Math 41: Trigonometry and Analytic Geometry

Here is the instructor syllabus from when I taught this course in Fall 2024. The textbook used for this course was “Precalculus: Functions and how they change”, by Crauder, Evans, and Noell (ISBN: 9781319305369).

Lecture Notes
Chapter 1 Section 1.1 Section 1.2 Section 1.3 Section 1.4
Chapter 2 Section 2.1 Section 2.2
Chapter 3 Section 3.1 Section 3.2
Chapter 4 Section 4.1 Section 4.2 Section 4.3
Chapter 5 Section 5.1 Section 5.5
Chapter 6 Section 6.C1 Section 6.C2 Section 6.C3 Section 6.C4
Chapter 7 Section 7.1 Section 7.2
Chapter 8 Sections 8.1, 8.2, and 8.3 Section 8.4 Section 8.5
Chapter 9 Sections 9.1 and 9.2
Chapter 10 Sections 10.1

Course Description

Topics covered include functions and their representations; distinguishing between types of functions; evaluating the average rate of change; graphs and rate of change; end behavior of graphs; modeling with polynomial and rational functions and discussing extrema; finding and interpreting the meaning of inverse functions; solving exponential and logarithmic equations; modeling with exponential and logarithmic functions; angles and their measures; right triangle trigonometry; all six trigonometric functions and their representations; modeling with sine and cosine; applications of trigonometric functions; simple harmonic motion and other applications of trigonometric functions; inverse trigonometric functions; solving trigonometric equations; verifying identities; law of sines and law of cosines; and further topics, such as elementary limits, as time permits.

Enforced Prerequisite at Enrollment: MATH 21 or satisfactory performance on the mathematics placement examination.