MAT 105: College Algebra

Ed4Credit presents College Algebra

MAT 105: College Algebra

Course Description

Our College Algebra course provides a comprehensive and multi-layered exploration of algebraic principles. Students of differing levels of experience with mathematics will be guided through this course with ideas that are clearly presented. Example problems are shown at the end of every chapter which offer detailed, conceptual explanations. This course engages students and provides a strong, cumulative foundation of the material.    Materials There is no extra cost for textbooks or materials. All materials are included with this course.   Transferability Ed4Credit’s courses have all either been recommended for credit through the American Council on Education’s Alternative Credit Project™ or their College Credit Recommendation Service (CREDIT®). This highly regarded recommendation means that your ... Read More »

Our College Algebra course provides a comprehensive and multi-layered exploration of algebraic principles. Students of differing levels of experience with mathematics will be guided through this course with ideas that are clearly presented. Example problems are shown at the end of every chapter which offer detailed, conceptual explanations. This course engages students and provides a strong, cumulative foundation of the material. 

 

Materials

There is no extra cost for textbooks or materials. All materials are included with this course.

 

Transferability

Ed4Credit’s courses have all either been recommended for credit through the American Council on Education’s Alternative Credit Project™ or their College Credit Recommendation Service (CREDIT®). This highly regarded recommendation means that your Ed4Credit classes will be considered for credit at almost 2,000 colleges and universities across the United States.

It’s important that you check with the college you are planning to transfer this course to in order to verify the transferability to your college. Also, every college individually determines if a course will count as a lower-level course or an upper-level course. Please contact your college and make sure you understand their policies regarding ACE credit transfers.

Ed4Credit courses go through an intensive quality review process by ACE CREDIT® prior to being available to students. ACE CREDIT has evaluated and recommended this Ed4Credit course for college credit. Once you have completed an Ed4Credit course, you are eligible to receive an ACE Transcript for credit transfer purposes. Upon completion of your Ed4Credit courses simply create an account with the American Council on Education (ACE). Once you’ve created your account select the courses you’ve completed and choose the appropriate educational institution and ACE will send them your transcript.

The ACE CREDIT® logo is a registered trademark of the American Council on Education and cannot be used or reproduced without the express written consent of the American Council on Education. Used with permission.

 

More Information

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Read Less
Course Outcomes:
  • Recall ways to simplify and evaluate algebraic expressions and functions
  • Identify how to solve linear, polynomial, and rational functions
  • Recognize types of logarithmic functions and systems of equations
  • Define analytic geometry
  • Define sequence, probability, and counting theory
Course Details:

Access Timeframe

You will have access to your course for 4 months (120 days) from the time of purchase.

Prerequisites

Prior knowledge of basic mathematical principles is highly recommended.
Certificate Info:

Type of Certification

Certificate of Completion

Format of Certification

Digital

Professional Association/Affiliation

Ed4Credit courses are recommended by ACE (American Council on Education) and approx. 2,000 colleges and universities accept ACE CREDIT's® recommended courses.

Method of Obtaining Certification

Credits are displayed on the Certificate of Completion which can be downloaded upon successful completion of a course. Official transcripts must be requested from ACE via a ACE Account.

Additional Details

Students are awarded course credits upon successful completion of a course.

