Math Fundamentals Courses and Certifications

Wrath of Math

Is This the Worst Math Homework Ever? - Analyzing an Impossible Reddit Math Problem

Explore a seemingly impossible math homework problem from Reddit that challenges conventional problem-solving approaches and mathematical reasoning skills.

• YouTube
• 18 minutes
• Self-Paced
• Free Video

Insights into Mathematics

Elementary Mathematics Explained - K-6

Discover fundamental math concepts through visual geometry, arithmetic patterns, and practical applications designed for elementary education and teacher development.

• YouTube
• 19 hours 53 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Analytic Stacks - New Foundations for Analytic Geometry

Explore revolutionary foundations for analytic geometry through light condensed abelian groups, analytic rings, and stacks with leading mathematicians Clausen and Scholze.

• YouTube
• 1 day 20 hours 4 minutes
• Self-Paced
• Free Video

The Organic Chemistry Tutor

Slope Fields - Calculus

Learn to draw slope fields, sketch solution curves, and solve differential equations using practical examples and exercises in this comprehensive calculus tutorial.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 3 - Cylinders and Surfaces in 3-D

Comprehensive guide to identifying and hand-sketching 3D geometric shapes, including cylinders, ellipsoids, hyperboloids, cones, paraboloids, and hyperbolic paraboloids in calculus.

• YouTube
• 2 hours 32 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 2 - Approximation of Functions by Taylor Polynomials

Explore the approximation of functions using Taylor polynomials, a powerful mathematical tool for estimating complex functions with simpler polynomial expressions.

• YouTube
• 1 hour 34 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 2 - Representation of Functions by Taylor Series and Maclaurin Series

Explore Taylor and Maclaurin series for representing functions, enhancing your understanding of advanced calculus concepts and their practical applications.

• YouTube
• 3 hours 2 minutes
• Self-Paced
• Free Video

NPTEL;  IIT Kharagpur

Transform Calculus and Its Applications in Differential Equations

Comprehensive exploration of integral transforms, focusing on Laplace and Fourier transforms, their properties, and applications in solving differential equations and boundary value problems.

• YouTube
• 1 day 6 hours
• Self-Paced
• Free Video

NPTEL;  IIT Kharagpur

Integral and Vector Calculus

Comprehensive exploration of integral and vector calculus, covering Riemann integration, improper integrals, multiple integrals, vector functions, and theorems with applications to mechanics and geometry.

• YouTube
• 1 day 6 hours
• Self-Paced
• Free Video

NPTEL;  IIT Kanpur

Calculus of Variations and Integral Equations

In this course you will learn, Calculus of Variations, Integral Equations, Concepts of the calculus of variations, Variational problems with the fixed boundaries, Variational problems with moving boundaries, etc.

• YouTube
• 1 day 12 hours
• Self-Paced
• Free Video

NPTEL;  IIT Kanpur

Calculus of One Real Variable

This course intends to develop a thorough understanding of the fundamental aspects of calculus of a single variable which is a fundamental tool in Sciences, Engineering and Economics.

• YouTube
• 1 day 1 hour
• Self-Paced
• Free Video

Eddie Woo

Differential Calculus - Trigonometric Functions and Limits

Master trigonometric derivatives and limits through convergence analysis, radian measure applications, and advanced proof techniques for calculus mastery.

• YouTube
• 1 hour 45 minutes
• Self-Paced
• Free Video

Insights into Mathematics

Real Numbers and Limits

Explore fundamental concepts of real numbers, limits, and mathematical foundations through critical examination of infinity, sequences, and numerical approximation methods.

• YouTube
• 17 hours 19 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 2 - Solving First Order Differential Equations By Separation of Variables

Learn to solve first-order differential equations using separation of variables, a fundamental technique in calculus. Master this essential skill for advanced mathematical problem-solving.

• YouTube
• 2 hours 49 minutes
• Self-Paced
• Free Video

eHowEducation

Math Problems and Trigonometry - Multiple Topics Including Integration, Chain Rule, and Fibonacci Numbers

Master diverse mathematical concepts from multiplication techniques to calculus integration and trigonometric functions in this comprehensive tutorial series.

• YouTube
• 38 minutes
• Self-Paced
• Free Video