The Fundamental Theorem of Calculus is a cornerstone of calculus, linking the concepts of differentiation and integration. This video provides a thorough and accessible explanation of this important ...

To all the new readers: Ready for some math? We love math here at Casting Out Nines, and I’ll be taking at least one day a week to talk about a math topic specifically. If you have a math post you’d ...

Concepts covered in this course include: standard functions and their graphs, limits, continuity, tangents, derivatives, the definite integral, and the fundamental theorem of calculus. Formulas for ...

Graphs of Sine and Cosine 1.2 An applet illustrating how the graphs of sine and cosine are related to the unit circle. Transformations of Functions 1.3 An applet illustrating how transformations ...

Wolfram|Alpha: The makers of Mathematica (a very powerful mathematical software package, popular amongst applied mathematicians and engineers) bring us a "google-like" mathematical search engine. In ...

THIS little volume has been designed as a first course in the calculus for Indian students. The treatment is the outcome of years of experiment and observation and the method followed is, as the ...

Get an easy, step-by-step explanation of the Gauss Divergence Theorem designed to make this important vector calculus concept clear and approachable. This video breaks down the intuition, geometry, ...

The principal reference for this syllabus is: [1] J.K. Hunter and B. Nachtergaele, Applied Analysis. With the exception of the topics from advanced calculus, a question may appear on the exam if and ...