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Thomas' Calculus, 14th Edition Thomas' Calculus, 14th Edition
Chapter 1
Functions
| 1.1 | Functions and Their Graphs | Exercises | p.11 |
| 1.2 | Combining Functions; Shifting and Scaling Graphs | Exercises | p.18 |
| 1.3 | Trigonometric Functions | Exercises | p.27 |
| 1.4 | Graphing with Software | Exercises | p.33 |
| Questions to Guide Your Review | p.33 | ||
| Practice Exercises | p.34 | ||
| Additional and Advanced Exercises | p.35 |
Chapter 2
Limits And Continuity
| 2.1 | Rates of Change and Tangents to Curves | Exercises | p.43 |
| 2.2 | Limit of a Function and Limit Laws | Exercises | p.53 |
| 2.3 | The Precise Definition of a Limit | Exercises | p.61 |
| 2.4 | One-Sided Limits | Exercises | p.70 |
| 2.5 | Continuity | Exercises | p.81 |
| 2.6 | Limits Involving Infinity; Asymptotes of Graphs | Exercises | p.93 |
| Questions to Guide Your Review | p.96 | ||
| Practice Exercises | p.97 | ||
| Additional and Advanced Exercises | p.98 |
Chapter 3
Derivatives
| 3.1 | Tangents and the Derivative at a Point | Exercises | p.104 |
| 3.2 | The Derivative as a Function | Exercises | p.111 |
| 3.3 | Differentiation Rules | Exercises | p.121 |
| 3.4 | The Derivative as a Rate of Change | Exercises | p.130 |
| 3.5 | Derivatives of Trigonometric Functions | Exercises | p.138 |
| 3.6 | The Chain Rule | Exercises | p.145 |
| Exercises | p.151 | ||
| 3.8 | Related Rates | Exercises | p.158 |
| 3.9 | Linearization of Differentials | Exercises | p.171 |
| Questions to Guide Your Review | p.174 | ||
| Practice Exercises | p.174 | ||
| Additional and Advanced Exercises | p.179 |
Chapter 4
Applications Of Derivatives
| 4.1 | Extreme Values of Functions on Closed Intervals | Exercises | p.188 |
| 4.2 | The Mean Value Theorem | Exercises | p.195 |
| 4.3 | Monotonic Functions and the First Derivative Test | Exercises | p.201 |
| 4.4 | Concavity and Curve Sketching | Exercises | p.210 |
| 4.5 | Applied Optimization | Exercises | p.220 |
| 4.6 | Newton's Method | Exercises | p.229 |
| 4.7 | Antiderivatives | Exercises | p.237 |
| Questions to Guide Your Review | p.241 | ||
| Practice Exercises | p.241 | ||
| Additional and Advanced Exercises | p.244 |
Chapter 5
Integrals
| 5.1 | Area and Estimating with Finite Sums | Exercises | p.256 |
| 5.2 | Sigma Notation and Limits of Finite Sums | Exercises | p.264 |
| 5.3 | The Definite Integral | Exercises | p.274 |
| 5.4 | The Fundamental Theorem of Calculus | Exercises | p.287 |
| 5.5 | Indefinite Integrals and the Substitution Method | Exercises | p.295 |
| 5.6 | Definite Integral Substitutions and the Area Between Curves | Exercises | p.303 |
| Questions to Guide Your Review | p.306 | ||
| Practice Exercises | p.307 | ||
| Additional and Advanced Exercises | p.310 |
Chapter 6
Applications Of Definite Integrals
| 6.1 | Volumes Using Cross-Sections | Exercises | p.321 |
| 6.2 | Volumes Using Cylindrical Shells | Exercises | p.330 |
| 6.3 | Arc Length | Exercises | p.337 |
| 6.4 | Areas of Surfaces of Revolution | Exercises | p.342 |
| 6.5 | Work and Fluid Forces | Exercises | p.349 |
| 6.6 | Moments and Centers of Mass | Exercises | p.363 |
| Questions to Guide Your Review | p.365 | ||
| Practice Exercises | p.366 | ||
| Additional and Advanced Exercises | p.368 |
Chapter 7
Transcendental Functions
| 7.1 | Inverse Functions | Exercises | p.376 |
| 7.2 | Natural Logarithms | Exercises | p.385 |
| 7.3 | Exponential Functions | Exercises | p.394 |
| 7.4 | Exponential Change and Separable Differential Equations | Exercises | p.405 |
| 7.5 | Indeterminate Forms and L'Hopital's Rule | Exercises | p.414 |
| 7.6 | Inverse Trigonometric Functions | Exercises | p.424 |
| 7.7 | Hyperbolic Functions | Exercises | p.433 |
| 7.8 | Relative Rates of Growth | Exercises | p.440 |
| Questions to Guide Your Review | p.441 | ||
| Practice Exercises | p.442 | ||
| Additional and Advanced Exercises | p.445 |
Chapter 8
Techniques Of Integration
| 8.1 | Using Basic Integration Formulas | Exercises | p.451 |
| 8.2 | Integration by Parts | Exercises | p.457 |
| 8.3 | Trigonometric Integrals | Exercises | p.465 |
| 8.4 | Trigonometric Substutions | Exercises | p.470 |
| 8.5 | Integration of Rational Functions by Partial Fractions | Exercises | p.477 |
| 8.6 | Integral Tables and Computer Algebra Systems | Exercises | p.483 |
| 8.7 | Numerical Integration | Exercises | p.492 |
| 8.8 | Improper Integrals | Exercises | p.503 |
| 8.9 | Probability | Exercises | p.516 |
| Questions to Guide Your Review | p.518 | ||
| Practice Exercises | p.519 | ||
| Additional and Advanced Exercises | p.522 |
Chapter 9
First-Order Differential Equations
| 9.1 | Solutions, Slope Fields, and Euler's Method | Exercises | p.532 |
| 9.2 | First-Order Linear Equations | Exercises | p.538 |
| 9.3 | Applications | Exercises | p.545 |
| 9.4 | Graphical Solutions of Autonomous Equations | Exercises | p.552 |
| 9.5 | Systems of Equations and Phase Planes | Exercises | p.556 |
| Questions to Guide Your Review | p.559 | ||
| Practice Exercises | p.559 | ||
| Additional and Advanced Exercises |
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