Multivariable Calculus Courses and Certifications

Professor Leonard

Calculus 3 - Cylinders and Surfaces in 3-D

Learn to identify and hand-sketch cylinders, ellipsoids, hyperboloids, cones, paraboloids, and hyperbolic paraboloids in three dimensions.

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

Professor Leonard

Calculus 3 - Using Cylindrical and Spherical Coordinates

Learn to convert between rectangular, cylindrical, and spherical coordinates and transform equations between these coordinate systems.

• YouTube
• 1 hour 40 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 3 - Lines and Planes in 3-D

Explores how to represent and analyze lines and planes in three dimensions using parametric and symmetric equations, normals, intersections, and distances.

• YouTube
• 3 hours 21 minutes
• Self-Paced
• Free Video

Krista King

Precise Definition of the Limit for Multivariable Functions

Learn the precise epsilon-delta definition of limits for multivariable functions.

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

Krista King

Partial Derivatives and Multivariable Calculus

Master multivariable calculus concepts including partial derivatives, gradients, optimization, and Lagrange multipliers through comprehensive problem-solving techniques.

• YouTube
• 5 hours 49 minutes
• Self-Paced
• Free Video

The Julia Programming Language

Matrix Calculus for Linear Algebra - MIT 18.06 Spring 2020

Learn matrix calculus through linearization, geometric gradients, Jacobians, and derivatives of matrix-valued functions.

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

NPTEL;  IIT Kanpur

Differential Calculus in Several Variables

This is part of a standard course contents in Several Variable Calculus. The idea of the course is to provide students with different backgrounds a common platform to take up further topics in Mathematics, Physics and Engineering.

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

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

Dr Trefor Bazett

The 5th Dimension Has the Biggest Balls - High Dimensional Geometry and Volume Formulas

Explore why 5-dimensional spheres have maximum volume compared to other dimensions through mathematical derivations and geometric intuition.

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

Multidimensional Analysis and Geometry - Introduction to the Derivative in Higher Dimensions - Lecture 1

Explore the derivative in higher dimensions, extending single-variable concepts to multidimensional functions and introducing the derivative as a linear map for best approximation.

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

NPTEL-NOC IITM

The Derivative as a Linear Map

Explore the concept of derivative as a linear map, gaining insights into its mathematical properties and applications.

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

Career Certificate

Mathematics for Machine Learning

15098 ratings at Coursera

Build the mathematics behind machine learning: vectors and matrices in linear algebra, multivariate calculus for fitting functions to data, and PCA for compressing high-dimensional data.

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

Professor Leonard

Calculus 3 - Finding Differentials of Multivariable Functions

Derives differentials for multivariable functions and applies them to word problems.

• YouTube
• 1 hour 51 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 3 - Partial Derivatives - Derivatives of Multivariable Functions

How to find directional slopes on surfaces using partial derivatives, with implicit differentiation and higher-order partial derivatives.

• YouTube
• 2 hours 29 minutes
• Self-Paced
• Free Video

Math with Professor V

Maximum and Minimum Values of Functions of Two Variables - Section 14.7

Dive into raw, unfiltered Calculus 3 homework help covering maximum and minimum values of multivariable functions with critical points and second derivative tests.

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