COLLEGE MATHEMATICS
SELF-PACED COURSE
1. About this Course
This course reviews the fundamentals taught in a college course for
This course is organized into seven topical chapters or modules that contain short video lessons, exercises, readings and other interactive resources. The material covered includes algebra and functions, counting and probability, data analysis and statistics, financial mathematics, geometry, logic and
"Through lectures that state basic concepts, wide-ranging exercises to reinforce understanding, and recommended readings to build mastery, you will learn and prepare for the CLEP exam. Mastering the topics presented in this course will allow you to transition to more sophisticated coursework in advanced science, mathematics, computer science, and statistics, says Professor Murphy.
This exam contains approximately 60 questions to be answered in 90 minutes. An online scientific (
The College Mathematics course is completely self-paced. There are no prerequisites to take this course, and it is entirely free. Any student who wants to save time and money while completing freshman year in college can take it.
2. About James Murphy
Dr. James Murphy is an applied mathematician. His research interests include harmonic analysis, machine learning, and the analysis of remote sensing data. Recent work has focused on fast algorithms for unsupervised learning and development of distance metrics for stochastic data models, with applications to hyperspectral imagery.
Dr. Murphy has taught at some of the world’s finest academic institutions, including the University of Chicago, the University of Maryland College Park, Duke University, and most recently at the Johns Hopkins University. His courses range from introductory statistics and precalculus to research topics courses for Ph.D. students. He was honored with the Aziz/Osborn Gold Medal
3. Required Knowledge and Skills
Questions on the College Algebra examination require candidates to demonstrate the following abilities in the approximate proportions indicated:
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Solving routine, straightforward problems (about 50 percent of the examination)
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Solving nonroutine problems requiring an understanding of concepts and the application of skills and concepts (about 50 percent of the examination)
4. Course Modules
Following are the main topics and percentages of the exam’s questions, mostly based on the College Board's description of the course:
Module 1: Algebra and Functions (25%)
Introduction
1.1 Equations, Exponents and Inequalities
1.2 Introduction to Functions
1.3 Domain and Range
1.4 Functions
1.5 Growth
Module 2: Counting and Probability (10%)
2.0 Introduction
2.1 Factorials and Combinatorics
2.2 Probability
Module 3: Data Analysis and Statistics (15%)
Introduction
3.1 Visual Analysis of Data
3.2 Statistics
3.3 Normal Distributions
3.4 Bivariate Data
Module 4: Financial Mathematics (20%)
Introduction
4.1 Basic Financial Mathematics
4.2 Interest
4.3 Present and Future Values
Module 5: Geometry (10%)
Introduction
5.1 Lines
5.2 Triangles
5.3 Quadrilaterals
5.4 Circles
Module 6: Logic and Sets (15%)
Introduction
6.1 Logical Statements
6.2 Set Theory
Module 7: Numbers (10%)
Introduction
7.1 Properties of Numbers
7.2 Elementary Number Theory
7.3 Scientific Notation and Unit Conversion
7.4 Absolute Value
5. How CLEP Works
Developed by the College Board, CLEP (College-Level Examination Program®) is the most widely accepted credit-by-examination program.
CLEP’s credits are accepted by 2,900 colleges and universities, according to the College Board. These tests assess college-level knowledge in 33 subject areas.
Modern States Education Alliance is the non-profit organization behind these edX-style courses. Its project is called “Freshman Year for Free” and its mission is to make college more accessible and affordable through free, high-quality online education.
• CLEP® College Mathematics: at a Glance
• 'Passing the CLEP and Learning with Modern States' orientation course