the calculus

math 241 honors  -  spring 2007

welcome to calculus III plus...
the final exam is coming!
here is last year's final: mht pdf

answers to homework 12 now posted!
answers to old final exam will *not* be posted --- c’mon! you can do this!

course information:

prof: r. ghrist
office: 329 altgeld; 148 csl
phone: none! sorry!
email: ghrist@math.uiuc.edu

(do not send email to ghrist@uiuc.edu!)

lectures: 223 gregory hall
mtw 2:00-2:50pm

discussion: 223 gregory hall
thurs 2:00-2:50pm

office hours:
by appointment: email me!

exams: three!
monday february 19
wednesday march 28
tuesday may 1

final exam:
wednesday may 9 ; 1:30-4:30

no notes, book, or calculators...

lecture notes: two formats available:
     .mht requires Explorer
     .pdf requires Acrobat

topic	notes	homework
1: intro	mht pdf	hw 1: mht pdf
2: vectors in 3-d	mht pdf	answers: mht pdf
3: lines and planes in 3-d	mht pdf
4: vectors and subspaces in n-d	mht pdf	hw 2: mht pdf
5: bases and dimension	mht pdf	answers: mht pdf
6: matrices	mht pdf
7: solving equations	mht pdf	hw 3: mht pdf
8: row reduction and determinants	mht pdf	answers: mht pdf
9: linear transformations	mht pdf
10: multivariable functions	mht pdf	hw 4: mht pdf
11: derivatives	mht pdf	answers: mht pdf
12: the chain rule	mht pdf
13: gradients	mht pdf	hw 5: mht pdf
14: curves	mht pdf
15: surfaces	mht pdf
16: taylor series	mht pdf
17: computing taylor expansions	mht pdf
18: critical points	mht pdf	hw 6: mht pdf
19: quadratic forms	mht pdf
20: optimization problems	mht pdf
21: Lagrange multipliers	mht pdf	hw 7: mht pdf
22: more Lagrange multipliers	mht pdf
23: anti-differentiation	mht pdf
24: the riemann integral	mht pdf
25: the fubini theorem	mht pdf
26: setting up integrals	mht pdf	hw 8: mht pdf
27: cylindrical & spherical	mht pdf	answers: mht pdf
28: change of variables formula	mht pdf
29: change of variables formula examples	mht pdf	hw 9: mht pdf
30: motivation for vector calculus	not available!
31: k-forms on R^n	mht pdf
32: the wedge product on forms	mht pdf	hw 10: mht pdf
33: form fields	mht pdf
34: integrating 1-forms	mht pdf
35: more integrating forms	mht pdf	hw 11: mht pdf
36: examples of integrating k-forms	mht pdf	answers: mht pdf
37: flux and flux forms	mht pdf
38: density & orientation	mht pdf
39: exterior differentiation	mht pdf	hw 12: mht pdf
40: stokes' theorem	mht pdf	answers: mht pdf
41: examples of stokes' theorem	mht pdf
42: vector calculus in dimension 3 and higher	mht pdf