- Basic Course Information
- Math 0303 Course Description: A study of relations and functions, inequalities, algebraic expressions and equations (absolute value, polynomial, radical, rational), with a special emphasis on linear and quadratic expressions and equations. This course will not apply toward graduation requirements and will not transfer.
- Math 1314 Course Description: An in-depth study and application of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations using matrices. Additional topics such as sequences, series, probability, and conics may be included.
- Any required prerequisites: Students must have the appropriate placement test score.
- Online course content is administered through the college’s learning management system (LMS), Moodle, also called eCampus. A link to Moodle can be found on mywtc.edu or the college’s home page, www.wtc.edu (the big M with a graduation cap).
- Student Learning Outcomes
- Define, represent, and perform operations on real numbers.
- Recognize and apply polynomials to solve related equations.
- Recognize, solve and apply system of linear equations using matrices.
- Define, represent, and perform operations on complex numbers.
- Recognize and use algebraic (field) properties, concepts, procedures (including factoring), and algorithms to combine, transform and evaluate absolute value, polynomial, radical and rational expressions.
- Identify, recognize, apply and solve absolute value, polynomial, radical, and rational equations.
- Identify and solve absolute value and linear inequalities.
- Recognize, understand, and analyze features of functions.
- Model, interpret and justify mathematical ideas and concepts using multiple representations.
- Demonstrate and apply knowledge of properties of functions, including domain and range, operations and compositions.
- Apply graphing techniques.
- Evaluate all roots of higher degree polynomial and rational functions.
- Demonstrate and apply knowledge of inverses.
- Recognize and apply exponential and logarithmic functions and solve related equations.
- Connect and use multiple strands of mathematics in situations and problems, as well as in the in the study of other disciplines.
- Course Requirements
- Major Requirements—All major requirements must be proctored.
- In-Class Participation
- Unit Exams
- Midterm Exam
- Final Exam
- Minor Requirements
- Binder Checks
- Testing Requirements
- Students are NOT allowed to use their book or notes of any kind while completing major requirements, with the exception of In-Class Participation.
- Information on Books and Other Course Materials
- Required Book: Essentials of College Algebra, 11th edition by Lial, Hornsby, Schneider, and Daniels. Book ISBN: 978-0-321-91225-1
- Calculators: Students must have a calculator that provides them with the ln (natural log) function key. A TI-84 or higher is strongly recommended. However, the TI-89, TI-Inspire with CAS or any other calculator with CAS capability are not permitted.
- Other Policies, Procedures and important dates: Please refer to the WTC Course Catalog for the following:
- Campus Calendar
- Final exam schedule
- How to drop a class
- Withdrawal information
- Student Conduct
- Academic Integrity
- Class Attendance
- Students with disabilities
- Planned Course of Study
Chapters and Sections to be covered throughout the semester
Review of Basic Concepts
R.2 Real Numbers and Their Properties
R.4 Factoring Polynomials
R.5 Rational Expressions
R.6 Rational Exponents
R.7 Radical Expressions
Ch. 1—Equations and Inequalities
1.1 Linear Equations
1.2 Applications and Modeling with Linear Equations
1.3 Complex Numbers
1.4 Quadratic Equations
1.5 Applications and Modeling with Quadratic Equations
1.6 Other Types of Equations and Applications
1.8 Absolute Value Equations and Inequalities
Ch. 2—Graphs and Functions
2.1 Rectangular Coordinates and Graphs
2.4 Linear Functions
2.5 Equations of Lines and Linear Models
2.6 Graphs of Basic Functions
2.7 Graphing Techniques
2.8 Function Operations and Composition
Ch. 3—Polynomial and Rational Functions
3.1 Quadratic Functions and Models
3.2 Synthetic Division
3.3 Zero of Polynomial Functions
3.4 Polynomial Functions: Graphs, Applications, and Models
3.5 Rational Functions: Graphs, Applications, and Models
Ch. 4—Inverse, Exponential, and Logarithmic Functions
4.1 Inverse Functions
4.2 Exponential Functions
4.3 Logarithmic Functions
4.4 Evaluating Logarithms and the Change-of-Base Theorem
4.5 Exponential and Logarithmic Equations
4.6 Applications and Models of Exponential Growth and Decay
Ch. 5—Systems and Matrices
5.1 Systems of Linear Equations
5.6 Systems of Inequalities and Linear programming
5.7 Properties of Matrices
5.8 Matrix Inverses
Disclaimer: Schedule and content is subject to change at the instructor’s discretion.
August 20, 2018