Infinite series Courses and Certifications

IIT Madras;  NPTEL

Differential equations for engineers

1 rating

Comprehensive exploration of differential equations and their applications in engineering, covering ODEs, PDEs, and solution methods for various physical phenomena.

• Swayam
• 12 weeks
• Self-Paced
• Free Online Course

Calculus 2 - Full College Course

1 rating

Comprehensive exploration of advanced calculus topics, including integration techniques, series, parametric equations, and polar coordinates, enhancing problem-solving skills in mathematics.

• freeCodeCamp
• 7 hours
• Self-Paced
• Free Video

（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
• Self-Paced
• Free Online Course

Calculus Ⅱ

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

• XuetangX
• Self-Paced
• Free Online Course

IIT Kanpur;  NPTEL

Calculus of One Real Variable

Develop a thorough understanding of fundamental calculus concepts for single variables, essential for sciences, engineering, and economics. Covers limits, derivatives, integration, and series.

• Swayam
• 8 weeks
• Available until Sep 11, 2026
• 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
• Self-Paced
• Free Online Course

Ordinary Differential Equations : Power series, eigenvalues and Green functions

Master techniques for solving Ordinary Differential Equations using power series, eigenvalues, and Green's functions, covering Legendre polynomials, Bessel functions, and boundary value problems.

• Swayam
• Available until Sep 11, 2026
• 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
• Self-Paced
• Free Online Course

Mathematical Modeling

Master advanced mathematical modeling techniques from power series to optimization, applying theoretical concepts to solve real-world problems across engineering, physics, and economics.

• Swayam
• 15 weeks
• Self-Paced
• Free Online Course

Calculus

Investigate the central ideas of calculus and learn how to put them to use.

• Brilliant
• 10-20 hours
• Self-Paced
• Paid Course

Infinity

Expand your mind with the paradoxes and beauties of infinity.

• Brilliant
• 4 hours
• Self-Paced
• Paid Course

Mathologer

Secrets of the Sum of Sums - Paradoxical Harmonic Series

Explore the fascinating properties of the harmonic series, from balanced warm-ups to leaning towers of math, and discover surprising insights into this infinite mathematical sequence.

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

Mathologer

Euler's Infinite Pi Formula Generator

Explore Euler's genius in deriving famous infinite pi formulas, from Leibniz-Madhava to Basel, starting with his groundbreaking infinite product formula for sine.

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

Mathologer

The Proof - E and Pi Are Transcendental

Explore the transcendence of e and pi through seven levels of mathematical enlightenment, from basic irrationality to advanced proofs, in this comprehensive and engaging video.

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