Barron's Math 360: a Complete Study Guide to Pre-Calculus with Online Practice

Name: Barron\u0027s Math 360: a Complete Study Guide to Pre-Calculus with Online Practice
Author: Barron\u0027s Educational Barron\u0027s Educational Series, Lawrence S. Leff, Christina Pawlowski-Polanish
ISBN: 9781506281384

by Barron's Educational Barron's Educational Series, Lawrence S. Leff, Christina Pawlowski-Polanish

an item in the Barron's Test Prep Series

Paperback

See All Available Copies

Barron's Math 360: a Complete Study Guide to Pre-Calculus with Online Practice

by Barron's Educational Barron's Educational Series, Lawrence S. Leff, Christina Pawlowski-Polanish

an item in the Barron's Test Prep Series

Paperback

See All Available Copies

Overview

Barron's Math 360 provides a complete guide to the fundamentals of pre-calculus. Whether you're a student or just looking to expand your brain power, this book is your go-to resource for everything pre-calculus. Carefully designed for optimal learning, you'll find: Comprehensive content, including instructive illustrations and examples that simplify complex concepts, Extensive review and practice to check your understanding, Online practice questions to take your study a step further Book jacket.

FormatPaperback

LanguageEnglish

PublisherKaplan Publishing

Publication DateSep. 7th, 2021

ISBN-139781506281384

Dimensions7.00 x 10.00 x 1.40 inches

ISBN-101506281389

Shipping Weight1.45 lbs

Lawrence S. Leff

Lawrence S. Leff has helped make mathematics and tests more accessible to students through his work and his writing. Leff is assistant principal and math supervisor at Franklin D. Roosevelt High School in Brooklyn, New York. His writing is centered primarily on examination preparation guides. His books, which target high school students, have included, Let's Review: Sequential Mathematics, a teacher planning and student review and math test preparation guide, and Preparation for the CLEP--College-Level Examination Program. Some of Leff's math review guides originally were intended for New York area high school students participating in the three-year mathematics curriculum there. Lawrence Leff has also published mathematics materials not strictly for test-taking, including Geometry the Easy Way.

