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 |
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.