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Understanding Multivariable Calculus: Problems, Solutions, and Tips

Understanding Multivariable Calculus: Problems, Solutions, and Tips is a multivariable calculus training course published by Thegreatcourses online academy. Multivariable calculus extends the concepts of calculus from functions of one variable to functions of several variables. In traditional calculus, you deal with functions that have one input and one output (one-variable calculus). In multivariable calculus, you work with functions that have multiple inputs and outputs. In this training course, you will get to know the basic concepts and principles of multi-variable calculus, and with the attractive graphics and videos in this training course, it will be very easy to understand these concepts.In each part of this training course, you will get acquainted with powerful tools to solve old problems in several steps and will provide you with correct and accurate answers. With this new tool, you are able to integrate volumes and surface areas directly with double and triple integrals, define easily separable parametric equations for a function using vectors, and use polar, cylindrical, and spherical coordinates to evaluate Use double and triple integrals that are difficult to solve in standard Cartesian coordinates. By the end of this training course, you will have high knowledge and skill in multivariable differential and integral calculus and you will be able to solve difficult problems easily in a short time.

5.0
(2 reviews)
54.2 Hours On-Demand
Created by Senior Industry Specialist
Uploaded Sep 2026
English
Understanding Multivariable Calculus: Problems, Solutions, and Tips
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Free$129.99100% Free

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Course Features:
54.2 hours on-demand video
37 complete lectures
1 downloadable project zip file(s)
Streamable on mobile, tablet & desktop
Self-paced curriculum with progress tracking
Direct MP4 downloads & offline video access
Verified course archives hosted on cloud infrastructure.

What You'll Master in this Course

Basic concepts and principles of multivariable calculus
Integrating volumes and surface areas directly with double and triple integrals
Define easily separable parametric equations for a function using vectors
Using polar, cylindrical and spherical coordinates to evaluate double and triple integrals
And …

Course Curriculum37 Lectures

1 sections • 54.2 hours total length

Prefer offline learning? Download all 37 video lectures and project files for free.
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Functions of Several Variables
Preview
1h 30m
Limits, Continuity, and Partial Derivatives
Preview
1h 30m
A Visual Introduction to 3-D Calculus
1h 30m
Partial Derivatives-One Variable at a Time
1h 30m
Total Differentials and Chain Rules
1h 30m
Extrema of Functions of Two Variables
1h 30m
Applications to Optimization Problems
1h 30m
Linear Models and Least Squares Regression
1h 30m
Vectors and the Dot Product in Space
1h 30m
The Cross Product of Two Vectors in Space
1h 30m
Lines and Planes in Space
1h 30m
Curved Surfaces in Space
1h 30m
Vector-Valued Functions in Space
1h 30m
Kepler's Laws-The Calculus of Orbits
1h 30m
Directional Derivatives and Gradients
1h 30m
Tangent Planes and Normal Vectors to a Surface
1h 30m
Lagrange Multipliers-Constrained Optimization
1h 30m
Applications of Lagrange Multipliers
1h 30m
Iterated integrals and Area in the Plane
1h 30m
Double Integrals and Volume
1h 30m
Double Integrals in Polar Coordinates
1h 30m
Centers of Mass for Variable Density
1h 30m
Surface Area of a Solid
1h 30m
Triple Integrals and Applications
1h 30m
Triple Integrals in Cylindrical Coordinates
1h 30m
Triple Integrals in Spherical Coordinates
1h 30m
Vector Fields-Velocity, Gravity, Electricity
1h 30m
Curl, Divergence, Line Integrals
1h 30m
More Line Integrals and Work by a Force Field
1h 30m
Fundamental Theorem of Line Integrals
1h 30m
Green's Theorem-Boundaries and Regions
1h 30m
Applications of Green's Theorem
1h 30m
Surface Integrals and Flux Integrals
1h 30m
Parametric Surfaces in Space
1h 30m
Divergence Theorem-Boundaries and Solids
1h 30m
NA NA
9m
Stokes's Theorem and Maxwell's Equations
1h 30m

Requirements

  • Basic enthusiasm to learn and follow along with lessons
  • A computer or mobile device with a modern internet connection

Description

Understanding Multivariable Calculus: Problems, Solutions, and Tips is a multivariable calculus training course published by Thegreatcourses online academy. Multivariable calculus extends the concepts of calculus from functions of one variable to functions of several variables. In traditional calculus, you deal with functions that have one input and one output (one-variable calculus). In multivariable calculus, you work with functions that have multiple inputs and outputs. In this training course, you will get to know the basic concepts and principles of multi-variable calculus, and with the attractive graphics and videos in this training course, it will be very easy to understand these concepts.In each part of this training course, you will get acquainted with powerful tools to solve old problems in several steps and will provide you with correct and accurate answers. With this new tool, you are able to integrate volumes and surface areas directly with double and triple integrals, define easily separable parametric equations for a function using vectors, and use polar, cylindrical, and spherical coordinates to evaluate Use double and triple integrals that are difficult to solve in standard Cartesian coordinates. By the end of this training course, you will have high knowledge and skill in multivariable differential and integral calculus and you will be able to solve difficult problems easily in a short time.

Instructor

S

Senior Industry Specialist

Specialist in Other Professional Courses

Passionate educator focused on real-world practical skills, modern frameworks, and production-ready engineering practices. Delivering step-by-step masterclasses accessible to learners globally on MJ Accedemy.

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