Lectures related to Trigonometric substitution

Trigonometric Equations: Bioche Rule

Explains the Bioche rule for solving trigonometric equations using substitutions and tests of invariance.

Immediate Integration

Covers immediate integration methods for solving integrals directly without complex calculations.

Integration Techniques: Change of Variable

Explores integration by substitution technique with examples and verification.

Integral Techniques: Change of Variable

Covers integration techniques with a focus on substitution and verification through examples.

Improper integrals: Techniques and Examples

Covers improper integrals techniques and examples, exploring convergence and absolute convergence.

Integration Techniques: Change of Variable

Covers the formula for changing variables in integration and explores indefinite integrals with trigonometric substitutions.

Integration by Substitution

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

Improper integrals: Techniques and Examples

Covers examples of integration by substitution and rational functions.

Integration Techniques: Change of Variable and Integration by Parts

Explores advanced integration techniques such as change of variable and integration by parts to simplify complex integrals and solve challenging integration problems.

Examples of Integrals

Covers various examples of integrals, emphasizing trigonometric substitutions and techniques.

Compound Functions: Development and Analysis

Covers the development and analysis of compound functions and the importance of analyzing the larger term in power series.

Fundamental Theorem of Calculus

Covers the fundamental theorem of calculus, immediate integration, and properties of derivatives, with examples of integration by substitution.

Fundamental theorems of calculus and computing techniques

Explores fundamental theorems of calculus and techniques for computation, including integration by parts and substitution.

General Mathematics I - Integration Techniques

Covers integration techniques like parts and substitution with illustrative examples.

Solving Recurrences: Master Method

Covers the substitution method, Master Theorem, and recursion trees for efficient algorithm analysis.

Polynomial Applications: Combinatorial Computations

Delves into using polynomials for combinatorial computations and explores operations and identities with binomial coefficients.

Avoiding Variable Capture

Explores variable capture in higher-order functions and the importance of variable renaming.

Evaluation and Operators

Explores class evaluation, extension methods, and operator implementation in Scala.

Integration: more examples and rational functions

Covers antiderivatives, fundamental theorems, integration techniques, and rational functions.

Solving Recurrences and Recursion Trees

Covers techniques for solving recurrences and introduces the Master Theorem.