Applied Mathematics Basic Exercises Class Guidance (Five-Year System) Volume 1

Author: Yan Zhanghang, Cheng Chuanrui, Tang Jianyu
Publisher:
Publish Date: 2004-08-01
Features: This book is a supplementary textbook for the five-year program "Applied Mathematics Foundation" (Volume 1). The main content of this book includes: summary of chapter content, classification and solutions of common problems, solutions and hints for typical exercises, and additional exercises. The book maintains consistency with the main textbook in terms of chapter order, content presentation, and notational symbols. Its content also provides sufficient material and resources for the problem-solving sessions of this course, greatly facilitating teachers' preparation and students' learning. This book can serve as a supplementary textbook for students in five-year programs at vocational and technical colleges, adult colleges, and various high school teaching-related majors. It can also be used as a supplementary textbook for students in secondary vocational and technical schools who start from junior high school graduation.
Table of Contents
Part Elementary Mathematics
Chapter 1 Sets, Inequalities, and Simple Logic
Section 1 Summary of Chapter Content
Section 2 Classification and Solutions of Common Problems
Section 3 Solutions and Hints for Typical Exercises
Section 4 Additional Exercises
Chapter 2 Power Functions, Exponential Functions, and Logarithmic Functions
Section 1 Summary of Chapter Content
Section 2 Classification and Solutions of Common Problems
Section 3 Solutions and Hints for Typical Exercises
Section 4 Additional Exercises
Chapter 3 Trigonometric Functions of Any Angle
Section 1 Summary of Chapter Content
Section 2 Classification and Solutions of Common Problems
Section 3 Solutions and Hints for Typical Exercises
Section 4 Additional Exercises
Chapter 4 Addition Formulas and Their Consequences
Section 1 Summary of Chapter Content
Section 2 Classification and Solutions of Common Problems
Section 3 Solutions and Hints for Typical Exercises
Section 4 Additional Exercises
Chapter 5 Inverse Trigonometric Functions and Simple Trigonometric Equations
Section 1 Summary of Chapter Content
Section 2 Classification and Solutions of Common Problems
Section 3 Solutions and Hints for Typical Exercises
Section 4 Additional Exercises
Chapter 6 Vector Geometry and Complex Numbers
Section 1 Summary of Chapter Content
Section 2 Classification and Solutions of Common Problems
Section 3 Solutions and Hints for Typical Exercises
Section 4 Additional Exercises
Chapter 7 Spatial Geometry
Section 1 Summary of Chapter Content
Section 2 Classification and Solutions of Common Problems
Section 3 Solutions and Hints for Typical Exercises
Section 4 Additional Exercises
Chapter 8 Straight Lines
Section 1 Summary of Chapter Content
Section 2 Classification and Solutions of Common Problems
Section 3 Solutions and Hints for Typical Exercises
Section 4 Additional Exercises
Chapter 9 Conic Sections
Section 1 Summary of Chapter Content
Section 2 Classification and Solutions of Common Problems
Section 3 Solutions and Hints for Typical Exercises
Section 4 Additional Exercises
Chapter 10 Polar Coordinates and Parametric Equations
Section 1 Summary of Chapter Content
Section 2 Classification and Solutions of Common Problems
Section 3 Solutions and Hints for Typical Exercises
Section 4 Additional Exercises
Chapter 11 Sequences and Mathematical Induction
Section 1 Summary of Chapter Content
Section 2 Classification and Solutions of Common Problems
Section 3 Solutions and Hints for Typical Exercises
Section 4 Additional Exercises
Chapter 12 Permutations, Combinations, and the Binomial Theorem
Section 1 Summary of Chapter Content
Section 2 Classification and Solutions of Common Problems
Section 3 Solutions and Hints for Typical Exercises
Section 4 Additional Exercises
Appendix Reference Answers to Additional Exercises