College Math

College Math Study Guide

Table of Contents Chapter 1: Introduction to Algebra and Functions ................................................................................... 5 1.1 Set of Real Numbers....................................................................................................................................................5 1.2 Inequalities ....................................................................................................................................................................7 1.3 Mathematical Translations of Equalities fromWords ...................................................................................9 1.4 Mathematical Translations of Inequalities fromWords ............................................................................ 10 1.5 Solving Equations ..................................................................................................................................................... 10 1.6 Solving Inequalities ................................................................................................................................................. 11 1.7 Solving Inequalities with Modulus Symbol ..................................................................................................... 12 1.8 Systems of Linear Equations................................................................................................................................. 13 1.9 Polynomials ................................................................................................................................................................ 18 1.10 Solving Quadratic Equations.............................................................................................................................. 19 1.11 Functions................................................................................................................................................................... 20 1.12 Exponential Functions.......................................................................................................................................... 22 1.13 Logarithm Functions............................................................................................................................................. 23 1.14 Chapter One Review.............................................................................................................................................. 25 1.15 Chapter One Review Answers............................................................................................................................ 28 Chapter 2: Financial Mathematics.................................................................................................................32 2.1 Percent ......................................................................................................................................................................... 32 2.2 Discounts, Markups, and Taxation..................................................................................................................... 33 2.3 Change in Percentage.............................................................................................................................................. 35 2.4 Profits and Losses..................................................................................................................................................... 35 2.5 Interest ......................................................................................................................................................................... 36 2.6 Simple Interest .......................................................................................................................................................... 36 2.7 Compound Interest .................................................................................................................................................. 36 2.8 Continuous Interest ................................................................................................................................................. 38 2.9 Effective Interest Rate (Effective Annual Rate of Interest or EAR)......................................................... 38 2.10 Effective Annual Yield/Annual Percentage Rate (APR) ........................................................................... 39 2.11 Present and Future Value ................................................................................................................................... 40 2.12 Chapter Two Review............................................................................................................................................. 40 2.13 Chapter Two Review Answers........................................................................................................................... 43 Chapter 3: Geometry..........................................................................................................................................46 3.1 Triangles...................................................................................................................................................................... 46 3.2 Quadrilaterals............................................................................................................................................................ 49 3.3 Parallel and Perpendicular Lines ....................................................................................................................... 50 3.4 Circles ........................................................................................................................................................................... 52 3.5 Theorems of Circle ................................................................................................................................................... 54 3.6 Chapter Three Review ............................................................................................................................................ 56 3.7 Chapter Three Review Answers .......................................................................................................................... 59 Chapter 4: Counting and Probability............................................................................................................63

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