Mathematics Courses and Certifications

NPTEL;  IIT Madras

Algebra 1

Foundational PG level course in Algebra, suitable for M.Sc and first-year Ph.D. students in Mathematics. Learn Permutations. Group Axioms. Order and Conjugacy. Subgroups. Problem solving. Group Actions. Cosets. Group Homomorphisms. Normal subgroups. Quti…

• YouTube
• 1 day 11 hours
• Self-Paced
• Free Video

NPTEL;  IISc Bangalore

Introduction to Algebraic Geometry and Commutative Algebra

Explore algebraic geometry and commutative algebra, covering topics from affine algebraic sets to integral extensions. Gain insights into key theorems and principles in this advanced mathematics course.

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

NPTEL;  IIT Bombay

Commutative Algebra

Comprehensive exploration of commutative algebra concepts through 60 lectures, covering fundamental principles and advanced topics for a deep understanding of algebraic structures.

• YouTube
• 1 day 5 hours
• Self-Paced
• Free Video

NPTEL;  IIT Delhi

Advanced Probability Theory

The course introduces the concept of probability through Kolmogorov’s Axioms. It develops the concept of probability density function, cumulative distribution function, and introduces the concept of a random variable.

• YouTube
• 1 day 5 hours
• Self-Paced
• Free Video

NPTEL;  IISc Bangalore

Linear Algebra

The main purpose of this course is the study of linear operators on finite dimensional vector spaces. The idea is to emphasize the simple geometric notions common to many parts of mathematics and its applications.

• YouTube
• 1 day 9 hours
• Self-Paced
• Free Video

NPTEL;  IIT Kharagpur

Probability and Statistics

Comprehensive exploration of probability and statistics concepts, covering fundamental principles, algebraic structures, and advanced topics through 79 detailed lectures.

• YouTube
• 1 day 14 hours
• Self-Paced
• Free Video

NPTEL;  IIT Kanpur

Differential Calculus in Several Variables

This is part of a standard course contents in Several Variable Calculus. The idea of the course is to provide students with different backgrounds a common platform to take up further topics in Mathematics, Physics and Engineering.

• YouTube
• 9 hours
• Self-Paced
• Free Video

Math Sorcerer

Learn Calculus 1 in One Video

Comprehensive Calculus 1 video covering limits, derivatives, integrals, and theorems. Ideal for college-level understanding with detailed explanations and numerous examples.

• YouTube
• 5 hours 22 minutes
• Self-Paced
• Free Video

The Organic Chemistry Tutor

Algebra Final Exam Review

Comprehensive algebra review covering key concepts like polynomials, linear equations, exponents, and quadratic equations. Includes multiple-choice and free-response questions for exam preparation.

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

Derek Banas

Probability for Data Science & Machine Learning

Comprehensive overview of probability concepts for data science and machine learning, covering key formulas and real-world applications in a concise, accessible format.

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

Brian McLogan

Simplify Trigonometric Expressions With Identities

Master trigonometric expression simplification through 24 practical examples, enhancing your problem-solving skills and deepening your understanding of trigonometric identities.

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

Krista King

What Does a Double Integral Represent?

Explore the concept of double integrals, comparing them to single integrals and visualizing their representation of volume under a surface in multivariable calculus.

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

Krista King

Trig Identities - What Are They?

Comprehensive guide to trigonometric identities, covering types, proofs, and memorization techniques. Explains their importance in simplifying expressions and solving complex problems.

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

Krista King

Trig Substitution - How to Solve

Comprehensive guide to trigonometric substitution in integration, covering when and how to use it, step-by-step problem-solving, and practical examples for different substitution types.

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

Krista King

Exponents - What Are They?

Comprehensive guide to exponents, covering definition, notation, rules, and applications. Explains various scenarios including zero, negative, and fractional exponents, with clear examples and practical tips for problem-solving.

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