College Algebra Syllabus

Student Learning Outcomes

Students will be able to:

Polynomial Functions and Models

1. Identify the characteristics of a quadratic function (i.e., vertex , axis of
symmetry, and direction of concavity).
2. Compute roots/ zeroes of a polynomial function by factoring techniques.
3. Estimate the roots/zeroes of a polynomial function.
4. Solve polynomial inequalities.
5. Solve systems of linear equations using matrices and determinants.
6. Solve systems of linear inequalities .
7. Solve systems of non-linear equations.

Rational Functions and Models

8. Simplify rational expressions using the division algorithm .
9. Identify points of discontinuity of a rational function.
10. Identify vertical/horizontal asymptotes and end behavior of rational functions.
11.Solve rational inequalities.

Power Functions and Models

12.Solve radical equations and equations with fractional exponents.
13. Identify the domain, range of power functions; determine if the function has an
inverse. Find the inverse and its domain and range, if appropriate.

Exponential and Logarithmic Functions and Models

14.Define exponential and logarithmic functions.
15.Simplify exponential and logarithmic expressions using their properties
16.Solve exponential and logarithmic equations.
17. Formulate and apply exponential and logarithmic functions to a contextual
situation.

It is expected that the following student learning outcomes
(Characteristics of Functions) will be embedded as appropriate in the study
of the family of functions listed above.

• Identify the domain and range of a function.

• Determine intervals on which functions are decreasing/increasing,
continuous/non-continuous, or piecewise.

• Identify functions from multiple sources of information (i.e., verbal descriptions,
graphs, equations, and tables of values ).

• Relate the effect of transformations (i.e., translations, rescaling, or reflections)
on graphs of functions and their corresponding equations.

• Perform operations (i.e., addition , subtraction , multiplication and division) on
functions, including the composition of functions.

• Decompose a function into a composition of two or more functions .

• Formulate and apply a function to a contextual situation.

• Determine the conditions under which a function has an inverse.

• Identify the inverse of a function from multiple representations.

• Reformulate a given function into various representations (i.e., verbal,
graphical, algebraic, or tabular).

 Class Schedule – Math140 Truman College – Spring 2009 Week Date Topic 1 Tuesday January 20 Information and Policies Introduction to MML Using the TI-83/84 Graphical Calculator (See Appendix B page AP-4 – AP-10) Review ~ Introduction to Functions and Graphs 1.1 Numbers, Data, and Problem Solving Thursday January 22 1.2 Data Trends: Visualization of Data 1.3 Functions and Their Representations 1.4 Types of Functions and Their Rates of Change Chapter Review 2 Tuesday January 27 2.1 Linear Functions and Models 2.2 Equations of Lines Thursday January 29 2.3 Linear Equations 3 Tuesday February 3 2.4 Linear Inequalities Thursday February 5 2.5 Piecewise-Defined Functions Chapter Review 4 Tuesday February 10 Exam #1 (will cover Chapters 1 and 2) Thursday February 12 3.1 Quadratic Concepts: Functions and Models 3.2 Quadratic Equations and Problem Solving 3.3 Quadratic Inequalities 5 Tuesday February 17 3.4 Transformation of Functions Chapter Review Thursday February 19 4.1 Nonlinear Functions and Their Graphs 4.2 Polynomial Functions and Models 6 Tuesday February 24 Exam #2 (will cover Chapter 3) Thursday February 26 4.3 Real Zeros of Polynomial Functions 7 Tuesday March 3 4.4 The Fundamental Theorem of Algebra: Non-Real Roots of a Polynomial Equation Thursday March 5 4.5 Rational functions and models 8 Tuesday March 10 4.6 Polynomial and Rational Inequalities Thursday March 12 4.6 Polynomial and Rational Inequalities 9 Tuesday March 17 4.7 Power Functions and Radical Equations Chapter Review Thursday March 19 5.1 Combining Function 10 Tuesday March 24 Exam #3 (will cover Chapter 4) Thursday March 26 5.2 Inverse Functions 5.3 Exponential Functions 11 Tuesday March 31 5.4 Logarithmic Functions 5.5 Properties of Logarithms Thursday April 2 5.6 Exponential and Logarithmic Equations April 7 April 9 NO SCHOOL - SPRING BREAK 12 Tuesday April 14 5.7 Constructing Nonlinear Models Chapter Review Thursday April 16 6.1 Functions and Equations in Two Variables 6.2 Systems of Equations and Inequalities in Two Variables 13 Tuesday April 21 Exam #4 (will cover Chapter 5) Thursday April 23 6.3 System of Linear Equations in Three Variables 14 Tuesday April 28 6.4 Solutions to Linear Systems Using Matrices 6.5 Properties and Applications of Matrices Thursday April 30 6.6 Inverse of Matrices 15 Tuesday May 5 6.7 Determinants Chapter Review Thursday May 7 Optional: CHAPTER R.2 ~ The Equations and Graphs of the Circles 16 Tuesday May 12 Final Exam Review Thursday May 14 FINAL EXAM (Part 1 & Part 2) Part 1: Departmental Exam of 10 Multiple Choice Questions (comprehensive) Part 2: Instructor-Created Exam (comprehensive)
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