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How to Use This Book	p. vii
Algebra and Graphing Methods
Basic Algebraic Methods	p. 3
Real Numbers, Variables, and Exponents	p. 3
Solving Linear Equations	p. 6
Solving Linear Inequalities	p. 10
Operations with Polynomials	p. 15
Factoring Polynomials	p. 19
Factoring Quadratic Trinomials	p. 22
Special Products and Factoring Patterns	p. 24
Review Exercises	p. 27
Rational and Irrational Expressions	p. 31
Operations with Rational Expressions	p. 31
Simplifying Complex Fractions	p. 37
Radicals and Fractional Exponents	p. 39
Operations with Radicals	p. 41
Review Exercises	p. 46
Graphing and Systems of Equations	p. 51
Graphing Points and Linear Equations	p. 52
Midpoint and Distance Formulas	p. 53
The Slope of a Line	p. 56
Graphing a Linear Equation	p. 58
Graphing a Linear Inequality	p. 59
Writing Equations of Lines	p. 61
Solving Linear Systems Graphically	p. 68
Solving Linear Systems Algebraically	p. 72
Review Exercises	p. 76
Functions and Quadratic Equations	p. 81
Function Concepts	p. 82
Quadratic Functions and Their Graphs	p. 89
Solving Quadratic Equations	p. 92
Solving a Linear-Quadratic System	p. 97
Applying Quadratic Equations	p. 99
Solving Quadratic Inequalities	p. 102
Review Exercises	p. 105
Complex Numbers and the Quadratic Formula	p. 111
Complex Numbers	p. 111
Multiplying and Dividing Complex Numbers	p. 114
Completing the Square	p. 115
The Quadratic Formula	p. 117
Review Exercises	p. 122
Functions and their Graphs
Special Functions and Equations	p. 129
Absolute-Value Equations and Inequalities	p. 129
Transformations of Graphs	p. 134
Special Functions and Their Graphs	p. 138
Radical Equations	p. 142
Rational Equations and Inequalities	p. 144
Review Exercises	p. 149
Polynomial and Rational Functions	p. 155
Division of Polynomials	p. 156
Zeros of Polynomial Functions	p. 165
Solving Polynomial Equations	p. 176
Graphing Polynomial Functions	p. 181
Graphing Rational Functions	p. 191
Decomposing Rational Expressions	p. 198
Review Exercises	p. 203
Exponential and Logarithmic Functions	p. 207
Inverse Functions	p. 207
The Exponential Function	p. 217
The Logarithmic Function	p. 219
Logarithm Laws and Equations	p. 223
Exponential and Logarithmic Models	p. 229
Review Exercises	p. 237
Trigonometric Analysis
Trigonometry	p. 247
Degree and Radian Measures	p. 248
Right-Triangle Trigonometry	p. 250
The General Angle	p. 254
Working with Trigonometric Functions	p. 258
Trigonometric Functions of Special Angles	p. 261
Review Exercises	p. 264
Graphing Trigonometric Functions	p. 271
Periodic Functions and Their Graphs	p. 271
Graphing Trigonometric Functions	p. 277
Transformations of Trigonometric Functions	p. 283
Inverse Trigonometric Functions	p. 286
Review Exercises	p. 289
Trigonometric Identities and Equations	p. 297
Pythagorean Trigonometric Identities	p. 297
Solving Trigonometric Equations	p. 301
Sum and Difference Identities	p. 303
Double-Angle Identities	p. 306
Half-Angle Identities	p. 308
Review Exercises	p. 310
Solving Triangles	p. 315
The Area of a Triangle	p. 315
The Law of Sines	p. 317
The Law of Cosines	p. 323
Review Exercises	p. 326
Polar Coordinates and Conic Sections
Polar Coordinates and Parametric Equations	p. 337
Parametric Equations	p. 338
The Polar Coordinate System	p. 341
The Polar Form of a Complex Number	p. 350
Powers and Roots of Complex Numbers	p. 354
Review Exercises	p. 359
Conic Sections and their Equations	p. 363
The Parabola	p. 364
The Ellipse	p. 372
The Hyperbola	p. 380
General Equations of Conics	p. 388
Polar Equations of Conics	p. 396
Review Exercises	p. 400
Number Patterns and Calculus PREVIEW
Sequences, Series, and Counting	p. 407
Arithmetic Sequences and Series	p. 408
Geometric Sequences and Series	p. 412
Generalized Sequences	p. 414
Mathematical Induction	p. 418
Permutations and Combinations	p. 422
The Binomial Theorem	p. 424
Review Exercises	p. 427
Calculus Preview	p. 433
Limits of Functions	p. 433
Slope of a Tangent Line	p. 446
Rules for Finding Derivatives	p. 451
Finding Antiderivatives	p. 454
Integration and Area Under a Curve	p. 457
Review Exercises	p. 461
Appendix: Graphing with a Calculator	p. 465
Answers to Chapter Review Exercises	p. 469
Index	p. 507
Table of Contents provided by Ingram. All Rights Reserved.

