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Book Categories |
1 | Getting started | 1 |
2 | Defining functions | 11 |
3 | Making tables of function values | 14 |
4 | Graphing functions | 17 |
5 | Calculating from a graph | 25 |
6 | Solving equations | 29 |
7 | The limit concept | 33 |
8 | Finding the derivative at a point | 37 |
9 | The derivative as a function | 40 |
10 | The second derivative | 43 |
11 | The rules of differentiation | 46 |
12 | Optimization | 50 |
13 | Left- and right-hand sums | 55 |
14 | The definite integral | 58 |
15 | The fundamental theorem of calculus | 62 |
16 | Riemann sums | 66 |
17 | Improper integrals | 69 |
18 | Applications of the integral | 73 |
19 | Geometric and converging series | 81 |
20 | Taylor series | 87 |
21 | Fourier series | 90 |
22 | Differential equations and slope fields | 93 |
23 | Euler's method | 98 |
24 | The logistic population model | 101 |
25 | Systems of equations and the phase plane | 105 |
26 | Second-order differential equations | 110 |
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