Course Outline

Module Subtopics:
  • Real Numbers: Algebra Essentials
  • Exponents and Scientific Notations
  • Radicals and Rational Expressions
  • Polynomials
  • Factoring Polynomials
  • Rational Expressions
Module Learning Objectives:
  • Define real numbers
  • Identify exponents and scientific notations
  • Recall the basics of radicals and rational expressions
  • Define polynomials
  • Identify how to factor polynomials
  • Recall the basics of rational expressions
Assignments:
  1. Read Chapter 1
  2. Practice the Learning Activities
  3. Watch the Videos
  4. Review the Webliography (Web Links)
  5. Take the Exam
Learning Outcomes:
  • 1
Module Subtopics:
  • The Rectangular Coordinate Systems and Graphs
  • Linear Equations in One Variable
  • Models and Applications
  • Complex Numbers
  • Quadratic Equations
  • Other Types of Equations
  • Linear Inequalities and Absolute Value Inequalities
Module Learning Objectives:
  • Recall Rectangular coordinate systems and graphs
  • Identify linear equations in one variable
  • Recognize models and applications
  • Define complex numbers
  • Recall quadratic equations
  • Identify other types of equations
  • Recognize the basics of linear inequalities and absolute value inequalities
Assignments:
  1. Read Chapter 2
  2. Practice the Learning Activities
  3. Watch the Videos
  4. Review the Webliography (Web Links)
  5. Take the Exam
Learning Outcomes:
  • 1
Module Subtopics:
  • Functions and Functional Notation
  • Domain and Range
  • Rates of Change and Behavior of Graphs
  • Composition of Functions
  • Transformation of Functions
  • Absolute Value Functions
  • Inverse Functions
Module Learning Objectives:
  • Define functions and functional notation
  • Identify domain and range
  • Recall rates of change and behavior of graphs
  • Recognize the composition of functions
  • Identify transformation of functions
  • Recall absolute value functions
  • Define inverse functions
Assignments:
  1. Read Chapter 3
  2. Practice the Learning Activities
  3. Watch the Videos
  4. Review the Webliography (Web Links)
  5. Take the Exam
Learning Outcomes:
  • 2
Module Subtopics:
  • Linear Functions
  • Modeling with Linear Functions
  • Fitting Linear Models to Data
Module Learning Objectives:
  • Define linear functions
  • Identify how to model with linear functions
  • Recall how to fit linear models to data
Assignments:
  1. Read Chapter 4
  2. Practice the Learning Activities
  3. Watch the Videos
  4. Review the Webliography (Web Links)
  5. Take the Exam
Learning Outcomes:
  • 2
Module Subtopics:
  • Quadratic Functions
  • Power Functions and Polynomial Functions
  • Graphs of Polynomial Functions
  • Dividing Polynomials
  • Zeros of Polynomial Functions
  • Rational Functions
  • Inverses and Radical Functions
  • Modeling Using Variation
Module Learning Objectives:
  • Define quadratic functions
  • Identify power functions and polynomial functions
  • Recall graphs of polynomial functions
  • Recognize how to divide polynomials
  • Identify the characteristics of zeros of polynomial functions
  • Recall the basics of rational functions
  • Recognize inverse and radical functions
  • Identify how to model using variations
Assignments:
  1. Read Chapter 5
  2. Practice the Learning Activities
  3. Watch the Videos
  4. Review the Webliography (Web Links)
  5. Take the Exam
Learning Outcomes:
  • 2
Module Subtopics:
  • Exponential Functions
  • Graphs of Exponential Functions
  • Logarithmic Functions
  • Graphs of Logarithmic Functions
  • Logarithmic Prosperities
  • Exponential and Logarithmic Equations
  • Exponential and Logarithmic Models
  • Fitting Exponential Models to Data
Module Learning Objectives:
  • Define exponential functions
  • Recall graphs of exponential functions
  • Define logarithmic functions
  • Recognize graphs of logarithmic functions
  • Identify logarithmic prosperities
  • Recall exponential and logarithmic equations
  • Recognize exponential and logarithmic models
  • Identify how to fit exponential models to data
Assignments:
  1. Read Chapter 6
  2. Practice the Learning Activities
  3. Watch the Videos
  4. Review the Webliography (Web Links)
  5. Take the Exam
Learning Outcomes:
  • 3
Module Subtopics:
  • Systems of Linear Equations: Two Variables
  • Systems of Linear Equations: Three Variables
  • Systems of Nonlinear Equations and Inequalities: Two Variables
  • Partial Fractions
  • Matrices and Matrix Operations
  • Solving Systems with Gaussian Elimination
  • Solving Systems of InversesCramer’s Rule
  • Solving Systems with Cramer's Rule
Module Learning Objectives:
  • Recall systems of linear equations: two variables
  • Identify systems of linear equations: three variables
  • Recognize systems of nonlinear equations and inequalities: two variables
  • Define partial fractions
  • Identify matrices and matrix operations
  • Recall how to solve systems with Gaussian elimination
  • Recognize how to solve systems of inverses
  • Identify how to solve systems of Cramer’s Rule
Assignments:
  1. Read Chapter 7
  2. Practice the Learning Activities
  3. Watch the Videos
  4. Review the Webliography (Web Links)
  5. Take the Exam
Learning Outcomes:
  • 3
Module Subtopics:
  • The Ellipse
  • The Hyperbola
  • The Parabola
  • Rotation of Axes
  • Conic Sections in Polar Coordinates
Module Learning Objectives:
  • Define the Ellipse
  • Identify the hyperbola
  • Recall the parabola
  • Recognize the rotation of axes
  • Identify conic sections in polar coordinates
Assignments:
  1. Read Chapter 8
  2. Practice the Learning Activities
  3. Watch the Videos
  4. Review the Webliography (Web Links)
  5. Take the Exam
Learning Outcomes:
  • 4
Module Subtopics:
  • Sequences and Their Notations
  • Arithmetic Sequences
  • Geometric Sequences
  • Series and Their Notations
  • Counting Principles
  • Binomial Theorem
  • Probability
Module Learning Objectives:
  • Recall sequences and their notations
  • Identify arithmetic sequences
  • Recognize geometric sequences
  • Recall series and their notations
  • Identify how to count principles
  • Define binomial theorem
  • Define probability
Assignments:
  1. Read Chapter 9
  2. Practice the Learning Activities
  3. Watch the Videos
  4. Review the Webliography (Web Links)
  5. Take the Exam
Learning Outcomes:
  • 5
Module Subtopics:
  • Final Exam
  • Course Survey
  • Certificate of Completion
Module Learning Objectives:
  • N/A
Assignments:
  1. Take the Cumulative Practice Exam – Optional
  2. Review the Proctored Exam Information
  3. Create an Account with Proctor U
  4. Schedule an Exam Time Take the Proctored Final Exam
  5. Take the Cumulative Final Exam
  6. Submit the Course Survey
  7. Print Your Certificate of Completion
Learning Outcomes:
  • 1, 2, 3, 4, 5

