LSC-CyFair Math Department
Catalog Description:
In-depth study and applications of polynomial, rational, radical, absolute-value, piecewise defined, exponential and logarithmic functions, equations, inequalities, graphing skills and systems of equations using matrices. Additional topics such as sequences, series, probability, conics and inverses may be included.
Course Learning Outcomes:
The student will:
- Demonstrate and apply knowledge of properties of functions, including domain and range, operations, compositions, inverses and piecewise defined functions.
- Recognize, graph and apply polynomial, rational, radical, exponential, logarithmic and absolute value functions and solve related equations.
- Apply graphing techniques.
- Evaluate all roots of higher degree polynomial and rational functions.
- Recognize, solve and apply systems of linear equations using matrices.
- Solve absolute value, polynomial and rational inequalities.
Contact Hour Information
Credit Hours: 3
Lecture Hours: 3
Lab Hours: 0
External Hours: 0
Total Contact Hours: 48
Prerequisites:
MATH 0310 or placement by testing
Corequisites:
Course may be taken with concurrent enrollment in Math 0314
Required Materials
Textbook: Lial, Hornsby, Schneider, Daniels; Beginning and Intermediate Algebra and College Algebra: a Corequisite Solution, 1st ed.; Pearson
Required: Students must buy an access code to MyMathLab, an online course management system which includes a complete eBook; students will first need a Course ID provided by the instructor in order to register; online purchase of MyMathLab access at www.mymathlab.com;
ISBN for hard copies of MyMathLab Access Codes: 9780134896038
Hardbound text (College Algebra, 12th ed.) + 24 Month MyMathLab access, ISBN: 9780135263419
Note to instructors: When building a MyMathLab course from scratch, please search by the following ISBN not by the title or author of the text: 9780134896038
Calculator:
Calculators may be required for some assignments/assessments at the discrection of the Instructor. Refer to class syllabus for details.
Neither cell phones nor PDA’s can be used as calculators. Calculators may be cleared before tests.
Information for Math 0314/1314 Corequisite Program:
General Procedures for LSC-CyFair Corequisite Classes
Math 0314 Course Information Page
Outline Showing Alignment of Math 0314/0315 and Math 1314
Formulas:
There is a collection of facts, formulas and identities from this course that students should be expected to memorize because having them at ready recollection is essential for their success in future classes. Instructors should design test items that require these formulas in order to assess whether they have been learned. Students must not be allowed to bring these to the test on a formula sheet nor should instructors provide these formulas to them.
Click here for required college algebra formulas.
Textbook Sections
In some sections, not all objectives are covered. Required objectives are listed below. To clarify, examples that accompany objectives that can be skipped are listed. Instructors may cover additional objectives at their discretion. Although instructors may not necessarily assign all of the problems in the Suggested Exercise Blocks, in order to demonstrate proficiency in the learning outcomes of this course, students should be able to do any of the problems in these lists.
Suggestions for Writing College Algebra Exams
Especially for new faculty, these suggestions my prove helpful in helping to plan and prepare exams in College Algebra.
| Section | Objectives to Cover | Examples to Skip | Suggested Exercises |
|---|---|---|---|
| 1.3 Complex Numbers | - Basic Concepts of Complex Numbers - Operations on Complex Numbers |
None | 11 - 84, 89 - 100 |
| 1.4 Quadratic Equations | - The Zero-Factor Property - The Square Root Property - Completing the Square - The Quadratic Formula - Solving for a Specified Variable |
7,9 | 13 - 48, 51 - 65, 71 - 78 |
| 1.5 Applications and Modeling with Quadratic Equations | - Geometry Problems - the Pythagorean Theorem - Height of a Projected Object |
4 | 1 - 48 |
| 1.6 Other Types of Equations and Applications | - Rational Equations - Equations with Radicals - Equations with Rational Exponents - Equations Quadratic in Form |
3 | 6 - 10, 17 - 36, 45 - 100 |
| 1.7 Inequalities | - Linear Inequalities - Three-part Inequalities - Quadratic Inequalities - Rational Inequalities |
None | 13 - 24, 29 - 52, 55 - 78 |
| 1.8 Absolute Value Equations and Inequalities |
- Basic Concepts |
4, 5, 6 | 9 - 66 |
| 2.1 Rectangular Coordinates and Graphs | - The Distance Formula - The Midpoint Formula - Equations in Two Variables |
