Week Monday Tuesday Wednesday Thursday Friday
1 Course introduction. 1.1 Graphs of equations 1.2 Linear equations in one variable 1.3 Modeling with linear equations Test
2 1.4 Quadratic equations 1.5 Complex numbers 1.6 Other types of equations 1.7 Linear equations in one variable Test/early warn
3 2.1 Linear equations in two variables 2.2 Functions 2.3 Analyzing graphs of functions 2.4 A library of functions Midterm
4 Reviewed midterm 2.6 Combinations of functions 2.7 Inverse functions 3.1 Quadratic functions Test
5 3.2 Polynomials of higher degrees 3.3 Polynomial long division only + 3.4 Fundamental theorem of algebra 3.5 Mathematical models of variation 4.1 Rational functions and asymptotes Test
6 4.2 Graphs of rational functions 4.4 Conics 9.1 Systems of equations Graphing with Excel Test
7 Review test Finals Finals
• Outline:
MS 100 College Algebra
• Textbook:
Algebra and Trigonometry, Sixth edition [or edition in series with consent of instructor], ©2004, 0618317821. Larson & Hostetler, Houghton Mifflin
• Required materials:
Scientific calculator
• Office hours: TBA
Instructor: Dana Lee Ling.
Email: dleeling@comfsm.fm
Web site: http://www.comfsm.fm/~dleeling/math/algebra/m62/index.html
• Attendance: Exceeding four absences results in withdrawal from the course. A late is one third of an absence. Thus any combination of absences and lates that exceeds four will result in withdrawal. For example, thirteen lates would result in withdrawal.
• No betelnut in class nor on campus.
• Every Friday there is an evaluative instrument such as a quiz, test, or midterm examination.
Points will be given for homework, quizzes, tests, midterms, and the final.
Grading is based on the standard college policy: Obtain 90% of the points or more to obtain an A, 80% to 89% for a B, and so forth.
• Academic Honesty Policy: Cheating on an assignment, quiz, test, midterm, or final will result in a score of zero for that assignment, quiz, or examination. The course operates by necessity on a system of personal integrity and honor.
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
3. Perform operations with complex numbers.
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. Recognize graphs of circles, ellipses, parabolas, and hyperbolas.