Technical Requirements

Internet Connection

  • Broadband or High-Speed - DSL, Cable, and Wireless Connections

*Dial-Up internet connections will result in a diminished online experience. Classroom pages may load slowly and viewing large audio and video files may not be possible.

 

Hardware Requirements

  • Processor - 2GHz Processor or Higher
  • Memory - 1 GB RAM Minimum Recommended

 

PC Software Requirements

  • Operating Systems - Windows 7 or higher
  • Microsoft Office 2007 or higher. Also, you could use a general Word Processing application to save and open Microsoft Office formats (.doc, .docx, .xls, .xlsx, .ppt, .pptx)
  • Internet Browsers - Google Chrome is highly recommended
    • Cookies MUST be enabled
    • Pop-ups MUST be allowed (Pop-up Blocker disabled)
  • Kindle Reader App is needed for many of our courses (No special equipment needed. This can be downloaded for FREE onto your computer.)
  • PowerPoint Viewer (if you do not have PowerPoint)
  • Adobe PDF Reader
  • QuickTime, Windows Media Player &/or Real Player

 

MAC Software Requirements

  • Operating Systems - Mac OS x 10 or higher with Windows
  • Mac office programs or a Word Processing application to save and open Microsoft Office formats (.doc, .docx, .xls, .xlsx, .ppt, .pptx)
  • Internet Browsers- Google Chrome is highly recommended
    • Cookies MUST be enabled
    • Pop-ups MUST be allowed (Pop-up Blocker disabled)
  • PowerPoint Viewer (if you do not have PowerPoint)
  • Adobe PDF Reader
  • Apple QuickTime Media Player

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