Interactive calculus lecture notes with video and Desmos graphs.
Lessons
| Aug 19 |
Polynomial Graphing, Critical Points & Quotient Rule |
| Aug 21 |
Derivative Analysis & Quotient Rule |
| Aug 25 |
Product Rule, Chain Rule & Inverse Functions |
| Aug 28 |
Inverse Functions & Chain Rule |
| Sep 01 |
Optimization & Distance to Curves |
| Sep 05 |
Optimization on Ellipses & 3D Surfaces |
| Sep 11 |
The Number e & Binomial Expansion |
| Sep 15 |
Exponential Functions, Logarithms & Their Derivatives |
| Sep 18 |
Taylor/Maclaurin Series & Power Series of ln(1+x) |
| Sep 22 |
Derivatives of Trig Functions & sin(x)/x Limit |
| Sep 25 |
Derivatives of tan & sec — Graphical and Algebraic |
| Sep 29 |
Euler’s Formula & Functional Equations |
| Oct 02 |
Derivative Techniques Review: Chain Rule, Logarithmic Differentiation & Inverse Function Derivatives |
| Oct 06 |
Limits Involving the Definition of e, Power Expansions & Higher Derivatives of Inverse Functions |
| Oct 09 |
Power Series from Known Expansions, Geometric Series & Partial Fractions |
| Oct 13 |
Related Rates: Connecting Changing Quantities with Derivatives |
| Oct 13 |
Related Rates: Distance, Shadows & Velocity Decomposition |
| Oct 16 |
Related Rates via the Physics (Vector Projection) Method |
| Oct 20 |
Related Rates — Spheres, Cones & Propagated Error |
| Oct 23 |
Propagated Error & Combining Measurements |
| Oct 23 |
Propagated Error & Logarithmic Differentiation for Percent Error |
| Oct 27 |
Motion in 2D: Velocity, Speed, Trajectories & Acceleration |
| Oct 30 |
Parametric Motion, Speed vs. Velocity & Proving the Circumference |
| Nov 03 |
From Trajectories to Integrals — Antiderivatives & the Area of a Circle |
| Nov 06 |
Antiderivative of the Semicircle: Geometry Meets Calculus |