**Noon section (X1):** Room 148 Henry, MWF 12:00-12:50

**3pm section (G1):** Room 143 Altgeld, MWF 3:00-3:50

**Lecturer:** Jiří Lebl

Web: http://www.math.uiuc.edu/~jlebl/

Office: 105 Altgeld

E-mail:
jle...@math.uiuc.edu

Phone: 3-3143

Office hours: MW 4:00 - 4:50 pm and by appointment

Hat: Barmah Squashy (no I'm not australian)

**Midterm 1: ** September 26, in class. Counts for 20% of your grade.

**Midterm 2: ** October 31, in class. Counts for 20% of your grade.

**Midterm 3: ** November 28, in class. Counts for 20% of your grade.

**Final Exam: ** Cumulative. Counts for 30% of your grade.

Noon section: 7:00-10:00 PM, Monday, December 10.

3pm section: 7:00-10:00 PM, Wednesday, December 12.

**Homework:** Assigned weekly, spot checked.
Count for 10% of grade.
Check end of this page for details.

**Test Policies:** No books, notes, calculators or computers allowed.
Makeup midterms will be given only if you have a legitimate reason
(family emergency, illness, etc...) and some
written supporting evidence.

** Text: ** Wilfred Kaplan, * Advanced Calculus *, 5^{th}
edition, Chapters 2, 3, 4 and 5.

**Syllabus:** Introduction to vector calculus and functions of several
variables. Topics include: partial and directional derivatives, Jacobians,
implicit function theorem, change of variables in multiple integrals, maxima
and minima, line and surface integrals, theorems of Gauss, Green, and Stokes.

**Homework 1:** (Due Fri. Aug. 31)

p82: 2) 6)

p89: 1) 4)abc 6)

p95: 1)abcd 2)a

p100: 2) 5) 9)
*On number 5, change "t=3" to "t=5"!*

**Homework 2:** (Due Fri. Sep. 7)

p104: 1) 2)

p116: 2) 6) 8)

**Homework 3:** (Due Fri. Sep. 14)

p121: 2) 3)

p127: 1) 11) 14)

p134: 1) 2) 4)

**Homework 4:** (Due Fri. Sep. 21)

p142: 1) 3) 11)

p158: 2) 4)

**Homework 5:** (Not due)

p159: 6) 7)

p180: 1) 3)

p185: 4) 5)

**Homework 6:** (Due Fri. Oct. 5)

p185: 6) 7)a

p234: 1)abc 3) 6)

**Homework 7:** (Due Fri. Oct. 12)

p241: 4)cde 11) 12)

p248: 1) 3)

p256: 1) 2)

**Homework 8:** (Due Fri. Oct. 19)

p278: 1) 2) 4)

p286: 1) (*leave 5)c) for the next homework.*)

**Homework 9:** (Due Fri. Oct. 26)

p286: 5)abcd

p300: 1) 2)abc 3)abc

**Homework 10:** (Not due)

p301: 4) 5)

p312: 1) 2)

**Homework 11:** (Due Fri. Nov 9)

p312: 5)bcd 6)bcd 7)a

p319: 1)bcd 2)ac

**Homework 12:** (Due Fri. Nov 16)

p312: 7)bc

p319: 4)abi

p330: 1) 2) 6)

**Homework 13:** (Not due)

p330: 6) 10)

p336: 1)

p347: 1) 2)

**Homework 14:** (Not due)

p363: 2) 3) 7)