Within each section are links to textbook chapters, written notes,
video lectures, in-class display notes, exercises and problems, and past midterm exams.
Chapters enumerated with § refer to
Trigonometry | 2nd Edition
Week Zero · Prerequisite Topics
Triangles and the Pythagorean Theorem
The Basics of Arithmetic and Algebra
The Coordinate Geometry of Linear and Quadratic Equations
Graphing Lines by Solving for y and Plotting Points , Professor LeonardFinding x and y Intercepts on a Graph , Professor LeonardGraphing Lines with the Intercept Method , Professor LeonardHorizontal and Vertical Lines , Professor LeonardIntroduction to the Slope of a Line , Professor LeonardDiscovering the Slope Formula , Professor LeonardFinding the Slope of a Line Graphically , Professor LeonardUsing the Slope Formula Given Two Points , Professor LeonardGraphing Lines Using a Point and the Slope , Professor LeonardIntroduction to Slope-Intercept Form , Professor LeonardHow to Use Slope-Intercept Form , Professor LeonardFinding Equations of Parallel and Perpendicular Lines , Professor LeonardDiscovering Point-Slope Form , Professor LeonardUsing the Point-Slope Equation of a Line , Professor LeonardFinding the Equation of a Line From Two Points , Professor LeonardIntroduction to Solving Quadratics , Professor LeonardThe Square Root Method in Solving Quadratics , Professor LeonardUsing Factoring to Solve Quadratics , Professor LeonardCompleting the Square Made Easy , Professor LeonardProving the Quadratic Formula , Professor LeonardUsing the Quadratic Formula , Professor LeonardGraphing Quadratic Functions , Professor Leonard
Analytic Geometry: Functions and their Graphs
§C.1 Using a Graphing Calculator
Introduction to Functions , Professor LeonardHow to Evaluate Functions , Professor LeonardFinding the Domain of Functions , Professor LeonardFeatures of Graphs, Domain, Range , Professor LeonardIntroduction to Graph Transformations , Professor LeonardHow to Graph with Transformations , Professor LeonardOperations of Functions , Professor LeonardComposition of Functions , Professor LeonardOne to One Functions , Professor LeonardFinding Inverse Functions , Professor Leonard
Week One · August 18
Tuesday – Rectangular Geometry Fundamentals
Thursday – Syllabus + Early-Term Assessment
Week Two · August 25
Tuesday – Angle Measure & Technology Demo
Thursday – Polar Geometry Fundamentals
Week Three · September 1
Tues/Thursday – “Unit Circle” Trigonometry
Week Four · September 8
Tuesday – Planar Terrestrial Navigation
Thursday – First Midterm Exam
Past Midterm Exams
The order of topics in this course has changed slightly since 2025Spring.
Week Five · September 15
Tuesday – “Right Triangle” Trigonometry
Thursday – Inverse Trigonometric (Cyclometric) Functions
Week Six · September 22
Tues/Thursday – The Law of Sines & Law of Cosines
Week Seven · September 29
Tuesday – The Law of Sines & Law of Cosines Redux
Thursday – Second Midterm Exam
Past Midterm Exams
The order of topics in this course has changed slightly since 2025Spring.
Week Eight · October 6
Thursday – Graphs of Trigonometric Functions
Thursday – Trigonometric Identities
§4.1 Trigonometric Identities
§4.2 Addition and Subtraction Formulas
§4.3 Double-Angle, Half-Angle, Product-Sum Formulas
List of trigonometric identities , WikipediaProofs of trigonometric identities , WikipediaIntroduction to Using Trigonometric Identities , Professor LeonardHow to Prove Trigonometric Identities , Professor LeonardIntroduction to Sum and Difference Formulas , Professor LeonardUsing Sum and Difference Formulas , Professor LeonardProving the Double and Half Angle Formulas , Professor LeonardHow to Use the Double and Half Angle Formulas , Professor LeonardHow to Use Product to Sum and Sum to Product Formulas , Professor Leonard
Week Nine · October 13
Tuesday – Sinusoidal Modelling & Harmonic Motion
Thursday – Third Midterm Exam
Past Midterm Exams
The order of topics in this course has changed slightly since 2025Spring.
Week Ten · October 20
Tuesday – Vectors in Two-Dimensional Space
Thursday – The Dot Product & Projections
Week Eleven · October 27
Tuesday – Three-Dimensional Rectangular Geometry
Thursday – Vectors in Three-Dimensional Space
Week Twelve · November 3
Tues/Thursday – The Cross Product & Areas
Week Thirteen · November 10
Tuesday – Lines and Planes in Three-Dimensional Space
Thursday – Distances Between Points, Lines, and Planes
Week Fourteen · November 17
Tuesday – Spherical Trigonometry and Global Navigation
Thursday – Fourth Midterm Exam
Past Midterm Exams
Week Fifteen · November 24
Thanksgiving Break, No Class
Week Sixteen · December 1
Final Exam
Thursday December 11 @ 10am