Vector Calculus Courses and Certifications

Professor Leonard

Surface and Flux Integrals, Parametric Surf., Divergence-Stoke's Theorem: Calculus 3 Lecture

Comprehensive exploration of advanced calculus concepts including surface integrals, flux integrals, and theorems, with practical applications and problem-solving techniques.

• YouTube
• 3 hours 32 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 3 Lecture - The Cross Product

Explore vector cross products, determinants, orthogonal vectors, torque, and geometric applications. Master advanced calculus concepts with in-depth proofs and practical examples.

• YouTube
• 2 hours 11 minutes
• Self-Paced
• Free Video

Mathologer

Secrets of the Sum of Sums - Paradoxical Harmonic Series

Explore the fascinating properties of the harmonic series, from balanced warm-ups to leaning towers of math, and discover surprising insights into this infinite mathematical sequence.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Sebastian Lague

Coding Adventure - Simulating Smoke

Dive into grid-based fluid simulation programming to create realistic smoke effects using Navier-Stokes equations, pressure solving, and advanced rendering techniques.

• YouTube
• 42 minutes
• Self-Paced
• Free Video

eHowEducation

Lessons in Physics and Chemistry

Explore fundamental physics and chemistry concepts through practical examples, from quantum theory to aerodynamics, nuclear decay, and everyday phenomena.

• YouTube
• 1 hour 44 minutes
• Self-Paced
• Free Video

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

Physics with Professor Matt Anderson

Motion in Two Dimensions - Module 4

Master two-dimensional motion through projectile physics, relative motion, and vector kinematics with practical examples like bullets, baseballs, and river crossings.

• YouTube
• 2 hours 16 minutes
• Self-Paced
• Free Video

Math with Professor V

Calculus 2 Quick Tips - Integration Techniques, Series, and Applications

Master advanced integration techniques, series convergence tests, and parametric curves through daily practice problems and step-by-step solutions.

• YouTube
• 1 day 12 hours 16 minutes
• Self-Paced
• Free Video

Michel van Biezen

Momentum and Impulse Review

1 rating

Master momentum and impulse fundamentals through comprehensive physics review covering basics, 2D applications, and real-world problem-solving techniques.

• YouTube
• 32 minutes
• Self-Paced
• Free Video

Steve Brunton

The Curl of a Vector Field - Measuring Rotation

Explore the curl operator in vector calculus, understanding its role in measuring rotation in vector fields and its applications in fluid dynamics, including vorticity and tornado analysis.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

The Julia Programming Language

Matrix Calculus for Linear Algebra - MIT 18.06 Spring 2020

Comprehensive exploration of matrix calculus, covering gradients, Jacobians, and advanced concepts. Ideal for those seeking a deep understanding of mathematical foundations in linear algebra.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Tom Rocks Maths

Oxford Calculus - Gradient and Divergence Explained

Comprehensive explanation of gradient vector and divergence in multivariable calculus, including formal definitions, visualizations, examples, and connections to other concepts. Includes free worksheet and app recommendations.

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

Steve Brunton

Gauss's Divergence Theorem

Explore Gauss's Divergence Theorem, a fundamental tool in mathematical physics for deriving conservation laws and translating them into partial differential equations.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

Mathemaniac

Exponentiating Vectors, Derivatives, and Vector Fields - Mathematical Concepts Explained

Explore the concept of exponentiation applied to vectors, derivatives, and vector fields, uncovering connections between seemingly different mathematical ideas and their practical applications.

• YouTube
• 30 minutes
• Self-Paced
• Free Video