husayn gokal
Sharjah

MITMathematics18.02

Multivariable Calculus

planned·~168 hours total

Professor

  • Denis Auroux

Textbook

  • Calculus: Multivariable

    James Stewart · 8th · ISBN 9781305266643

Prerequisites

Materials

Vectors, partial derivatives, double and triple integrals, vector calculus (line integrals, surface integrals, Stokes, divergence theorem).

Syllabus

  1. Week 1

    Vectors; lines and planes in 3D

  2. Week 2

    Matrices, determinants

  3. Week 3

    Partial derivatives; gradient

  4. Week 4

    Optimisation; Lagrange multipliers

  5. Week 5

    Double integrals in Cartesian and polar

  6. Week 6

    Triple integrals; cylindrical and spherical

  7. Week 7

    Vector fields; line integrals

  8. Week 8

    Conservative fields; potential functions

  9. Week 9

    Green's theorem in the plane

  10. Week 10

    Surface integrals; flux

  11. Week 11

    Divergence theorem

  12. Week 12

    Stokes' theorem; applications