Calculus Lite Book

	Preface
	Introduction
I	The Derivative	1
1	Instantaneous Velocity and the Derivative	3
2	Geometric Interpretation of the Derivative as the Slope of the Graph	11
3	The Product and Quotient Rules	17
4	The Chain Rule and Implicit Differentiation	23
5	The Extended Power Rule	29
6	Sines, Cosines, and Their Derivatives	35
7	Maxima and Minima	43
8	Maxima-Minima Real-World Problems	61
9	Exponentials and Logarithms	77
10	Exponential Growth and Decay	85
11	The Second Derivative and Curve Sketching	93
12	Antidifferentiation	105
13	Differentiability and Continuity	111
14	Review	117
II	The Integral	125
15	Area and the Riemann Integral	127
16	The Fundamental Theorem of Calculus	133
17	Properties of the Definite Integral	139
18	Recognition-Substitution (For Indefinite Integrals)	147
19	Integration of Substitution	153
20	Review of Integration	159
21	Trigonometric Functions and Their Inverses	161
22	Volume, Length, Average	169
23	Integration by Table	175
24	Partial Fractions and Integration by Parts	181
25	Numerical Methods	189
26	Review Problems	193
III	Infinite Series	201
27	Infinite Series (Sums)	203
28	Power Series and Taylor Series	211
IV	Differential Equations	217
29	Differential Equations	219
30	Linear Second Order Homogeneous Constant-Coefficient Differential Equations	233
V	Multivariable Calculus	241
31	Partial Derivatives	243
32	Double Integrals	247
33	Critical Points	251
34	Maxima and Minima	253
	Answers to Odd-Numbered Exercises	257
	Greek Letters	293
	Index	295