Course Outline

Math 99 BC – Spring 2008

Class 1 – Monday, January 14

Lecture: Course Information (Syllabus)

About Mathematics (handout)

Basic Operations (1.2 Concept 1)

Homework: Questions

Review Set 1

Class 2 – Wednesday, January 16

Lecture: Division with Remainder

Division by zero (handout)

List of factors of a number

Prime-Factorization of a Number

Exponents (1.2 Concept 3)

Square Roots (1.2 Concept 4)

Order of Operations (1.2 Concept 5 and handout)

Integers: positive and negative numbers (1.3, 1.4, 1.5)

Absolute value (1.1 Concept 6)

Ordering of real numbers (1.1 Concept 4)

The Real Number System - all 9 axioms (1.6)

Homework: Problem Set 1

Quiz 1 will cover

Division with remainder

Division by zero

List of factors of a number

Order of Operations on Natural Numbers

Evaluating Algebraic Expressions with Natural Numbers

Class 3 – Wednesday, January 23

Lecture: Algebraic Expressions 1 – Definition, Evaluating (1.2 Concept 2 and handout)

Algebraic Expressions 2 – Simplifying

Combining like terms (1.6 Concept 5)

Multiplication of algebraic expressions, FOIL (5.6 Concept 1)

Definition of equation (2.1 Concept 1)

Solutions of equations (2.1 Concept 1 and handout)

Solutions of equations in two variables (3.2 Concept 1 and handout)

Conditional equations, identities, contradictions (2.2 Concept 3)

Graphing inequalities (2.7 Concept 1)

Interval notation (2.7 Concept 2)

Solutions of Inequalities (2.7 Concept 1)

Solutions of Systems of Equations (4.1 Concept 1)

Quiz 1

Quiz 2 will cover:

all material covered for Quiz 1

operations on positive and negative numbers

evaluating algebraic expressions

solutions of equations, inequalities, and systems of equations

Homework: Problem Sets 2 and 3

Class 4 – Monday, January 28

Lecture:

Solving Linear Equations (2.1, 2.2, and 2.3)

Solving Linear Inequalities: (2.7)

Introduction to Polynomials (5.5 Concept 1)

Factoring 1 – part 1

Zero Product Rule (6.7 Concepts 1,2, and 3)

Factoring out the Greatest Common Factor or GCF (6.1 Concepts 1, 2, and 3)

The difference of squares theorem (6.5 Concept 1)

Homework: Problem Set 4

Handouts: Integers

Solving Linear Equations

Simplifying Algebraic Expressions

Class 5 – Wednesday, January 30

Lecture: Rational and Irrational numbers (1.1 Concept 3)

The number p (1.1 Concept 3)

Circumference and area of a circle (R.3 Concepts 1 and 2)

Definition of square roots (1.2 Concept 4)

Quiz 2

Handouts: Answers for Problem Sets 1, 2, 3, and 4

Exam 1 Information

Review for Exam 1

Class 6 – Monday, February 4

Lecture: Factoring by completing the square (handout)

Irrational numbers such as square root of 5

Handouts: Completing the square

Class 7 – Wednesday, February 6

Exam 1

Quiz 3 will cover the following topics:

Factoring
(GCF, factoring out -1, difference of squares theorem),

linear equations and inequalities

factoring by completing the square

Class 8 – Monday, February 11

Lecture: Graph of an equation (handout)

Graphing straight lines by plotting points (3.2 Concept 2)

Perimeter and Area (handout, R.3 Concepts 1,2)

The Triangle Inequality

Homework: Problem Set 5

Handouts: Worksheet on Graphs of Equations

Class 9 – Wednesday, February 13

Lecture: Multiple operations on polynomials (5.5, 5.6)

Simplifying Rational Expressions (7.1)

Factoring by Completing the Square 2 (linear coefficient is odd) (handout)

Solving systems of linear equations by elimination (4.3)

Homework: Problem Sets 6, 7

Class 10 – Monday, February 18

Lecture: Rational Expressions (7.1, 7.2, 7.3, and 7.4)

Functions (8.2 Concepts 1, 3)

Homework: Problem Set 8

Class 11 – Wednesday, February 20

Lecture: Adding and subtracting rational expressions (7.3, 7.4)

Addition and subtraction of radical expressions (11.4)

Multiplication of radical expressions (11.5)

Quiz 4

Quiz 5 will cover:

all material covered on Quizzes 1, 2, and 4 (Quiz 3 was cancelled)

factoring (GCF, difference of squares, by completing the square)

rational expressions (simplify, add, subtract, multiply, divide them)

radical expressions

graphing straight lines

systems of linear equations and applications

Homework: Problem Sets 9 and 10

Class 12 – Monday, February 25

Lecture: Rationalizing the denominator in radical expressions (11.6)

Graphing a straight line using the slope-intercept form of its equation (3.4 Concept 2)

Homework: Problem Set 11

Handouts: Rational Expressions (Lecture Notes)

Radical Expressions (Lecture Notes)

Answers to Problem Sets 6, 7, 8, 9, and 10

Class 13 – Wednesday, February 27

Lecture: Review of Formulas (2.6)

The slope-intercept form of a line (3.4)

Writing equation of a line, given a point and the slope (3.5)

Quiz 5

Handouts: Review for Exam 2 (same as Midterm Exam)

Class 14 – Monday, March 3, 2008

Lecture: Performing multiple operations on radical expressions (handout)

Parallel and Perpendicular lines (3.3 Concept 3)