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This is a variation on 18.02 Multivariable Calculus. It covers the same topics as in 18.02, but with more focus on mathematical concepts. If you are interested to learn something about Calculus of Several Variables then you are in the right place. Topic will include such as Vectors in R2 and R3, Dot product, Cross product, Planes and distances and Cylindrical and spherical coordinates.

Assessment

This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.

Certification

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Course Credit: MIT

Course Curriculum

Module 01
L 1 Vectors in R2 and R3 00:25:00
L 2 Dot product 00:20:00
L 3 Cross product 00:25:00
L 4 Planes and distances 00:20:00
L 5 n-dimensional space 00:25:00
L 6 Cylindrical and spherical coordinates 00:15:00
L 7 Functions 00:15:00
L 8 Limits 00:20:00
L 9 The Derivative 00:20:00
L 10 More about derivatives 00:14:00
L 11 Higher derivatives 00:25:00
L 12 Chain rule 00:30:00
Module 02
L 13 Implicit functions 00:20:00
L 14 Parametrised curves 00:20:00
L 15 Arclength 00:25:00
L 16 Moving frames 00:20:00
L 17 Vector fields 00:20:00
L 18 Div grad curl and all that 00:15:00
L 19 Taylor polynomials 00:20:00
L 20 Maxima and minima I 00:15:00
L 21 Maxima and minima II 00:20:00
L 22 Double integrals 00:20:00
L 23 Inclusion-exclusion 00:20:00
L 24 Triple integrals 00:20:00
Module 03
L 25 Change of coordinates I 00:15:00
L 26 Change of coordinates II 00:20:00
L 27 Line integrals 00:20:00
L 28 Manifolds with boundary 00:30:00
L 29 Conservative vector fields revisited 00:10:00
L 30 Surface integrals 00:20:00
L 31 Flux 00:15:00
L 32 Stokes theorem 00:15:00
L 33 Gauss theorem 00:20:00
L 34 Forms on Rn 00:15:00
Assessment
Submit Your Assignment 00:00:00
Certification 00:00:00

Course Reviews

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