Math 195: Precalculus with Trigonemetry (Fall 2026)
- See here for the syllabus.
Announcements
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(10/8) Remember that midterm 1 is next Thursday, October 15! You can find a study guide here.
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(10/8) Here is today’s worksheet about change of base formulas.
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(10/6) Here is today’s worksheet about logarithms
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(10/1) Here is today’s worksheet about exponential models.
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(9/29) Here is today’s worksheet about exponential functions.
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(9/24) Here is today’s worksheet about radical functions.
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(9/22) Here is today’s worksheet about inverses.
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(9/17) Here is today’s worksheet about reciprocals of power functions.
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(9/15) Here is today’s worksheet about power functions.
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(9/10) Here is today’s worksheet about quadratic functions.
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(9/8) Here is today’s review worksheet.
Homework
Problems from the textbook are those given as from Section N.X.
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Week 6 No homework. Study for the exam instead!
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Week 5 Due Tuesday 10/13: 10/6 worksheet exercises #1–21; 10/8 worksheet exercises #1–11.
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Week 4 Due Tuesday 10/6: 9/29 worksheet exercises #1–10; Section 4.2 #1, 3, 6, 8, 10, 13–18, 19–22; 10/1 worksheet all boxes; Section 4.7 #6, 43–45.
Some worksheet problems ask you to use a graphing calculator to make observations and estimations. You don’t need to submit pictures from the calculator, just write down what you get from them. For the Section 4.7 problems, read the explanation in the chapter of Newton’s law of cooling for another application of exponential functions. It is okay to use a graphing calculator for #45; you don’t need to use logarithms, since we haven’t talked about them yet.
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Week 3 Due Tuesday 9/29: 9/22 worksheet second box #1–3, third box #1–5; 9/24 worksheet first box #1–3, second box #1–8; Section 3.8 #13–16, 18, 20, 22, 36, 52, 55.
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Week 2 Due Tuesday 9/22: 9/15 worksheet second box #1–4, 8–12; Section 3.3 #17–20, 27, 28; 9/17 worksheet second box #1–3, 7–8, third box #1–7; Section 3.7 #10, 35–38, 41.
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Week 1 Due Tuesday 9/15: All problems from the 9/8 worksheet; Section 3.2 #1, 3, 5, 6, 8, 10, 14, 16, 22, 54, 56, 60, 92.
Schedule
This course is broken up into two major units, followed by one minor unit. The major units conclude with a midterm while the minor unit ends with the final exam.
The schedule below is tentative; we might have small adjustments in the dates. For each week I’ve included which sections from the textbook we will be covering.
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Unit 1 (9/8–10/15): Elementary Functions
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Week 1: Intro, Quadratic functions (3.2)
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Week 2: Power functions, reciprocals of power functions (3.3, 3.7)
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Week 3: Inverses, radicals (3.8)
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Week 4: Exponential and logarithmic functions (4.1–4.4)
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Week 5: More exponential and logarithmic functions (4.5, 4.6)
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Week 6: Review and midterm 1
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Unit 2 (10/20–11/19): Trigonomentry
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Week 7: Angles and circles (5.1–5.3)
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Week 8: Triangles (5.4, 8.1, 8.2)
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Week 9: Waves and graphs (6.1–6.3)
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Week 10: Identities and equations (7.1, 7.2, 7.5)
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Week 11: Review and midterm 2
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Unit 3 (11/24–12/10): A preview of calculus
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Week 12: Polynomials (3.4)
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Week 13: Rational functions (3.7)
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Week 14: Series, review for final
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Important dates:
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10/15: Midterm 1
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11/19: Midterm 2