General Information:
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- Lectures: MW 7:00 pm – 8:15 pm in Classroom Building 125
- Instructor: Paul Arnaud Songhafouo Tsopméné, Office: CW 307.28, Phone: 306-585-4424, Email: pso748@uregina.ca
- Office Hours: MW 11:30 am – 12:30 pm and M 9:30 am – 10:30 am, or by appointment.
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Textbook: Applied Calculus: For Business, Economics, and the Social and Life Sciences, by Hoffman, Bradley, Sobecki, and Price; 11th Edition, McGraw-Hill.
Course Description: Topics include Differentiation of algebraic, exponential, and logarithmic functions, Optimization, Curve sketching, and Integration by substitution.
Objectives: The purpose of this course is to introduce non-science students to the methods and applications of calculus. As a result of this course, you will be able to apply several computational techniques to solve exercises involving limits, derivatives and integrals as well as to solve practical problems.
Content: Topics include
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- Functions, Graphs, and Limits: Functions, The Graph of a Function, Lines and Linear Functions, Limits, One-Sided Limits and Continuity.
- Differentiation: Basic Concepts: The Derivative, Techniques of Differentiation, Product and Quotient Rules; Higher-Order Derivatives, The Chain Rule, Implicit Differentiation and Related Rates.
- Additional Applications of the Derivative: Increasing and Decreasing Functions; Relative Extrema, Concavity and Points of Inflection, Curve Sketching, Optimization.
- Exponential and Logarithmic Functions: Exponential Functions, Logarithmic Functions, Differentiation of Exponential and Logarithmic Functions.
- Integration: Indefinite Integration, Integration by Substitution, The Definite Integral and the Fundamental Theorem of Calculus, Area Between Two 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.