Math 380 Fall 2007 (Advanced Calculus)

https://faculty.math.illinois.edu/~jlebl/math380-f07.html

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: https://faculty.math.illinois.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 , 5th 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)

Practice exam 1

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

Practice exam 2

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

Some problems with solutions

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)

Practice exam 3

Homework 14: (Not due)
p363: 2) 3) 7)

Practice final extra problems