OCW is pleased to make this textbook available online. Published in 1991 and still in print from Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online Instructor's Manual and a student Study Guide.
Textbook Components
4: The Chain Rule, pp. 154-176
4.1 Derivatives by the Charin Rule, pp. 154-159
4.2 Implicit Differentiation and Related Rates, pp. 160-163
4.3 Inverse Functions and Their Derivatives, pp. 164-170
4.4 Inverses of Trigonometric Functions, pp. 171-176
Chapter 4 - complete ((PDF - 2.0 MB))
Chapter 4 - sections:
4.1 - 4.2 (PDF - 1.0 MB)
4.3 - 4.4 (PDF - 1.2 MB)
5: Integrals, pp. 177-227
5.1 The Idea of an Integral, pp. 177-181
5.2 Antiderivatives, pp. 182-186
5.3 Summation vs. Integration, pp. 187-194
5.4 Indefinite Integrals and Substitutions, pp. 195-200
5.5 The Definite Integral, pp. 201-205
5.6 Properties of the Integral and the Average Value, pp. 206-212
5.7 The Fundamental Theorem and Its Consequences, pp. 213-219
5.8 Numerical Integration, pp. 220-227
Chapter 5 - complete (PDF - 4.8 MB)
Chapter 5 - sections:
5.1 - 5.4 (PDF - 2.2 MB)
5.5 - 5.8 (PDF - 2.8 MB)
Source:
OCW MIT
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