Math 201,
Fall 2009, Sections A and C
Introduction to Proofs
|
Instructor: |
Eric Weber |
Email: |
|
|
Office: |
Carver Hall 454 |
Phone: |
294-8151 |
|
Office Hours: |
T 11-12; W 3-4; R 1-2 |
|
|
Course
Homepage: This page is the syllabus
for the course, and will include postings for course information, such as
assignments.
Course
Description: Math 201. Introduction to Proofs. (3-0) Cr. 3. F.S.Prereq: 166 or 166H. Reading
and writing simple proofs, using logical reasoning, including quantifiers and
truth tables. Proof Techniques. Mathematical induction. Proofs in set theory,
number theory, and calculus.
Textbook:
Mathematical Proofs, 2nd Edition, G. Chartrand, A. Polimeni,
and P. Zhang.
Grading: Grade
percentages breaks down as follows:
|
Assignment: |
Percentage: |
Date: |
|
Midterm Exam 1 |
20% |
Sept. 25 |
|
Midterm Exam 2 |
20% |
Oct. 30 |
|
Final Exam |
30% |
Dec. 14-18 |
|
Exercises/Class Participation |
30% |
Daily |
The
following overall percentages will assure you of the associated letter grade:
90%: A; 80%: B; 70%: C; 60%: D. There may be a curve at the end of the
semester. No individual exams will be curved; do NOT ask!
Exercises: Exercises
will be assigned during each class period, which are due the Friday of the same
week, except for Friday assignments, which are due the following Friday. For
the weeks of the exams, no exercises will be turned in. Homework due on
exam days may be turned in on the following Monday. Please turn in all exercises stapled
together in one packet, and indicate which section you are registered.
Attendance: Attendance
is not mandatory but will be critical for success in the course. Much of the material will require in
class participation.
Problem of the Week: You may
earn extra credit by participating in the problem of the week competition. Problems for the competition are due in
the math office by 10am on Mondays.
Turn in by that time a copy
to me to earn 1 point; a correct solution will earn a 2nd point.
Academic Dishonesty: Academic
dishonesty is very serious. Any case of cheating, plagiarism, etc, will be
handled as described in the Student Disciplinary Regulations.
Disability
Policy: Please address any special
needs or special accommodations with me at the beginning of the semester or as
soon as you become aware of your needs. Those seeking accommodations based on
disabilities should obtain a Student Academic Accommodation Request (SAAR) form
from the Disability Resources (DR) office (515-294-6624). DR is located on the
main floor of the Student Services Building, Room 1076.
Warning: You may need to hit reload on your browser to get an up to date page.
|
8/24:
Prove f ’(x) = 2x for f(x) = x2 . http://www.maa.org/devlin/devlin_06_03.html Read Chapter 0. |
8/26:
hw2.pdf |
8/28: 1.5; 1.14; 1.16 |
|
8/31:
1.17, 1.27, 1.29 |
9/2: 1.33 |
9/4:
1.42; 1.52 |
|
9/7: No Class |
9/9:
For sets A and B, |AUB| ≤|A| + |B|. Equality if and only if A,B are disjoint. |
9/11: 2.1, 2.4, 2.8, 2.12 |
|
9/14:
2.16, 2.18 |
9/16:
2.28, 2.34 |
9/18: 2.31, 2.32, 2.36 |
|
9/21: 2.46, 2.48. Construct
Truth Table for ~(P^Q),
(~P)v(~Q), (~P)^Q, P^(~Q), (~P)^(~Q). Which
are equivalent? |
9/23: none |
9/25: Exam 1 |
|
9/28: none |
9/30: none |
10/2: 3.1, 3.2, 3.3 |
|
10/5: prove 2Z, 2Z+1 is a partition of Z
3.6,3.7 |
10/7:Prove: For all natural numbers n, if n
is even, then n^2 + n is even. |
10/9: 3.19, 3.22 |
|
10/12: 3.13, 3.14 |
10/14: Prove: 2Z = { n ε Z | n is divisible by 2}. |
10/16:
hw1.pdf |
|
10/19: 4.10, 4.12 |
10/21: 4.31 |
10/23: 4.32, 4.35 |
|
10/26: 4.20, 4.23 |
10/28: 4.24, 4.43 |
10/30: Exam 2 |
|
11/2: 5.2, 5.4 |
11/4: 5.8, 5.12 |
11/6: none |
|
11/9: 6.3, 6.6, 6.47 |
11/11: 6.14 |
11/13: 11.21, 11.24 |
|
11/16: Prove hw1.pdf
using the Division Algorithm. |
11/18: hw3.pdf |
11/20: none |
|
11/23: No Class |
11/25: No Class |
11/27: No Class |
|
11/30: |
12/2: |
12/4: |
|
12/7: |
12/9: |
12/11: |