Materials (Fall 2024)
Materials (Fall 2024)
The following are the materials that were generated for the Fall 2024 class given by Steve Butler.
Note: Vimeo is a video hosting service which streams a better quality video and never has any ads.
The following are the materials that were generated for the Fall 2024 class given by Steve Butler.
Note: Vimeo is a video hosting service which streams a better quality video and never has any ads.
Rates of change (handout; scanned notes; Vimeo; YouTube)
Basics of limits (handout; scanned notes; Vimeo; YouTube)
One-sided limits (handout; scanned notes; Vimeo; YouTube)
Derivative at a point (handout; scanned notes; Vimeo; YouTube)
Derivative as a function (handout; scanned notes; Vimeo; YouTube)
Derivative rules (handout; scanned notes; Vimeo; YouTube)
Derivative at rate of change (handout; scanned notes; Vimeo; YouTube)
Trigonometric derivatives (handout; scanned notes; Vimeo; YouTube)
Chain rule (handout; scanned notes; Vimeo; YouTube)
Implicit differentiation (handout; scanned notes; Vimeo; YouTube)
Derivatives of inverses and logs (handout; scanned notes; Vimeo; YouTube)
Inverse trig derivatives (handout; scanned notes; Vimeo; YouTube)
Related rates (handout; scanned notes; Vimeo; YouTube)
Linearization (handout; scanned notes; Vimeo; YouTube)
Extreme values (handout; scanned notes; Vimeo; YouTube)
Monotonicity; 1st derivative test (handout; scanned notes; Vimeo; YouTube)
Concavity; 2nd derivative test (handout; scanned notes; Vimeo; YouTube)
Optimization (handout; scanned notes; Vimeo; YouTube)
L'Hopital's rule (handout; scanned notes; Vimeo; YouTube)
Newton's method (handout; scanned notes; Vimeo; YouTube)
Mean value theorem (handout; scanned notes; Vimeo; YouTube)
Antiderivatives (handout; scanned notes; Vimeo; YouTube)
Area and Riemann sums (handout; scanned notes; Vimeo; YouTube)
Riemann sums; Σ notation (handout; scanned notes; Vimeo; YouTube)
Σ notation; Limits of sums (handout; scanned notes; Vimeo; YouTube)
Definite integral (handout; scanned notes; Vimeo; YouTube)
Fundamental Theorems of Calculus (handout; scanned notes; Vimeo; YouTube)
Indefinite integrals; substitution (handout; scanned notes; Vimeo; YouTube)
Definite integrals; substitution (handout; scanned notes; Vimeo; YouTube)
Calculating area using definite integrals (handout; scanned notes; Vimeo; YouTube)
Review day #1 (scanned notes; Vimeo; YouTube)
Review day #2 (scanned notes; Vimeo; YouTube)
Review day #3 (scanned notes; Vimeo; YouTube)