Schaum's Outline of Beginning Calculus

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McGraw Hill Professional, Sep 17, 2007 - Mathematics - 400 pages
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Contents

Chapter 1 Coordinate Systems on a Line
1
Chapter 2 Coordinate Systems in a Plane
8
Chapter 3 Graphs of Equations
15
Chapter 4 Straight Lines
25
Chapter 5 Intersections of Graphs
38
Chapter 6 Symmetry
44
Chapter 7 Functions and Their Graphs
49
Chapter 8 Limits
63
Chapter 26 Sine and Cosine Functions
203
Chapter 27 Graphs and Derivatives of Sine and Cosine Functions
215
Chapter 28 The Tangent and Other Trigonometric Functions
227
Chapter 29 Antiderivatives
235
Chapter 30 The Definite Integral
243
Chapter 31 The Fundamental Theorem of Calculus
253
Area and Arc Length
264
Volume
273

Chapter 9 Special Limits
71
Chapter 10 Continuity
82
Chapter 11 The Slope of a Tangent Line
91
Chapter 12 The Derivative
97
Chapter 13 More on the Derivative
105
Chapter 14 Maximum and Minimum Problems
110
Chapter 15 The Chain Rule
122
Chapter 16 Implicit Differentiation
133
Chapter 17 The MeanValue Theorem and the Sign of the Derivative
137
Chapter 18 Rectilinear Motion and Instantaneous Velocity
145
Chapter 19 Instantaneous Rate of Change
152
Chapter 20 Related Rates
156
Chapter 21 Approximation by Differentials Newtons Method
164
Chapter 22 HigherOrder Derivatives
171
Chapter 23 Applications of the Second Derivative and Graph Sketching
178
Chapter 24 More Maximum and Minimum Problems
190
Chapter 25 Angle Measure
197
Chapter 34 The Natural Logarithm
285
Chapter 35 Exponential Functions
292
Chapter 36 LH˘pitals Rule Exponential Growth and Decay
301
Chapter 37 Inverse Trigonometric Functions
309
Chapter 38 Integration by Parts
323
Chapter 39 Trigonometric Integrands and Trigonometric Substitutions
329
Chapter 40 Integration of Rational Functions The Method of Partial Fractions
339
Trigonometric Formulas
347
Basic Integration Formulas
348
Geometric Formulas
349
Trigonometric Functions
350
Natural Logarithms
352
Exponential Functions
354
Answers to Supplementary Problems
356
Index
393
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About the author (2007)

Dr. Elliott Mendelson was Professor of Mathematics at Queens College, the City University of New York.

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