COURSE DESCRIPTION
Presents topics in functions, combinatorics, probability, statistics and algebraic systems. Lecture 3 hours per week.
GENERAL COURSE PURPOSE
The general purpose of this course is to give the student an appreciation for the uses of mathematics in the contemporary world and to develop an ability by the student to solve certain mathematical problems in a logical manner.
ENTRY LEVEL COMPETENCIES
Prerequisites are a satisfactory score on an appropriate proficiency examination and MTH 003 -"Algebra I", MTH 004 - "Algebra II", and geometry or equivalent. MTH 151 and MTH 152 do not have to be taken in sequence.
COURSE OBJECTIVES
Upon the completion of the course, the student should be able to:
A. analyze data and make inferences from data
B. apply counting principles
C. compute probabilities
D. describe the structure of algebraic systems
E. graph and apply linear functions
MAJOR TOPICS TO BE INCLUDED
A. Statistics
1. Organization and display of dataB. Combinatorics2. Measures of central tendency, such as mean, median, or mode
3. Measures of dispersion, such as range, variance, or standard deviation
4. Normal curve
5. Samples and populations
6. Inferential statistics, such as confidence intervals, hypothesis testing, or regression
1. Counting techniques, such as tree diagramsC. Probability2. Counting principles
a. Permutationsb. Combinations
1. Basic concepts such as theoretical probability, empirical probability, or oddsD. Algebraic systems2. Computation of probabilities
a. Negation or complementb. Sum or union
c. Conditional
1. Real number system axiomsE. Functions2. Modular arithmetic
3. Systems such as groups, rings, or fields
1. Coordinate GeometryF. Optional Topics2. Linear Functions
a. Graphingb. Applications
1. Systems of linear equations2. Linear programming
3. Exponential growth and decay
4. Matrices
Revision
3- 2/21/02