Math 410 - Advanced
Calculus
We meet at 1:00pm - 1:50pm, MWF, Adams Hall 310
Contact info:
Office: SEO 1221
phone: (312) 413 2967
e-mail: shvydkoy@math.uic.edu
Office hours: 2-3pm MWF
We will be using the book by J. Marsden and A. Tromba "Vector Calculus"
5th edition.
Testing system:
Homework assignment is given every
week and is due Wednesday the following week.
Midterm I,II- 100pts each. Final -
140pts.
Homework - 60pts. Total - 400pts.
Tentative schedule (dates may change, follow class announcements):
- Jan 17: 2.1 -- 1c, 2a, 12, 23, 25
- Jan 19: 2.2 -- 3, 5ac, 6, 11b, 12c
- Jan 22: 2.3 -- 1c, 2b, 5, 13c
- Jan 24: 2.4 -- 2, 7, 13, 17; diagnostic
mini-test on Chapter 1 for 30 minutes
- Jan 26: 2.5 -- 3, 4, 5c
- Jan 29: 2.6 -- 2a, 3b, 4b, 5c, 9, 22
- Feb 2: 3.1 -- 2, 6, 12, 19, 23; 3.2 -- 2,
5
- Feb 5: 3.3 -- 1,4, 5, 11, 22, 24
- Feb 7: 3.4 -- 2,5 ,7, 8, 10, 12
- Feb 9: 3.5 -- 3, 5, 8, 10cd
- Feb12: 4.1 -- 3, 7, 15 ; 4.2 -- 2,11
- Feb14: 4.3 -- 2,3,11,16
- Feb16: 4.4 --
- Feb19: Review. The following list of theorems and
formulas is allowed to put on your formula sheet: Definition on
p.167
-
(and its two dimensional analogue), Theorem 3 on p. 196, Theorem 6 on
p. 216, Theorem 110 on p. 239.
-
I recommend to practice the following exercises -- Ch 2 review section
: 7b, 8d, 11b, 12a, 22; Ch 3 review section : 11, 14,
17, 15, 21, 25.
- Feb21: Exam I. The exam will cover Chapters 2,3.
- Feb23: Homework 5 is due. 5.1 -- 1ad, 6ab, 7
- Feb26: 5.2 --1c, 3, 5
- Feb28: 5.3 --1c, 2cd, 7
- Mar2: 5.4 --1bc, 2b, 4
- Mar5: 5.5 -- 1,6,10,16
- Mar7: 6.1 -- 1,2,3,7
- Mar9: 6.2 --
- Mar12: 6.3 --
- Mar14: 7.1 -- 2a, 3a, 4a, 9 ; 7.2 -- 1ac, 2ad, 3, 15
- Mar16: 7.3 -- 1, 2, 5, 11, 12
(substituted by prof. Jan Verschelde SEO 1210)
- Mar19: Review. The exam will cover Chapters
4,5,6. The exam will have about 5-6 problem with the level of the
difficulty similar to your regular homework. Please come 10 minutes
-
prior to the beginning of the session to ensure timely distribution of
the test materials.
-
The following list of theorems and formulas are allowed during the
exam: definition of curl on p. 299,
-
Vector idenitities on page 306, integral over elementary regions
on page 359, Change of variables formula on pages 382, 387,
389, formulas from section 6.3.
-
I also recommend practiving the following exercises from the review
section: page 313-on 3, 7, 10, 19, 31,
page 365-on 3, 7, 17, 23, 27, 29, 30, 35, 36, also
look through
-
your homework exercises especiall on triple integrals (various types of
domains, practice setting up limits of integration), page
417-on 1, 2, 3, 4 (do not evaluate in this exercise),
-
5, 13, 20, (also see exercises for section 6.3).
- Mar21: Exam II (to be proctored by Kathy Piret
1211 SEO)
- Mar23: 7.4 --1,4,10,11
- Mar26 - 30: spring break
- Apr2: 7.5 -- 1,6,10
- Apr4: 7.6 -- 2,3,5,10,15
- Apr6: 7.6 --
- Apr9: 7.7 -- 1,3,4
- Apr11: 8.1 --
- Apr13: 8.2 -- 1,4,5
- Apr16: 8.3 --2,3,7,10,13c,17
- Apr18: 8.3 --
- Apr20: 8.3 --
- Apr23: 8.4 --
- Apr25: 8.4 --
- Apr27: 8.5 --
- Apr30: 8.6 --
- May2: 8.6 --
- May4: Review for the final
- May 7, Monday, 1:00-3:00 -- FINAL EXAM in the same room
where class is. The test will consist of 10-12 problems, half of
which wil be on
- Ch2-6, half on Ch7-8. Review problems: p.
514-516 : 2,3,8,10,12,16,17,18,21,23,28; p.
605: 1,3,5,6,7,14,15,17,21. You can put the following
formulas on your formula
- sheet in addition to those I allowed
previously: formulas from Section 7.4, pp.
474,478,484,495-497,501,522,524,527,538,564.