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Courses covered
Calculus Fundamentals
- Continuity
- Derivatives
- Extrema
- Implicit Derivatives
- L'Hôpital's Rule
- Limits
- Newton's Method
- Physics Applications
- The Chain Rule
- The Squeeze Theorem
Multivariable Calculus
- Chain Rule
- Extreme Value Theorem
- Gradient
- Hessian Test for Critical Points
- Jacobians & Variable Changes
- Lagrange Multipliers
- Limits and Continuity
- Multiple Integrals
- Multivariable Functions & Graphs
- Partial Derivatives
Vector Calculus
- Curl
- Differential Forms
- Divergence Theorem
- Flux
- Fourier Transform
- Line Integrals
- Maxwell's Equations
- Parametric Surfaces
- Space Curves
- Stokes' Theorem
- Surface Integrals
- Vector Fields
Trigonometry
- Cosine
- Inverse Trig Functions
- Law of Cosines
- Law of Sines
- Polar Coordinates
- Sine
- Tangent
- The Unit Circle
- Trigonometric Identities
- Wave Frequency
Pre-Calculus
- Conic Sections
- Ellipses
- Exponential Growth
- Hyperbolas
- Log Scales
- Logarithmic Identities
- Parabolas
- Parabolic Mirrors
- Parametric Equations
- Transforming Functions
Calculus in a Nutshell
- Antiderivatives
- Derivatives
- Derivative rules
- The Fundamental Theorem
- Geometric applications
- Geometric series
- Infinite sums
- Integrals
- Limits
- Riemann sums
- Science applications
- Tangent lines
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