Course Outline

Mathematics 1071Q Calculus for Business and Economics
Text: Calculus Applications and Technology, Third Edition, By Edmond Tomastik

Summer Session II 2009

Caveat: This is a very rough outline and is subject to change.
Chapter 1 — Functions
SectionTopicSuggested Exercises
1.1Functions18/ 1,3,5,7,11-31 odd, 35,37,43-55 odd, 65,77,96,98
A6Lines636/ 2,4,10,12,26,31,36,42
A7Quadratic Functions650/ 2,6,19,23
1.2Mathematical Models41/ 1,3,5,7,13,17,19,31,33,35,37,39,40
1.3Exponential Models67/ 1,3,5,9-39 odd, 43,45,47,55,57,59,61,65
1.4Combinations of Functions75/ 1,3,9,15,17,19,21,23,25,31
1.5Logarithms89/ 1-43 odd, 49,53,55,57
Chapter 3 — Limits and the Derivative
SectionTopicSuggested Exercises
3.1Limits157/ 1-6,9,11,13,15,17,21,23,27,29,31,33,35,39,43,47,49
3.2Rates of Change179/ 1,3,9,11,13,19,23,27,33,35,39
3.3The Derivative198/ 3,5,9,13(3,5),17,19,21,23,27-32,36,37,39,43
3.4Local Linearity211/ 1,3,5,7,9,11,25,27,29
Chapter 4 — Rules for the Derivative
SectionTopicSuggested Exercises
4.1Derivatives of Powers, Exponents, Sums239/ 1,3,5,9,11,15,21,23,27,35,37,39,43,45,55,61,63,65,67,71,73,75
4.2Derivatives of Products and Quotients251/ 3,5,9,11,17,21,23,25,27,33,35
4.3Chain Rule262/ 1,3,9,11,13,19,27,29,33
4.4Exponential and Logarithmic Functions271/ 1,3,5,7,9,15,17,21,31,33,35,39,43,47,53,55,57,61
4.5Elasticity of Demand283/ 1,7,11,13,15,17,21
Chapter 5 — Curve Sketching and Optimization
SectionTopicSuggested Exercises
5.1First Derivative307/ 9,11,15,21,23,25,29,35,51
5.2Second Derivative323/ 1,3,7,9,13-31 odd, 41,45,49,51,78,80,81
5.3Limits at Infinity339/ 1,3,5,9,11,17
5.4Curve Sketching347/1,3,11,13,17,29,35
5.5Absolute Extrema356/ 1-17 odd, 29
5.6Optimization and Modeling367/ 1,3,5,7,9,13,15
5.8Implicit Differentiation and Related Rates385/ 1,3,5,9,13,15,17,21,23,37,39,43
Chapter 6 — Integration
SectionTopicSuggested Exercises
6.1Antiderivatives406/ 1,3,5,7,11,15,21,25,29,31,35,39,43,45
6.2Substitution414/ 1,3,5,9,11,13,21,25,27,37,39
6.3Estimating Distance Travelled429/ 3,4,5,9,17,19,21
6.4Definite Integral444/ 13,15,17,23,25,27,29,37,43,47
6.5Fundamental Theorem of Calculus457/ 1,3,5,9,13,15,17,19,21,23,35,37,39,41,64
7.2Integration Using Tables498/ 1,5,9,11,15,19,21,23
6.6Area Between Curves469/ 1,5,9,11,15,19,23,25,31,33,35,41,55,59,61
6.7Additional Applications of Integrals481/ 1,5,7,9,13,15,17,21,23,25
Chapter 7 — Additional Topics in Integration
SectionTopicSuggested Exercises
7.4Improper Integrals517/ 1,3,7,10,13,31,33,37