eSACS

PREREQUISITES: Demonstrated competency through appropriate assessment or successful completion with a grade of “C” or higher of MATH 043 - Intermediate Algebra 
PROGRAM: Mathematics
CREDIT HOURS MIN: 3
LECTURE HOURS MIN: 3
DATE OF LAST REVISION: Fall 2022

Presents an in-depth study of functions, quadratic, polynomial, radical, and rational equations, radicals, complex numbers, absolute value equations and inequalities, rational fractions and exponential and logarithmic functions. MATH 136 and MATH 137 together comprise a standard two-semester college algebra and trigonometry course.

MAJOR COURSE LEARNING OBJECTIVES: Upon successful completion of this course, the student will be expected to:

1. Determine, and sketch functions using techniques of transformations
2. Simplify and perform operations on complex numbers
3. Solve radical equations
4. Solve rational and absolute value equations and inequalities
5. Solve quadratic equations and inequalities using multiple techniques, solve equations that are quadratic in form.  Determine the vertex and sketch a quadratic function
6. Apply the properties of logarithms to solve exponential and logarithmic equations
7. Solve polynomial equations and sketch polynomial functions
8. Sketch exponential and logarithmic functions
9. Find the zeros and vertical asymptotes of rational functions
10. Determine composite and inverse functions
11. Use function notation, determine domain and range of functions, find properties of functions (increasing, decreasing, maximum and minimum) and simplify difference quotients
12. Solve a variety of application problems in the above areas
13. Use appropriate technology to enhance the course objectives.

COURSE CONTENT: Topical areas of study include -  

• Radicals and rational expressions
• Graphs of equations and functions
• Complex Numbers
• Exponential and logarithmic functions
• Absolute value equations and inequalities
• Quadratic, polynomial, rational and radical equations

 
GRADING POLICY

This course requires a statewide outcomes assessment

For all course exams, the following conditions must be met:

• No student-provided materials
• No open books
• No take-home

For the final exam:

• Must be comprehensive
• Weighted more than a chapter test