 
Calculus (S)

Note: In order to find a course in the new 4 digit numbering system using an old 3 digit number, please refer to the conversion list below. Before registering for courses with the new 4 digit numbering system, please ensure that you have not previously taken the course in its 3 digit form.
Click here for conversion list of former 3digit course numbers.



Calculus
1000A/B 
Calculus I

Review of limits and derivatives of exponential, logarithmic and rational functions. Trigonometric functions and their inverses. The derivatives of the trig functions and their inverses. L'Hospital's rules. The definite integral. Fundamental theorem of Calculus. Simple substitution. Applications including areas of regions and volumes of solids of revolution.
Prerequisite(s):
One or more of Ontario Secondary School MCV4U, Mathematics 0110A/B, or the
former Ontario Secondary School MCB4U.
Corequisite(s):
Preor Corequisite(s):
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Calculus
1100A/B 
Calculus I with Fundamentals

Differential Calculus including limits, continuity, differentiation rules, implicit differentiation, related rates, maxima and minima, differentiation of exponentials and logs, and curve sketching. Derivatives of trig functions and their inverses. L'Hospital's rule. The definite integral. Fundamental theorem of Calculus. Simple substitution. Area of regions and volumes of solids of revolution.
Prerequisite(s):
One or more of Ontario Secondary School MHF4U, MCV4U, Mathematics 0110A/B, or the former Ontario Secondary School MCB4U.
Corequisite(s):
Preor Corequisite(s):
Extra Information:

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Calculus
1201A/B 
Mathematical Applications for Biological Sciences

Applications of integration, integration using mathematical software packages. Scaling and allometry. Basic probability theory. Fundamentals of linear algebra: vectors, matrices, matrix algebra. Difference and differential equations. Each topic will be illustrated by examples and applications from the biological sciences, such as population growth, predatorprey dynamics, agestructured populations.
Antirequisite(s):
The former Mathematics 030.
Corequisite(s):
Preor Corequisite(s):
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Calculus
1301A/B 
Calculus II

For students requiring the equivalent of a full course in calculus at a less rigorous level than Calculus 1501A/B. Integration by parts, partial fractions, integral tables, geometric series, harmonic series, Taylor series with applications, arc length of parametric and polar curves, first order linear and separable differential equations with applications.
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Calculus
1501A/B 
Calculus II for Mathematical and Physical Sciences

Students who intend to pursue a degree in Actuarial Science, Applied Mathematics, Astronomy, Mathematics, Physics, or Statistics should take this course. Techniques of integration; The Mean Value Theorem and its consequences; series, Taylor series with applications; parametric and polar curves with applications; first order linear and separable differential equations with applications.
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Calculus
2302A/B 
Intermediate Calculus I

Three dimensional analytic geometry: dot and cross product; equations for lines and planes; quadric surfaces; vector functions and space curves; arc length; curvature; velocity; acceleration. Differential calculus of functions of several variables: level curves and surfaces; limits; continuity; partial derivatives; tangent planes; differentials; chain rule; implicit functions; extrema; Lagrange multipliers.
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Calculus
2303A/B 
Intermediate Calculus II

Integral calculus of functions of several variables: double, triple and iterated integrals; applications; surface area. Vector integral calculus: vector fields; line integrals in the plane; Green's theorem; independence of path; simply connected and multiply connected domains; parametric surfaces and their areas; divergence and Stokes' theorem.
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Calculus
2402A/B 
Calculus with Analysis for Statistics

Functions of multiple variables and their differential calculus. The gradient and the Hessian. Constrained and unconstrained optimization of scalarvalued functions of many variables: Lagrange multipliers. Multidimensional Taylor series. Integrating scalarvalued functions of several variables: Jacobian transformations. Pointwise and uniform convergence. Power series.
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Calculus
2502A/B 
Advanced Calculus I

Differential calculus of functions of several variables: level curves and surfaces; limits; continuity; partial derivatives; total differentials; Jacobian matrix; chain rule; implicit functions; inverse functions; curvilinear coordinates; derivatives; the Laplacian; Taylor Series; extrema; Lagrange multipliers; vector and scalar fields; divergence and curl.
Corequisite(s):
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Calculus
2503A/B 
Advanced Calculus II

Integral calculus of functions of several variables: multiple integrals; Leibnitz' rule; arc length; surface area; Green's theorem; independence of path; simply connected and multiply connected domains; three dimensional theory and applications; divergence theorem; Stokes' theorem.
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