All Lessons

Date Title
Apr 15, 2025 AP Review: Taylor Polynomials, Polar Tangents and Logistic Models
Aug 19, 2025 Polynomial Graphing, Critical Points & Quotient Rule
Aug 21, 2025 Derivative Analysis & Quotient Rule
Aug 25, 2025 Product Rule, Chain Rule & Inverse Functions
Aug 28, 2025 Inverse Functions & Chain Rule
Sep 1, 2025 Optimization & Distance to Curves
Sep 5, 2025 Optimization on Ellipses & 3D Surfaces
Sep 11, 2025 The Number e & Binomial Expansion
Sep 15, 2025 Exponential Functions, Logarithms & Their Derivatives
Sep 18, 2025 Taylor/Maclaurin Series & Power Series of ln(1+x)
Sep 22, 2025 Derivatives of Trig Functions & sin(x)/x Limit
Sep 25, 2025 Derivatives of tan & sec — Graphical and Algebraic
Sep 29, 2025 Euler’s Formula & Functional Equations
Oct 2, 2025 Derivative Techniques Review: Chain Rule, Logarithmic Differentiation & Inverse Function Derivatives
Oct 6, 2025 Limits Involving the Definition of e, Power Expansions & Higher Derivatives of Inverse Functions
Oct 9, 2025 Power Series from Known Expansions, Geometric Series, and Partial Fractions
Oct 13, 2025 Related Rates: Distance, Shadows & Velocity Decomposition
Oct 13, 2025 Related Rates: Connecting Changing Quantities with Derivatives
Oct 16, 2025 Related Rates via the Physics (Vector Projection) Method
Oct 20, 2025 Related Rates — Spheres, Cones, and Propagated Error
Oct 23, 2025 Propagated Error & Combining Measurements
Oct 23, 2025 Propagated Error and Logarithmic Differentiation for Percent Error Analysis
Oct 27, 2025 Motion in 2D: Velocity, Speed, Trajectories & Acceleration
Oct 30, 2025 Parametric Motion, Speed vs. Velocity & Proving the Circumference
Nov 3, 2025 From Trajectories to Integrals — Antiderivatives and the Area of a Circle
Nov 6, 2025 Antiderivative of the Semicircle: Geometry Meets Calculus
Nov 27, 2025 Integration by Parts, Complex Exponentials and Volumes
Dec 1, 2025 Mean Value Theorem, Integration Techniques and Volumes
Dec 4, 2025 Solid Geometry and Volumes from Cross Sections
Dec 11, 2025 Center of Mass, Moments and Slicing
Dec 15, 2025 Surface Area, Related Rates and Differential Equations
Dec 18, 2025 Separable Differential Equations and Exponential Series
Dec 22, 2025 Logistic Growth, Partial Fractions and Asymptotes
Dec 25, 2025 Logistic Equations, Partial Fractions and Trig Identities
Dec 29, 2025 Logistic Phase Behavior and Carrying Capacity
Jan 1, 2026 Slope Fields and Separable Differential Equations
Jan 5, 2026 Logistic Model Solutions and Graph Behavior
Jan 8, 2026 Taylor Approximation and Error Estimates
Jan 12, 2026 Convergence, Improper Integrals and Riemann Sums
Jan 12, 2026 Implicit Differentiation, Taylor Expansion and Area
Jan 26, 2026 AP Calculus Review: Limits, Inverses and Tabular Problems
Mar 23, 2026 Power Series and Convergence Tests
Apr 6, 2026 Series, Inverse Derivatives, Polar Curves and Differential Equations
Apr 15, 2026 Supplement: Functional Equations and Recurrences
Apr 16, 2026 Polar Curves, Parametric Derivatives and Logistic Review
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