# 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 Section Topic Suggested Exercises 1.1 Functions 18/ 1,3,5,7,11-31 odd, 35,37,43-55 odd, 65,77,96,98 A6 Lines 636/ 2,4,10,12,26,31,36,42 A7 Quadratic Functions 650/ 2,6,19,23 1.2 Mathematical Models 41/ 1,3,5,7,13,17,19,31,33,35,37,39,40 1.3 Exponential Models 67/ 1,3,5,9-39 odd, 43,45,47,55,57,59,61,65 1.4 Combinations of Functions 75/ 1,3,9,15,17,19,21,23,25,31 1.5 Logarithms 89/ 1-43 odd, 49,53,55,57 Chapter 3 — Limits and the Derivative Section Topic Suggested Exercises 3.1 Limits 157/ 1-6,9,11,13,15,17,21,23,27,29,31,33,35,39,43,47,49 3.2 Rates of Change 179/ 1,3,9,11,13,19,23,27,33,35,39 3.3 The Derivative 198/ 3,5,9,13(3,5),17,19,21,23,27-32,36,37,39,43 3.4 Local Linearity 211/ 1,3,5,7,9,11,25,27,29 Chapter 4 — Rules for the Derivative Section Topic Suggested Exercises 4.1 Derivatives of Powers, Exponents, Sums 239/ 1,3,5,9,11,15,21,23,27,35,37,39,43,45,55,61,63,65,67,71,73,75 4.2 Derivatives of Products and Quotients 251/ 3,5,9,11,17,21,23,25,27,33,35 4.3 Chain Rule 262/ 1,3,9,11,13,19,27,29,33 4.4 Exponential and Logarithmic Functions 271/ 1,3,5,7,9,15,17,21,31,33,35,39,43,47,53,55,57,61 4.5 Elasticity of Demand 283/ 1,7,11,13,15,17,21 Chapter 5 — Curve Sketching and Optimization Section Topic Suggested Exercises 5.1 First Derivative 307/ 9,11,15,21,23,25,29,35,51 5.2 Second Derivative 323/ 1,3,7,9,13-31 odd, 41,45,49,51,78,80,81 5.3 Limits at Infinity 339/ 1,3,5,9,11,17 5.4 Curve Sketching 347/1,3,11,13,17,29,35 5.5 Absolute Extrema 356/ 1-17 odd, 29 5.6 Optimization and Modeling 367/ 1,3,5,7,9,13,15 5.8 Implicit Differentiation and Related Rates 385/ 1,3,5,9,13,15,17,21,23,37,39,43 Chapter 6 — Integration Section Topic Suggested Exercises 6.1 Antiderivatives 406/ 1,3,5,7,11,15,21,25,29,31,35,39,43,45 6.2 Substitution 414/ 1,3,5,9,11,13,21,25,27,37,39 6.3 Estimating Distance Travelled 429/ 3,4,5,9,17,19,21 6.4 Definite Integral 444/ 13,15,17,23,25,27,29,37,43,47 6.5 Fundamental Theorem of Calculus 457/ 1,3,5,9,13,15,17,19,21,23,35,37,39,41,64 7.2 Integration Using Tables 498/ 1,5,9,11,15,19,21,23 6.6 Area Between Curves 469/ 1,5,9,11,15,19,23,25,31,33,35,41,55,59,61 6.7 Additional Applications of Integrals 481/ 1,5,7,9,13,15,17,21,23,25 Chapter 7 — Additional Topics in Integration Section Topic Suggested Exercises 7.4 Improper Integrals 517/ 1,3,7,10,13,31,33,37