| Linear Coordinate Systems. Absolute Value. Inequalities | p. 1 |
| Rectangular Coordinate Systems | p. 9 |
| Lines | p. 18 |
| Circles | p. 30 |
| Equations and Their Graphs | p. 39 |
| Functions | p. 53 |
| Limits | p. 61 |
| Continuity | p. 71 |
| The Derivative | p. 79 |
| Rules for Differentiating Functions | p. 86 |
| Implicit Differentiation | p. 98 |
| Tangent and Normal Lines | p. 102 |
| Law of the Mean. Increasing and Decreasing Functions | p. 108 |
| Maximum and Minimum Values | p. 115 |
| Curve Sketching. Concavity. Symmetry | p. 129 |
| Review of Trigonometry | p. 141 |
| Differentiation of Trigonometric Functions | p. 152 |
| Inverse Trigonometric Functions | p. 166 |
| Rectilinear and Circular Motion | p. 175 |
| Related Rates | p. 182 |
| Differentials. Newton's Method | p. 188 |
| Antiderivatives | p. 196 |
| The Definite Integral. Area Under A Curve | p. 206 |
| The Fundamental Theorem of Calculus | p. 216 |
| The Natural Logarithm | p. 225 |
| Exponential and Logarithmic Functions | p. 234 |
| L'Hopital's Rule | p. 243 |
| Exponential Growth and Decay | p. 252 |
| Applications of Integration I: Area and Arc Length | p. 257 |
| Applications of Integration II: Volume | p. 266 |
| Techniques of Integration I: Integration by Parts | p. 281 |
| Techniques of Integration II: Trigonometric Integrands and Trigonometric Substitutions | p. 289 |
| Techniques of Integration III: Integration by Partial Fractions | p. 304 |
| Miscellaneous Substitutions | p. 314 |
| Improper Integrals | p. 320 |
| Applications of Integration II: Area of a Surface of Revolution | p. 329 |
| Parametric Representation of Curves | p. 336 |
| Curvature | p. 342 |
| Plane Vectors | p. 351 |
| Curvilinear Motion | p. 363 |
| Polar Coordinates | p. 370 |
| Infinite Sequences | p. 385 |
| Infinite Series | p. 394 |
| Series with Positive Terms. The Integral Test. Comparison Tests | p. 400 |
| Alternating Series. Absolute and Conditional Convergence. The Ratio Test | p. 410 |
| Power Series | p. 419 |
| Taylor and Maclaurin Series. Taylor's Formula with Remainder | p. 432 |
| Partial Derivatives | p. 442 |
| Total Differential. Differentiability. Chain Rules | p. 452 |
| Space Vectors | p. 464 |
| Surface and Curves in Space | p. 478 |
| Directional Derivatives. Maximum and Minimum Values | p. 490 |
| Vector Differentiation and Integration | p. 498 |
| Double and Iterated Integrals | p. 511 |
| Centroids and Moments of Inertia of Plane Areas | p. 520 |
| Double Integration Applied to Volume Under a Surface and the Area of a Curved Surface | p. 530 |
| Triple Integrals | p. 539 |
| Masses of Variable Density | p. 552 |
| Differntial Equations of First and Second Order | p. 559 |
| Index | p. 573 |
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