MAT 1320 Calculus I
3 units
Mathematics
Faculty of Science
Intuitive definition of limits; continuity, statement of intermediate value theorem. Quick review of basic derivative formulas: products, chain rule, exponentials, and trigonometric functions. Derivatives of quotients, logarithms, inverse trigonometric functions. Finite difference approximations of derivatives. Analysis of functions via the first and the second derivatives; statements of extreme and mean value theorems. L'Hospital's rule. Implicit differentiation, related rates, optimization, linear approximation, Newton s method. The definite integral and the fundamental theorem of calculus. Antiderivatives of elementary functions, techniques of integration (integration by parts, substitutions, partial fractions). Numerical integration: mid-point, trapezoidal rule and Simpson's rule; error analysis.
Components:
Discussion Group
Lecture
Requirements:
Previously Offered Terms:
Fall
Winter
Summer
French Equivalent:
Organized
3391 responses
4.27
/ 5
Clear Expectations
1641 responses
4.38
/ 5
Learned a Lot
3388 responses
4.09
/ 5
Recommend
1754 responses
3.86
/ 5
Workload
1754 responses
2.63
/ 5
Fair Assessments
3392 responses