Course Description: Students will be able to graph and solve equations, functions, and inequalities including those with complex roots; analyze functions, find inverse functions, and perform compositions of functions; sketch and analyze graphs of polynomials and mathematical models of variation; analyze rational functions and determine asymptotes; recognize graphs of conic expressions.

Course Prepared by: Dana Lee Ling

Purpose of Course

Degree Requirement: ___X___
Degree Elective: ______
Certificate: ______
Remedial: ______
Other: ______

Prerequisite Course:"C" grade in MS 098, by placement, or permission of instructor.

Date approved by Committee:__________
Date approved by President:__________

1. Program student learning outcomes
   Students will be able to:
   • define mathematical concepts, calculate quantities, estimate solutions, solve problems, represent and interpret mathematical information graphically, and communicate mathematical thoughts and ideas.
2. Course student learning outcomes
   Students will be able to:
   1. Graph and solve linear and quadratic equations and inequalities including those with complex roots.
   2. Evaluate and analyze functions and their graphs including combinations and compositions of functions.
   3. Sketch and analyze graphs of polynomial functions and mathematical models of variation.
   4. Determine the domains of rational functions, find asymtotes, and sketch the graphs of rational functions.
3. Specific student learning outcomes
   Students will be able to:
   1. Graph and solve linear and quadratic equations and inequalities including those with complex roots.
      1. Sketch the graph of an equation
      2. Solve linear, quadratic, polynomial, and radical equations.
      3. Perform operations with complex numbers.
      4. Solve linear, quadratic, polynomial, and radical inequalities.
   2. Evaluate and analyze functions and their graphs including combinations and compositions of functions.
      1. Find and use slopes of lines to write and graph linear equations in two variables.
      2. Evaluate functions and find their domains.
      3. Analyze the graphs of functions.
      4. Find arithmetic combinations and compositions of functions.
      5. Identify inverse functions graphically and find inverse functions algebraically.
   3. Sketch and analyze graphs of polynomial functions and mathematical models of variation.
      1. Sketch and analyze graphs of polynomial functions
      2. Use long division to divide polynomials
      3. Write mathematical models for direct, inverse, and joint variation.
   4. Determine the domains of rational functions, find asymtotes, and sketch the graphs of rational functions.
      1. Find the domains of rational functions.
      2. Find the horizontal and vertical asymptotes for graphs of rational functions.
      3. Recongnize graphs of circles, ellipses, parabolas, and hyperbolas.

4. Textbook:
   Algebra and Trigonometry, Sixth edition, ©2004, 0618317821. Larson & Hostetler, Houghton Mifflin
5. Required course materials: Scientific calculator.
6. Reference materials: TBD
7. Instructional costs: None anticipated at this time
8. Methods of Instruction: The course will be taught by lecture, class discussion.
9. Evaluation: Homework, tests, quizzes, a midterm, and a final exam will be given. A standard 90%=A, 80%=B, 70%=C, 60%=D Below 60%=F grading scale is recommended.
10. Credit by examination: None
11. Attendance policy: As per the current college catalog