Week

Topics covered

Chapter

1

Triple Integrals in Cylindrical and Spherical Coordinates

Thomas Calc.11th Ed.

15.6

2

Substitutions in Multiple Integrals

15.7

3

Line Integrals, Vector Fields, Work, Flow, Circulation, Flux

16.1-16.2

4

Path Independence, Potential Functions and Conservative Fields, Green’s Theorem

16.3-16.4

5

Surface Area and Surface Integrals, Parametrized Surfaces,

16.5-16.6

6

Stoke’s Theorem, Divergence Theorem

16.7-16.8

7

Systems of Linear Equations, Matrices

El. Lin. Alg

1

8

Determinants

2

9

Vectors in 2-space and 3-space

3

10

Real Vector Spaces, Subspaces, Linear Independence

5.1 – 5.3

11

Basis and Dimension, Row Space, Rank and Nullity

5.4 – 5.6

12

Inner Product Spaces, Gram-Schmidt Process, Orthogonal Matrices

6

13

Eigenvalues and Eigenvectors

7.1

14

Diagonalization

7.2-7.3