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Syllabus for College Algebra

Course Information
Prerequisite(s):
 
Grade of C or better in Mathematics 99 or Mathematics 112, or placement test, or
consent of Department Chairperson
Credit Hours: Four (4)
Truman College General Education Goals
Truman College
General Education
Goals for this course:

 
• Goal 2 –The student performs effectively in the workplace and has the ability to
work and make effective use of a wide variety of current technologies.
• Goal 4 – The student demonstrates the ability to think critically, abstractly, and
logically.
• Goal 6 – The student demonstrates the ability to work independently.
Course Description
College Algebra: Math 140 emphasizes the notion of a function as a unifying concept. The following
families of functions and their characteristics are examined within this course:
polynomial, rational, exponential and logarithmic functions. Additional topics will
include solving inequalities and systems of non-linear equations. Technology and
writing assignments will be used throughout the course as appropriate. Applications
involving problem-solving skills will be emphasized throughout the course.
 
Course Objectives
This course will
provide you to:
 
1. Analyze the graphs of various families of functions.
2. Apply the models and characteristics of various families of functions to scenarios
in order to solve real-world (contextual) problems.
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 – Fall 2009
Week Date Topic
1 Monday
August 24
Information and Policies
Introduction to MML
Using the TI-83/84 Graphical Calculator (See Appendix B page AP-4 – AP-10)
Review ~ Factoring
1.1 Numbers , Data, and Problem Solving
 
Wednesday
August 26
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 Monday
August 31
2.1 Linear Functions and Models
2.2 Equations of Lines
Wednesday
Sept. 2
2.3 Linear Equations
3 Monday
Sept. 7
NO SCHOOL – Labor Day Holiday
 
Wednesday
Sept. 9
 
2.4 Linear Inequalities
2.5 Piecewise-Defined Functions
Chapter Review
4 Monday
Sept. 14
Exam #1 (will cover Chapters 1 and 2)
 
Wednesday
Sept 16.
3.1 Quadratic Concepts: Functions and Models
3.2 Quadratic Equations and Problem Solving
5 Monday
Sept. 21
3.3 Quadratic Inequalities
3.4 Transformation of Functions
Chapter Review
Wednesday
Sept. 23
4.1 Nonlinear Functions and Their Graphs
4.2 Polynomial Functions and Models
6 Monday
Sept. 28
Exam #2 (will cover Chapter 3)
 
Wednesday
Sept. 30
4.3 Real Zeros of Polynomial Functions
 
7 Monday
October 5
4.4 The Fundamental Theorem of Algebra: Non-Real Roots of a Polynomial Equation
 
Wednesday
October 7
4.5 Rational functions and models
 
8 Monday
October 12
4.6 Polynomial and Rational Inequalities
 
Wednesday
October 14
4.7 Power Functions and Radical Equations
Chapter Review
9 Monday
October 19
5.1 Combining Function
 
Wednesday
October 21
5.2 Inverse Functions
 
10 Monday
October 26
Exam #3 (will cover Chapter 4)
 
Wednesday
October 28
5.3 Exponential Functions
 
11 Monday
November 2
5.4 Logarithmic Functions
5.5 Properties of Logarithms
Wednesday
November 4
5.6 Exponential and Logarithmic Equations
 
12 Monday
November 9
5.7 Constructing Nonlinear Models
Chapter Review
Wednesday
November 11
6.1 Functions and Equations in Two Variables
6.2 Systems of Equations and Inequalities in Two Variables
13 Monday
November 16
Exam #4 (will cover Chapter 5)
 
Wednesday
November 18
6.3 System of Linear Equations in Three Variables
 
14 Monday
November 23
6.4 Solutions to Linear Systems Using Matrices
6.5 Properties and Applications of Matrices
Wednesday
November 25
6.6 Inverse of Matrices
 
15 Monday
November 30
6.7 Determinants
Chapter Review
Wednesday
December 2
Optional: CHAPTER R.2 ~ The Equations and Graphs of the Circles
 
16 Monday
December 7
Final Exam Review
 
Wednesday
December 9
 
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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