1, 3, 4, 6, 7 | 15 - 22, 35 - 40, 47 - 58 |
| 2.2 Circles | - Center-Radius Form - General Form |
6 | 11 - 38 |
| 2.3 Functions | - Relations and Functions - Domain and Range - Determining Whether Relations are Functions - Function Notation - Increasing, Decreasing and Constant Functions |
None | 11 - 96 |
| 2.5 Equations of Lines and Linear Models | - Point Slope Formula - Slope Intercept Form - Vertical and Horizontal Lines - Parallel and Perpendicular Lines |
7, 8 | 11 - 31, 34 - 43, 45 - 58 |
| 2.6 Graphs of Basic Functions | - Continuity - The Identity, Squaring and Cubing Functions - The Square Root and Cube Root Functions - The Absolute Value Function - Piecewise Defined Functions (Skip Greatest Integer Function) - The relation x = y2 |
3, 4 | 1 - 5, 7 - 42 |
| 2.7 Graphing Techniques | - Stretching and Shrinking - Reflecting - Symmetry - Even and Odd Functions - Translations |
None | 11 - 94, 103, 104 |
| 2.8 Function Operations and Composition | - Arithmetic Operations on Functions - Composition of Functions and Domain |
4 | 11 - 24, 33 -40, 57 - 64, 73 - 88, 93 - 96 |
| 3.1 Quadratic Functions and Models | - Polynomial Functions - Quadratic Functions - Graphing Techniques - Completing the Square - The Vertex Formula |
6 | 11 - 50, 57, 58 |
| 3.2 Synthetic Division | - Synthetic Division (skip Division Algorithms) - Remainder Theorem - Potential Zeros of Polynomial Functions |
None | 7 - 24, 33 - 64 |
| 3.3 Zeros of Polynomial Functions | - Factor Theorem - Rational Zeros Theorem |
4, 5, 6, 7 | 9 - 26, 31 - 34, 39 - 52 |
| 3.4 Polynomial Functions: Graphs, Applications and Models | - Graphs of f(x) = axn - Graphs of General Polynomial Functions - Behavior at Zeros - Turning Points and End Behavior - Graphing Techniques |
5, 6, 7, 8 | 1 - 46, 71 - 88 (questions 75 - 82, use the zero feature in the TI 83/84) |
| 3.5 Rational Functions: Graphs, Applications and Models | - The Reciprocal Functions f(x) = 1/x - The Function f(x) = 1/x2 |
5, 6, 7, 8, 9, 10 | 1 - 28, 37 - 46 (identify vertical asymptotes only), 61 - 100 (identify zeroes and vertical asymptotes only) |
| 4.1 Inverse Functions | - One-to-one Functions - Inverse Functions - Equations of Inverses |
9 | 1, 2, 11 - 28, 41 - 82 |
| 4.2 Exponential Functions | - Exponents and Properties - Exponential Functions - Exponential Equations - Compound Interest - The Number e and Continuous Compounding |
11 | 11 - 106 |
| 4.3 Logarithmic Functions | - Logarithms - Logarithmic Equations - Logarithmic Functions - Properties of Logarithms |
7 | 11 - 92 |
| 4.4 Evaluating Logarithms and the Change of Base Theorem | - Common Logarithms - Natural Logarithms - Logarithms with Other Bases |
2, 3, 4, 5, 6, 7, 9 | 11 - 26, 79 - 90 |
| 4.5 Exponential and Logarithmic Equations | - Exponential Equations - Logarithmic Equations |
10, 11 | 7 - 84 |
| 4.6 Applications and Models of Exponential Growth and Decay | Select a Few of the Applications to Cover | 3, 5, 6 | Selected Problems from 9 - 22, 29 - 34, 39 - 42, 51 - 56 |
| 5.1 Systems of Linear Equations | - Linear Systems - Substitution Method - Elimination Method - Special Systems |
5, 6, 7, 8, 9 | 7 - 39 |
| 5.2 Matrix Solutions of Linear Systems |
- The Gauss-Jordan Method (Use the rref feature on a graphing calculator to row reduce matrices) |
7 - 48 (use the rref feature on a calculator to row reduce matrices) |
Factoring Review Videos
The following video links can help you review factoring methods that are used in this course and beyond:
Factoring the Greatest Common Factor - Introduction
Factoring the Greatest Common Factor - More Examples
Factoring by Grouping - Introduction
Factoring Trinomials by Grouping - Example 1
Factoring Trinomials by Grouping - Example 2
Factoring Trinomials by Grouping - Example 3
Factoring Trinomials by Grouping - Example with GCF
Factoring Trinomials with Multiple Variables by Grouping - Example 1
Factoring Trinomials with Multiple Variables by Grouping - Example 2
Factoring Trinomials When a=1 (Shortcut for Grouping Method)
Factoring a Difference of Squares - Introduction
Factoring a Difference of Squares - More Examples
Sum of Squares (Do Not Factor)
Factoring Sums & Differences of Cubes - Introduction
Factoring Sums of Cubes - More Examples
Factoring Differences of Cubes - More Examples
Factoring Overall Review & Methods
Solving Equations by Factoring - Introduction
Solving Equations by Factoring - More Examples
Suggested Review for Final Exam
This General Review can be used as a review / practice test for the Final Exam in College Algebra. Use of this review is optional.