Calculus: Derivatives and Integrals

Related lectures (27)

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Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

Demonstrates the practical application of theorems in calculus through two clever examples.

Explores improper integrals, convergence criteria, comparison theorems, and solid revolution.

Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.

Introduces fundamental mathematical concepts and their applications in equations and inequalities.

Covers the fundamental concepts of integrals and primitives, including properties and examples.

Covers limits and derivatives in multivariable functions, focusing on continuity, partial derivatives, and the gradient.

Explores Taylor series expansions for derivatives and integrals, with a focus on multiple derivatives and error terms.

Provides solutions to an Analysis I exam, covering various topics.