Math 1201 College Algebra

MATH 1201: College Algebra

Course Description:

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.

Required Textbook and Materials:

The main required textbooks for this course are listed below and can be readily accessed using the provided links. There may be additional required/recommended readings, supplemental materials, or other resources and websites necessary for lessons; these will be provided for you in the course’s General Information and Forums area, and throughout the term via the weekly course Unit areas and the Learning Guides.

Software Requirements/Installation:

No special requirements.

Learning Objectives and Outcomes:

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

1. Learn actively by:
   • Integrating technology into problem-solving.
   • Taking responsibility for accessing and using a variety of sources for assistance in learning about algebra and trigonometry.
2. Think critically and creatively by:
   • Using deductive and inductive reasoning in applying calculus to real-life situations.
   • Analyzing, contrasting and critiquing various procedures – the “rules” of algebra and trigonometry.
   • Following, evaluating, and writing solutions to mathematical problems, arguments, and proofs.
3. Communicate clearly and originally by:
   • Explaining how answers were created — stating assumptions made and conclusions supported by the analysis.
   • Formulating and criticizing mathematical conjectures and conclusions.
   • Reading and writing mathematical presentations that use mathematical vocabulary, notation, and graphical interpretations.
4. Interact in the diverse and complex environment by:
   • Recognizing the biases and limitations of mathematical models.
   • Respecting individual ways of arriving at answers, expressing results, and processing information.

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 .

Week 1: Unit 1 – Functions

Week 2: Unit 2 – Graphs, Linear and Quadratic Functions

Week 3: Unit 3 – Polynomials

Week 4: Unit 4 – Composition and Inverses

Week 5: Unit 5 – Exponential and Logarithmic Functions

Week 6: Unit 6 –Systems of Equations

Week 7: Unit 7 –Foundations of Trigonometry

Week 8: Unit 8 –Additional Trigonometric Concepts

Week 9: Unit 9 –Course Review and Final Exam