Welcome to Precalculus @ SDSU!

Summer 2021 Online
July 6-  August 13

Professor Maha Rayan

Professor Maha Rayan

9:00 am – 11:00 amThis class will be organized as follows:

Live Zoom Classes M, T, W 9:00-9:50 am Lecture style classes taught by your instructor. Also recorded so that video can be accessed by those who could not attend live session.
Live Break Out Zoom Sessions T, Th Students will have breakout labs every Tuesday and Thursday throughout the 6-week session. Students may choose one of the following times:  Tuesdays and Thursdays 10:00 am – 10:50 am, 11:00 am – 11:50 am, or 12:00 pm – 12:50 pm.  Small break out sections taught by Teaching Assistants (TAs)
Posted Videos M,T,W, Th Watch at your convenience, 3-4 short videos per day Created and posted by your instructor to preview or review material discussed in class. Will be available throughout the course.
Online Assessments Friday 9:00 am – 11:00 am Tests and the Final Exam will be given every Friday starting Week 2. These tests will be online and start promptly at 9:00 am and must be submitted via PDF before 11:00 am. These tests are mandatory and cannot be taken at any other day or time.
Description of the Course

This course is specifically designed for students majoring in STEM careers (Science, Technology, Engineering, and Mathematics).  The goal of this semester is to increase students’ procedural fluency and conceptual understanding of the basic concepts that they will see when they take calculus.  The goal of these sessions is to engage students in using the mathematical functions (linear, quadratic, exponential, logarithmic and trigonometric) to model phenomena from the contexts of engineering, chemistry, biology, physics, and geometry.

Prerequisite: Score of 50 or higher on ALEKS test.

Contact information for Instructor and TAs

Instructor Information

Instructor name:  Professor Maha Rayan

Office hours and location:  TBD

Email address:  MRayan@sdsu.edu

Teaching Assistants: 

  • TBD

Student Learning Objectives
  1. Graph functions: Students will be able to graph functions of study (polynomial, rational, exponential, logarithmic and trigonometric) and identify properties such as intercepts, behavior toward infinity, asymptotes, discontinuities, and inverses.
  2. Solve Equations: Students will develop conceptual understanding and procedural proficiency for solving equations from the families of functions listed above.
  3. Use Appropriate Terminology: By the end of the course, students will be able to explain geometric, algebraic, graphical and real-life interpretations of these functions using appropriate terminology.
  4. Create Models and use Technology as Appropriate: Students will be able to develop appropriate models for explaining data and solving applied problems from various client disciplines. When possible, students will develop the proclivity to use technology to explore shapes of graphs and how values of parameters affect the shape of graphical models.
  5. Develop Math Study Skills: Students will identify their current levels of understanding and transition from memorization to deeper conceptual understanding.  For example, if you find yourself saying “The test wasn’t fair…the wording was different,” then you may be memorizing instead of developing deeper understanding.  A key goal of the course is to try asking yourself, “Why does this concept work as it does?” Once you develop this way of thinking, the wording won’t even be an issue!
Tentative Class Schedule (Summer 2021)



 Lecture content


  Break-Out Session

Session (Thursday)

Week 1

7/6 – 7/11

Introduction to class

2.2:   Intro to Polynomial Functions

2.3:   Division of Polynomials

2.4:   Zeros of Polynomials

Register for ALEKS

Week 1 ALEKS Assignments  due Fri. 7/9

Introduction to Course & Breakout Labs


Practice problems/HW questions

Group Quiz

Week 2

7/12 – 7/18

  2.5:   Rational Functions

3.1:   Inverse Functions

Test 1:  2.2-2.5, 3.1 (Friday, 7/16, 9am-11am)

Week 2 ALEKS Assignments due Thurs. 7/15

Modeling with



Practice problems/HW questions

Group Quiz

Week 3

7/19 –


  3.2:   Exponential functions

  3.3:   Logarithmic functions

  3.4:   Properties of logarithms

  3.5:   Exponential and Log Equations & Applications

Test 2:  3.2-3.5 (Friday, 7/23, 9am-11am)

Week 3 ALEKS Assignments due Thurs. 7/22






Practice problems/HW questions

Group Quiz

Week 4

7/26 – 8/1

  3.6:   Modeling with Exponential and

            Log Functions

  4.1:   Angles & Their Measure

  4.2:   Trig Functions Defined

             on the Unit Circle

  4.3:   Right Triangle Trigonometry

  4.4:   Trig Functions of Any Angle

Test 3:  3.3-3.6 (Friday, 7/30, 9am-11am)

Week 4 ALEKS Assignments due Thurs. 7/29

pH (Logarithms)

 Desmos Activity

Practice problems/HW questions

Group Quiz

Week 5

8/2 – 8/8

  4.5: Graphs of Sine & Cosine Functions

  4.6:   Graphs of Other Trig Functions

  4.7:   Inverse Trig Functions

  5.1:   Fundamental Trig Identities

Test 4:  4.1-4.6 (Friday, 8/6, 9am-11am)

Week 5 ALEKS Assignments due Thurs. 8/5

Radian Measure

 Desmos Activity

Practice problems/HW questions

Group Quiz

Week 6

8/9 – 8/13

  5.5:   Trigonometric Equations

  6.1:   Applications of Trig

  6.4:   Harmonic Motion

FINAL EXAM:  the final is cumulative 2.2-2.5, 3.1-3.6, 4.1-4.6, 5.1, 5.5, 6.1, 6.4 (Friday, 8/13, 9am-11am)

Week 6 ALEKS Assignments due Thurs. 8/12

Graphing Trig




 Desmos Activity

Review for Final