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:

Prerequisite: One of MAT 1339 , Ontario 4U Calculus and Vectors (MCV4U) or an equivalent. The courses MAT 1300 , MAT 1308 , MAT 1320 , MAT 1321 , MAT 1327 , MAT 1329 , MAT 1330 cannot be combined for units.

Previously Offered Terms:

Fall
Winter
Summer

French Equivalent:

Organized

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Clear Expectations

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Learned a Lot

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Recommend

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Workload

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very heavy
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heavier than average
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average
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Fair Assessments

2892 responses

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question not applicable
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