College Mathematics

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  • Course Type CLEP
  • Subject Science and Mathematics
  • Level Introductory
  • Length 4 Weeks
  • Effort 6 hours/Week
  • Institution Modern States

ABOUT THIS COURSE

It reviews the fundamentals taught in a college course for nonmathematics majors and majors in fields not requiring knowledge of advanced mathematics. Our goal as creators of this course is to prepare you to pass the College Board’s CLEP examination and obtain college credit for free.

Through the guidance of Dr. James Murphy this course will provide you with mathematics skills and knowledge on key concepts, including algebra and functions, counting and probability, data analysis and statistics, financial mathematics, geometry, logic and sets and numbers.

During the examination, an online scientific calculator (non-graphing) will be available.

“College Mathematics” is a completely self-paced course. It has no prerequisites and it is offered entirely for free.

CLEP Exam

This course is designed to prepare you for the CLEP College Mathematics exam and cover other related topics as well.

Instructors

  • James Murphy, Ph.D.

    Professor, Tufts University

Course Overview

College Mathematics Course Overview - Modern States

Module Topic Video Length Reading Pages
Module 1: Algebra and Functions (25%)
01:53:04 total video length
435 total reading pages
Introduction (Module 1.0) 0:01:24
Equations and Inequalities (Module 1.1.1) 0:07:43 158
The Quadratic Formula (Module 1.1.2) 0:08:30 12
Exponents and Logarithms (Module 1.1.3) 0:17:10 112
Introduction to Functions (Module 1.2) 0:15:42 33
Domain and Range (Module 1.3) 0:18:27 16
Graphing Functions (Module 1.4.1) 0:10:18 38
Transformations of Functions (Module 1.4.2) 0:08:54 25
Inverse Functions (Module 1.4.3) 0:11:01 13
Linear Growth (Module 1.5.1) 0:04:44 13
Exponential Growth (Module 1.5.2) 0:09:11 15
Module 2: Counting and Probability (10%)
00:54:54 total video length
182 total reading pages
Introduction (Module 2.0) 0:01:12
Factorials (Module 2.1.1) 0:16:01 17
Combinatorics (Module 2.1.2) 0:09:51 17
Probability Theory (Module 2.2.1) 0:12:45 74
Probability Examples (Module 2.2.2) 0:15:05 74
Module 3: Data Analysis and Statistics (15%)
01:02:55 total video length
208 total reading pages
Introduction to Data Analysis and Statistics (Module 3.0) 0:01:15
Visual Analysis of Data (Module 3.1) 0:13:00 22
Basic Statistical Theory (Module 3.2.1) 0:12:52 83
Basic Statistics Examples (Module 3.2.2) 0:10:40 83
Normal Distributions (Module 3.3) 0:15:34 7
Bivariate Data (Module 3.4) 0:09:34 13
Module 4: Financial Mathematics (20%)
00:34:03 total video length
128 total reading pages
Introduction to Financial Mathematics (Module 4.0) 0:00:41
Basic Financial Mathematics (Module 4.1) 0:08:57 44
Interest (Module 4.2) 0:16:00 42
Present and Future Values (Module 4.3) 0:08:25 42
Module 5: Geometry (10%)
01:07:43 total video length
224 total reading pages
Introduction to Geometry (Module 5.0) 0:00:39
Lines (Module 5.1) 0:09:08 15
General Triangles (Module 5.2.1) 0:12:48 49
Right Triangles (Module 5.2.2) 0:09:41 49
Quadrilaterals I (Module 5.3.1) 0:11:16 49
Quadrilaterals II (Module 5.3.2) 0:08:49 49
Circles (Module 5.4) 0:15:22 13
Module 6: Logic and Sets (15%)
00:43:42 total video length
50 total reading pages
Introduction to Logic and Sets (Module 6.0) 0:01:09
Logical Statements (Module 6.1) 0:18:48 32
Set Theory I (Module 6.2.1) 0:06:41 9
Set Theory II (Module 6.2.2) 0:17:04 9
Module 7: Numbers (10%)
00:53:32 total video length
92 total reading pages
Introduction to Numbers (Module 7.0) 0:00:59
Properties of Numbers (Module 7.1) 0:13:47 27
Elementary Number Theory (Module 7.2) 0:14:45 23
Scientific Notation and Unit Conversion (Module 7.3) 0:10:52 28
Absolute Value (Module 7.4) 0:13:09 14

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