are scheduled.

**MATH 020 F,W,S 0.0**

**Non-Credit Year Two Testing Slot
**

All students enrolled in any second-year mathematics course
offered by the Faculty of Mathematics, with the exception of various
service courses designed for students in other faculties, are automatically
enrolled in a non-credit lab that is scheduled from 4:30 to 6:30 p.m.
Tuesday and Thursday each week. This time slot is used only on those days
when mid-term tests are scheduled.

**MATH 103 F 3C,1T 0.5**

**Introductory Algebra For Arts and Social Science
**

An introduction to applications of algebra to business, the
behavioural sciences, and the social sciences. Topics will be chosen from
set theory, permutations and combinations, binomial theorem, probability
theory, systems of linear equations, vectors and matrices, mathematical
induction.

*Prereq: Grade 12 Mathematics or equivalent
Not open to students in the Faculties of Engineering, Mathematics or
Science, or to other students who have credit in any one of OAC Algebra,
OAC Finite Mathematics, or the equivalent.
*

**MATH 104 W 3C,1T 0.5**

**Introductory Calculus For Arts and Social Science
**

An introduction to applications of calculus in business, the
behavioural sciences, and the social sciences. The models studied will
involve polynomial, rational, exponential and logarithmic functions. The
major concepts introduced to solve problems are: rate of change;
optimization; growth and decay; and integration.

*Prereq: Grade 12 Mathematics or equivalent
Not open to students in the Faculties of Engineering, Mathematics or
Science, or to other students who have credit in OAC Calculus or the
equivalent.
*

**MATH 107 F,W,S 3C,2T 0.5**

**Calculus 1
**

Review of functions, limits and differentiation, including
trigonometric, exponential and logarithm functions. Interpretation and
applications of the derivative. Riemann sums and the integral.
Antiderivatives and the Fundamental Theorem of Calculus. Applications of
the integral. Transforming and evaluating integrals. Improper integrals.

*Prereq: OAC Calculus
Antireq: MATH 117, 127, 137, 147
Not open to Honours Mathematics students.
*

**MATH 108 F,W,S 3C,2T 0.5**

**Calculus 2
**

Separable and linear differential equations. Convergence of series.
Taylor polynomials and Taylor series. Parametric representation of curves.
Functions of two variables. Partial derivatives and the linear
approximation. Directional derivatives. The Chain Rule. Maxima and
minima.

*Prereq: MATH 107 or equivalent
Antireq: MATH 118, 128, 138, 148
Not open to Honours Mathematics students.
*

**MATH 109 F 3C,2T 0.5**

**Mathematics For Accounting
**

Review and extension of differential calculus for functions of one
variable. Multivariable differential calculus. Partial derivatives, the chain
rule, maxima and minima and Lagrange multipliers. Mathematics of
finance. Simple and compound interest, present value, annuities and
continuous compounding.

*Prereq: OAC Calculus, or MATH 104
Antireq: All Calculus courses labelled MATH 1x7, 1x8
Open only to Arts students in the School of Accountancy.
*

**MATH 115 F 3C,2T 0.5**

**Linear Algebra for Engineering
**

Linear equations, matrices and determinants. Introduction to
vector spaces. Eigenvalues and diagonalization. Introduction to linear
programming. Complex numbers.

*Prereq: OAC Algebra or equivalent
Antireq: MATH 125, 136, 146
(Formerly MATH 114)
Not open to students registered in the Faculty of Mathematics.
*

**MATH 117 F 3C,2L 0.5**

**Calculus 1 For Engineering
**

Review of functions, limits and differentiation. Riemann sums and
the integral. Antiderivatives and the Fundamental Theorem of Calculus.
Transforming and evaluating integrals. Applications of the integral.
Improper integrals. Parametric representation of curves. Separable and
linear differential equations.

*Prereq: OAC Calculus
Antireq: MATH 107, 127, 137, 147
Not open to students in the Faculty of Mathematics.
*

**MATH 118 W,S 3C,2L 0.5**

**Calculus 2 For Engineering
**

Taylor's theorem and polynomial approximations. Indeterminate
forms and l'Hopitals theorem. Convergence of series. Taylor series.
Functions of two variables. Partial derivatives and the linear
approximation. Directional derivatives. The Chain Rule.

*Prereq: MATH 117 or equivalent
Antireq: MATH 108, 128, 138, 148
Not open to students in the Faculty of Mathematics.
*

**MATH 125 F,W,S 3C,1T 0.5**

**Applied Linear Algebra 1
**

Vectors in 2- and 3-space, and their geometry. Vectors in n-space.
Scalar and vector products. Matrices. Systems of linear equations.
Determinants. Complex numbers. Applications.

