Rationale

Algebra is a branch of mathematics which studies equations and the methods for solving these equations. Algebra has evolved for more than 3000 years and has emerged as a basic tool of modern science, social science, business, and technology. Algebra is a foundation for al higher mathematics, including, but not limited to, trigonometry, calculus, finite mathematics, probability and statistics. Algebra teaches not only skills, but also thought processes that will be used again and again in college level mathematics courses.

Syllabus - Introductory Algebra, Math 082

Introductory Algebra covers first degree equations and inequalities, linear equations, systems of equations, polynomials, and factoring.

Pre-requisites: MATH 081 or a satisfactory score on the math placement test and RDNG 051.

Syllabus - Intermediate Algebra, Math 083

Covers rational expressions and equations, radicals, quadratic equations, complex numbers, functions and relations, and exponential and logarithmic functions. Course offered fall, spring, and may be...

Prerequisite(s): MATH 082 or a satisfactory score on the math placement test and RDNG 051 or ESOL 044 or ACLT 052

In this course ...

Textbook

We'll be using the following book as our main textbook:

Software (Not required but may be helpful)

Algebrator ($$)
SageMath (Free online)

Weekly Lectures


Chapter	Topics to be covered	PowerPoint Presentations / Links / Videos / Simulations
1	1. Variables, Real Numbers, and Mathematical Models 1.1 Introduction to Algebra: Variables and Mathematical Models 1.2 Fractions in Algebra 1.3 The Real Numbers 1.4 Basic Rules of Algebra 1.5 Addition of Real Numbers 1.6 Subtraction of Real Numbers 1.7 Multiplication and Division of Real Numbers 1.8 Exponents and Order of Operations	Video: How to Multiply and Divide Fractions in Algebra For Dummies Video: Order Of Operations (Get a copy of the powerpoint presentations from Ali)
2	2. Linear Equations and Inequalities in One Variable 2.1 The Addition Property of Equality 2.2 The Multiplication Property of Equality 2.3 Solving Linear Equations 2.4 Formulas and Percents 2.5 An Introduction to Problem Solving 2.6 Problem Solving in Geometry 2.7 Solving Linear Inequalities	Video: Solving linear equations and inequalities in one variable (This is lesson 1 but there are a total of 8 in this series) Video: (Get a copy of the powerpoint presentations from Ali)
3	3. Linear Equations in Two Variables 3.1 Graphing Linear Equations in Two Variables 3.2 Graphing Linear Equations Using Intercepts 3.3 Slope 3.4 The Slope-Intercept Form of the Equation of a Line 3.5 The Point-Slope Form of the Equation of a Line	(Get a copy of the powerpoint presentations from Ali)
4	4. Systems of Linear Equations 4.1 Solving Systems of Linear Equations by Graphing 4.2 Solving Systems of Linear Equations by the Substitution Method 4.3 Solving Systems of Linear Equations by the Addition Method 4.4 Problem Solving Using Systems of Equations 4.5 Systems of Linear Equations in Three Variables	(Get a copy of the powerpoint presentations from Ali)
5	5. Exponents and Polynomials 5.1 Adding and Subtracting Polynomials 5.2 Multiplying Polynomials 5.3 Special Products 5.4 Polynomials in Several Variables 5.5 Dividing Polynomials 5.6 Long Division of Polynomials; Synthetic Division 5.7 Negative Exponents and Scientific Notation	???
6	6. Factoring Polynomials 6.1 The Greatest Common Factor and Factoring By Grouping 6.2 Factoring Trinomials Whose Leading Coefficient Is 1 6.3 Factoring Trinomials Whose Leading Coefficient Is Not 1 6.4 Factoring Special Forms 6.5 A General Factoring Strategy 6.6 Solving Quadratic Equations By Factoring	You can get a copy of the powerpoint presentation from Ali or can download from Blackboard 6.1 The Greatest Common Factor 6.1 Factoring By Grouping 6.2 Factoring Trinomials Whose Leading Coefficient Is 1 6.3 Factoring Trinomials Whose Leading Coefficient Is Not 1 6.4 A tutorial on factoring of special products 6.5 A General Factoring Strategy 6.6 Solving a quadratic equation by factoring
7	7. Rational Expressions 7.1 Rational Expressions and Their Simplification 7.2 Multiplying and Dividing Rational Expressions 7.3 Adding and Subtracting Rational Expressions with the Same Denominator 7.4 Adding and Subtracting Rational Expressions with Different Denominators 7.5 Complex Rational Expressions (Not included in the course) 7.6 Solving Rational Equations 7.7 Applications Using Rational Equations and Proportions 7.8 Modeling Using Variation	You can get a copy of the powerpoint presentation from Ali or can download from Blackboard 7.1 Rational Expressions 7.2 Multiplying and Dividing Rational Expressions 7.3 Adding Rational Expressions with the Same Denominator 7.3 Subtracting Rational Expressions with the Same Denominator 7.4 Finding the Least Common Denominator (LCD) of two rational functions 7.4 Adding and Subtracting Rational Expressions with Different Denominators (Part 1) 7.4 Adding and Subtracting Rational Expressions with Different Denominators (Part 2) 7.6 Solving Rational Equations
8	8. Basics of Functions 8.1 Introduction to Functions 8.2 Graphs of Functions 8.3 The Algebra of Functions 8.4 Composite and Inverse Functions	You can get a copy of the powerpoint presentation from Ali or can download from Blackboard
9	9. Inequalities and Problem Solving 9.1 Reviewing Linear Inequalities and Using Inequalities in Business Applications 9.2 Compound Inequalities 9.3 Equations and Inequalities Involving Absolute Value 9.4 Linear Inequalities in Two Variables	You can get a copy of the powerpoint presentation from Ali or can download from Blackboard
10	10. Radicals, Radical Functions, and Rational Exponents 10.1 Radical Expressions and Functions 10.2 Rational Exponents 10.3 Multiplying and Simplifying Radical Expressions 10.4 Adding, Subtracting, and Dividing Radical Expressions 10.5 Multiplying with More Than One Term and Rationalizing Denominators 10.6 Radical Equations 10.7 Complex Numbers
11	11. Quadratic Equations and Functions 11.1 The Square Root Property and Completing the Square; Distance and Midpoint Formulas 11.2 The Quadratic Formula 11.3 Quadratic Functions and Their Graphs 11.4 Equations Quadratic in Form 11.5 Polynomial and Rational Inequalities
12	12. Exponential and Logarithmic Functions 12.1 Exponential Functions 12.2 Logarithmic Functions 12.3 Properties of Logarithms 12.4 Exponential and Logarithmic Equations 12.5 Exponential Growth and Decay; Modeling Data
13	13. Conic Sections and Systems of Nonlinear Equations 13.1 The Circle 13.2 The Ellipse 13.3 The Hyperbola 13.4 The Parabola; Identifying Conic Sections 13.5 Systems of Nonlinear Equations in Two Variables
14	14. Sequences, Series, and the Binomial Theorem 14.1 Sequences and Summation Notation 14.2 Arithmetic Sequences 14.3 Geometric Sequences and Series 14.4 The Binomial Theorem

Additional Information

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