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 |
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