CodeForCrack - Calculus and Optimization

Limits, continuity, differentiability, and rules of differentiation with applications like rate of change and tangents.

Learn to expand and approximate functions using Taylor and Maclaurin series.

Find local and global extrema using first and second derivative tests.

Solve real-world optimization problems involving a single variable using calculus techniques.

Understand basic integration techniques including substitution and integration by parts.

Compute areas under and between curves, and volumes using integrals.

Calculate and interpret partial derivatives for multivariable functions.

Understand and compute the total derivative of multivariable functions.

Understand vector calculus operators and compute gradient, divergence, and curl.

Introduction to multivariable optimization, gradient descent, and Lagrange multipliers.

Calculus and Optimization