Within each section are links to notes, video lectures,
technology guides, demonstrations,
practice exercises, problems sets, and past midterm exams.
Chapters enumerated with § refer to
Calculus 9E by Stewart
Prerequisite Topics
The Basics of Arithmetic and Algebra
Analytic Geometry: Functions and their Graphs
Introduction to Functions , Professor Leonard (Video)How to Evaluate Functions , Professor Leonard (Video)Finding the Domain of Functions , Professor Leonard (Video)Features of Graphs, Domain, Range , Professor Leonard (Video)Introduction to Graph Transformations , Professor Leonard (Video)How to Graph with Transformations , Professor Leonard (Video)Operations of Functions , Professor Leonard (Video)Composition of Functions , Professor Leonard (Video)One to One Functions , Professor Leonard (Video)Finding Inverse Functions , Professor Leonard (Video)Graphing Lines by Solving for y and Plotting Points , Professor Leonard (Video)Finding x and y Intercepts on a Graph , Professor Leonard (Video)Graphing Lines with the Intercept Method , Professor Leonard (Video)Horizontal and Vertical Lines , Professor Leonard (Video)Introduction to the Slope of a Line , Professor Leonard (Video)Discovering the Slope Formula , Professor Leonard (Video)Finding the Slope of a Line Graphically , Professor Leonard (Video)Using the Slope Formula Given Two Points , Professor Leonard (Video)Graphing Lines Using a Point and the Slope , Professor Leonard (Video)Introduction to Slope-Intercept Form , Professor Leonard (Video)How to Use Slope-Intercept Form , Professor Leonard (Video)Finding Equations of Parallel and Perpendicular Lines , Professor Leonard (Video)Discovering Point-Slope Form , Professor Leonard (Video)Using the Point-Slope Equation of a Line , Professor Leonard (Video)Finding the Equation of a Line From Two Points , Professor Leonard (Video)Introduction to Solving Quadratics , Professor Leonard (Video)The Square Root Method in Solving Quadratics , Professor Leonard (Video)Using Factoring to Solve Quadratics , Professor Leonard (Video)Completing the Square Made Easy , Professor Leonard (Video)Proving the Quadratic Formula , Professor Leonard (Video)Using the Quadratic Formula , Professor Leonard (Video)Graphing Quadratic Functions , Professor Leonard (Video)
The Basics of Trigonometry
Review of Trigonometry , Professor Leonard (Video)Introduction to Angles , Professor Leonard (Video)Introduction to Radians , Professor Leonard (Video)Converting Radians and Degrees , Professor Leonard (Video)Convert From Polar Coordinates to Rectangular Coordinates , Professor Leonard (Video)Convert From Rectangular Coordinates to Polar Coordinates , Professor Leonard (Video)Trigonometric Functions and the Unit Circle , Professor Leonard (Video)How to Use the Unit Circle in Trigonometry , Professor Leonard (Video)Basic Properties of Trigonometric Functions , Professor Leonard (Video)Reciprocal Identities in Trigonometry , Professor Leonard (Video)Pythagorean Identities for Trigonometric Functions , Professor Leonard (Video)Introduction to Right Triangle Trigonometry , Professor Leonard (Video)Finding Sides and Angles with Right Triangle Trigonometry , Professor Leonard (Video)Introduction to Inverse Trigonometric Functions , Professor Leonard (Video)How to Use Inverse Trigonometric Functions , Professor Leonard (Video)How to Find Inverse Trigonometric Functions , Professor Leonard (Video)How to Solve Basic Inverse Trigonometric Functions , Professor Leonard (Video)An Indepth Look at Using Inverse Trig Functions , Professor Leonard (Video)How to Use the Law of Sines , Professor Leonard (Video)How to Use the Law of Cosines , Professor Leonard (Video)How to Find the Area of a Triangle , Professor Leonard (Video)The Graphs of Sine and Cosine , Professor Leonard (Video)Graphing Transformations with Sine and Cosine , Professor Leonard (Video)How to Graph Tangent and Cotangent , Professor Leonard (Video)Graphing Transformations with Tangent and Cotangent , Professor Leonard (Video)How to Graph Cosecant and Secant , Professor Leonard (Video)How to Graph Phase Shifts of Trigonometric Functions , Professor Leonard (Video)Introduction to Using Trigonometric Identities , Professor Leonard (Video)How to Prove Trigonometric Identities , Professor Leonard (Video)Introduction to Sum and Difference Formulas , Professor Leonard (Video)Using Sum and Difference Formulas , Professor Leonard (Video)Proving the Double and Half Angle Formulas , Professor Leonard (Video)How to Use the Double and Half Angle Formulas , Professor Leonard (Video)How to Use Product to Sum and Sum to Product Formulas , Professor Leonard (Video)
Week One · January 19
Monday – Martin Luther King Jr day, No Class
Tuesday – Differential Calculus Overview
Wednesday – Secants, Tangents, and Rates
Thursday – Problem Solving Session
Thursday – Syllabus + Early-Term Assessment
Week Two · January 26
Monday – Introduction to Limits
Tuesday – Evaluating Limits using Limit Laws
Wednesday – Continuity & Some Theorems
Thursday – Problem Solving Session
Week Three · February 2
Monday – Calculator Tutorial TK
Wednes/Thursday – First Midterm Exam
Past Midterm Exams
Week Four · February 9
Monday – The Derivative at a Point
Tuesday – The Derivative as a Function
Wednesday – Basic Differentiation Formulas
Thursday – Problem Solving Session
Week Five · February 16
Monday – Derivatives of Trigonometric Functions
Tuesday – The Chain Rule
Wednesday – Implicit Differentiation
Thursday – Problem Solving Session
Week Six · February 23
Monday – TK Implicit Differentiation (harder than last week, wrt t)
Tues/Wednesday – Related Rates of Change (break into two days)
Thursday – Problem Solving Session
Week Seven · March 2
Wednes/Thursday – Second Midterm Exam
Past Midterm Exams
Prior to Spring 2026, the second and third midterm exams were a single exam.
Week Eight · March 9
This whole week should be refactored ... think about it.
Monday – Extrema and Points of Inflection
Tuesday – Some Theorems
Wednesday – Asymptotics
Thursday – Problem Solving Session
Week Nine · March 16
Week Ten · March 23
Mon/Tuesday – Optimization
Wednesday – Newton’s Method
Thursday – Problem Solving Session
Week Eleven · March 30
Wednes/Thursday – Third Midterm Exam
Past Midterm Exams
Prior to Spring 2026, the second and third midterm exams were a single exam.
Week Twelve · April 6
Monday – Integral Calculus Overview
Tuesday – Summation Notation and Riemann Sums
Wednesday – Antiderivatives
Thursday – Problem Solving Session
Week Thirteen · April 13
Monday – Definite Integrals
Tuesday – The Fundamental Theorem of Calculus
Wednesday – Indefinite Integrals
Mon/Tuesday – Change of Coordinates: Integration by Substitution
Thursday – Problem Solving Session
Week Fourteen · April 20
Wednesday – Areas Between Curves
Mon/Tuesday – Volumes of Solids from their Cross-Sections
Wednesday – Work (and other physics? TK)
Thursday – Problem Solving Session
Thursday – Problem Solving Session
Week Fifteen · April 27
Wednes/Thursday – Fourth Midterm Exam
Past Midterm Exams
Prior to Spring 2026, this midterm was the third midterm exams.
Week Sixteen · May 4
Final Exam