Lectures related to Volume Calculation: Spheres and Loops

Covers advanced topics in Python programming, focusing on control structures and functions.

Covers Python basics such as syntax, variables, and functions, introducing the Renku platform for collaborative data science.

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

Covers calculating with Taylor series and convexity concepts, including sin(x) and cos(x) approximations.

Covers Morse theory, focusing on critical points and non-degeneracy.

Covers the statement of the Bernoulli's Hospital Rule and its application.

Provides a Python crash course covering basic arithmetics, complex numbers, strings, lists, dictionaries, and more.

Introduces Python programming basics, focusing on functions to enhance code efficiency.

Explores the integration by parts technique through examples, showcasing its step-by-step application to functions like cos(x) and sin(x.

Covers the Implicit Functions Theorem, providing a general understanding of implicit functions.

Covers NumPy arrays and their graphical representations using Matplotlib, focusing on array creation, manipulation, and visualization techniques.

Covers the composition of piecewise functions and introduces the signum and Heaviside functions.

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

Covers the concept of continuity of functions and determining continuity at specific points through examples.

Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.

Presents the solution to finding the second-order Taylor polynomial of a function.

Explores continuous functions and integrability through practical examples.

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

Explores functions' complements, parameter order, and list manipulation, including counting occurrences and solving the '100 prisoners problem'.

Discusses local extrema of functions in two variables around the point (0,0).