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- Mathematical Fundamentals
- Geometry I
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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
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
Integral Calculus
- Applications of infinite sums
- Applications of integrals
- Convergence tests
- Integration by parts
- Partial fractions
- Polynomial integrals
- Power series
- Riemann sums
- Substitution rule
- The Fundamental Theorem
- Transcendental integrals
- Trigonometric integrals
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
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