Vector Calculus Courses and Certifications

Vector Calculus for Engineers

245 reviews

Learn theoretical foundations and practical applications of Vector Calculus in a 5-week course by The Hong Kong University of Science and Technology. Ideal for engineers.

• Coursera
• 1 day 6 hours
• On-Demand
• Free Online Course (Audit)

Calculus through Data & Modelling: Vector Calculus

33 ratings at Coursera

Explore vector calculus and its real-world applications with Johns Hopkins University's 3-week course. Master advanced mathematics, computer science, and data science foundations.

• Coursera
• 4 hours 42 minutes
• On-Demand
• Free Online Course (Audit)

Vector Calculus for Engineers

2 reviews

Master vector calculus with Hong Kong Polytechnic University's 9-hour program. Learn about dot products, cross products, scalar fields, partial derivatives, and more.

• YouTube
• 9 hours
• On-Demand
• Free Online Course

Vector Calculus

Extend multivariable calculus to vector fields, then apply your new skills by exploring Maxwell's equations.

• Brilliant
• 40-50 hours
• On-Demand
• Paid Course

Jonathan Walters

Stewart Calculus - Vector Functions

Dive into vector functions with Jonathan Walters' concise, under 1-hour material. Master limits, derivatives, integrals, and curvature formulas in calculus.

• YouTube
• 30 minutes
• On-Demand
• Free Online Course

Jonathan Walters

Stewart Calculus - Vector Calculus

Dive into Vector Calculus with Jonathan Walters. Master line integrals, Green's theorem, surface integrals, and more in a 1-2 hour study session.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Online Course

Calculus IV - Vector Calculus - Line Integrals, Surface Integrals, Vector Fields, Green's Theorem, Divergence Theorem, Stokes Theorem

Master vector calculus in six weeks with this comprehensive online program. Learn about line integrals, surface integrals, vector fields, and more. 5 hours of material.

• YouTube
• 5 hours
• On-Demand
• Free Online Course

Dr. Gajendra Purohit

Vector Calculus

Learn vector calculus with Dr. Gajendra Purohit. Topics include vector differentiation, line integrals, Green's, Stoke's, and Gauss divergence theorems. 4-5 hours of material.

• YouTube
• 4 hours 30 minutes
• On-Demand
• Free Online Course

Sean Fitzpatrick

APEX Calculus - Vector Calculus

Learn Vector Calculus with Sean Fitzpatrick's 7-hour material, covering parametric curves, vector fields, line integrals, Green's Theorem, and more. Ideal for Math 2580 students.

• YouTube
• 7 hours
• On-Demand
• Free Online Course

Sean Fitzpatrick

APEX Calculus - Vector-Valued Functions

Dive into vector-valued functions with Sean Fitzpatrick's online material. Learn graphing, algebra, calculus, motion, and curvature in a 4-5 hour study.

• YouTube
• 4 hours 30 minutes
• On-Demand
• Free Online Course

Vector Calculus

Parametric Equations. Parametric surfaces. Tangent plane to a surface. Surface area of a sphere. Area of a polygon. Quick Area of Ellipse. Winding number. Crazy hard or hardly crazy? Don't use FTC. Path Independence. Green's Theorem.

• YouTube
• 9 hours
• On-Demand
• Free Online Course

Steve Brunton

Stokes' Theorem and Green's Theorem

Learn Stokes' and Green's Theorems in under an hour with Steve Brunton. Understand vector field rotation and apply theorems to compute land areas.

• YouTube
• 24 minutes
• On-Demand
• Free Online Course

Professor Leonard

Calculus 3 Lecture - How to Find Divergence and Curl of Vector Fields

Learn to find Divergence and Curl of Vector Fields with Professor Leonard's 1-2 hour material, including an introduction, notes, and a trick question.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Online Course

Michael Penn

Differential Forms - The Exterior Derivative and Vector Calculus

Learn classical vector calculus through the exterior derivative and differential forms in less than an hour with Michael Penn.

• YouTube
• 20 minutes
• On-Demand
• Free Online Course

Michael Penn

Multivariable Calculus - What Is a Vector Field

Learn about vector fields and their graphical examples in less than an hour with Michael Penn. Also, understand the concept of a conservative vector field.

• YouTube
• 23 minutes
• On-Demand
• Free Online Course