Free online courseCalculus 3

Duration of the online course: 75 hours and 24 minutes

4.8

StarStarStarStarStar

(15)

Master Calculus 3 concepts with this free online course covering vectors, multivariable functions, integrals, vector fields, and advanced techniques. Perfect for beginners.

Course Description

Calculus 3 is an extensive course with a total duration of 75 hours and 24 minutes. Renowned for its depth and clarity, the course has earned an exceptional average rating of 5 out of 5 stars, reflecting its high-quality instruction and comprehensive content.

Belonging to the category of Basic Studies, specifically under Calculus, this course delves into advanced topics fundamental to understanding multidimensional spaces and multivariable calculus. It begins by introducing vectors and their application in a 3-D coordinate system, progressing to operations with vectors such as the dot product and cross product.

Students will learn to navigate 3-D space through lectures focused on lines, planes, and surfaces, including the use of cylindrical and spherical coordinates. This foundational knowledge sets the stage for exploring vector functions, their derivatives, integrals, and various applications like arc length and velocity.

The course offers a detailed examination of multivariable functions, addressing domain, continuity, partial derivatives, and the chain rule. Students will explore advanced concepts such as directional derivatives, gradients, tangent planes, normal lines, and optimization techniques including LaGrange Multipliers.

A significant portion of the course is dedicated to multiple integrals. Students are guided through double and triple integrals, including regions defined by polar, cylindrical, and spherical coordinates. Practical applications such as finding the center of mass and volume are thoroughly covered.

Finally, the course introduces vector fields, including divergence, curl, and the computation of line integrals over both conservative and non-conservative fields. Advanced theorems like Green's Theorem, and Divergence/Stokes' Theorem are also explored, solidifying students' understanding of the complex interplay between calculus and vector analysis.

Calculus 3 stands out for its methodical approach and the depth of topics covered, making it an invaluable resource for anyone seeking to master multivariable calculus.

Conteúdo do Curso

  • Video class: Calculus 3 Lecture 11.1: An Introduction to Vectors

    2h37m

  • Video class: Calculus 3 Lecture 11.2: Vectors in 3-D Coordinate System

    1h10m

  • Video class: Calculus 3 Lecture 11.3: Using the Dot Product

    2h29m

  • Video class: Calculus 3 Lecture 11.4: The Cross Product

    2h11m

  • Video class: Calculus 3 Lecture 11.5: Lines and Planes in 3-D

    3h21m

  • Video class: Calculus 3 Lecture 11.6: Cylinders and Surfaces in 3-D

    2h32m

  • Video class: Calculus 3 Lecture 11.7: Using Cylindrical and Spherical Coordinates

    1h40m

  • Video class: Calculus 3 Lecture 12.1: An Introduction To Vector Functions

    2h04m

  • Video class: Calculus 3 Lecture 12.2: Derivatives and Integrals of Vector Functions

    2h42m

  • Video class: Calculus 3 Lecture 12.3: Arc Length/Parameterization, TNB (Frenet-Serret) Intro

    2h12m

  • Video class: Calculus 3 Lecture 12.3/12.5: TNB (Frenet-Serret) Frames, Curvature, Torsion, Encapsulation

    2h37m

  • Video class: Calculus 3 Lecture 12.4: Velocity and Acceleration of Vector Functions

    1h02m

  • Video class: Calculus 3 Lecture 13.1: Intro to Multivariable Functions (Domain, Sketching, Level Curves)

    1h49m

  • Video class: Calculus 3 Lecture 13.2: Limits and Continuity of Multivariable Functions (with Squeeze Th.)

    2h14m

  • Video class: Calculus 3 Lecture 13.3: Partial Derivatives (Derivatives of Multivariable Functions)

    2h28m

  • Video class: Calculus 3 Lecture 13.4: Finding Differentials of Multivariable Functions

    1h51m

  • Video class: Calculus 3 Lecture 13.5: The Chain Rule for Multivariable Functions

    2h11m

  • Video class: Calculus 3 Lecture 13.6: Finding Directional Derivatives and Gradients

    2h37m

  • Video class: Calculus 3 Lecture 13.7: Finding Tangent Planes and Normal Lines to Surfaces

    1h41m

  • Video class: Calculus 3 Lecture 13.8: Finding Extrema of Functions of 2 Variables (Max and Min)

    3h38m

This free course includes:

75 hours and 24 minutes of online video course

Exercises to train your knowledge

Certificate of course completion

100% free, from content to certificate

QR Code - Baixar Cursa - Cursos Online

This online course can only be accessed through the Cursa App. Download it using the QR code or the links below:

This online course can only be accessed through the Cursa app. Install it using the links below:

  • Study for free!

    Here you never pay! Not even for the certificate, because everything in the app is 100% free!

  • Improve your resume!

    There are more than 4,000 free courses for you to study anything that interests you!

  • Free Digital Certificate!

    Complete the course and issue your internationally recognized Digital Certificate free of charge.

More free courses at Calculus

Download the App now to have access to + 3300 free courses, exercises, certificates and lots of content without paying anything!

  • 100% free online courses from start to finish

    Thousands of online video courses, audio or text courses.

  • More than 48 thousand free exercises

    To test your knowledge during online courses

  • Valid free Digital Certificate with QR Code

    Generated directly from your cell phone's photo gallery and sent to your email

Cursa app on the ebook screen, the video course screen and the course exercises screen, plus the course completion certificate

+ 6.5 million
students

Free and Valid
Certificate with QR Code

48 thousand free
exercises

4.8/5 rating in
app stores

Free courses in
video, audio and text