Within each section are a list of corresponding textbook chapters,
as well as links to notes, video lectures, tech demonstrations,
practice exercises, problems sets, and past midterm exams.
Chapters enumerated with § refer to
Calculus 9E by Stewart .
Topics marked like
are extracurricular and won’t appear on exams.
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 – Secants, Tangents, and Rates
Wednesday – 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
Tuesday –
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 – Implicit Differentiation
Tues/Wednesday – Related Rates of Change
Thursday – Problem Solving Session
Week Seven · March 2
Mon/Tuesday –
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
Monday – Extrema and Inflection Points
Tuesday – Asymptotics & Some Theorems
Wednesday – Sketching the Graph of a Function
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
Mon/Tuesday –
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 – Antiderivatives
Monday – Summation Notation
Monday – Integral Calculus Overview
Monday – Definite Integrals
Thursday – Problem Solving Session
Week Thirteen · April 13
Monday – The Fundamental Theorem of Calculus
Tuesday – Indefinite Integrals
Wednesday – Integration by Substitution; Change of Coordinates
Thursday – Problem Solving Session
Week Fourteen · April 20
Monday – Areas Between Curves
Tuesday – Volumes of Solids from their Cross-Sections
Wednesday – Work
Thursday – Problem Solving Session
Week Fifteen · April 27
Mon/Tuesday –
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
References
Stewart’s Calculus 9E
James Stewart, Daniel Clegg, and Saleem Watson
© 2021, 2016 Cengage Learning Inc
www.stewartcalculus.com
Spivak’s Calculus Fourth Edition
Michael Spivak © 2008
Publish or Perish, Inc.
ISBN: 978-0-914098-91-1
Calculus: An Intuitive and Physical Approach
Morris Kline
© 1967, 1977 John Wiley & Sons Inc
Republished 1998 by Dover
Strang’s Calculus
Gilbert Strang © 1991
Published by Wellesley-Cambridge Press
ocw.mit.edu/courses/res-18-001-calculus-fall-2023/pages/textbook/