General Information:
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- Lectures: MWF 12:30 pm – 1:20 pm in Classroom Building 130
- Instructor: Paul Arnaud Songhafouo Tsopmene, Office: CW 307.28, Phone: 306-585-4424, Email: pso748@uregina.ca
- Office Hours: MWF 11:00 am – 12:00 pm (or by appointment)
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Textbook: Calculus, by James Stewart, 8th edition.
Course Description: An introductory class in the theory and techniques of differentiation and integration of algebraic and trigonometric functions. Topics include limits, optimization, curve sketching, and areas.
Content: Topics include
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- Functions and Limits: The tangent and velocity problems, The limit of a function, Calculating limits and the limit laws, Continuity.
- Derivatives: Derivatives and rates of change, The derivative of a function, Differentiation formulas, Derivatives of trigonometric functions, The chain rule, Implicit differentiation, Rates of change in the natural and social sciences, Related rates.
- Applications of differentiation: Maximum and minimum values, The mean value theorem, How derivatives affect the shape of a graph, Limits at infinity; horizontal asymptotes, Summary of curve sketching, Optimization problems.
- Integrals: The definite integral, The fundamental theorem of calculus, Indefinite integrals, The substitution rule, Areas between curves.
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Prerequisite: Precalculus 30 with at least 75%, or Calculus 30, or Mathematics B30
and C30 with a grade of at least 65% in each, or Math 102.
Course Outline/Syllabus: More information about this course can be found in the course outline.