Precalculus Mathematics: Lecture Notes By Lawrence Chang
Precalculus Mathematics: Lecture Notes - Table of Contents
1.1 Real Numbers
1.2 Exponents and Radicals
1.3 Algebraic Expressions
1.4 Rational Expressions
1.5 Equations
1.6 Modelling with Equations
1.7 Inequalities
1.8 Coordinate Geometry
1.9 Lines
1.10 Making Models Using Variation
2.1 What is a Function?
2.2 Graphs of Functions
2.3 Getting Information from the Graph of a Function
2.4 Average Rate of Change of a Function
2.5 Transformations of Functions
2.6 Combining Functions
2.7 One-to-one Functions and their Inverses
3.1 Quadratic Functions and Models
3.2 Polynomial Functions and their Graphs
3.3 Dividing Polynomials
3.4 Real Zeroes of Polynomials
3.5 Rational Functions
4.1 Exponential Functions
4.2 The Natural Exponential Functions
4.3 Logarithmic Functions
4.4 Laws of Logarithms
4.5 Exponential and Logarithmic Equations
5.1 Trigonometric Functions of Real Numbers
5.2 Trigonometric Graphs
5.3 Inverse Trigonometric Functions and their Graphs
6.1 Angle Measure
6.2 Trigonometry of Right Triangles
6.3 Trigonometric Functions of Angles, The Law of Sines and the Law of Cosines
7.1 Trigonometric Identities
7.2 Addition and Subtraction Formulas
7.3 Double-Angle, Half-Angle and Product-Sum Formulas
7.4 Basic and More Trigonometric Equations
What You Will Learn in Precalculus Mathematics: Lecture Notes
"Precalculus Mathematics: Lecture Notes" by "Lawrence Chang" is a well-structured educational resource aimed at helping students build a strong foundation in mathematics before advancing to calculus. The book is designed for clarity, offering concise explanations of essential precalculus concepts. It is widely used by students in introductory courses and serves as a reliable reference for learning fundamental mathematical principles.
The lecture notes cover key topics such as functions, algebraic expressions, and introductory trigonometry. Each concept is explained in a straightforward manner with examples and exercises that reinforce understanding. By emphasizing logical reasoning and problem-solving skills, "Lawrence Chang" ensures that students are well-prepared for more challenging topics in calculus and higher-level mathematics courses.
As an accessible "educational resource", these lecture notes are particularly beneficial for engineering and science students who need a solid grounding in precalculus. Licensed under Creative Commons, the notes can be freely used and adapted for classroom or self-study purposes. Through "Precalculus Mathematics: Lecture Notes", Lawrence Chang provides a practical and comprehensive guide that helps students gain confidence and proficiency in essential mathematical concepts, making it a valuable tool for learners at all levels.
Book Details & Specifications
Title:
Precalculus Mathematics: Lecture Notes By Lawrence Chang
Publisher:
Lawrence Chang
Year:
2020
Pages:
248
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
License:
CC BY-SA 4.0
Amazon:
Amazon
About the Author: Lawrence Chang
The author
Lawrence Chang
is a mathematics educator and author at the University of Saskatchewan, known for creating clear and structured teaching materials. His work focuses on helping students build a solid foundation in mathematics, preparing them for more advanced courses. His "Precalculus Mathematics: Lecture Notes" is a widely used "educational resource" covering essential "Precalculus" topics, including functions, algebra, and trigonometry. These "Lecture Notes" emphasize understanding through examples and exercises, making complex concepts accessible.
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