Weekly plan for Math 311

PART I.

1. MATRICES AND SYSTEMS OF EQUATIONS (Material will be covered in 3 lectures)

    * Section 1.1
    * Section 1.2
    * Section 1.3
    * Section 1.4

2. DETERMINANTS (Material will be covered in 1 lecture)
    
    * Section 2.1
    * Section 2.2

3. VECTOR SPACES AND LINEAR TRANSFORMATIONS (Material will be covered in 3.5 weeks)

    * Section 3.1
    * Section 3.2
    * Section 3.3
    * Section 3.4
    * Section 3.5
    * Section 3.6
    * Section 4.1
    * Section 4.2
    * Section 4.3




5. EIGENVALUES (Material will be covered in 1.5 weeks)

    * Section 6.1
    * Section 6.2
    * Section 6.3

6. ORTHOGONALITY (Material will be covered in 2.5 weeks)

    * Section 5.1
    * Section 5.2
    * Section 5.3
    * Section 5.4
    * Section 5.5
    * Section 5.6

PART II.

7. VECTOR ANALYSIS, GRAD, DIV AND CURL.
   Section 3.3/3.4.  (1 day)

8. MULTI-DIMENSIONAL INTEGRATION AND CHANGE OF VARIABLES (1 week)
     Multi-dimensional integration over "rectangular" and
          non-rectangular domains. Sections 5.1-5.4.
     Differentiable transformations and change of integration
          variables.  Sections 1.7 and 5.5.

9. INTEGRATION OVER LINES AND SURFACES (1 week)
     Scalar and vector line integrals. (Section 6.1).
     Scalar and vector surface integrals. Sections 7.1 and 7.2.

10. THE DIVERGENCE THEOREM AND INTEGRATION BY PARTS (1 week)
     The outward normal and the divergence theorem.
     Integration by parts.

11. VECTOR INTEGRALS (1 week)
     Green's Theorem.  Section 6.1. 
     Stoke's Theorem.  Section 6.1.