- Course Type CLEP
- Subject Science and Mathematics
- Level Introductory
- Length 4 Weeks
- Effort 6 Hours/Week
- Institution Modern States
This course reviews the fundamentals taught in Algebra during one semester in college. 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 algebraic skills and knowledge on key concepts, including vocabulary, symbols, and notation.
During the examination, an online scientific calculator (non-graphing) will be available, although there is little emphasis on arithmetic calculations.
“College Algebra” 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 Algebra exam and cover other related topics as well.
Instructors
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James Murphy, Ph.D.Professor, Tufts University
Course Overview
College Algebra Course Overview - Modern States
| Module | Topic | Video Length | Reading Pages |
| Module 1: Algebraic operations (25%) 01:24:35 total video length 465 total reading pages |
Introduction (Module 1) | 0:00:49 | – |
| 1.1.1 Algebraic Operations | 0:05:45 | 24 | |
| 1.1.2 Manipulating Fractions | 0:08:17 | 24 | |
| 1.1.3 Powers and Roots | 0:04:55 | 24 | |
| 1.2.1 Factoring and Expanding Polynomials | 0:04:27 | 26 | |
| 1.2.2 First Order Polynomials | 0:02:19 | 26 | |
| 1.2.3 Second Degree Polynomials | 0:02:31 | 26 | |
| 1.2.4 Roots of Quadratics | 0:10:44 | 26 | |
| 1.2.5 Higher Order Polynomials | 0:03:18 | 26 | |
| 1.2.6 Expanding Polynomials | 0:05:27 | 26 | |
| 1.3.1 Introduction to Exponentials | 0:02:30 | 43 | |
| 1.3.2 Properties of Exponents | 0:12:07 | 43 | |
| 1.3.3 Plots of Exponentials | 0:04:01 | 43 | |
| 1.4.1 Logarithms | 0:05:03 | 36 | |
| 1.4.2 Properties of Logarithms | 0:08:02 | 36 | |
| 1.4.3 Logarithm as Inverse of Exponential | 0:04:20 | 36 | |
| Module 2: Equations and inequalities (25%) 01:21:25 total video length 249 total reading pages |
Introduction (Module 2) | 0:01:11 | – |
| 2.1.1 Linear Equations and Inequalities | 0:07:02 | 29 | |
| 2.1.2 Linear Inequalities | 0:05:20 | 29 | |
| 2.2.1 Quadratic Equations | 0:05:31 | 12 | |
| 2.2.2 Quadratic Formula | 0:06:11 | 12 | |
| 2.2.3 Quadratic Inequalities | 0:07:53 | 12 | |
| 2.3.1 Exponential and Logarithmic Equations | 0:10:48 | 27 | |
| 2.4.1 Introduction to Absolute Value | 0:03:44 | 13 | |
| 2.4.2 Equations with Absolute Values | 0:05:54 | 13 | |
| 2.4.3 Inequalities Involving Absolute Values | 0:07:57 | 13 | |
| 2.5.1 Systems of Equations and Inequalities | 0:09:10 | 13 | |
| 2.5.2 Systems of Linear Equations | 0:04:44 | 38 | |
| 2.5.3 Higher Order Systems | 0:06:00 | 38 | |
| Module 3: Functions and their properties (30%) 01:46:11 total video length 478 total reading pages |
Introduction (Module 3) | 0:00:55 | – |
| 3.1.1 What is a Function? | 0:10:53 | 21 | |
| 3.1.2 Function or not? | 0:02:55 | 21 | |
| 3.1.3 Vertical Line Test | 0:04:22 | 21 | |
| 3.2.0 Representing with Functions | 0:04:21 | 51 | |
| 3.2.1 Linear Modeling | 0:05:02 | 51 | |
| 3.2.2 Exponential Modeling | 0:06:25 | 51 | |
| 3.3.1 Domain and Range of a Function | 0:01:31 | 17 | |
| 3.3.1.1 Intrinsic Domain Limitations | 0:08:45 | 17 | |
| 3.3.2 Visualizing Domain and Range | 0:07:18 | 17 | |
| 3.4.0 Algebra of Functions | 0:02:03 | 14 | |
| 3.4.1 Composition of Functions | 0:11:25 | 14 | |
| 3.5.1 Plotting Functions | 0:06:58 | 47 | |
| 3.5.2 Symmetry of Functions | 0:08:46 | 47 | |
| 3.5.3 Transformation of Functions | 0:07:12 | 47 | |
| 3.6.0 Inverse Functions | 0:06:06 | 14 | |
| 3.6.1 Remarks on Inverse Functions | 0:02:30 | 14 | |
| 3.6.2 Horizontal Line Test | 0:08:44 | 14 | |
| Module 4: Number systems and operations (20%) 01:21:35 total video length 442 total reading pages |
Introduction (Module 4) | 0:00:54 | – |
| 4.1.1 Real Numbers | 0:01:12 | 16 | |
| 4.1.2 Integers | 0:01:32 | 16 | |
| 4.1.3 Rational Numbers | 0:02:44 | 16 | |
| 4.1.4 Irrational Numbers | 0:05:26 | 16 | |
| 4.2.1 Complex Numbers | 0:05:22 | 9 | |
| 4.2.2 Arithmetic with Complex Numbers | 0:05:13 | 9 | |
| 4.2.3 Division of Complex Numbers | 0:05:18 | 9 | |
| 4.3.1 Sequences and Series | 0:02:21 | 45 | |
| 4.3.2 Notation | 0:02:35 | 45 | |
| 4.3.3 Arithmetic Series | 0:05:42 | 45 | |
| 4.3.3.1 Arithmetic Series | 0:02:11 | 45 | |
| 4.3.4 Geometric Series | 0:05:55 | 45 | |
| 4.4.1 Factorials and Binomial Theorem | 0:02:51 | 18 | |
| 4.4.2 Factorial! | 0:05:13 | 18 | |
| 4.4.3 Counting with Factorials | 0:04:24 | 18 | |
| 4.4.3.1 Counting with Factorials | 0:05:25 | 18 | |
| 4.4.4 Binomial Theorem | 0:07:05 | 18 | |
| 4.5.1 Matrices | 0:03:15 | 12 | |
| 4.5.2 Matrix Algebra | 0:03:24 | 12 | |
| 4.5.3 Determinant | 0:03:33 | 12 |
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Student Stories
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