Problem Set 8 Math 486-W10 Yvonne Lai
Relevant concepts:
Injective Functions
Inverse Functions
This problem set is due on Friday, April 2, at 4:30pm at Professor Lais ofce (1856 EH). You are responsible
for writing up all problems on this problem set.
1
Problem Set 6 Math 486-W10 Yvonne Lai
Relevant concepts:
Polar representations of complex numbers
DeMoivres Theorem
Multiplying complex numbers
Special angles: http:/en.wikibooks.org/wiki/Trigonometry/Trigonometric_Unit_Circle_and_
Graph_Reference
If you
Problem Set 11 Math 486-W10 Yvonne Lai
If you are not a presenter, you do not have to hand this problem set in. (If you are a presenter, you only
have to turn in your assigned problems and the associated discussion questions.) This problem set reviews
mat
Problem Set 9 Math 486-W10 Yvonne Lai
Relevant concepts:
natural logarithm ln
fundamental theorem of calculus
inverse functions
injectivity
e
You are responsible for all the problems listed here. Problem Set 9 is due Friday April 9, 2010, at Professor
Lai
Problem Set 7 Math 486-W10 Yvonne Lai
Relevant concepts:
Arithmetic of parametric equations
If you dont have a calculator that plots parametric equations in polar coordinates, try http:
/fooplot.com. Notes on using this site are attached to the end of th
Problem Set 2 Math 486-W10 Yvonne Lai
Relevant concepts.
Periodicity of decimal expansions for rational numbers (handout on cTools)
Long division algorithm (Usiskin, p. 205)
Division Algorithm Theorem (Usiskin, p. 206)
Geometric Sequences and Series (http
Problem Set 3 - 4 Math 486-W10 Yvonne Lai
Relevant concepts:
Polynomial division and polynomial roots
Rational Root Theorem
Relationship between roots and coefcients
Synthetic division
Complex numbers
Denition of complex number
Complex number arithme
Problem Set 1 Math 486-W10 Yvonne Lai
Relevant concepts:
real numbers (Section 2.1.1)
denition of a eld (http:/en.wikipedia.org/wiki/Field_(mathematics)
unique prime factorization
1. [] Please ll in the Student Data Form: http:/instruct.math.lsa.umich.
Problem Set 5 Math 486-W10 Yvonne Lai
Relevant concepts:
Polar representations of complex numbers
Angles and magnitudes of complex numbers
Special angles: http:/en.wikibooks.org/wiki/Trigonometry/Trigonometric_Unit_Circle_and_
Graph_Reference
If you ar