Foundation Mathematics, Second Edition, is written to provide students at the foundation level with an effective learning aid. It can be utilized either as a text or a reference book and tailored to the requirements of the local pre-universities and the matriculation syllabus. It has worked examples and step-by-step solutions every step of the way and new features such as the Checkpoint-Practice and the Sample Examination Paper to offer better guidance to the students and to help them check their own progress along the way. Students will find it easy to understand the basic concepts of algebra and trigonometry as this book is presented in a clear and systematic manner. In addition, this book hopes to impart knowledge and making it a guide to a holistic approach to learning. It wants to create interest in mathematics as a practical tool in solving real-life problems and hopefully promote life-long learning.
Foreword
Preface
About the Authors
CHAPTER 1 Fundamental Concepts of Algebra
1.1 Real Number System
1.2 Exponents and Radicals
1.3 Algebraic Expressions
1.4 Rational Expressions
CHAPTER 2 Equations and Inequalities
2.1 Equations
2.2 Modeling with Equations
2.3 Inequalities
CHAPTER 3 Coordinate Geometry
3.1 Rectangular Coordinate Systems
3.2 Graphs of Equations
3.3 Lines
3.4 Circles
CHAPTER 4 Complex Numbers
4.1 Operations on Complex Numbers
4.2 Argand Diagram: Graphical Representation of a Complex
Number
CHAPTER 5 Functions and Graphs
5.1 Functions
5.2 Properties of Functions
5.3 Graphs of Functions
5.4 Graphing Techniques: Transformations
5.5 Quadratic Functions
5.6 Operations on Functions; Composite Functions
5.7 One-to-One Functions; Inverse Functions
CHAPTER 6 Polynomial Functions
6.1 Polynomial Functions
6.2 Division of Polynomials
6.3 Remainder and Factor Theorems
6.4 Real Zeros of Polynomials
6.5 Complex Zeros of Polynomials
6.6 Graphing Polynomial Functions
CHAPTER 7 Rational Functions
7.1 Rational Functions
7.2 Partial Fractions
7.3 Asymptotes of Rational Functions
7.4 Graphing Rational Functions
CHAPTER 8 Exponential and Logarithmic Functions
8.1 Exponential Functions
8.2 Logarithmic Functions
8.3 Exponential and Logarithmic Equations
8.4 Modeling with Exponential and Logarithmic Functions
CHAPTER 9 Systems of Equations
9.1 Systems of Equations: Substitution and Elimination Methods
9.2 Matrices
9.3 Systems of Equations: Matrices
9.4 Determinants
9.5 Systems of Equations: Determinant
9.6 Systems of Equations: Inverse
CHAPTER 10 Trigonometric Functions
10.1 Angles
10.2 Trigonometric Functions: The Unit Circle Approach
10.3 Trigonometric Functions of Angles
10.4 Values of the Trigonometric Functions
10.5 Trigonometric Graphs
CLONED EXAMINATION QUESTIONS
ANSWERS TO ODD-NUMBERED EXERCISES
INDEX
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Earl W. Swokowski
Earl Swokowski authored multiple editions of numerous successful textbooks, including CALCULUS; CALCULUS OF A SINGLE VARIABLE; FUNDAMENTALS OF COLLEGE ALGEBRA; and PRECALCULUS: FUNCTIONS AND GRAPHS, all published by Cengage Learning Brooks/Cole.
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Jeffrey A. Cole
Jeffrey A. Cole has been teaching mathematics and computer science at Anoka-Ramsey Community College since fall 1981.
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Mahiran Ghazali
Mahiran Ghazali holds a M. Sc. in Mathematics and a B. Sc. in Mathematics from Indiana State University (USA). She has been teaching pre-calculus and calculus at preuniversity level since 1997. She has experience as an assistant course coordinator for the Department of Science and is on the committee for reviewing of syllabus at the Center for Foundation Studies, IIUM.
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Dayana Ibrahim
DAYANA IBRAHIM, M. Sc. in Mathematics (Universiti Kebangsaan Malaysia), B. Sc. (Hons) in Mathematics (University of Bradford, UK). The author is currently teaching at the Department of Mathematics at Centre for Foundation Studies, International Islamic University Malaysia. She has more than 12 years teaching experience in the pre-university level.
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Yacob
Parveen Kausar Yacob holds a M. Ed. in Educational Technology from Universiti Malaya and a B. Sc. (Hons) Ed. in Mathematics from Universiti Teknologi Malaysia. She has been in the teaching profession for more than twenty years. She has vast experience being a Research Coordinator at the Center for Foundation Studies, IIUM for five years.
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Salina Mohin
SALINA MOHIN, M. Ed. in Mathematics Education (Universiti Malaya), B. Sc. in Applied Mathematics (University of Winnipeg, Canada). She has more than 12 years teaching experience in the pre-university level.
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Basic concepts of algebra and trigonometry presented in a systematic manner.
-
Foundational level mathematics with worked examples and step-by-step solutions every step of the way.
-
Special Checkpoint-Practice and Sample Examination Paper for students to check their progress along the way.
-
Holistic approach to learning so as to create interest in mathematics and use it as a practical tool in solving real-life problems.
-
Basic concepts of algebra and trigonometry presented in a systematic manner.
-
Foundational level mathematics with worked examples and step-by-step solutions every step of the way.
-
Special Checkpoint-Practice and Sample Examination Paper for students to check their progress along the way.
-
Holistic approach to learning so as to create interest in mathematics and use it as a practical tool in solving real-life problems.