Precalculus: A Prelude to Calculus, 3rd Edition

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Precalculus: A Prelude to Calculus, 3rd Edition

By Sheldon Axler

Precalculus: A Prelude to Calculus, 3rd Edition focuses only on topics that students actually need to succeed in calculus. Geared towards courses with intermediate algebra prerequisites, this program covers topics such as inverse functions, logarithms, half-life and exponential growth, area, e, the exponential function, the natural logarithm, and trigonometry.

WileyPLUS for Precalculus: A Prelude to Calculus includes ORION Adaptive Practice that helps students build their proficiency on topics and use their study time most effectively.

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Students get a chance to master prerequisite skills at their own pace.

Students are often coming to precalculus lacking the prerequisite skills they need to succeed. The new ORION Algebra Refresher Module allows for instructors and students to leverage the power of adaptive learning to identify and work on individualized study plans based on the concepts students may not have mastered.

Author-created Worked Example Videos help to clarify the most difficult concepts.

These Worked Example Video clips provide concise review and remediation on the most difficult examples presented throughout the program.

Student Solutions Manual helps sharpen problem-solving skills and boost confidence.

Not only is this a manageable text with flexible and abundant topics, but Precalculus also includes a Student Solutions Manual to aid in comprehension. The Student Solutions Manual is available to students both in WileyPLUS and the loose-leaf version of the text.

    Instructor Resources

  • Instructor’s Solutions Manual
  • Lecture Note Slides
  • Printed Test Bank
  • Computerized Test Bank

Chapter 0: The Real Numbers 
0.1 The Real Line
0.2 Algebra of the Real Numbers
0.3 Inequalities, Intervals, and Absolute Value
Chapter Summary and Chapter Review Questions

Chapter 1: Functions and Their Graphs 
1.1 Functions
1.2 The Coordinate Plane and Graphs
1.3 Function Transformations and Graphs
1.4 Composition of Functions
1.5 Inverse Functions
1.6 A Graphical Approach to Inverse Functions
Chapter Summary and Chapter Review Questions

Chapter 2: Linear, Quadratic, Polynomial, and Rational Functions 
2.1 Lines and Linear Functions
2.2 Quadratic Functions and Conics
2.3 Exponents
2.4 Polynomials
2.5 Rational Functions
Chapter Summary and Chapter Review Questions

Chapter 3: Exponential Functions, Logarithms, and e 
3.1 Logarithms as Inverses of Exponential Functions
3.2 Applications of the Power Rule for Logarithms
3.3 Applications of the Product and Quotient Rules for Logarithms
3.4 Exponential Growth
3.5 e and the Natural Logarithm
3.6 Approximations and area with e and ln
3.7 Exponential Growth Revisited
Chapter Summary and Chapter Review Questions

Chapter 4: Trigonometric Functions 
4.1 The Unit Circle
4.2 Radians
4.3 Cosine and Sine
4.4 More Trigonometric Functions
4.5 Trigonometry in Right Triangles
4.6 Trigonometric Identities
Chapter Summary and Chapter Review Questions

Chapter 5: Trigonometric Algebra and Geometry 
5.1 Inverse Trigonometric Functions
5.2 Inverse Trigonometric Identities
5.3 Using Trigonometry to Compute Area
5.4 The Law of Sines and the Law of Cosines
5.5 Double-Angle and Half-Angle Formulas
5.6 Addition and Subtraction Formulas
5.7 Transformations of Trigonometric Functions
Chapter Summary and Chapter Review Questions

Chapter 6: Applications of Trigonometry 
6.1 Transformations of Trigonometric Functions
6.2 Polar Coordinates
6.3 Limits
Chapter Summary and Chapter Review Questions

Chapter 7: Polar Coordinates, Vectors, and Complex Numbers 
7.1 Polar Coordinates
7.2 Vectors
7.3 Complex Number
7.4 The Complex Plane
Chapter Summary and Chapter Review Questions

Appendix A: Area

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