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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

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
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
January 29
2.3 Linear Equations
3 Tuesday
February 3
2.4 Linear Inequalities
February 5
2.5 Piecewise-Defined Functions
Chapter Review
4 Tuesday
February 10
Exam #1 (will cover Chapters 1 and 2)
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
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)
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
March 5
4.5 Rational functions and models
8 Tuesday
March 10
4.6 Polynomial and Rational Inequalities
March 12
4.6 Polynomial and Rational Inequalities
9 Tuesday
March 17
4.7 Power Functions and Radical Equations
Chapter Review
March 19
5.1 Combining Function
10 Tuesday
March 24
Exam #3 (will cover Chapter 4)
March 26
5.2 Inverse Functions
5.3 Exponential Functions
11 Tuesday
March 31
5.4 Logarithmic Functions
5.5 Properties of Logarithms
April 2
5.6 Exponential and Logarithmic Equations
  April 7
April 9
12 Tuesday
April 14
5.7 Constructing Nonlinear Models
Chapter Review
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)
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
April 30
6.6 Inverse of Matrices
15 Tuesday
May 5
6.7 Determinants
Chapter Review
May 7
Optional: CHAPTER R.2 ~ The Equations and Graphs of the Circles
16 Tuesday
May 12
Final Exam Review
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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