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 nonlinear 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/noncontinuous, 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 TI83/84 Graphical Calculator (See Appendix B page AP4 –
AP10)
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 PiecewiseDefined 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: NonReal
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: InstructorCreated Exam (comprehensive) 