Vector Calculus Courses and Certifications

Jonathan Walters

Stewart Calculus - Vector Calculus

Comprehensive exploration of vector calculus concepts, including line integrals, Green's theorem, surface integrals, and flux, with practical examples and applications.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Math for AI Beginner Part 2 : Vector Calulus

Dive into vector calculus fundamentals for AI applications, exploring gradients, divergence, curl, and integral theorems while understanding their relevance to machine learning and engineering problems.

• Coursera
• 8 hours 58 minutes
• On-Demand
• Paid Course

Gautam Varde

Green's Theorem - Numerical Line Integral in Vector Calculus

हरित प्रमेय का उपयोग करके रेखा समाकलन की गणना और सत्यापन। वेक्टर कैलकुलस की मूल अवधारणाओं को समझने के लिए उपयोगी गणितीय अभ्यास।

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

Gautam Varde

Fundamental Theorem of Line Integrals - Vector Calculus in Hindi

रेखा समाकलों के मौलिक प्रमेय की व्याख्या और उदाहरण के साथ समझाया गया है। सैद्धांतिक अवधारणाओं और व्यावहारिक अनुप्रयोगों पर ध्यान केंद्रित किया गया है।

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

Professor Leonard

Introduction to Vector Fields - And What Makes Them Conservative

Explore vector fields, their graphical representations in 2D and 3D, and the concept of conservative vector fields in this comprehensive introduction.

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

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
• On-Demand
• Free Video

Steve Brunton

Stokes' Theorem and Green's Theorem

Explore Stokes' and Green's theorems, their geometric interpretations, and practical applications in mathematical physics, including examples and land area calculations.

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

Steve Brunton

The Divergence of a Vector Field: Sources and Sinks

Explore the divergence operator in vector calculus, understanding its role in quantifying local expansion or contraction of vector fields, with examples and applications in fluid dynamics.

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

Gautam Varde

Determining Potential Function of Conservative Vector Field

Learn to find potential functions of conservative vector fields through clear explanations and practical examples, enhancing your understanding of vector calculus.

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

Multidimensional Analysis and Geometry: Introduction to the Derivative in Higher Dimensions - Lecture 2

Explore the derivative in higher dimensions, focusing on linear approximations for functions in 3D space. Learn how classical definitions evolve to handle multivariable calculus concepts.

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

Steve Brunton

Directional Derivative, Continuity Equation, and Examples of Vector Fields

Explore directional derivatives, continuity equations, and vector field examples in engineering mathematics, enhancing understanding of fluid dynamics and electromagnetic theory applications.

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

Dot Physics

Mathematical Method to Test for Conservative Fields

Learn a mathematical technique to determine if a vector field is conservative by calculating its curl and verifying if it equals zero.

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

NPTEL;  IIT Kharagpur

Integral and Vector Calculus

Comprehensive exploration of integral and vector calculus, covering Riemann integration, improper integrals, multiple integrals, vector functions, and theorems with applications to mechanics and geometry.

• YouTube
• 1 day 6 hours
• On-Demand
• Free Video

Dot Physics

Calculate the Flux Through the Surface of a Wedge - Two Methods

Learn to calculate flux through a wedge surface using traditional integration and Python-based random number methods, enhancing your vector calculus and computational skills.

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

NPTEL-NOC IITM

Optimization: Vector Case - Part 2

Dive into advanced vector optimization techniques and their practical applications in mathematical problem-solving.

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