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 |