MTH 114 Text & Exercises

## Text

Calculus Concepts: An Informal Approach to the Mathematics of Change, 3e

The web site includes appendices, data files, and downloadable programs for the TI-83, 86, and 89.

## Exercises

 Section Exercises 1.1 Models, Functions, and Graphs 13,17-22,24 1.2 Constructed Functions 2,4,6,7,9,10,21,23,25-28 1.3 Functions, Limits, & Continuity 7-10, 13,14,17,18,23-25,28 1.4 Linear Functions & Models 1,4,7,12,15,16,19,20,24,27,28 2.1 Exponential Functions & Models 1-8,11,15,19,20,22 2.2 Logarithmic Functions & Models 1-4, 7,9,10,13,17 2.3 Logistic Functions and Models 1-10,12,15,19,22,23,26 2.4 Polynomial Functions and Models 1-6,8,10,13,17,26,28 2.5 Choosing a Function to Fit Data 1-6,10,11,12,13,15 3.1 Change, % Change, and Avg. Rates of Change 1-9,12,13,14,17,18,23, 28 3.2 Instantaneous Rates of Change 3, 7-12, 15-22, 28, 30, 32 3.3 Derivatives 2,5,10, 11,13,18,22 3.4 Numerically Finding Slopes 2, 6,13,17 4.1 Drawing Rate-of-Change Graphs 1-10, 17,21 4.2 Simple Rate-of-Change Formulas 1-6, 7, 8, 11,13,14,15,21,22,25,26,27 4.3 More Simple Rate-of-Change Formulas 1-6, 7-14, 18,21,23 4.4 The Chain Rule 5,6,41,43,46 4.5 The Product Rule 4,11,12,27,28,31,32 5.1 Approximating Change 3,4,5,12,15-21 5.2 Relative & Absolute Extreme Points 3-8,13,15,20,23,24,27,29 5.3 Inflection Points 1-6,9,10,13,14,20-22 5.4 Derivatives in Action 3,7,8,12,13 6.1 Results of Change & Area Approximations 8,14,22,24