Multivariable Calculus Courses and Certifications

Mathematics for Machine Learning: Multivariate Calculus

9 ratings

Build the calculus toolkit behind machine learning: derivatives and the chain rule, Jacobians and Hessians, Taylor series, gradient descent, and linear regression fitted in Python.

• Coursera
• 6 weeks, 3 hours a week
• Self-Paced
• Paid Course

Multivariable Calculus

2 ratings

This course covers vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space.

• MIT OpenCourseWare
• 28 hours
• Self-Paced
• Free Video

Multivariable Calculus

Master differential, integral and vector calculus of several variables: partial derivatives, Lagrange multipliers, double and triple integrals, line integrals, and Green's, Stokes' and divergence theorems.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Multivariable Calculus 2: Integrals

Compute double and triple integrals in different coordinate systems, find flux across curves and work along them, and connect results via Green's Theorem.

• MITx Online
• 15 weeks, 6 hours/week
• Self-Paced
• Free Online Course

Multivariable Calculus 1: Vectors and Derivatives

Extend the derivative to higher dimensions: visualize functions with level curves and surfaces, compute partial derivatives, directional derivatives and gradients, and optimize under constraints.

• MITx Online
• 15 weeks, 6 hours a week
• Self-Paced
• Free Online Course

Calculus Revisited: Multivariable Calculus

Herb Gross's 1971 video series revisits calculus of several variables, from vector and matrix arithmetic through partial derivatives, multiple integrals, line integrals and Green's theorem.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

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

NPTEL;  IIT Roorkee

Multivariable Calculus

This course includes topics like differentiation and integration of the functions of two or more variables together with their various applications. This course also includes the calculus of vector functions with different applications.

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

Calculus II: Multivariable Functions

9 ratings at edX

This course provides an overview of bachelor-level calculus of multivariable functions (Calculus II). You will review many basic concepts related to differentiation and integration of multivariable fu

• edX
• 6 weeks, 4-6 hours a week
• Self-Paced
• Free Online Course (Audit)

Understanding Multivariable Calculus: Problems, Solutions, and Tips

63 ratings at The Great Courses Plus

<p>Gain a profound understanding of multivariable calculus with this excellent and clear guide that is useful for students, professionals, and lovers of mathematics.</p>

• The Great Courses Plus
• 18 hours 23 minutes
• Self-Paced
• Free Trial Available

Multivariable Differential Calculus and Ordinary Differential Equations

Rigorous multivariable calculus connects the implicit function theorem and differential equations with gradient descent and backpropagation.

• Swayam
• Available until Oct 9, 2026
• Free Online Course

Multivariable Calculus, Online Video Course: Wolfram U

Extend calculus to higher dimensions: plot functions of two and three variables, compute partial derivatives and gradients, evaluate double, triple, line and surface integrals.

• Wolfram U
• 10 hours
• Self-Paced
• Free Certificate

Vector Calculus for Engineers

268 ratings

This course is about vector calculus, and covers material that all engineers should know.

• Coursera
• 5 weeks, 6 hours a week
• Self-Paced
• Paid Course

Michael Penn

Multivariable Calculus

Master vector calculus fundamentals through comprehensive coverage of derivatives, integrals, and theorems in multiple dimensions with practical applications.

• YouTube
• 19 hours 34 minutes
• Self-Paced
• Free Video

Michael Penn

Multivariable Calculus - Multiple Integrals

Master multiple integrals, coordinate transformations, and fundamental theorems like Green's and Divergence through comprehensive examples and applications.

• YouTube
• 9 hours 13 minutes
• Self-Paced
• Free Video