Office hours with Prof Ward in Olin 1281. Please stop
by often.
 Mondays 1:15  2:30pm
 Tuesdays 3  5pm
 By appointment
To contact Prof Ward: ward@math.hmc.edu, x76019, Olin 1281.
Tutor/grader Carl Yerger. Carl's office hours:
 Tuesdays 7:30  8:30pm, Mathematics Department Library.
(It's in the basement of the Olin building.) TO BE CONFIRMED.
To contact Carl: Carl_Yerger@hmc.edu, x74741, Case 207.
Homework assignments.
Our textbook is Fundamentals of Complex Analysis for Mathematics,
Science, and Engineering, 3rd edition,
E.B. Saff and A.D. Snider, Prentice Hall, 2003.
(New edition.)
Solutions to the previous homework assignments are
available online. Also, here is a link to the front page of ERes: Electronic
Reservations.
Hard copies are also on reserve in a binder at
Sprague Library; ask for the Math 136 binder.
 Homework 1
Due Fri 3 Sept, by 2:45pm, in my office (Olin
1281).
Complex arithmetic.
 Homework 2
Due Wed 8 Sept.
Powers and roots, the Riemann sphere, complex functions, limits
and continuity, analyticity.
 Homework 3
Due Wed 15 Sept.
The CauchyRiemann equations, harmonic functions, polynomials and
rational functions, exponential, trig, and hyperbolic functions.
 Homework 4
Due Wed 22 Sept.
Logarithms, 'washers, wedges, and walls', complex powers, inverse
trig and hyperbolic functions, contours.
 Homework 5
Due Wed 29 Sept.
Contour integrals, pathindependence, Cauchy's Theorem (via
Section 4.4b, not 4.4a).
 No homework due Wed 6 Oct because of midterm.
Midterm will be
handed out in class on Wed 29 Sept, and
is due in class on Monday 4
Oct.
Here is a practice test.
 Homework 6
Due Wed 13 Oct.
Cauchy's Integral Formula and its consequences: bounds on analytic
functions, harmonic functions.
 Homework 7
Due Fri 22 Oct. (Extension to Friday
because of fall break.)
Sequences and series, Taylor series.
 Homework 8
Due Wed 27 Oct.
Power series, Laurent series.
 Homework 9
Due Wed 3 Nov.
Zeroes and singularities, the point at infinity, the Residue Theorem.
 No homework due Wed 10 Nov because of midterm. Read Sections
6.2, 6.3.
Midterm will be handed out in class on Wed 3 Nov, and is due in class on Monday 8 Nov. You may use Saff and Snider
during the test, and you may also prepare one page of notes (both
sides ok) to use during the test.
If you need an extension (for instance because of the Subject
GRE), please see Prof Ward.
Here is a list of topics to study.
Here is a practice test.
 Homework 10
Due Wed 17 Nov.
Trigonometric integrals, improper integrals of certain functions.
 Homework 11
Due Wed 24 Nov by 2:45pm at my office.
Improper integrals, Jordan's Lemma, indented contours,
multiplevalued integrands.
Note: We will not have class on Wed 24 Nov,
because of the impending holiday. Happy Thanksgiving!
 Homework 12
Due Wed 1 Dec.
Conformal mapping, Moebius transformations.
 Homework 13
Due Wed 8 Dec. Last one!!
The SchwarzChristoffel Transformation,
conformal mapping applied to electrostatics, heat flow, and fluid
mechanics, the Fourier transform.
The final exam will be
handed out in class on Wed 8 Dec, and
is due in the Math Office by 5:30pm on Monday
13 Dec. (Note corrected date!)
Here is a practice test.
Grading:
 25% for Homework: weekly, due in class on Wednesdays.
(Except HW 1 due on Friday 3 September.)
 25% for first Midterm: distributed in class on
Wednesday 29 September. Twohour closedbook takehome
test. Due in class, Mon 4 Oct.
 25% for second Midterm: distributed in class on
Wednesday 3 November. Twohour closedbook takehome
test. Due in class, Mon 8 Nov.
 25% for Final: Threehour closedbook takehome test. Due
by 5:30pm on Monday 13 December.
Course Outline: MondayWednesday lectures
 Complex Numbers (1 lecture)
 Analytic Functions (2 lectures)
 Elementary Functions (2 lectures)
 Complex Integration (5 lectures)
 Taylor and Laurent Series (5 lectures)
 Residue Theory (4 lectures)
 Conformal Mapping (4 lectures)
 Integral Transforms (4 lectures)
+ 1 lecture for lag time = 28 lectures in all
Fun Links:
 For some tips from students on how to succeed at Mudd,
visit the `Wisdom from ... ' section of the Teaching and Learning
Committee's webpage.

Don Marshall's home page Click on the Software by Graduate Students
link, then on Pictures of Analytic Functions, for some great colour pictures.
The Numerical Conformal Mapping link has material we'll be studying
later in the course. Have a look at the airfoil.

Colour pictures of complex functions This page has graphs in C^2
(or R^4) of complex functions, using colour to indicate the fourth dimension.
Developed by Thomas Banchoff and Davide Cervone.
Last modified December, 2004, by Ward.
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