Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.
Covers integration by change of variables and the derivation in chain rule.
Covers the bisection method for finding zeros of continuous functions.
Covers the definitions of continuous functions and derivatives, emphasizing the concept of functions being continuous at a point and the notion of derivatives.
Explores the continuity of elementary functions and the properties of continuous functions on closed intervals.
Explores continuous and derivable functions on closed intervals.
Covers the surjectivity of the derivative application for continuous functions on closed intervals.
Covers the bisection method for finding function roots within intervals and its geometric interpretation.
Explores Runge Kutta and multistep methods for solving ODEs, including Backward Euler and Crank-Nicolson.
Discusses the Extreme Values Theorem for continuous functions on closed intervals.
