These are the recordings, scanned lectures, and handouts for students in a class for Calculus I offered in fall semester 2026.
Note: Vimeo is a video hosting service which streams a better quality video and has no ads.
These are the recordings, scanned lectures, and handouts for students in a class for Calculus I offered in fall semester 2026.
Note: Vimeo is a video hosting service which streams a better quality video and has no ads.
Introduction to the course (syllabus)
Average rate of change --- Handout; blank slides; filled slides; Vimeo; YouTube
Limits --- Handout; blank slides; filled slides; Vimeo; YouTube
Limit practice and squeezing --- Handout; blank slides; filled slides; Vimeo; YouTube
One-sided limits; continuity --- Handout; blank slides; filled slides; Vimeo; YouTube
More continuity; limits with infinity --- Handout; blank slides; filled slides; Vimeo; YouTube
Derivative at a point --- Handout; blank slides; filled slides; Vimeo; YouTube
Derivative as a function --- Handout; blank slides; filled slides; Vimeo; YouTube
Rules for derivatives --- Handout; blank slides; filled slides; Vimeo; YouTube
Derivative as rate of change --- Handout; blank slides; filled slides; Vimeo; YouTube
Derivatives of trigonometric functions --- Handout; blank slides; filled slides; Vimeo; YouTube
Chain rule --- Handout; blank slides; filled slides; Vimeo; YouTube
More practice and review --- Handout; blank slides; filled slides; Vimeo; YouTube
Implicit differentiation --- Handout; blank slides; filled slides; Vimeo; YouTube
Derivatives of inverses and logs --- Handout; blank slides; filled slides; Vimeo; YouTube
Inverse trigonometric functions --- Handout; blank slides; filled slides; Vimeo; YouTube
Related rates --- Handout; blank slides; filled slides; Vimeo; YouTube (bonus handout)
Linearization --- Handout; blank slides; filled slides; Vimeo; YouTube
Extreme values --- Handout; blank slides; filled slides; Vimeo; YouTube
Monotonicity; 1st derivative test --- Handout; blank slides; filled slides; Vimeo; YouTube
Concavity; 2nd derivative test --- Handout; blank slides; filled slides; Vimeo; YouTube
Optimization --- Handout; blank slides; filled slides; Vimeo; YouTube (bonus handout)
More practice and review --- Handout; blank slides; filled slides; Vimeo; YouTube
L'Hospital's rule --- Handout; blank slides; filled slides; Vimeo; YouTube
Newton's method --- Handout; blank slides; filled slides; Vimeo; YouTube
Mean Value Theorem --- Handout; blank slides; filled slides; Vimeo; YouTube
Antiderivatives --- Handout; blank slides; filled slides; Vimeo; YouTube
Area and Riemann sums --- Handout; blank slides; filled slides; Vimeo; YouTube
Riemann sums; sigma-notation --- Handout; blank slides; filled slides; Vimeo; YouTube
Sigma-notation; limits of sums --- Handout; blank slides; filled slides; Vimeo; YouTube
Definite integral --- Handout; blank slides; filled slides; Vimeo; YouTube
Fundamental Theorems of Calculus --- Handout; blank slides; filled slides; Vimeo; YouTube
Indefinite integrals; substitution --- Handout; blank slides; filled slides; Vimeo; YouTube
Definite integrals; substitution --- Handout; blank slides; filled slides; Vimeo; YouTube
Calculating area using definite integrals --- Handout; blank slides; filled slides; Vimeo; YouTube
Separable differential equations --- Handout; blank slides; filled slides; Vimeo; YouTube
Quiz 8 practice (blank; filled; YouTube; Vimeo)
Quiz 9 practice (blank; filled; YouTube; Vimeo)
Quiz 10 practice (blank; filled; YouTube; Vimeo)
Quiz 11 practice (blank; filled; YouTube; Vimeo)
Limits and taking derivatives --- Handout; blank slides; filled slides; Vimeo; YouTube
Advanced differentiation and applications --- Handout; blank slides; filled slides; Vimeo; YouTube
Applications of derivatives and integration --- Handout; blank slides; filled slides; Vimeo; YouTube