Chapter 1

Functions And Their Graphs

1 Functions Exercises p.74
2 Analyzing Graphs of Functions Exercises p.87
3 Shifting, Reflecting, and Stretching Graphs Exercises p.97
4 Combinations of Functions Exercises p.106
5 Inverse Functions Exercises p.114
6 Mathematical Modeling Exercises p.124
Review Exercises p.130
Problem Solving p.133

Chapter 2

Polynomial And Rational Functions

1 Quadratic Functions Exercises p.142
2 Polynomial Functions of Higher Degree Exercises p.154
3 Polynomial and Synthetic Division Exercises p.164
4 Complex Numbers Exercises p.172
5 The Fundamental Theorem of Algebra Exercises p.181
6 Rational Functions Exercises p.193
Review Exercises p.198
Problem Solving p.201

Chapter 3

Limits And Their Properties

1 A Preview of Calculus Exercises p.209
2 Finding Limits Graphically and Numerically Exercises p.215
3 Evaluating Limits Analytically Exercises p.224
4 Continuity and One-Sided Limits Exercises p.234
5 Infinite Limits Exercises p.243
Review Exercises p.246
Problem Solving p.248

Chapter 4


1 The Derivative and the Tangent Line Problem Exercises p.259
2 Basic Differentiation Rules and Rates of Change Exercises p.270
3 The Product and Quotient Rules and Higher-Order Derivatives Exercises p.280
4 The Chain Rule Exercises p.289
5 Implicit Differentiation Exercises p.297
6 Related Rates Exercises p.304
Review Exercises p.307
Problem Solving p.311

Chapter 5

Applications Of Differentiation

1 Extrema on an Interval Exercises p.319
2 Rolle's Theorem and the Mean Value Theorem Exercises p.326
3 Increasing and Decreasing Functions and the First Derivative Test Exercises p.335
4 Concavity and the Second Derivative Test Exercises p.343
5 Limits at Infinity Exercises p.353
6 A Summary of Curve Sketching Exercises p.361
7 Optimization Problems Exercises p.369
8 Differentials Exercises p.380
Review Exercises p.382
Problem Solving p.385

Chapter 6


1 Antiderivatives and Indefinite Integration Exercises p.394
2 Area Exercises p.406
3 Riemann Sums and Definite Integrals Exercises p.417
4 The Fundamental Theorem of Calculus Exercises p.429
5 Integration by Substitution Exercises p.442
Exercises p.449
Review Exercises p.451
Problem Solving p.454

Chapter 7

Exponential And Logarithmic Functions

1 Exponential Functions and Their Graphs Exercises p.464
2 Logarithmic Functions and Their Graphs Exercises p.475
3 Using Properties of Logarithms Exercises p.483
4 Exponential and Logarithmic Equations Exercises p.491
5 Exponential and Logarithmic Models Exercises p.502
Review Exercises p.507
Problem Solving p.511

Chapter 8

Exponential And Logarithmic Functions And Calculus

1 Exponential Functions: Differentiation and Integration Exercises p.518
2 Logarithmic Functions and Differentiation Exercises p.526
3 Logarithmic Functions and Integration Exercises p.535
4 Differential Equations: Growth and Decay Exercises p.542
Review Exercises p.544
Problem Solving p.546

Chapter 9

Trigonometric Functions

1 Radian and Degree Measure Exercises p.556
2 Trigonometric Functions: The Unit Circle Exercises p.564
3 Right Triangle Trigonometry Exercise p.571
4 Trigonometric Functions of Any Angle Exercises p.580
5 Graphs of Sine and Cosine Functions Exercises p.590
6 Graphs of Other Trigonometric Functions Exercises p.600
7 Inverse Trigonometric Functions Exercises p.610
8 Applications and Models Exercises p.617
Exercises p.622
Problem Solving p.625

Chapter 10

Analytic Trigonometry

1 Using Fundamental Trigonometric Identities Exercises p.632
2 Verifying Trigonometric Identities Exercises p.639
3 Solving Trigonometric Equations Exercises p.647
4 Sum and Difference Formulas Exercises p.655
5 Multiple-Angle and Product-to-Sum Formulas Exercises p.663
Review Exercises p.667
Problem Solving p.669

Chapter 11

Trigonometric Functions And Calculus

1 Limits of Trigonometric Functions Exercises p.675
2 Trigonometric Functions: Differentiation Exercises p.685
3 Trigonometric Functions: Integration Exercises p.694
4 Inverse Trigonometric Functions: Differentiation Exercises p.700
5 Inverse Trigonometric Functions: Integration Exercises p.707
6 Hyperbolic Functions Exercises p.717
Exercises p.719
Problem Solving p.722

Chapter 12

Topics In Analytic Geometry

1 Introduction to Conics: Parabolas Exercises p.730
2 Ellipses and Implicit Differentiation Exercises p.738
3 Hyperbolas and Implicit Differentiation Exercises p.747
4 Parametric Equations and Calculus Exercises p.755
5 Polar Coordinates and Calculus Exercises p.763
6 Graphs of Polar Equations Exercises p.768
7 Polar Equations of Conics Exercises p.771
Exercises p.775
Problem Solving p.778

Chapter 13

Additional Topics In Trigonometry

1 Law of Sines Exercises p.788
2 Law of Cosines Exercises p.795
3 Vectors in the Plane Exercises p.806
4 Vectors and Dot Products Exercises p.816
5 Trigonometric Form of a Complex Number Exercises p.825
Exercises p.828
Problem Solving p.831

Chapter 14

Systems Of Equations And Matrices

1 Systems of Linear Equations in Two Variables Exercises p.843
2 Multivariable Linear Systems Exercises p.854
3 Systems of Inequalities Exercises p.863
4 Matrices and Systems of Equations Exercises p.877
5 Operations with Matrices Exercises p.890
6 The Inverse of a Square Matrix Exercises p.900
7 The Determinant of a Square Matrix Exercises p.907
Exercises p.910
Problem Solving p.915

Chapter P


1 Solving Equations Exercises p.11
2 Solving Inequalities Exercises p.23
3 Graphical Representations of Data Exercises p.33
4 Graphs of Equations Exercises p.44
5 Linear Equations in Two Variables Exercises p.56
Review Exercises p.62
Problem Solving p.65
Larson Calculus I With Precalculus: A One Year Course, 2nd Edition



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