*Prereq: One of OAC Algebra, OAC Finite Mathematics,
MATH 103
Antireq: MATH 115, 136, 146
Not open to Honours Mathematics students.
*

**MATH 126 F,W,S 3C 0.5**

**Applied Linear Algebra 2
**

Linear independence and bases. Linear transformations and
matrices. Orthogonal transformations. Eigenvalues and eigenvectors.
Diagonalization. Applications.

*Prereq: MATH 125, or equivalent
Antireq: MATH 235, 245
Not open to Honours Mathematics students.
*

**MATH 127 F 3C,2T 0.5**

**Calculus 1 For Honours Physics and Chemistry
**

Review of functions, limits and differentiation. Interpretation and
applications of the derivative. Riemann sums and the integral.
Antiderivatives and the Fundamental Theorem of Calculus. Applications of
the integral. Transforming and evaluating integrals. Improper integrals.
Separable and linear differential equations.

*Prereq: OAC Calculus
Antireq: MATH 107, 117, 137, 147
Not open to students in the Faculty of Mathematics.
*

**MATH 128 W,S 3C,2T 0.5**

**Calculus 2 For Honours Physics and Chemistry
**

Approximations using Taylor polynomials, estimating errors,
order symbols. Convergence of series. Taylor series. Parametric
representation of curves. Plane polar, cylindrical and spherical polar
coordinates. Functions of two variables. Partial derivatives and the linear
approximation. Directional derivatives. The Chain Rule. Maxima and
minima.

*Prereq: MATH 127, or equivalent
Antireq: MATH 108, 118, 138, 148
Not open to students in the Faculty of Mathematics.
*

**MATH 135 F,W 3C,1T 0.5**

**Algebra For Honours Mathematics
**

A study of the basic algebraic systems of mathematics: the
integers, the integers modulo n, the rational numbers, the real numbers, the
complex numbers and polynomials.

*Prereq: OAC Algebra or equivalent
Antireq: MATH 145
Also offered at St. Jerome's College in the Fall term
*

**MATH 136 F,W,S 3C,1T 0.5**

**Linear Algebra 1 For Honours Mathematics
**

Vector spaces, linear independence and bases. Linear
transformations, matrices and change of basis. Systems of linear equations,
elementary operations and rank of a matrix. Applications.

*Prereq: MATH 135
Antireq: MATH 115, 125, 146
Also offered at St. Jerome's College in the Winter term
*

**MATH 137 F,W,S 3C,2T 0.5**

**Calculus 1 For Honours Mathematics
**

Functions, limits, and continuity. Review of differentiation.
Interpretation and applications of the derivative. The Mean Value
Theorem. Inverse functions. Riemann sums and the integral.
Antiderivatives and the Fundamental Theorem of Calculus.Applications of
the integral. Transforming and evaluating integrals.

*Prereq: OAC Calculus
Antireq: MATH 107, 117, 127, 147
Also offered at St. erome's College in the Fall term
*

**MATH 138 F,W,S 3C,1T 0.5**

**Calculus 2 For Honours Mathematics
**

Separable and linear differential equations. Taylor's theorem and
polynomial approximations. LUHopital's theorem and order symbols.
Limits at infinity and improper integrals. Convergence of series. Functions
defined as power series. Parametric representation of curves, arc length.
Functions of two variables. Partial derivatives and the linear
approximation.

*Prereq: MATH 137
Antireq: MATH 108, 118, 128, 148
Also offered at St. Jerome's College in the Winter term.
*

**MATH 145 F 3C,1T 0.5**

**Algebra (Advanced Level)
**

MATH 145 is an advanced-level version of MATH 135.

*Prereq: OAC Algebra (or equivalent). The students
admitted are selected by the Faculty of Mathematics.
Antireq: MATH 135
*

**MATH 146 W,S 3C,1T 0.5**

**Linear Algebra 1 (Advanced level)
**

MATH 146 is an advanced-level version of MATH 136.

*Prereq: MATH 145 or consent of instructor
Antireq: MATH 115, 125, 136
*

**MATH 147 F 3C,1T 0.5**

**Calculus 1 (Advanced Level)
**

MATH 147 is an advanced-level version of MATH 137.

