Math 1290
Topics for Midterm Exam
Representation of complex numbers in Cartesian and polar form.
Basic arithmetic of complex numbers, and geometric interpretation.
nth roots of complex numbers.
Identify gures of the form |T z| = r, Re(T z) = a, or Im(
Math 1290 Tutorial 3
Darien DeWolf
January 15, 2014
Darien DeWolf
Math 1290 Tutorial 3
January 15, 2014
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Announcements
Homework: All solutions must contain a sketch of the given area.
This will also be worth points on Test 1.
Oce Hours:
On test week
Math 1290 Tutorial 2
Darien DeWolf
January 10, 2014
Darien DeWolf
Math 1290 Tutorial 2
January 10, 2014
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Announcements
Homework: All solutions must contain a sketch of the given area.
This will also be worth points on Test 1.
Oce Hours: Please ll ou
Math 1290 Midterm Exam Solutions
July 16, 2012
Instructions: Attempt all ten problems. Books, notes, and calculators may not be used. Each problem is
worth ten points.
1. (a) Express the complex number 8i in polar form.
Solution:
8i = 8ei 2
(b) Find all c
Math 1290 Tutorial 4
Darien DeWolf
January 17, 2014
Darien DeWolf
Math 1290 Tutorial 4
January 17, 2014
1 / 12
Announcements
Homework: All solutions must contain a sketch of the given area.
This will also be worth points on Test 1.
Oce Hours:
On test week
Math 1290 Tutorial 7
Darien DeWolf
January 29, 2014
Darien DeWolf
Math 1290 Tutorial 7
January 29, 2014
1 / 15
Section 7.1, Question 11
Darien DeWolf
Math 1290 Tutorial 7
January 29, 2014
2 / 15
Section 7.1, Question 11: Solution
Let u = x 2 and let dv =
Math 1290
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Exercises on Straightedge and Compass Constructions
For each item below, perform the indicated straightedge and compass construction, and describe in words
what youre doing and why it works. If you get stuck, try to nd the construction in