Larson Calculus for AP

Larson Calculus for AP Larson Calculus for AP

ISBN: 9781305674912 / 130567491X

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Table of Contents

Chapter P

Preparation For Calculus

P.1 Graphs and Models Exercises p.10
P.2 Linear Models and Rates of Change Exercises p.20
P.3 Functions and Their Graphs Exercises p.31
P.4 Inverse Functions Exercises p.42
P.5 Exponential and Logarithmic Functions Exercises p.51
Review Exercises p.54
Performance Task p.56

Chapter 1

Limits And Their Properties

1.1 A Preview of Calculus Exercises p.63
1.2 Finding Limits Graphically and Numerically Exercises p.72
1.3 Evaluating Limits Analytically Exercises p.84
1.4 Continuity and One-Sided Limits Exercises p.96
1.5 Infinite Limits Exercises p.105
1.6 Limits at Infinity Exercises p.115
Review Exercises p.118
AP Exam Practice Questions p.120

Chapter 2


2.1 The Derivative and the Tangent Line Problem Exercises p.131
2.2 Basic Differentiation Rules and Rates of Change Exercises p.143
2.3 Product and Quotient Rules and Higher-Order Derivatives Exercises p.154
2.4 The Chain Rule Exercises p.168
2.5 Implicit Differentiation Exercises p.179
2.6 Derivatives of Inverse Functions Exercises p.186
2.7 Related Rates Exercises p.194
2.8 Newton's Method Exercises p.202
Review Exercises p.204
AP Exam Practice Questions p.208

Chapter 3

Applications Of Differentiation

3.1 Extrema on an Interval Exercises p.217
3.2 Rolle's Theorem and the Mean Value Theorem Exercises p.224
3.3 Increasing and Decreasing Functions and the First Derivative Test Exercises p.233
3.4 Concavity and the Second Derivative Test Exercises p.242
3.5 A Summary of Curve Sketching Exercises p.253
3.6 Optimization Problems Exercises p.262
3.7 Differentials Exercises p.272
Review Exercises p.274
AP Exam Practice p.276

Chapter 4


4.1 Antiderivatives and Indefinite Integrals Exercises p.287
4.2 Area Exercises p.299
4.3 Riemann Sums and Definite Integrals Exercises p.312
4.4 The Fundamental Theorem of Calculus Exercises p.328
4.5 Integration by Substitution Exercises p.341
4.6 The Natural Logarithmic Function: Integration Exercises p.351
4.7 Inverse Trigonometric Functions: Integration Exercises p.359
Review Exercises p.362
AP Exam Practice p.364

Chapter 5

Differential Equations

5.1 Slope Fields and Euler's Method Exercises p.373
5.2 Differential Equations: Growth and Decay Exercises p.382
5.3 Separation of Variables Exercises p.391
5.4 The Logistic Equation Exercises p.400
Review Exercises p.402
AP Exam Practice p.404

Chapter 6

Applications Of Integration

6.1 Area of a Region Between Two Curves Exercises p.414
6.2 Volume: The Disk Method Exercises p.425
6.3 Volume: The Shell Method Exercises p.434
6.4 Arc Length and Surfaces of Revolution Exercises p.444
Review Exercises p.448
AP Exam Practice p.450

Chapter 7

Integration Techniques, L'Hopital's Rule, And Improper Integrals

7.1 Basic Integration Rules Exercises p.458
7.2 Integration by Parts Exercises p.467
7.3 Trigonometric Integrals Exercises p.477
7.4 Trigonometric Substitution Exercises p.486
7.5 Partial Fractions Exercises p.496
7.6 Integration by Tables and Other Integration Techniques Exercises p.502
7.7 Indeterminate Forms and L'Hopital's Rule Exercises p.511
7.8 Improper Integrals Exercises p.522
Review Exercises p.526
AP Exam Practice p.528

Chapter 8

Infinite Series

8.1 Sequences Exercises p.540
8.2 Series and Convergence Exercises p.549
8.3 The Integral Test and p-Series Exercises p.557
8.4 Comparisons of Series Exercises p.564
8.5 Alternating Series Exercises p.573
8.6 The Ratio and Root Tests Exercises p.581
8.7 Taylor Polynomials and Approximations Exercises p.592
8.8 Power Series Exercises p.602
8.9 Representation of Functions by Power Series Exercises p.610
8.10 Taylor and Maclaurin Series Exercises p.621
Review Exercises p.624
AP Exam Practice p.626

Chapter 9

Parametric Equations, Polar Coordinates, And Vectors

9.1 Conics and Calculus Exercises p.640
9.2 Plane Curves and Parametric Equations Exercises p.650
9.3 Parametric Equations and Calculus Exercises p.657
9.4 Polar Coordinates and Polar Graphs Exercises p.668
9.5 Area and Arc Length in Polar Coordinates Exercises p.676
9.6 Vectors in the Plane Exercises p.684
9.7 Vector-Valued Functions Exercises p.693
9.8 Velocity and Acceleration Exercises p.700
Review Exercises p.702
AP Exam Practice p.706
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