To the Student :
As you begin, you may feel anxious about the number of theorems, definitions, procedures, and equations. You may wonder if you can learn it all in time. Don’t worry, your concerns are normal. This textbook was written with you in mind. If you attend class, work hard, and read and study this book, you will build the knowledge and skills you need to be successful. Here’s how you can use the book to your benefit.
Read Carefully
When you get busy, it’s easy to skip reading and go right to the problems. Don’t. the book has a large number of examples and clear explanations to help you break down the mathematics into easy-to-understand steps. Reading will provide you with a clearer understanding, beyond simple memorization. Read before class (not after) so you can ask questions about anything you didn’t understand. You’ll be amazed at how much more you’ll get out of class if you do this.
When you get busy, it’s easy to skip reading and go right to the problems. Don’t. the book has a large number of examples and clear explanations to help you break down the mathematics into easy-to-understand steps. Reading will provide you with a clearer understanding, beyond simple memorization. Read before class (not after) so you can ask questions about anything you didn’t understand. You’ll be amazed at how much more you’ll get out of class if you do this.
CONTENT
Chapter 1 Graphs, Equations and Inequalities Primarily a review of Intermediate Algebra topics, with the exception of the introduction to the graphing utility, this material is prerequisite for later topics. The coverage of complex numbers and quadratic equations with a negative discriminant is optional and may be postponed or skipped entirely without loss of continuity.Chapter 2 Graphs This chapter lays the foundation for functions. Section 2.4 is optional.
Chapter 3 Functions and Their Graphs Perhaps the most important chapter. Section 3.6 is optional.
Chapter 4 Linear and Quadratic Functions Topic selection depends on your syllabus. Sections 4.2 and 4.4 may be omitted without a loss of continuity.
Chapter 5 Polynomial and Rational Functions Topic selection depends on your syllabus.
Chapter 6 Exponential and Logarithmic Functions Sections 6.1– 6.6 follow in sequence. Sections 6.7, 6.8, and 6.9 are optional.
Chapter 7 Trigonometric Functions Section 7.8 may be omitted in a brief course.
Chapter 8 Analytic Trigonometry Sections 8.2, 8.6, and 8.8 may be omitted in a brief course.
Chapter 9 Applications of Trigonometric Functions Sections 9.4 and 9.5 may be omitted in a brief course.
Chapter 10 Polar Coordinates; Vectors Sections 10.1–10.3 and Sections 10.4–10.5 are independent and may be covered separately.
Chapter 11 Analytic Geometry Sections 11.1–11.4 follow in sequence. Sections 11.5, 11.6, and 11.7 are independent of each other, but each requires Sections 11.1–11.4.
Chapter 12 Systems of Equations and Inequalities Sections 12.2–12.7 may be covered in any order, but each requires Section 12.1. Section 12.8 is optional but requires Section 12.7.
Chapter 13 Sequences; Induction; The Binomial Theorem There are three independent parts: Sections 13.1–13.3; Section 13.4; and Section 13.5.
Chapter 14 Counting and Probability The sections follow in sequence.
Title : Algebra and trigonometry - enhanced with graphing utilities
author(s) : Michael Sullivan
size : 37.8 Mb
file type : PDF
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