MATH 124
FINITE MATH I
2008-2009 Catalog Data: MATH 124 Finite Math I (3-0) 3 ( Grade of C or better in MATH 045, or 1 unit of high school algebra and an ACT score of 19 or higher. Fundamentals of algebra; functions and graphs; linear functions; introduction to exponential and logarithmic functions; solving linear and quadratic equations; matrices
Textbook: Lial , Hungerford and Holcomb, Mathematics with Applications, 9th edition, Addison Wesley, 2007
Chapters: Chapter 1 Sections 1, 2, 3, 4, 5, 6, 7,
Covered: Chapter 2 Sections 1, 2, 3, 4, 5,
Chapter 4 Sections 1, 2, 3, 4
Chapter 6 Sections 1, 2, (3, 4 optional)
Chapter 7 Sections 1, 2, 3, (if time permits)
Goals: Upon completion of this course the student should be able to:
1. Use the laws of exponents, and manipulate and simplify algebraic expressions containing fractional exponents, negative exponents, radicals, and fractions.
2.
Solve linear, quadratic, and fractional equations.
3. Solve linear and quadratic inequalities.
4. Sketch graphs of linear and quadratic functions.
5. Work with logarithm and exponential functions.
6. Solve a system of linear equations using matrix techniques.
Topics: (Timeline based on MWF course and does not count a 4th day recitation)
I. Basic algebra(9 days):
a. Exponential notation and algebraic expressions
b. Multiplication of algebraic expressions
c. Factoring
d. Fractional expressions
e. Exponents and Radicals
f. First degree equations
II. Graphs, Lines and Inequalities(7 days):
a. Graphs
b. Equations of Lines
c. Linear models
d. Linear inequalities
III Quadratic equations and inequalities (3 days)
a. Quadratic equations
b. Quadratic inequalities
IV Functions and graphs (8 days)
a. Functions
b. Graphs of Functions
c. Applications of Linear Functions
d. Quadratic Functions
e. Applications of Quadratic Functions
f. Polynomial Functions
V. Exponential and logarithmic functions(8 days):
a. Exponential functions
b. Logarithm functions
c. Applications of logarithms functions
d. Applications of Exponential functions
VI. Systems of
linear equations(4 days):
(remaining days to be spent on “optional” material below).
a. Eliminating a variable
b. The Gauss-Jordan Method
c. Matrix Operations (opt)
d. Matrix Products (opt)
VII Linear Programming (opt)
a. Graphing Linear Inequalities in Two Variables
b. Linear Programming: The Graphical Method
c. Applications of Linear Programming
Date Prepared: August, 2008