College Algebra

  • UMGC College Level Course
  • Mathematics
  • Credit3.0
  • G11
  • G12

Prerequisites

Students who are interested in Math. No prerequisite courses are required, but students need to go through a competitive admissions process.

Grade Level

Grade 11-12

Teacher Info

Mr. Paul Olaniba
Mr. Paul Olaniba is a high school teacher who has taught for more than five years in three different countries. Currently, he teaches Math and AP Economics at Guiyang Number 1 High School, Guizhou, China. He previously taught at a high school in Shenzhen and Nanchang, China. He studied Accounting, Information Systems, and Finance at the European University of Lefke in Cyprus. He currently has three years of teaching experience in China. His teaching philosophy is to maintain a very engaging, friendly, and supportive classroom so that school becomes a joyful place for everyone to learn. In his spare time, he loves to explore his environment and spend time with his family.

Course Syllabus(For Reference Only)

Week Activities

1

Week 1: Review of Basic Concepts of Algebra
Read:

  • News (Announcements on home page)
  • Syllabus
  • Week 1 Learning Resources

Do:

  • Familiarize yourself with the Course Resources in LEO, including the textbook, course modules, and supplementary course materials
  • Introduce yourself and meet your classmates in the Introductions discussion (optional)
  • Post any questions in the “Ask the Professor” discussion (if desired)
  • Homework
  • Participation Problem

2

Week 2: Relations, Graphs, and Functions

Read:

  • Week 2 Learning Resources

Do:

  • Quiz 1, covering Week 1 course material
  • Homework
  • Participation Problem
  • Work on Linear Model Project. See Linear Project module.

3

Week 3: Transformations of Functions; Linear Functions, Absolute Value Functions, and Applications
Read:

  • Week 3 Learning Resources

Do:

  • Quiz 2, covering Week 2 course material
  • Homework
  • Participation
  • Work on Linear Model Project. See Linear Project module.

4

Week 4: Complex Numbers; Quadratic Equations, Functions and Applications

Read:

  • Week 4 Learning Resources

Do:

  • Quiz 3, covering Week 3 course material
  • Homework
  • Participation Problem
  • Linear Model Project Dataset. See Linear Project Module.

5

Week 5: Polynomial Functions, Rational Functions, Equations, and Inequalities

Read:

  • Week 5 Learning Resources

Do:

  • Homework
  • Participation Problem
  • Linear Model Project. See Linear Project module.

6

Week 6: Inverse, Radical, Exponential, and Logarithmic Functions

Read:

  • Week 6 Learning Resources

Do:

  • Quiz 4, covering Week 4 and Week 5 course material
  • Homework
  • Participation

7

Week 7: Exponential and Logarithmic Properties, Equations and Applications

Read:

  • Week 7 Learning Resources

Do:

  • Quiz 5, covering Week 6 course material
  • Homework
  • Participation

8

Week 8: Review and Final Exam

Do:

  • Homework (Review exercises)
  • Participation
  • Final Exam (cumulative)

The ONLINE Final Exam is comprehensive, open book and includes multiple-choice and short answer questions.  The final exam must be individually completed and represent your own personal work.  Neither collaboration nor consultation with others is allowed. The solutions for the final exam will not be posted.

Outcomes

After completing this course, you should be able to
1. demonstrate fluency in the language of college algebra and communicate mathematical ideas using appropriate terminology and technology
2. perform operations on real numbers, complex numbers, and functions, including composition of functions
3. solve linear, quadratic, rational, radical, exponential, logarithmic, and absolute value equations; and solve linear, polynomial, rational, and absolute value inequalities
4. analyze and graph circles and functions, including linear, piecewise, quadratic, higher order polynomial, rational, exponential, logarithmic, and inverse functions, and transformations of these functions
5. use mathematical modeling to translate, solve, and interpret applied problems related to linear and quadratic modeling, average rate of change, variation, and exponential growth and decay

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