- Course Type CLEP
- Subject Science and Mathematics
- Level Introductory
- Length 7 Modules
- Video Length 7h 10m
- Reading Pages 1319
- Institution Modern States
ABOUT THIS COURSE
College Mathematics reviews the material typically taught in a college-level math course for nonmathematics majors and students in fields that don’t require advanced mathematics. The course builds skills in algebra and functions, counting and probability, data analysis and statistics, financial mathematics, geometry, logic and sets, and the real number system.
This is a free, self-paced Modern States course with no prerequisites. It is aligned to the CLEP® College Mathematics exam and is designed to prepare you to succeed on the test and earn college credit at no cost. During the exam, a scientific (non-graphing) calculator is available online.
Modern States originally developed this course in collaboration with James M. Murphy, now at Tufts University, Department of Mathematics. Dr. Dywayne A Nicely of The Ohio State University – Marion Campus supported course enhancements published in 2025.
Course Overview
College Mathematics Course Overview - Modern States
| Module | Topic | Video Length | Total pages of required reading |
| Module 1: Algebra and Functions (25%) 01:53:04 total video length 435 total reading pages |
1: Algebra and Functions | 0:01:24 | – |
| 1.1.1: Equations and Inequalities | 0:07:43 | 158 | |
| 1.1.2: The Quadratic Formula | 0:08:30 | 12 | |
| 1.1.3: Exponents and Logarithms | 0:17:10 | 112 | |
| 1.2: Introduction to Functions | 0:15:42 | 33 | |
| 1.3: Domain and Range | 0:18:27 | 16 | |
| 1.4.1: Graphing Functions | 0:10:18 | 38 | |
| 1.4.2: Transformations of Functions | 0:08:54 | 25 | |
| 1.4.3: Inverse Functions | 0:11:01 | 13 | |
| 1.5.1: Linear Growth | 0:04:44 | 13 | |
| 1.5.2: Exponential Growth | 0:09:11 | 15 | |
| 1: Summary | – | – | |
| Module 2: Counting and Probability (10%) 00:54:54 total video length 182 total reading pages |
2: Counting and Probability | 0:01:12 | – |
| 2.1.1: Factorials | 0:16:01 | 17 | |
| 2.1.2: Combinatorics | 0:09:51 | 17 | |
| 2.2.1: Probability Theory | 0:12:45 | 74 | |
| 2.2.2: Probability Examples | 0:15:05 | 74 | |
| 2: Summary | – | – | |
| Module 3: Data Analysis and Statistics (15%) 01:02:55 total video length 208 total reading pages |
3: Statistics and Data | 0:01:15 | – |
| 3.1: Visual Analysis of Data | 0:13:00 | 22 | |
| 3.2.1: Basic Statistical Theory | 0:12:52 | 83 | |
| 3.2.2: Basic Statistics Examples | 0:10:40 | 83 | |
| 3.3: Normal Distributions | 0:15:34 | 7 | |
| 3.4: Bivariate Data | 0:09:34 | 13 | |
| 3: Summar | – | – | |
| Module 4: Financial Mathematics (20%) 00:34:03 total video length 128 total reading pages |
4: Financial Mathematics | 0:00:41 | – |
| 4.1: Basic Financial Mathematics | 0:08:57 | 44 | |
| 4.2: Interest | 0:16:00 | 42 | |
| 4.3: Present and Future Values | 0:08:25 | 42 | |
| 4: Summary | – | – | |
| Module 5: Geometry (10%) 01:07:43 total video length 224 total reading pages |
5: Geometry | 0:00:39 | – |
| 5.1: Lines | 0:09:08 | 15 | |
| 5.2.1: General Triangles | 0:12:48 | 49 | |
| 5.2.2: Right Triangles | 0:09:41 | 49 | |
| 5.3.1: Quadrilaterals I | 0:11:16 | 49 | |
| 5.3.2: Quadrilaterals II | 0:08:49 | 49 | |
| 5.4: Circles | 0:15:22 | 13 | |
| 5: Summary | – | – | |
| Module 6: Logic and Sets (15%) 00:43:42 total video length 50 total reading pages |
6: Logic and Sets | 0:01:09 | – |
| 6.1: Logical Statements | 0:18:48 | 32 | |
| 6.2.1: Set Theory I | 0:06:41 | 9 | |
| 6.2.2: Set Theory II | 0:17:04 | 9 | |
| 6: Summary | – | – | |
| Module 7: Numbers (10%) 00:53:32 total video length 92 total reading pages |
7: Numbers | 0:00:59 | – |
| 7.1: Properties of Numbers | 0:13:47 | 27 | |
| 7.2: Elementary Number Theory | 0:14:45 | 23 | |
| 7.3: Scientific Notation and UNIT Conversion | 0:10:52 | 28 | |
| 7.4: Absolute Value | 0:13:09 | 14 | |
| 7: Summary | – | – | |
| Course Conclusion | – | – |
