Power Series Courses and Certifications

（全英）微积分II

Master advanced calculus concepts in English, covering infinite series, polar coordinates, vector calculus, multiple integrals, and their real-world applications through comprehensive mathematical exploration.

• XuetangX
• On-Demand
• Free Online Course

Calculus Ⅱ

Practice more, learn more! Wish you enjoy this course and get profits from our lectures.

• XuetangX
• On-Demand
• Free Online Course

Calculus II

Master advanced calculus concepts from infinite series to vector calculus, covering multivariate functions, multiple integrals, polar coordinates, and vector fields with practical applications in science and engineering.

• XuetangX
• On-Demand
• Free Online Course

CEC;  National Institute of Technology, Calicut

Riemann Integration and Series of Functions

Explore Riemann integration, series of functions, and advanced calculus concepts. Master uniform convergence, power series, and fundamental theorems. Develop analytical skills for mathematical proofs and applications.

• Swayam
• 16 weeks
• On-Demand
• Free Online Course

blackpenredpen

Calculus - Power Series Representations of Functions

Explore power series representations of functions in calculus, covering various techniques and examples to deepen understanding of this advanced mathematical concept.

• YouTube
• 2 hours 30 minutes
• On-Demand
• Free Video

Insights into Mathematics

Calculus - Math History - N J Wildberger

Explore the historical development of calculus, from ancient Greek origins to Newton and Leibniz's revolutionary work, covering key concepts and influential figures in mathematics.

• YouTube
• 1 hour
• On-Demand
• Free Video

Krista King

AP Calculus BC Comprehensive Review - Short Lessons Collection

Master essential AP Calculus BC concepts through bite-sized lessons covering derivatives, integrals, differential equations, series, and polar/parametric functions.

• YouTube
• 1 hour 42 minutes
• On-Demand
• Free Video

Math with Professor V

Calculus 2 Quick Tips - Integration Techniques, Series, and Applications

Master advanced integration techniques, series convergence tests, and parametric curves through daily practice problems and step-by-step solutions.

• YouTube
• 1 day 12 hours 16 minutes
• On-Demand
• Free Video

Michael Penn

The Genesis of Vertex Algebras

Explore the historical development of vertex algebras with Richard Borcherds, covering key concepts like Leech lattice, Dinkin diagrams, and string theory connections.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Insights into Mathematics

The Language of Algebra - Math Terminology

Essential algebra terminology and concepts for first-year university students, covering polynomials, sequences, series, and rational functions. Includes the Binomial theorem and an introduction to calculus with polynomials.

• YouTube
• 34 minutes
• On-Demand
• Free Video

Steve Brunton

Review of Calculus and First Order Linear ODEs

Comprehensive review of calculus fundamentals and introduction to first-order linear ODEs, with practical examples and applications in engineering mathematics.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Wrath of Math

Exploring the Best Approximation of Euler's Number e

Discover how Richard Sabey created an extraordinary approximation of Euler's number e using digits 1-9, achieving accuracy to over 18 septillion digits, and learn the mathematical principles behind verifying this feat.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Michael Penn

Series Solutions for Differential Equations

Master series solution techniques for differential equations including ordinary points, Frobenius method, and Airy's equation through detailed examples and theoretical foundations.

• YouTube
• 2 hours 46 minutes
• On-Demand
• Free Video

Insights into Mathematics

Chebyshev and Spread Polynumbers - Exploring the Goh Factorization

Explore polynomials in number theory, focusing on Chebyshev and spread polynomials. Learn about the Goh factorization and its implications for modern mathematics and computation.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Joint Mathematics Meetings

Algebraic Structures on Polytopes

Explore algebraic structures on polytopes, delving into combinatorics, Hopf monoids, and generalized permutahedra. Gain insights into mathematical applications and current research directions.

• YouTube
• 58 minutes
• On-Demand
• Conference Talk