Syllabus Sections
Publish Date
05/26/2012 09:12:29
Elementary Algebra
MATD-0370
Summer 2012
05/29/2012 - 08/15/2012
Course Information
Section 037
Distance Learning
ONL RGC
Stephanie Fluke
lochbaum@austincc.edu
(512) 223.2092
Office Hours
No office hours have been entered for this term.
Course Requirements
- Orientation - start before classes begin in order to give you time to change courses if that is needed. http://www.austincc.edu/lochbaum/MATD0370.htm
-
Online work - in MyMathLab software at http://www.coursecompass.com
- Online Homework
- Online Quizzes
- Written Homework - assignments coordinated with each covered section of the textbook
-
Tests
- Test 1 - covers 1.1 - 2.6
- Test 2 - covers 3.1 - 4.3
- Test 3 - covers 4.4 - 5.7
- Test 4 - covers 6.1 - 7.4
- Test 5 - Final Exam - covers all material in the course
Readings
Required Materials:
- Text: Elementary Algebra, Concepts and Applications, 8th Edition, Bittinger & Ellenbogen; Pearson. (ISBN 0-321-61615-4)Hardback (ISBN 0-321-67373-5) Loose Leaf
- MyMathLab access: All new textbooks purchased at an ACC bookstore include MyMathLab access. It is not included with the purchase of a used book, and may not be included with a new book purchased at a different bookstore. Refer to the handout Information about MyMathLab.
Course Subjects
We will cover the following sections from Elementary Algebra: Concepts and Applications, 8th ed, by Bittinger and Ellenbogen.
1.1 Introduction to Algebra
1.2 The Commutative, Associative, and Distributive Laws
1.3 Fraction Notation
1.4 Positive and Negative Real Numbers
1.5 Addition of Real Numbers
1.6 Subtraction of Real Numbers
1.7 Multiplication and Division of Real Numbers
1.8 Exponential Notation and Order of Operations
2.1 Solving Equations
2.2 Using the Principles Together
2.3 Formulas
2.4 Applications with Percent
2.5 Problem Solving
2.6 Soving Inequalities
3.1 Reading Graphs, Plotting Points, and Scaling Graphs
3.2 Graphing Linear Equations
3.3 Graphing and Intercepts
3.4 Rates
3.5 Slope
3.6 Slope-Intercept Form
3.7 Point-Slope Form
4.1 Exponents and Their Properties
4.2 Polynomials
4.3 Addition and Subtraction of Polynomials
4.4 Multiplication of Polynomials
4.5 Special Products
4.6 Polynomials in Several Variables
4.7 Division of Polynomials (only Dividing by a Monomial)
4.8 Negative Exponents and Scientific Notation
5.1 Introduction to Factoring
5.2 Factoring Trinomials of the Type x2 + bx + c
5.3 Factoring Trinomials of the Type ax2 + bx + c
5.4 Factoring Perfect-Square Trinomials and Difference of Squares
5.5 Factoring: A General Strategy
5.6 Solving Quadratic Equations by Factoring
5.7 Solving Applications
6.1 Rational Expressions
6.2 Multiplication and Division
6.3 Addition, Subtraction, and Least Common Denominators
6.4 Addition and Subtraction with Unlike Denominators
6.6 Solving Rational Equations
6.7 Applicaitons Using Rational Equations and Proportions
7.1 Systems of Equations and Graphing
7.2 Systems of Equations and Substitution
7.3 Systems of Equations and Elimination
7.4 More Applications Using Systems
8.1 Introduction to Square Roots and Radical Expressions
8.2 Multiplying and Simplifying Radical Expressions
9.1 Solving Quadratic Equations: The Principle of Square Roots
9.3 The Quadratic Formula and Applications
Student Learning Outcomes/Learning Objectives
The following objectives are listed in a sequence ranging from the simple to the more complex. As such, this document should not be viewed as a chronological guide to the course, although some elements naturally will precede others. These elements should be viewed as mastery goals which will be reinforced whenever possible throughout the course.
Overall objectives:
- Students will feel a sense of accomplishment in their increasing ability to use mathematics to solve problems of interest to them or useful in their chosen fields. Students will attain more positive attitudes based on increasing confidence in their abilities to learn mathematics.
- Students will learn to understand material using standard mathematical terminology and notation when presented either verbally or in writing.
- Students will improve their skills in describing what they are doing as they solve problems using standard mathematical terminology and notation.
1. Description and classification of whole numbers, integers, and rational numbers using sets and the operations among them
- identify and use properties of real numbers
- simplify expressions involving real numbers
- evaluate numerical expressions with integral exponents
2. Polynomials
- distinguish between expressions that are polynomials and expressions that are not
- classify polynomials in one variable by degree and number of terms
- simplify polynomials
- add, subtract, multiply, and divide polynomials (including the use of long division techniques and the distributive law)
- factor polynomialsin one or more variables (including factoring out the greatest common factor, factoring by grouping, factoring trinomials in which the leading coefficient is one, factoring trinomials in which the leading coefficient is not one, and factoring the difference of two squares)
- understand and use the exponent laws involving integer exponents
- convert numbers into and out of scientific notation and perform multiplication and division with numbers written in scientific notation
3. Solve linear equations in one variable involving integral, decimal, and fractional coefficients and solutions
4. Solve and graph linear inequalities
5. Application problems
- write and evaluate linear expressions from verbal descriptions
- solve application problems which lead to one of the following types of equations: linear equations in one variable, systems of two linear equations in two variables, quadratic equations
- solve literal equations for a specified variable using addition and multiplication principles
- use given data to estimate values and to evaluate geometric and other formulas
- solve problems involving the Pythagorean theorem
6. Linear equations in two variables
- identify the relationship between the solution of a linear equation in two variables and its graph on the Cartesian plane
- understand and use the concepts of slope and intercept
- determine slope when two data points are given
- graph a line given either two points on the line or one point on the line and the slope of the line
- write an equation of a line given one point on the line and the slope of the line, or two points on the line
- identify lines given in standard, point-slope, or slope-intercept forms and sketch their graphs
- solve systems of linear equations
7. Quadratic equations
- find solutions to quadratic equations using the technique of factoringand using the principle of square roots
- recognize a need to use the quadratic formula to solve quadratic equations and solve quadratic equations by using the quadratic formula when simplification of square roots other than perfect squares is not needed
8. Description and classification of irrational numbers
- simplify perfect square radical expressions
- use decimal approximations for radical expressions
9. Rational expressions
- determine for which value(s) of the variable a rational expression is undefined
- simplify rational expressions containing monomials, binomials, and trinomials
- multiply and divide rational expressions containing monomials, binomials, and trinomials
- add and subtract rational expressions with like denominators
10. Geometry
- understand the difference between perimeter and area and be able to use formulas for these appropriately
- solve application problems involving angles and polygons
