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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Solving Systems Graphically

## I. COURSE DESCRIPTION

A developmental course covering second year algebra.

## II. PREQUSITES

Successful completion of MATH 3 or appropriate score on the placement test. Students will not be allowed in the course without the required prequisites.

## III. INTRODUCTION

This course is designed to introduce and develop basic algebraic concepts and skills listed
in the outline below. A student must have an 80% average to complete the course successfully and receive a grade of "S" - satisfactory, otherwise the student will receive a grade of "R" - reenroll, or "U" - unsatisfactory and have to repeat the course.

## IV. INSTRUCTIONAL MATERIALS

Textbook: BEGINING ALGEBRA by Miller and O'Neill; McGraw Hill, 2004
ISBN 0-07-252360-3 REQUIRED
Graphing or scientific calculator REQUIRED
Student's Solution Manual, ISBN 0-07-252352-2 OPTIONAL
See Section IX for material available in the Math Lab and LRC.

## V. MATERIAL TO BE COVERED

 Unit I Chapter 2 (omit 2.8) 2 weeks Unit II Chapter 3 (omit 3.4) 2.5 weeks Unit III Chapter 5 3 weeks Unit IV Chapter 6, 7.1, 7.2 3 weeks Unit V Chapter 9 2 weeks Unit VI A.1 (on the book's web page), Chapter 10 2.5 weeks

## VI. BASIC CONCEPTS

 Unit 1 Linear Equations in Two and Three Variables2.1 Linear Equations in Two Variables 2.2 Slope of a Line 2.3 Equations of a Line 2.4 Applications of Linear Equations and Graphing 2.5 Systems of Equations in Two Variables 2.6 Applications of Systems of Linear Equations in Two Variables 2.7 Systems of Linear Equations in Three Variables 2.8 OMIT Unit II Linear Equations, Linear Inequalities, and Geometry 3.1 Introduction to Relations 3.2 Introduction to Functions 3.3 Graphs of Basic Functions 3.4 OMIT 3.5 Variation Unit III Radicals and Complex Numbers 5.1 Definition of an nth - Root 5.2 Rational Exponents 5.3 Properties of Radicals 5.4 Addition and Subtraction of Radicals 5.5 Multiplication of Radicals 5.6 Rationalization 5.7 Radical Equations 5.8 Complex Numbers Unit IV Factoring and Quadratic Functions 6.1 Greatest Common Factor and Factoring by Grouping 6.2 Factoring Trinomials 6.3 Factoring Binomials 6.4 Zero Product Rule 6.5 Completing the Square and Square Root Property 6.6 Quadratic Formula 6.7 Equations Quadratic in Form 7.1 Graphs of Quadratic Functions 7.2 Applications of Quadratic Functions Unit V More Equations and Inequalities 9.1 Compound Inequalities 9.2 Polynomial and Rational Inequalities 9.3 Absolute Value Equations 9.4 Absolute Value Inequalities 9.5 Linear Inequalities in Two Variables Unit VI Exponential and Logarithmic Functions A.1 Inverse Functions (on book's web page) 10.1 Exponential Functions 10.2 Logarithmic Functions 10.3 Properties of Logarithims 10.4 The Irrational Number e 10.5 Exponential and Logarithmic Equations

## VII Suggested Weekly Schedule - 15 Week Semester

 Week 1 2.1 – 2.5 Week 2 2.5 – 2.7 (omit 2.8) Week 3 Test Unit I, 3.1, 3.2 Week 4 3.2, 3.3 (omit 3.4) Week 5 3.5, Test Unit II, 5.1, 5.2 Week 6 5.3 – 5.5 Week 7 5.6 – 5.8 Week 8 Test Unit III, 6.1 – 6.4 Week 9 4.2 or 4.3, 4.4, 4.5 Week 10 6.5, 6.6 Week 11 Test Unit IV, 9.1, 9.2 Week 12 9.3 – 9.5 Week 13 Test Unit V, A.1, 10.1 Week 14 10.2 – 10.4 Week 15 10.5, Test Unit VI, Exam Review

Final Exam to be given during scheduled exam period.

## VIII Suggested Weekly Schedule - 10 Week Semester

 Week 1 2.1 – 2.6 Week 2 2.7 (omit 2.8), Test Unit I, 5.1, 5.2 Week 3 3.3 (omit 3.4),Test Unit II, 5.1, 5.2 Week 4 5.3 – 5.7 Week 5 5.8, Test Unit III, 6.1 – 6.4 Week 6 6.5 – 6.7, 7.1 Week 7 7.2, Test Unit IV, 9.1, 9.2 Week 8 9.3 – 9.5, Test Unit V, A.1 Week 9 10.1 – 10.4 Week 10 10.5, Test Unit VI, Exam

## IX ADDITIONAL MATERIAL AVAILABLE TO STUDENTS

TCC Student ID Required to Use the First 3 Resources
1. CD – ROM, available in the Math Lab
2. Complete Solutions Guide, available in the Math Lab
3. Videotapes available in LRC, Media Resources
4. Publisher's Web Site

## X NOTES TO THE INSTRUCTOR

1. Sections 2.1 – 2.4 should be taught as review.
2. Section 2.5 contains a lot of information. You may need several days to cover the material.
3. Section 3.2 contains a lot of information You may need several days to cover it. This section is rather rigorous and you may want to supplement the exercises with additional problems.
4. Sections 6.1 – 6.4 should be taught as review.