This is the course schedule.
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 by Stewart, et al.
Prerequisite Topics
The Basics of Arithmetic and Algebra
Triangles and the Pythagorean Theorem
The Coordinate Geometry of Linear and Quadratic Equations
Graphing Lines by Solving for y and Plotting Points , Professor Leonard
Finding x and y Intercepts on a Graph , Professor Leonard
Graphing Lines with the Intercept Method , Professor Leonard
Horizontal and Vertical Lines , Professor Leonard
Introduction to the Slope of a Line , Professor Leonard
Discovering the Slope Formula , Professor Leonard
Finding the Slope of a Line Graphically , Professor Leonard
Using the Slope Formula Given Two Points , Professor Leonard
Graphing Lines Using a Point and the Slope , Professor Leonard
Introduction to Slope-Intercept Form , Professor Leonard
How to Use Slope-Intercept Form , Professor Leonard
Finding Equations of Parallel and Perpendicular Lines , Professor Leonard
Discovering Point-Slope Form , Professor Leonard
Using the Point-Slope Equation of a Line , Professor Leonard
Finding the Equation of a Line From Two Points , Professor Leonard
Introduction to Solving Quadratics , Professor Leonard
The Square Root Method in Solving Quadratics , Professor Leonard
Using Factoring to Solve Quadratics , Professor Leonard
Completing the Square Made Easy , Professor Leonard
Proving the Quadratic Formula , Professor Leonard
Using the Quadratic Formula , Professor Leonard
Graphing Quadratic Functions , Professor Leonard
Analytic Geometry: Functions and their Graphs
§C.1 Using a Graphing Calculator
Introduction to Functions , Professor Leonard
How to Evaluate Functions , Professor Leonard
Finding the Domain of Functions , Professor Leonard
Features of Graphs, Domain, Range , Professor Leonard
Introduction to Graph Transformations , Professor Leonard
How to Graph with Transformations , Professor Leonard
Operations of Functions , Professor Leonard
Composition of Functions , Professor Leonard
One to One Functions , Professor Leonard
Finding 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
§3.1 Angle Measure
Angle , Wikipedia
Decimal degrees , Wikipedia
Minutes and seconds of an arc , Wikipedia
Radian , Wikipedia
Introduction to Angles , Professor Leonard
Converting Degrees, Minutes, and Seconds , Professor Leonard
Introduction to Radians , Professor Leonard
Converting Radians and Degrees , Professor Leonard
Thursday – Polar Geometry Fundamentals
Week Three · September 1
Tues/Thursday – “Unit Circle” Trigonometry
Week Four · September 8
Tuesday – Planar Terrestrial Navigation
Navigation , Wikipedia
Geographic coordinate system , Wikipedia
Latitude , Wikipedia
Longitude , Wikipedia
Prime meridian , Wikipedia
International Meridian Conference , Wikipedia
Horizontal coordinate system , Wikipedia
Azimuth , Wikipedia
Zenith , Wikipedia
True north , Wikipedia
Bearing (navigation) , Wikipedia
Heading (navigation) , Wikipedia
Course (navigation) , Wikipedia
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 , Wikipedia
Proofs of trigonometric identities , Wikipedia
Introduction to Using Trigonometric Identities , Professor Leonard
How to Prove Trigonometric Identities , Professor Leonard
Introduction to Sum and Difference Formulas , Professor Leonard
Using Sum and Difference Formulas , Professor Leonard
Proving the Double and Half Angle Formulas , Professor Leonard
How to Use the Double and Half Angle Formulas , Professor Leonard
How 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 Global Navigation
Geodesy , Wikipedia
History of geodesy , Wikipedia
Geographic coordinate system , Wikipedia
Geodetic coordinates , Wikipedia
Reference ellipsoid , Wikipedia
Vertical deflection , Wikipedia
World Geodetic System , Wikipedia
Rhumb line , Wikipedia
Spherical trigonometry , Wikipedia
Celestial navigation , Wikipedia
Celestial mechanics , Wikipedia
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