Vector Calculus Courses and Certifications

Career Certificate

Integral Calculus through Data and Modeling

151 ratings at Coursera

Apply integral calculus to data and models: work through series, techniques of integration, applications of integration, and vector calculus for questions in the natural and social sciences.

• Coursera
• 4 weeks, 10 hours a week
• Self-Paced
• Paid Course
• 4 courses

Calculus through Data & Modelling: Integration Applications

28 ratings at Coursera

Apply definite integrals to compute the average value of a function, arc length and curvature, velocity and acceleration of space curves, and areas between curves.

• Coursera
• 4 weeks, 1 hour a week
• Self-Paced
• Paid Course

Electrodynamics: An Introduction

641 ratings at Coursera

Learn electrostatics through vector calculus: use the ∇ operator, divergence, curl, and Gauss' and Stokes' theorems to solve Maxwell's equations for fields, potentials, and conductors.

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

Become a Calculus 3 Master

2387 ratings at Udemy

Learn everything from Calculus 3, then test your knowledge with 780+ practice questions

• Udemy
• 1 day 39 minutes
• 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

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

Michael Penn

Calculus of Vector Valued Functions

Master derivatives, integrals, arc length, and curvature of vector-valued functions through detailed examples and explore curves in 3D space with associated vectors and planes.

• YouTube
• 1 hour 35 minutes
• Self-Paced
• Free Video

Tom Rocks Maths

Oxford Calculus - Partial Differentiation, Critical Points, PDEs, and Fourier Series

Master advanced calculus concepts including partial differentiation, critical points, PDEs, Jacobians, Taylor's theorem, heat equations, and Fourier series with Oxford methodology.

• YouTube
• 6 hours 28 minutes
• Self-Paced
• Free Video

Math with Professor V

Sequences and Series - Complete Calculus and Precalculus Course

Master sequences and series fundamentals through comprehensive coverage of convergence tests, power series, Taylor polynomials, and practical problem-solving strategies.

• YouTube
• 1 day 6 hours 32 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

NPTEL;  IIT Kanpur

Introduction to Electromagnetism

3 ratings

This course introduces students to handling electromagnetic theory using vector calculus. This enables students to handle problems that are more complicated than they are used to from their school days.

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

微积分-2

以中英文对照、英文为主，训练级数、傅立叶级数与多元微积分的理解、应用和计算技能。

• XuetangX
• Self-Paced
• Free Online Course

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