Vector Calculus Courses and Certifications

Vector Calculus for Engineers

266 reviews

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

• Coursera
• 1 day 5 hours 59 minutes
• On-Demand
• Paid Course

Calculus through Data & Modelling: Vector Calculus

50 ratings at Coursera

Explore vector calculus applications, including vector fields, line integrals, and Green's Theorem. Develop advanced mathematical skills for data analysis and real-world problem-solving in multivariable calculus.

• Coursera
• 4 hours 42 minutes
• On-Demand
• Paid Course

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
• On-Demand
• Free Video

Professor Leonard

Line Integrals on Conservative Vector Fields - Independence of Path: Calculus 3 Lecture

Explore line integrals on conservative vector fields, understanding independence of path and the Fundamental Theorem of Line Integrals in this comprehensive calculus lecture.

• YouTube
• 1 hour 54 minutes
• On-Demand
• Free Video

Professor Leonard

Calculus 3 - Velocity and Acceleration of Vector Functions

Explore velocity and acceleration of vector functions, including particle motion, integration for position, acceleration components, and projectile motion applications.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Professor Leonard

Calculus 3 - Derivatives and Integrals of Vector Functions

Explore derivatives and integrals of vector functions, focusing on tangent vectors, space curves, and initial value problems in this comprehensive mathematical lecture.

• YouTube
• 2 hours 42 minutes
• On-Demand
• Free Video

Professor Leonard

Calculus 3 - An Introduction to Vector Functions

Explore vector functions, their interpretation, and graphing techniques, with a focus on 3D representations. Learn to visualize and analyze complex mathematical concepts in multidimensional space.

• YouTube
• 2 hours 5 minutes
• On-Demand
• Free Video

Professor Leonard

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

Learn to calculate and interpret divergence and curl in vector fields, essential concepts in multivariable calculus with clear explanations and examples.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Michael Penn

Differential Forms - The Exterior Derivative and Vector Calculus

Explore the connection between classical vector calculus operators and differential forms, focusing on the exterior derivative and Hodge operator in this concise mathematical explanation.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Gautam Varde

Exact Differential Forms and Equations in Vector Calculus - Problems and Solutions

Learn to identify and solve exact differential forms in vector calculus, with practical problem-solving techniques and applications.

• YouTube
• 13 minutes
• On-Demand
• Free Video

Gautam Varde

Conservative Field: Component Test and Numerical Analysis in Vector Calculus

Learn to identify and analyze conservative fields using the component test, with practical problem-solving techniques in vector calculus.

• YouTube
• 11 minutes
• On-Demand
• Free Video

Gautam Varde

Path Independence in Vector Calculus - Line Integrals and Numerical Problems

Explore path independence in vector calculus through problem-solving, enhancing understanding of line integrals and numerical techniques.

• YouTube
• 15 minutes
• On-Demand
• Free Video

Gautam Varde

Line Integral in Vector Calculus - Numerical Examples

Explore line integrals in vector calculus through practical examples, enhancing your understanding of this crucial mathematical concept.

• YouTube
• 16 minutes
• On-Demand
• Free Video

Gautam Varde

Arc Length of Curves - Parametrization and Applications in Vector Calculus

Learn to calculate arc length using curve parametrization through practical examples and applications in vector calculus.

• YouTube
• 15 minutes
• On-Demand
• Free Video

Gautam Varde

Parametrization of Curves in Vector Calculus - Numericals and Examples

Explore curve parametrization through examples, enhancing understanding of vector calculus concepts and their practical applications in mathematics.

• YouTube
• 12 minutes
• On-Demand
• Free Video