Text
Zill and Cullen, Advanced Engineering Mathematics. Jones and
Bartlett, second edition,
2000
The course covers Chapters 12-15 (Partial Differential Equations /
Boundary Value Problems), and Chapters 17-19 (Complex Analysis).
Time and place
Lectures: MWF 11-12noon, DRLB A7
Office hours Erik van Erp: Monday 2-3, Wednesday 11-12noon, or by
appointment.
Office hours David Fithian: Tuesday 11-12, Thursday 1-2.
Exams
Mid-term I: Monday, February 13 (Chapters 12, and 13.1-13.4)
Mid-term II: Friday, March 17 (Chapters 13.5, 6, 7 / 14.1, 2, 3 / 15.3,
4)
Final exam: Thursday, April 27, 12noon-2pm, Leidy Lab, room 10.
Since mid-term exams will be given in class, there will be no
make-up exams!
On all exams, students can use an 8 by 11 inch "cheat sheet"
(two-sided).
No calculators.
Final
exam topics
The emphasis in the final exam is on complex analysis, Chapters 17-19.
This accounts for 80% of the exam. The final exam will also include
some questions on the following topics: Fourier Series (sections 12.2,
12.3), separation of variables (13.1), and the classical PDEs (13.3,
13.4, 13.5).
Grade
The final grade for the course will be a composite of homework and exam
scores.
No quizzes.
The formula used to determine the final grade is as follows:
Final numerical score = 20% Homework + 20% for each Mid-Term Exam + 40%
Final Exam.
Homework Assignments
Recommended for practice, but not graded:
Section 19.4: problems 1, 7, 13, 15, 19
Section 19.5: problems 7, 12, 13, 15, 17, 19, 27
Section 19.6: problems 1, 11, 13, 21 (also,
try 14 again, this time using formula (4) from 19.5)
Due Fri, Apr 21:
Section 19.1: problems 2, 8, 20, 22
Section 19.2: problems 4, 6, 15, 30
Section 19.3: problems 2, 4, 6
Section 19.6: problems 12, 14 (use
Cauchy's Integral Formula)
Due Fri, Apr 14:
Section 18.3: problems 2, 6, 18
Section 18.4: problems 2, 4, 6, 8, 10, 12, 18, 22, 24
Due Fri, Apr 7:
Section 17.7: problems 2, 10, 14, 16, 28 (here I want a calculation)
Section 17.8: problems 2, 10
Section 18.1: problems 2, 4, 7, 18, 20, 22, 24 (you can not yet
use Cauchy's Theorem)
Section 18.2: problems 2, 4, 10, 12, 18 (here you should use Cauchy's
Theorem)
Due Mon, Apr 3:
Section 17.4: problems 10, 12, 18, 26
Section 17.5: problems 2, 6, 12, 16, 24, 28
Section 17.6: problems 2, 4, 12, 16, 24, 26, 30, 34, 38, 44, 48
Due Fri, Mar 24:
Section 17.1: problems 2, 8, 14, 22, 30, 38, 39
Section 17.2: problems 2, 4, 8, 16, 18, 22, 30, 32, 34, 38
Due Mon, Mar13:
Section 14.2: problems 2, 5
Section 15.3: problems 2, 4, 16, 18
Section 15.4: problems 2, 8, 16
Due Fri, Feb 24:
Section 13.6: problems 2, 6, 10, 12
Section 14.1: problems 2, 6, 12, 14
Section 14.3: problems 4, 10
Due Fri, Feb 17:
Section 13.5: problems 2, 6, 12, 16
Section 13.7: problems 2, 6, 8
Due Fri, Feb 10:
Section 13.2: problems 2, 4, 6, 10
Section 13.3: problems 2, 4, 6
Section 13.4: problems 2, 4, 6, 11
Due Fri, Feb 3:
Section 12.6: problems 10, 16, 19, 20, 22
Section 13.1: problems 2, 6, 10, 14, 18, 20, 22, 24, 26
Due Fri, Jan 27:
Section 12.3: problems 6, 8, 10, 12, 14, 20
Section 12.5: problems 2, 4, 8, 12
Due Fri, Jan 20:
Section 12.1: problems 2, 6, 8, 10, 12
Section 12.2: problems 2, 4, 14, 16; 5, 17, 18