Math 1560 Complex Variables and Applications
Summer Term 2012, Course Number 10742
Course Syllabus
INSTRUCTOR
TEXTBOOK
CLASS ROOM AND
TIME
READINGS
CALCULATOR POLICY
ATTENDANCE
HOMEWORK
(WRITTEN
ASSIGNMENTS)
DATES OF WRITTEN
ASSIGNMENTS AND
QUIZZES
Evgeni
Math 1560
Review Topics for the Midterm Exam
Denitions
Complex derivative
Analytic function
Complex exponential, logarithm, sine, and cosine
Harmonic function
Harmonic conjugate
Skills
Represent complex numbers in Cartesian and polar form
Find and plot nt
Homework Guidelines
Please follow the guidelines below in writing up your homework. Failure to do so may result in your
homework being returned to you ungraded, in which case a grade of zero will be recorded for that
assignment.
You may use lined or unli
Math 1560
Review Topics for the Final Exam
The nal exam is cumulative. All topics on the midterm review sheet are fair
game, in addition to those shown below.
Denitions
Power series
Radius of convergence
Uniform convergence
Isolated singularity
Removable
Math 1020
Review Topics for the Final Exam
The nal exam will be cummulative, so all topics from the midterm review sheet
are still fair game.
Denitions
Eulers -function
The functions and
Perfect number
Mersenne prime
Summatory of an arithmetic function
M
Assignment 1, part 2
Summer 2012
Math 1560
A set of four Calculus III problems:
C1. For the function f (x, y ) = ln(3x + 5y ) nd all the rst and second partial derivatives.
C2. Evaluate the line integral
2xds, where the path C consists of the arc C1 of th
Math 1560 Midterm Exam
July 12, 2010
Solutions
Instructions: Attempt all problems. No books, notes, calculators, or computers may be
used.
1. (10 points) Find all cube roots of 8i, expressing each in both polar and Cartesian form.
Solution:
8i = 8ei/2
so