Differential Calculus Courses and Certifications

Introduction to Calculus

6 ratings

Explore key calculus concepts, from precalculus foundations to derivatives and integrals. Develop problem-solving skills applicable to science, engineering, and commerce.

• Coursera
• 2 days 11 hours 24 minutes
• Self-Paced
• Paid Course

Calculus for Engineers

10 ratings

Master university-level calculus tailored for engineers, covering precalculus, derivatives, integrals, Taylor series, and practical applications through concise videos and practice problems.

• Coursera
• 1 day 7 hours 23 minutes
• Self-Paced
• Paid Course

Insights into Mathematics

Dual Complex Numbers and Leibniz's Differentiation Rules - Famous Math Problems

Explore algebraic infinitesimals, dual complex numbers, and Leibniz's differentiation rules in this advanced mathematics lecture, extending calculus to general and finite fields.

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

Multivariable Differential Calculus and Ordinary Differential Equations

Master multivariable differential calculus and ODEs, covering linear algebra, manifolds, gradient descent, backpropagation, and linear systems—ideal for math, CS, physics, and engineering students.

• Swayam
• Self-Paced
• Free Online Course

Excellence Academy

Differential Equations Introduction - Differential Calculus Basics

Explore the fundamentals of differential equations and their applications in calculus, enhancing your mathematical problem-solving skills.

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

Banach Center

Differential Calculus on Quantum Principal Bundles over Projective Base

Explore quantum deformation of algebraic group quotients using sheaf-theoretic methods, focusing on principal bundles and differential calculi over projective bases.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

ACM SIGPLAN

Higher Order Differential Calculus in Mathlib

Explore advanced differential calculus formalization in Lean's Mathlib, covering smooth functions, analytic integration, and domain-specific challenges in mathematical proof systems.

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

Applied Algebraic Topology Network

Differential Calculus on Persistence Barcodes

Explore differential calculus on persistence barcodes, covering differentiability concepts, lifts to ordered barcodes, and applications in topological data analysis.

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

Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra

Master complex variables, differential equations, and linear algebra through 20 MIT videos and study guides, building on calculus foundations with topics like conformal mappings, eigenvectors, and Laplace transforms.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Differential Calculus

Comprehensive exploration of differential calculus concepts, including derivatives, trigonometric and exponential functions, continuity, product and quotient rules, and the chain rule for Grade 12 students.

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

Krista King

Calculus III - Multivariable Calculus, Vector Analysis, and Differential Equations

Master multivariable calculus, vectors, and differential equations through comprehensive coverage of partial derivatives, multiple integrals, 3D geometry, and solution techniques.

• YouTube
• 1 day 6 hours 43 minutes
• Self-Paced
• Free Video

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
• Paid Course