MATH 350, Review for the Final Exam
Date and time: Wednesday May 18, 2011, 5:30-7:30pm in CR 5117.
Course topics
0. Introduction
1.
2.
3.
4.
Sets and operations on them (Kirkwood 1-1; lecture notes)
Relations, functions, direct and inverse images (Kirkwoo
February 12, 2011
MATH 350
Prof. V. Panferov
Practice Problems for Homework 3
1. Prove by induction that if m, n N then mn N.
2. Give a proof of the Modied Induction Principle: If S is a subset of N that has a
smallest number s and such that x + 1 S whene
January 26, 2011
MATH 350
Prof. V. Panferov
Homework Assignment 1
Quiz on Wed. Feb 2, 2011, in class.
1. Let A = cfw_x N : 2 < x 6, B = cfw_x N : 1 < x < 4, C = cfw_x N : x2 4 = 0.
Find all elements of the following sets:
(a) B C , (b) A B C , (c) A B C ,
May 11, 2011
MATH 350
Prof. V. Panferov
Homework 12, Problems 1-6
1. Use Taylors theorem to prove the binomial theorem: for n N:
(a + x)n = an + nan1 x +
n(n 1) n2 2
a x + + xn .
2
2. Find a Taylor polynomial for the function ex about x = 0 which approxim
MATH 350, Review for Midterm Test 2
Test topics
II. Continuity and limits
1. Limits of Sequences (2.5)
2. The Completeness Axiom and the Archimedian Principle (2.5 and the lecture notes)
III. Properties of Continuous Functions
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2.
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6.
The Interm