Multivariable Calculus

Multivariable Calculus, available at $69.99, has an average rating of 4.44, with 32 lectures, based on 9 reviews, and has 99 subscribers.

You will learn about Calculus in 3-space Partial Differentiation Multiple Integration Vector Calculus This course is ideal for individuals who are Students that want to learn Multivariable Calculus and Vector Analysis It is particularly useful for Students that want to learn Multivariable Calculus and Vector Analysis.

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Summary

Title: Multivariable Calculus

Price: $69.99

Average Rating: 4.44

Number of Lectures: 32

Number of Published Lectures: 32

Number of Curriculum Items: 32

Number of Published Curriculum Objects: 32

Original Price: $39.99

Quality Status: approved

Status: Live

What You Will Learn

Calculus in 3-space
Partial Differentiation
Multiple Integration
Vector Calculus

Who Should Attend

Students that want to learn Multivariable Calculus and Vector Analysis

Target Audiences

Students that want to learn Multivariable Calculus and Vector Analysis

This is a complete course in Multivariable calculus. Multivariable calculus is an extension of single variable calculus to calculus with functions of two or more variables. It is expected that anyone taking this course has already knows the basics from single variable calculus: limits and continuity, differentiation and integration.

In this course you will learn how to perform calculus on functions of two or more variables, as well as vector-valued functions. In particular, the topics covered include the basics of three dimensional space and vectors, vector-valued functions including the calculus of vector-valued functions (limits, differentiation, and integration), differentiation of functions of two or more variables, integration of functions of two or more variables, and vector calculus.

Single variable Calculus is a prerequisite for this course.

Here is a complete list of the topics that will be covered:

Three-dimensional Space and Vectors

Rectangular Coordinates in 3-space
Vectors
Dot Product
Cross Product
Equations of Lines
Equations of Planes
Quadric Surfaces
Vector-valued Functions
Arc Length and the TNB-Frame
Curvature

Functions of Multiple Variables and Partial Differentiation
Functions of Two or More Variables
Limits and Continuity
Partial Derivatives
Differentiability
Chain Rule
Directional Derivatives
Maxima and Minima of Functions of Two Variables

Multiple Integrals
Double Integrals
Double Integrals over Nonrectangular Regions
Double Integrals over Polar Regions
Triple Integrals
Cylindrical and Spherical Coordinates
Triple Integrals in Cylindrical and Spherical Coordinates

Vector Calculus
Vector Fields
Line Integrals
Independence of Path
Green’s Theorem
Parametric Surfaces
Surface Integrals
Orientable Surfaces and Flux
Stoke’s Theorem
Divergence Theorem

Course Curriculum

Chapter 1: Three-dimensional Space and Vectors

Lecture 1: Rectangular Coordinates in 3-space

Lecture 2: Vectors

Lecture 3: Dot Product

Lecture 4: Cross Product

Lecture 5: Equations of Lines

Lecture 6: Equations of Planes

Lecture 7: Quadric Surfaces

Lecture 8: Vector-valued Functions

Lecture 9: Arc Length and the TNB-Frame

Lecture 10: Curvature

Chapter 2: Functions of Multiple Variables and Partial Differentiation

Lecture 1: Functions of Two or More Variables

Lecture 2: Limits and Continuity

Lecture 3: Partial Derivatives

Lecture 4: Differentiability

Lecture 5: Chain Rule

Lecture 6: Directional Derivatives

Lecture 7: Maxima and Minima of Functions of Two Variables

Chapter 3: Multiple Integration

Lecture 1: Double Integrals

Lecture 2: Double Integrals over Nonrectangular Regions

Lecture 3: Double Integrals over Polar Regions

Lecture 4: Triple Integrals

Lecture 5: Cylindrical and Spherical Coordinates

Lecture 6: Triple Integrals in Cylindrical and Spherical Coordinates

Chapter 4: Vector Calculus

Lecture 1: Vector Fields

Lecture 2: Line Integrals

Lecture 3: Independence of Path

Lecture 4: Green's Theorem

Lecture 5: Parametric Surfaces

Lecture 6: Surface Integrals

Lecture 7: Orientable Surfaces and Flux

Lecture 8: Stoke's Theorem

Lecture 9: Divergence Theorem

Instructors

Steve Warner
Mathematician and Musician

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Frequently Asked Questions

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