CONTENTS
Chapter 1 INEQUALITIES
Chapter 2 ABSOLUTE VALUE
Chapter 3 LINES
Chapter 4 CIRCLES
Chapter 5 FUNCTIONS AND THEIR GRAPHS
Chapter 6 LIMITS
Chapter 7 CONTINUITY
Chapter 8 THE DERIVATIVE
Chapter 9 THE CHAIN RULE
Chapter 10 TRIGONOMETRIC FUNCTIONS AND THEIR DERIVATIVES
Chapter 11 ROLLE'S THEOREM, THE MEAN VALUE THEOREM, AND THE SIGN
OF THE DERIVATIVE
Chapter 12 HIGHER-ORDER DERIVATIVES AND IMPLICIT DIFFERENTIATION
Chapter 13 MAXIMA AND MINIMA
Chapter 14 RELATED RATES
Chapter 15 CURVE SKETCHING (GRAPHS)
Chapter 16 APPLIED MAXIMUM AND MINIMUM PROBLEMS
Chapter 17 RECTILINEAR MOTION
Chapter 18 APPROXIMATION BY DIFFERENTIALS
Chapter 19 ANTIDERIVATIVES (INDEFINITE INTEGRALS)
Chapter 20 THE DEFINITE INTEGRAL AND THE FUNDAMENTAL THEOREM OF
CALCULUS
Chapter 21 AREA AND ARC LENGTH
Chapter 22 VOLUME
Chapter 23 THE NATURAL LOGARITHM
Chapter 24 EXPONENTIAL FUNCTIONS
Chapter 25 L'HOPITAL'S RULE
Chapter 26 EXPONENTIAL GROWTH AND DECAY
1
5
9
19
23
35
43
49
56
62
69
75
81
88
100
118
133
138
142
152
163
173
185
195
208
215
iii