Preparation for College Mathematics

This text has been written for students preparing for the quantitative courses taken by math and science majors, and to a lesser degree, business or economics courses. The text covers basic arithmetic through to basic trigonometry, and sections should be selected for coverage according to need and priority.

Mathematics

Tác giả: Lydia de Wolf
Nhà xuất bản: Siena College
Nguồn: LibreTexts
Giấy phép: CC BY-NC-SA
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

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01:Computation
1.1 Real Numbers
1.1E Exercises
1.2 Working With Fractions
1.2E Exercises
1.3 Working With Decimals
1.3E Exercises
1.4 Powers and Radicals
1.4E Exercises
1.5 Estimation Common Sense and Intuition
1.5E Exercises
1.6 Chapter 1 Study Guide
Appendices
4-Week Study Guide before going from MATH040 into MATH110
Drill Sheets
Basic Solving Practice
Combo Simplification Practice
Exponents and Radicals Drills
Fill-in-the-Blanks Unit Circle
Fractions Drills
Multiplication Drills
Chapter 2: Algebra Skills
2.1 Algebraic Expressions
2.1E Exercises
2.2 Factoring Techniques
2.2E Exercises
2.3 Rational Expressions
2.3E Exercises
2.4 Algebravaganza (Chapter 2 Study Guide)
2.4E Exercises
Chapter 3: Equations and Inequalities
3.1 Solving for a Variable
3.1E Exercises
3.2 Solving Inequalities
3.2E Exercises
3.3 Lines and Circles
3.3E Exercises
3.4 Modeling With Equations
3.4E Exercises
3.5 Solving Systems of Linear Equations
3.5E Exercises
3.6 Vectors and Matrices
3.6E Exercises
3.7 Chapter 3 Study Guide
Chapter 4: Functions
4.1 Functions Domain and Notation
4.1E Exercises
4.2 Graphing Functions With Transformations
4.2E Exercises
4.3 Compositions of Functions
4.3E Exercises
4.4 Inverse Functions
4.4E Exercises
4.5 Chapter 4 Study Guide
Chapter 5: Polynomial Functions
5.1 Linear Functions and Rate of Change
5.1E Exercises
5.2 Quadratic Functions
5.2E Exercises
5.3 Polynomial Functions
5.3E Exercises
5.4 Roots of Polynomial Functions
5.4E Exercises
5.5 Chapter 5 Study Guide
Chapter 6: Intro to More Functions
6.1 Rational Functions
6.1E Exercises
6.2 Asymptotes and Limits
6.2E Exercises
6.3 Basics of Exponential Functions
6.3E Exercises
6.4 Basics of Logarithmic Functions
6.4E Exercises
6.5 Chapter 6 Study Guide
Chapter 7: Exponential and Logarithmic Functions
7.1 Exponential Functions
7.1E Exercises
7.2 Logarithmic Functions
7.2E Exercises
7.3 Solving Exponential and Logarithmic Equations
7.3E Exercises
7.4 Applications
7.4E Exercises
7.5 Chapter 7 Study Guide
Chapter 8: Geometry and Trigonometry
8.1 Geometry Essentials
8.1E Exercises
8.2 Solving Problems With Geometry
8.2E Exercises
8.3 Trigonometry via Triangles
8.3E Exercises
8.4 Trigonometric Functions
8.4E Exercises
8.5 More (and Inverse) Trig Functions
8.5E Exercises
8.6 Trigonometric Identities
8.6E Exercises
8.7 Solving Trigonometric Equations
8.7E Exercises
8.8 Chapter 8 Study Guide