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Overview

Product Details

FormatPaperback

LanguageEnglish

PublisherKaplan Publishing

Publication DateSep. 7th, 2021

ISBN-139781506281384

Dimensions7.00 x 10.00 x 1.40 inches

ISBN-101506281389

Shipping Weight1.45 lbs

About the Author

How to Use This Book	p. vii
Algebra and Graphing Methods
Basic Algebraic Methods	p. 3
Real Numbers, Variables, and Exponents	p. 3
Solving Linear Equations	p. 6
Solving Linear Inequalities	p. 10
Operations with Polynomials	p. 15
Factoring Polynomials	p. 19
Factoring Quadratic Trinomials	p. 22
Special Products and Factoring Patterns	p. 24
Review Exercises	p. 27
Rational and Irrational Expressions	p. 31
Operations with Rational Expressions	p. 31
Simplifying Complex Fractions	p. 37
Radicals and Fractional Exponents	p. 39
Operations with Radicals	p. 41
Review Exercises	p. 46
Graphing and Systems of Equations	p. 51
Graphing Points and Linear Equations	p. 52
Midpoint and Distance Formulas	p. 53
The Slope of a Line	p. 56
Graphing a Linear Equation	p. 58
Graphing a Linear Inequality	p. 59
Writing Equations of Lines	p. 61
Solving Linear Systems Graphically	p. 68
Solving Linear Systems Algebraically	p. 72
Review Exercises	p. 76
Functions and Quadratic Equations	p. 81
Function Concepts	p. 82
Quadratic Functions and Their Graphs	p. 89
Solving Quadratic Equations	p. 92
Solving a Linear-Quadratic System	p. 97
Applying Quadratic Equations	p. 99
Solving Quadratic Inequalities	p. 102
Review Exercises	p. 105
Complex Numbers and the Quadratic Formula	p. 111
Complex Numbers	p. 111
Multiplying and Dividing Complex Numbers	p. 114
Completing the Square	p. 115
The Quadratic Formula	p. 117
Review Exercises	p. 122
Functions and their Graphs
Special Functions and Equations	p. 129
Absolute-Value Equations and Inequalities	p. 129
Transformations of Graphs	p. 134
Special Functions and Their Graphs	p. 138
Radical Equations	p. 142
Rational Equations and Inequalities	p. 144
Review Exercises	p. 149
Polynomial and Rational Functions	p. 155
Division of Polynomials	p. 156
Zeros of Polynomial Functions	p. 165
Solving Polynomial Equations	p. 176
Graphing Polynomial Functions	p. 181
Graphing Rational Functions	p. 191
Decomposing Rational Expressions	p. 198
Review Exercises	p. 203
Exponential and Logarithmic Functions	p. 207
Inverse Functions	p. 207
The Exponential Function	p. 217
The Logarithmic Function	p. 219
Logarithm Laws and Equations	p. 223
Exponential and Logarithmic Models	p. 229
Review Exercises	p. 237
Trigonometric Analysis
Trigonometry	p. 247
Degree and Radian Measures	p. 248
Right-Triangle Trigonometry	p. 250
The General Angle	p. 254
Working with Trigonometric Functions	p. 258
Trigonometric Functions of Special Angles	p. 261
Review Exercises	p. 264
Graphing Trigonometric Functions	p. 271
Periodic Functions and Their Graphs	p. 271
Graphing Trigonometric Functions	p. 277
Transformations of Trigonometric Functions	p. 283
Inverse Trigonometric Functions	p. 286
Review Exercises	p. 289
Trigonometric Identities and Equations	p. 297
Pythagorean Trigonometric Identities	p. 297
Solving Trigonometric Equations	p. 301
Sum and Difference Identities	p. 303
Double-Angle Identities	p. 306
Half-Angle Identities	p. 308
Review Exercises	p. 310
Solving Triangles	p. 315
The Area of a Triangle	p. 315
The Law of Sines	p. 317
The Law of Cosines	p. 323
Review Exercises	p. 326
Polar Coordinates and Conic Sections
Polar Coordinates and Parametric Equations	p. 337
Parametric Equations	p. 338
The Polar Coordinate System	p. 341
The Polar Form of a Complex Number	p. 350
Powers and Roots of Complex Numbers	p. 354
Review Exercises	p. 359
Conic Sections and their Equations	p. 363
The Parabola	p. 364
The Ellipse	p. 372
The Hyperbola	p. 380
General Equations of Conics	p. 388
Polar Equations of Conics	p. 396
Review Exercises	p. 400
Number Patterns and Calculus PREVIEW
Sequences, Series, and Counting	p. 407
Arithmetic Sequences and Series	p. 408
Geometric Sequences and Series	p. 412
Generalized Sequences	p. 414
Mathematical Induction	p. 418
Permutations and Combinations	p. 422
The Binomial Theorem	p. 424
Review Exercises	p. 427
Calculus Preview	p. 433
Limits of Functions	p. 433
Slope of a Tangent Line	p. 446
Rules for Finding Derivatives	p. 451
Finding Antiderivatives	p. 454
Integration and Area Under a Curve	p. 457
Review Exercises	p. 461
Appendix: Graphing with a Calculator	p. 465
Answers to Chapter Review Exercises	p. 469
Index	p. 507
Table of Contents provided by Ingram. All Rights Reserved.

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Barron's Math 360: a Complete Study Guide to Pre-Calculus with Online Practice

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Barron's Math 360: a Complete Study Guide to Pre-Calculus with Online Practice

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See All Available Copies

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Lawrence S. Leff

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Lawrence S. Leff

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Barron's Math 360: a Complete Study Guide to Pre-Calculus with Online Practice

Paperback

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Barron's Math 360: a Complete Study Guide to Pre-Calculus with Online Practice

Paperback

See All Available Copies

See All Available Copies

Overview

Lawrence S. Leff

Categories

All Available Copies Find out more about shipping times from these sellers.

Table Of Contents

Overview

Overview

Product Details

About the Author

Lawrence S. Leff

Table Of Contents

All Available Copies