*Prereq: OAC Calculus (or equivalent). The students
admitted are selected by the Faculty of Mathematics.
Antireq: MATH 107, 117, 127, 137
*

**MATH 148 W,S 3C,1T 0.5**

**Calculus 2 (Advanced Level)
**

MATH 148 is an advanced-level version of MATH 138.

*Prereq: MATH 147 or consent of instructor
Antireq: MATH 108, 118, 128, 138
*

**MATH 211 F,W 3C,1T 0.5**

**Advanced Calculus 1 For Electrical Engineers
**

Fourier series. Ordinary differential equations. Laplace
transform. Applications to linear electrical systems.

*Prereq: MATH 118
Antireq: MATH 218, 228
Cross-listed as E&CE 205
Not open to students in the Faculty of Mathematics.
*

**MATH 212 F,S 3C,1T 0.5**

**Advanced Calculus 2 For Electrical Engineers
**

Vector differential calculus. Multiple Integrals. Line and Surface
Integrals. Complex analysis: analytic functions, complex integrals, residues.
Partial differential equations.

*Prereq: MATH 211
Antireq: AM 231, MATH 217, 227P
Cross-listed as E&CE 206
Not open to students in the Faculty of Mathematics.
*

**MATH 217 F,W 3C 0.5**

**Calculus 3 for Chemical Engineering
**

Optimization problems including the method of Lagrange
multipliers. Double and triple integrals, including transformations and
change of variable. Vector fields, divergence and curl. Vector integral
calculus, including Green's theorem, the divergence theorem and Stokes'
theorem. Applications in engineering are emphasized.

*Prereq: MATH 118
Antireq: AM 231, MATH 212, 227P, 237, 247
(Formerly MATH 210)
Not open to students in the Faculty of Mathematics.
*

**MATH 218 F,W,S 3C 0.5**

**Differential Equations For Engineers
**

First order equations, second order linear equations with constant
coefficients, series solutions, the Laplace transform method, systems of
linear differential equations. Applications in engineering are emphasized.

*Prereq: MATH 118 or SE DE 112
Antireq: AM 250, MATH 228
Cross-listed as SY DE 211
(Formerly MATH 216)
Not open to students in the Faculty of Mathematics.
*

**MATH 227P F 3C,1T 0.5**

**Calculus 3 for Honours Physics
**

Vector fields, divergence and curl. Double and triple integrals.
Transformations and Jacobians. Change of variable in multiple integrals.
Line and surface integrals. Vector integral calculus. Green's theorem,
Stokes' theorem and Gauss' theorem. Conservative vector fields.

*Prereq: MATH 128
Antireq: MATH 212, 217, 237, 247, M 231
Not open to students registered in the Faculty of Mathematics
*

**MATH 228 F,W 3C 0.5**

**Differential Equations For Physics and Chemistry
**

First order equations, second order linear equations with constant
coefficients, series solutions and special functions, the Laplace transform
method. Applications in physics and chemistry are emphasized.

*Prereq: One of MATH 128
Antireq: AM 250, MATH 218
(Formerly MATH 215, 216)
Not open to students in the Faculty of Mathematics.
*

**MATH 235 F,W,S 3C 0.5**

**Linear Algebra 2 For Honours Mathematics
**

Determinants. Eigenvalues, diagonalization and the minimal
polynomial. Inner products, orthonormal bases, orthogonal and unitary
matrices, quadratic forms. Applications.

*Prereq: MATH 136
Antireq: MATH 126, 245
Also offered at St. Jerome's College in the Fall term.
*

**MATH 237 F,W,S 3C 0.5**

**Calculus 3 For Honours Mathematics
**

Calculus of functions of several variables. Limits, continuity,
differentiability, the chain rule. The gradient vector and the directional
derivative. Taylor's formula. Optimization problems. Mappings and the
Jacobian. Multiple integrals.

*Prereq: MATH 138
Coreq: MATH 136
Antireq: MATH 212, 217, 227P, 247
Also offered at St. Jerome's College in the Fall term.
*

**MATH 245 F,W 3C 0.5**

**Linear Algebra 2 (Advanced Level)
**

MATH 245 is an advanced-level version of MATH 235.

*Prereq: MATH 146 or consent of instructor
Antireq: MATH 126, 235
*

**MATH 247 F,W 3C 0.5**

**Calculus 3 (Advanced Level)
**

MATH 247 is an advanced-level version of MATH 237.

*Prereq: MATH 148 or consent of instructor
Coreq: MATH 136 or 146
Antireq: MATH 212, 217, 227P, 237
*

**Courses not offered 1995-96**

MATH 111A Algebra

MATH 227 Calculus 3

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