Differential Calculus Courses and Certifications

Steve Brunton

Engineering Math - Vector Calculus and Partial Differential Equations

Master vector calculus fundamentals and solve key partial differential equations governing physics, from divergence and curl to heat and wave equations.

• YouTube
• 9 hours 20 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

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

Birla Institute Of Technology And Science–Pilani (BITS–Pilani)

Basic Mathematics

150 ratings at Coursera

Comprehensive introduction to fundamental mathematical concepts, covering complex numbers, trigonometry, matrices, calculus, and differential equations with real-world applications.

• Coursera
• 1 day 3 hours 19 minutes
• Self-Paced
• Free Online Course (Audit)

Math Fundamentals: Integrals

The concept of primitive, (pseudo)immediate primitives, change of variable, integration by parts and definite integral applied to calculus of areas are reviewed.

• edX
• 5 weeks, 4-5 hours/week
• Self-Paced
• Free Online Course (Audit)

Math Fundamentals: Derivatives

Basic course on functions and their derivatives, including their applications to problem solving.

• edX
• 5 weeks, 3-4 hours/week
• Self-Paced
• Free Online Course (Audit)

Basic Math: Derivatives

Master differential calculus fundamentals including function properties, derivative calculations, chain rule, and optimization techniques for early university students.

• Coursera
• 17 hours 24 minutes
• Self-Paced
• Paid Course

Derivatives: a guide to calculation

Dive into the techniques and rules for calculating derivatives of any function, with examples, visuals, and digital tools like Geogebra, Wolfram Alpha, and ChatGPT to enhance understanding and application.

• Coursera
• 5 hours 29 minutes
• Self-Paced
• Paid Course

Introduction to Advanced Calculus

31 ratings at Coursera

Explore advanced calculus concepts, from differential and integral techniques to series representations and differential equations. Enhance problem-solving skills and gain a deeper understanding of mathematical foundations.

• Coursera
• 1 day 14 hours 48 minutes
• Self-Paced
• Paid Course

Applied Math for Materials Science and Engineering

Master fundamental calculus, power series, and differential equations for materials science and engineering applications, building a strong mathematical foundation for physical science research.

• Coursera
• 7 hours 21 minutes
• Self-Paced
• Paid Course

Harvey Mudd College

How Stuff Moves, Part 2: Angular Motion

A Calculus-based introduction to Newtonian mechanics that emphasizes problem-solving.

• edX
• 12 hours
• Self-Paced
• Free Online Course

London School of Economics and Political Science Credential

Mathematics and Statistics Fundamentals

Comprehensive introduction to essential mathematical and statistical concepts, methods, and techniques for quantitative careers or further study. Covers calculus, linear algebra, probability, and statistical analysis.

• edX
• 21 weeks, 9-12 hours/week
• Self-Paced
• $996.00
• 5 courses

OUP Oxford IB Math Studies: Online Textbook Help

Comprehensive video lessons covering IB Mathematical Studies topics, making complex concepts easier to understand and more engaging for students preparing for assignments or exams.

• Study.com
• 17 hours 12 minutes
• Self-Paced
• Paid Course

Equazioni differenziali lineari del secondo ordine

12 ratings

Introduzione rigorosa alle equazioni differenziali lineari del secondo ordine, con focus su equazioni omogenee, non omogenee e applicazioni in modelli fisici.

• Polimi OPEN KNOWLEDGE
• 3 weeks, 5-6 hours a week
• Self-Paced
• Free Certificate

Michael Penn

Differential Forms - The Exterior Derivative and Vector Calculus

Explore the connection between classical vector calculus operators and differential forms, focusing on the exterior derivative and Hodge operator in this concise mathematical explanation.

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