Precalculus with Limits 4th Edition by Ron Larson 1337516853 9781337516853

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ISBN-10 :  1337516853

ISBN-13 :  9781337516853

Author:  Ron Larson  

PRECALCULUS WITH LIMITS provides a brief algebra review of core topics and an introduction to concepts covered in calculus. The Fourth Edition incorporates real-world applications, ongoing review, and innovative technology. How Do You See It? exercises let you practice applying the concepts, and Summarize and Checkpoint questions reinforce understanding of the skill sets to help you prepare for tests.

Precalculus with Limits 4th Table of contents:

Ch 1: Functions and Their Graphs
1.1 Rectangular Coordinates
1.2 Graphs of Equations
1.3 Linear Equations in Two Variables
1.4 Functions
1.5 Analyzing Graphs of Functions
1.6 A Library of Parent Functions
1.7 Transformations of Functions
1.8 Combinations of Functions: Composite Functions
1.9 Inverse Functions
1.10 Mathematical Modeling and Variation
Chapter Summary
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
Ch 2: Polynomial and Rational Functions
2.1 Quadratic Functions and Models
2.2 Polynomial Functions of Higher Degree
2.3 Polynomial and Synthetic Division
2.4 Complex Numbers
2.5 Zeros of Polynomial Functions
2.6 Rational Functions
2.7 Nonlinear Inequalities
Chapter Summary
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
Ch 3: Exponential and Logarithmic Functions
3.1 Exponential Functions and Their Graphs
3.2 Logarithmic Functions and Their Graphs
3.3 Properties of Logarithms
3.4 Exponential and Logarithmic Equations
3.5 Exponential and Logarithmic Models
Chapter Summary
Review Exercises
Chapter Test
Cumulative Test for Chapters 1-3
Proofs in Mathematics
P.S. Problem Solving
Ch 4: Trigonometry
4.1 Radian and Degree Measure
4.2 Trigonometric Functions: The Unit Circle
4.3 Right Triangle Trigonometry
4.4 Trigonometric Functions of Any Angle
4.5 Graphs of Sine and Cosine Functions
4.6 Graphs of Other Trigonometric Functions
4.7 Inverse Trigonometric Functions
4.8 Applications and Models
Chapter Summary
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
Ch 5: Analytic Trigonometry
5.1 Using Fundamental Identities
5.2 Verifying Trigonometric Identities
5.3 Solving Trigonometric Equations
5.4 Sum and Difference Formulas
5.5 Multiple-Angle and Product-to-Sum Formulas
Chapter Summary
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
Ch 6: Additional Topics in Trigonometry
6.1 Law of Sines
6.2 Law of Cosines
6.3 Vectors in the Plane
6.4 Vectors and Dot Products
6.5 The Complex Plane
Chapter Summary
Review Exercises
Chapter Test
Cumulative Test for Chapters 4-6
Proofs in Mathematics
P.S. Problem Solving
Ch 7: Systems of Equations and Inequalities
7.1 Linear and Nonlinear Systems of Equations
7.2 Two-Variable Linear Systems
7.3 Multivariable Linear Systems
7.4 Partial Fractions
7.5 Systems of Inequalities
7.6 Linear Programming
Chapter Summary
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
Ch 8: Matrices and Determinants
8.1 Matrices and Systems of Equations
8.2 Operations with Matrices
8.3 The Inverse of a Square Matrix
8.4 The Determinant of a Square Matrix
8.5 Applications of Matrices and Determinants
Chapter Summary
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
Ch 9: Sequences, Series, and Probability
9.1 Sequences and Series
9.2 Arithmetic Sequences and Partial Sums
9.3 Geometric Sequences and Series
9.4 Mathematical Induction
9.5 The Binomial Theorem
9.6 Counting Principles
9.7 Probability
Chapter Summary
Review Exercises
Chapter Test
Cumulative Test for Chapters 7-9
Proofs in Mathematics
P.S. Problem Solving
Ch 10: Topics in Analytic Geometry
10.1 Lines
10.2 Introduction to Conics: Parabolas
10.3 Ellipses
10.4 Hyperbolas
10.5 Rotation of Conics
10.6 Parametric Equations
10.7 Polar Coordinates
10.8 Graphs of Polar Equations
10.9 Polar Equations of Conics
Chapter Summary
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
Ch 11: Analytic Geometry in Three Dimensions
11.1 The Three-Dimensional Coordinate System
11.2 Vectors in Space
11.3 The Cross Product of Two Vectors
11.4 Lines and Planes in Space
Chapter Summary
Review Exercises
Chapter Test
Proofs in Mathematics
P.S. Problem Solving
Ch 12: Limits and an Introduction to Calculus
12.1 Introduction to Limits
12.2 Techniques for Evaluating Limits
12.3 The Tangent Line Problem
12.4 Limits at Infinity and Limits of Sequences
12.5 The Area Problem
Chapter Summary
Review Exercises
Chapter Test
Cumulative Test for Chapters 10-12
Proofs in Mathematics
P.S. Problem Solving
Ch 13: Concepts in Statistics
13.1 Representing Data
13.2 Analyzing Data
13.3 Modeling Data

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