This course provides a solid grounding in algebra, trigonometry, and analytic geometry in preparation for further mathematical studies. The course includes an extensive study of linear, quadratic, and rational functions. It also contains an introduction to exponential and logarithmic functions and circles. Finally, the topic of systems of linear equations is covered.

Learning Objectives and Outcomes:

By the end of this course students will be able to:

• Summarize the basic concepts of algebra and trigonometry using various resources (textbooks, graphs and scientific calculators) 
• Solve algebraic and trigonometric problems. 
• Interpret the algebraic and trigonometric concepts using graphs.
• Apply the algebraic and trigonometric concepts to the mathematical models.

Course Schedule and Topics

This course will cover the following topics in eight learning sessions, with one Unit per week. The Final Exam will take place during Week/Unit 9 (UoPeople time).

Week 1: Unit 1 – Functions – I
Week 2: Unit 2 – Functions – I
Week 3: Unit 3 – Polynomials – I (Linear and Quadratic Functions)

Week 4: Unit 4 – Polynomials – II (Polynomials of Higher Order and Rational Functions)
Week 5: Unit 5 – Exponential and Logarithmic Functions
Week 6: Unit 6 – Trigonometry – I (Foundations of Trigonometry)
Week 7: Unit 7 – Trigonometry – II (Additional Trigonometric Concepts)
Week 8: Unit 8 – Systems of Equations
Week 9: Unit 9 -Course Review and Final Exam

Learning Guide

The following is an outline of how this course will be conducted, with suggested best practices for students.

Unit 1: Functions – I

• Read the Learning Guide and Reading Assignments
• Read ‘Using GeoGebra’ in the Learning Guide Unit 1
• Participate in the Discussion Assignment (post, comment, and rate in the Discussion Forum)
• Complete an entry in the Math Assignment
• Take the Self-Quiz

Unit 2: Functions – II

• Read the Learning Guide and Reading Assignments
• Complete an entry in the Math Assignment
• Take and submit the Self-Quiz

Unit 3: Polynomials – I (Linear and Quadratic Functions)

• Read through the Learning Guide and the Reading Assignment
• Complete an entry in the Math Assignment
• Take and submit the Self-Quiz
• Take and submit the Graded Quiz

Unit 4: Polynomials – II (Polynomials of Higher Order and Rational Functions)

• Read through the Learning Guide and the Reading Assignment
• Complete an entry in the Math Assignment
• Take and submit the Self-Quiz

Unit 5: Exponential and Logarithmic Functions

• Read through the Learning Guide and the Reading Assignment
• Complete the Discussion Assignment by posting in the Discussion Forum
• Respond to two of your fellow classmates’ posts in the Discussion Forum
• Complete an entry in the Math Assignment
• Take and submit the Self-Quiz

Unit 6: Trigonometry – I (Foundations of Trigonometry)

• Read the Learning Guide and Reading Assignments
• Complete an entry in the Math Assignment
• Take and submit the Self-Quiz
• Take and submit the Graded Quiz

 Unit 7: Trigonometry – II (Additional Trigonometric Concepts)

• Read through the Learning Guide and the Reading Assignment.
• Complete an entry in the Math Assignment.
• Take and submit the Self-Quiz.

Unit 8: Systems of Equations

• Read through the Learning Guide and the Reading Assignment.
• Complete the Discussion Forum Assignment by posting in the Discussion Forum. 
• Respond to two of your fellow classmates’ posts in the Discussion Forum .
• Complete an entry in the Math Assignment.
• Take and submit the Self-Quiz.
• Take the Review Quiz.
• Read the Unit 9 Learning Guide carefully for instructions on the Final Exam.

Unit 9: Course Review and Final Exam

• Read the Learning Guide and take the Review Quiz, if you haven’t already done so
• Prepare for, take, and submit the Final Exam
• The Final Exam will take place during the Thursday and Sunday of Week/Unit 9 (UoPeople time); exact dates, times, and other details will be provided accordingly by your instructor