Length of Course
Semester-long
Short course ( Number of weeks )
Open entry/Open exit
Grading
Letter
Credit/No Credit
Grade Option (letter or Credit/No Credit)
1. Prerequisite (Attach Enrollment Limitation
Validation Form.)
Prerequisite: MATH 120 OR MATH 123 OR appropriate
score on the College Placement Test and other measures as appropriate.
2. Corequisite (Attach Enrollment Limitation
Validation Form.)
none
3. Recommended Prepa ration (Attach Enrollment
Validation Form.)
Recommended Preparation: READ 400 or 405.
4. Catalog Description (Include prerequisites/corequisites/recommended
preparation.)
125 Elementary Finite Mathematics (3) Three lecture hours
plus one hour by arrangement per week. Prerequisite: MATH 120 or 123 OR
appropriate score on the College Placement Test and other measures as
appropriate. Recommended Preparation: READ 400 or 405.
Introduction to finite mathematics. Includes systems of linear equations and
inequalities , matrices, set theory, logic, combinatorial techniques, elementary
probability, linear programming , and mathematics of finance. Places particular
emphasis on applications. (CSU/UC) (CAN MATH 12)
5. Class Schedule Description (Include
prerequisites/corequisites/recommended preparation.)
MATH 125 ELEMENTARY FINITE MATHEMATICS
Systems of linear equations and inequalities, matrices, set theory, logic,
elementary probability, linear programming, and mathematics of finance. Plus one
hour by arrangement per week. Extra supplies may be required. Prerequisite:
Satis factory completion of MATH 120 OR MATH 123 OR an equivalent course at a
post-secondary institution with a grade of C or higher OR appropriate score on
the College Placement Test and other measures as appropriate. Recommended
Preparation: completion of READ 400 or 405. (CSU/UC) (CAN MATH 12)
6. Course Objectives (Identify 5-8 expected learner
outcomes using active verbs.)
1. Construct appropriate linear models.
2. Interpret solutions to linear models in context.
3. Distinguish between linear and non-linear situations.
4. Model problems as a system of linear equations.
5. Solve systems of linear equations by application of algebraic and graphing
techniques .
6. Apply the Gauss-Jordan/echelon method to solve systems of linear equations.
7. Interpret the solutions to systems of linear equations in context of the
problem.
8. Apply matrix techniques to solve systems of equations.
9. Construct and interpret input-output models
10. Interpret appropriate problems as linear programming problems.
11. Solve linear programming problems using algebraic and graphical techniques
12. Apply finance formulas.
13. Interpret results of finance problems in context of the problem.
14. Diagram using Venn diagrams and trees
15. Distinguish between permutations and combinations.
16. Apply and interpret results of permutation and combination rules.
17. Define a sample space.
18. Calculate probability of an event.
19. Distinguish between independent and dependent events.
20. Apply appropriate rules of probability to solve a problem.
7. Course Content (Brief but complete topical
outline of the course that includes major subject
areas [1-2 pages]. Should reflect all course objectives listed above. In
addition, you may attach
a sample course syllabus with a timeline.)
A. Linear Functions
1. Slope and equations of a line
2. Graphs
3. Linear functions
4. Mathematical models and applications of linear functions
B. Systems of Linear Equations
1. Systems of two equations
2. Systems with three variables
3. Introduction to matrix representation of a linear system of equations
4. Gauss-Jordan/echelon method for general systems of equations
5. Applications
C. Matrices
1. Matrix operations
2. Multiplication of Matrices
3. The inverse of a matrix
4. Applications
D. Linear Programming: Graphical Method
1. Graphing linear inequalities
2. Solving linear programming problems graphically
3. Applications
E. Linear Programming: Simplex Method
1. Maximization problems
2. Minimization problems
F. Mathematics of Finance
1. Simple and Compound Interest
2. Future and Present Value of Annuity
3. Amortization
G. Sets and Counting
1. Sets
2. Venn diagrams
3. Fundamental Counting Principles
4. Permutations
5. Combinations
H. Probability
1. Introduction to probability
2. Basic concepts of probability
3. Compound events: union, intersection, and complement
4. Conditional probability
5. Independent and dependent events
8. Representative Instructional Methods (Describe
instructor-initiated teaching strategies that will assist students in meeting
course objectives. Include examples of out-of-class assignments, required
reading and writing assignments, and methods for teaching critical thinking
skills.)
a. Out-of-class assignments: students will need to
complete as signed problems and projects.
b. Reading assignments: Instructor will assign text
readings for discussion of a topic in class.
c. Writing assignments:
1. Students will submit written homework assignments.
2. Students may be assigned papers including mathematical modeling.
d. Critical thinking:
1. Lecture/discussion to understand problem-solving process.
2. Students will practice critical thinking in small group problem solving.
3. Students will evaluate proposed solutions in light of constraints of the
problem.
e. Resources available on CD and the internet may be used
to augment the text.
9. Representative Methods of Evaluation (Describe
measurement of student progress toward course objectives. Courses with required
writing component and/or problem-solving emphasis must reflect critical thinking
component. If skills class, then applied skills.)
a. Written in dividual assignments and/or journal- to
demonstrate individual student progress toward objectives.
b. Small group presentations - to demonstrate student participation in
problem-solving process
c. Written exams/quizzes - to reflect student knowledge of vocabulary, concepts,
and application of concepts to problem-solving as presented in lectures and
discussion, small group sessions, and text readings.
d. Final Examination - to reflect student knowledge of vocabulary, concepts, and
applications of concepts to problem-solving as presented in lectures and
discussions, small group sessions, and text readings.
e. Participation - to reflect student involvement in class discussions, small
group sessions and presentations, etc.
10. Representative Text Materials (With few
exceptions, texts need to be current. Include publication dates.)
Texts similar to but not limited to:
Barnett, Zeigler, Byleen. Finite Mathematics for Business, Life, and Social
Sciences, 8^th ed, 2002.
Prepared by:_______________________
(Signature) Linda Phipps/Cheryl Gregory
Submission Date:__________________________
