MT A452 Course Schedule and Homework
WEEK 1: 1/12 - 1/16
Definition and basic properties of contour integrals.WEEK 2: 1/19 - 1/23
Last day to drop without a "W": Friday, January 23rdMore computations with contour integrals, experiments with conjectural "Fundamental theorem of calculus".
Homework handout: Do problems 3a, 3d, 6, 7, 8, 12 from 4.2 and problems 1a,b,c,g,i, 2, 4, 6, and 7 from 4.3.
WEEK 3: 1/26 - 1/30
Proof that various statements are equivalent to "f has an antiderivative in a domain D" (one part of this is what we called the "fundamental theorem").Homework: Read Chapter 8 of the text. Make sure you can do the computational exercises 4, 5, and 6 (the last of these is just the "fundamental computation" from class). Then do #13.
WEEK 4: 2/2 - 2/6
Proof of Cauchy's theorem (loop integrals vanish if differentiable on and inside).Homework: p. 421, #8, 9, 12, 14.
WEEK 5: 2/9 - 2/13
WEEK 6: 2/16 - 2/20
WEEK 7: 2/23 - 2/27
Midterm practice: Ch. 8 #15(i) and (ii), #18, #24Ch. 9 #1, #3, #5, #10, #12.
