Calculus Fundamentals

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Related lectures (28)

Page 2 of 3

Solutions to QCM 1-3

Covers the solutions to multiple-choice questions 1 to 3.

Mathematical Methods for Materials Science: Integrals, Exact Differentials

Explores limits, derivation rules, integrals, and exact differentials for practical applications.

Mathematical Reminders: Derivatives, Primitives, Integrals

Covers mathematical reminders on derivatives, primitives, and integrals, including common functions and Taylor series expansions.

The Increment Theorem: Understanding Derivatives

Explores the increment theorem and derivatives in calculus, focusing on polygonal valleys and curve traces.

Fundamental Analysis: Integrals and Primitives

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

Integration Exercise

Covers the process of calculating new bounds for integration and solving equations involving integrals and derivatives.

Taylor Series: Derivatives and Integrals

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

Complex Analysis: Derivatives and Integrals

Provides an overview of complex analysis, focusing on derivatives, integrals, and the Cauchy theorem.

Black Holes: Dimensional Analysis and Gravitational Force

Covers the study of black holes and gravitational force.

Integrals of Functions

Covers integrals as the reciprocal function of the derivative and explains displacement integral of velocity and variation of speed and acceleration in rectilinear motion.