Text: Sullivan and Sullivan. Precalculus: Concepts Through Functions. A Unit Circle Approach to Trigonometry. 3rd edition. Pearson. 2015.
Free ebook Openstax Precalculus https://openstax.org/details/books/precalculus-2e .
Handouts:
Week 1
Algebra formula sheet, Trig formula sheet, Trig graph,
1.1 Functions and Function Notation, 1.2 Domain and Range
1M lecture recording, 1W lecture recording, 1F lecture recording (no sound, sorry~!)
Week 2
1.3 Rates of Change and Behavior of Graphs, 1.4 Composition of Functions , 1.5 Transformation of Functions
This has multiple functions for transformations, you can turn on the function you want to use https://www.desmos.com/calculator/yjwnkhqtpp
Can you look at the graph and tell what the parent functions are and what transformations? https://www.desmos.com/calculator/8kjjjqbwwh
2M lecture recording (no sound, sorry~!), 2W lecture recording, 2F lecture recording
Week 3
1.6 Absolute Value Functions , 2.1 Linear Functions, 2.2 Graphs of Linear Functions
1.6 Notes with answers, 2.1 - 2.3 Notes with answers
3W lecture recording, 3F lecture recording (no sound, sorry~!)
Week 4
3.1 complex numbers , 3.2 Quadratic Functions
3.1 Notes with answers, 3.2 Notes with answers
This is a quadratic with sliders to show how the vertex moves https://www.desmos.com/calculator/oiywcfzpiw
Extra (Conic section, not covered in this course, chapter 10 of textbook): This shows the parabola as the set of points equally distant from the focus and directrix, the parabola changes shape when you move the focus https://www.desmos.com/calculator/i9h67skoq5
4M lecture recording (no sound, sorry~!), 4W lecture recording, 4F lecture recording
Week 5
3.3 Power Functions and Polynomial Functions , 3.4 Graphs of Polynomial Functions , 3.4 b Solving inequalities
3.3 - 3.4 Notes with answers , 3.4 b notes with answers
5M lecture recording, 5W lecture recording, 5F lecture recording
Week 6
3.5 Dividing Polynomials 3.6 Zeros of Polynomial Functions , Exam 1
6M lecture recording, 6W lecture recording,
Week 7
3.7 Rational Functions , 1.7 inverse functions, 4.1 - Exponential functions
3.7 Notes with answers 1.7 Notes with answers 4.1 - 4.2 Notes with answers
7M lecture recording, 7W lecture recording, 7F lecture recording
Week 8
4.2 graphs of Exponential functions , 4.3 - Logarithmic functions and 4.4 their graphs
4.1 - 4.2 Notes with answers, 4.3 - 4.4 Notes with answers
8M lecture recording, 8W lecture recording, 8F lecture recording
Week 9
4.5 - Properties of logarithms , 4.6 Exponential and Logarithmic Equations
9W lecture recording, 9F lecture recording
Week 10
4.7 Exponential and Logarithmic Models , 5.1 angles , 5.2 Unit Circle: Sine and Cosine Functions
4.7 Notes with answers , 5.1 Notes with answers, 5.2 - 5.3 Notes with answers
10M lecture recording, 10W lecture recording, 10F lecture recording
Week 11
5.3 The Other Trigonometric Functions , 5.4 Right Triangle Trigonometry , Exam 2
5.2 - 5.3 Notes with answers 5.4 Notes with answers
11M lecture recording, 11W lecture recording,
Week 12
6.1 Graphs of the Sine and Cosine Functions , 6.2 Graphs of the Other Trigonometric Functions , 6.3 Inverse Trigonometric Functions
6.1 Notes with answers , 6.2 Notes with answers 6.3 Notes with answers
12M lecture recording, 12W lecture recording, 12F lecture recording
Week 13
7.1 Fundamental Identities , 7.2 Sum and Difference Identities , 7.3 Double-Angle, Half-Angle, and Reduction Formulas
7.1 Notes with answers , 7.2 Notes with answers , 7.3 - 7.4 Notes with answers
13M lecture recording, 13W lecture recording, 13F lecture recording (no sound)
Week 14
Exam 3 and Thanksgiving break
Week 15
7.4 Sum-to-Product and Product-to-Sum Formulas , 7.5 Solving Trigonometric Equations , 8.1 Non-right Triangles: Law of Sines
7.3 - 7.4 Notes with answers 7.5 Notes with answers 8.1 Notes with answers
15M lecture recording, 15W lecture recording, 15F lecture recording
Week 16
8.2 Non-right Triangles: Law of Cosines , 8.8 Vectors
8.2 Notes with answers 8.8 Notes with answers
16M lecture recording, 16W lecture recording, 16F lecture recording
Practice exams and solutions:
1. Practice exam 1 Solution Review formula answers Practice exam with examples from notes and quiz Review session recording
2. Practice exam 2 Solution Review formula answers Practice exam with examples from notes and quiz Review session recording
3. Practice exam 3 Solution Review formula answers Practice exam with examples from notes and quiz Review session recording Unit circle answers
4. Practice final exam Solution Final formula sheet Practice exam with examples from notes and quiz Review session recording
Acknowledgment: The examples in the worksheets are taken from your textbook, Gabriel Pretel's and Kevin Mirus' notes. The formula sheets are taken from Paul Dawkins' online math notes. If you find some useful online resources which may be beneficial to the whole class, please let me know. Thank you!!! :-)