Differential Calculus Courses and Certifications

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

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

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

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

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

Calculus through Data & Modeling: Applying Differentiation

60 ratings at Coursera

Apply differentiation to optimize functions, estimate complex equations, and solve real-world problems in data analysis, machine learning, and business through linear approximations and multivariable calculus techniques.

• Coursera
• 7 hours 6 minutes
• Self-Paced
• Paid Course

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

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

Complexity Theory - Running Time Analysis of Algorithms

2418 ratings at Udemy

Learn Asymptotic Complexity, Running Times Analysis (O, Ω, θ) and Complexity Classes (P and NP)

• Udemy
• 1 hour 56 minutes
• Self-Paced
• Free Online Course

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

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

33 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