Math 201, Spring 2012, Section B

Introduction to Proofs

Instructor:

Eric Weber

Email:

esweber@iastate.edu

Office:

Carver Hall 454

Phone:

294-8151

Office Hours:

M 3:10-4:00pm; W 2:10-3:00pm; F 1:10-2:00pm.

 

 

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 Thinking, 2nd ed., D’Angelo and West.  Prentice Hall.

Grading:  Grade percentages breaks down as follows:

 

Assignment:

Percentage:

Date:

Midterm Exam 1

20%

Feb. 7

Midterm Exam 2

20%

March 7

Final Exam

30%

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, and are due the following class period.  Each exercise is worth 2 points; one point will be awarded for turning the assignment in on time, and a second point for correctly solving the problem. I expect you to turn in a first attempt on time; however, the emphasis here is on correctness of your work. Thus, you will be able to make revisions and turn in the problem a second time to earn a second point, if correct. Every submission must contain your name and the date the problem was originally assigned. 

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.

 

1/9:  Prove f ’(x) = 2x for f(x) = x2 .

http://www.maa.org/devlin/devlin_06_03.html

1/11:  hw1.pdf

1/13:  hw2.pdf

1/16:  No Class.

 

1/18:  Pg 23 #1.41 a) c)

“Explain” means “prove”.

1/20:  hw3.pdf

1/23:  Pg 24 #1.47

 

1/25:  Pg 24 #1.51

1/27:  Critique the proof given in Example 1.50 on pgs. 19,20.

1/30:  Pg 44 #2.4 a,b.

Restate the original sentences and their  negations using the notation from class.

2/1:  Pg 44 #2.2

 

2/3:  Pg 47, #2.34 a).  Restate as a biconditional, then prove.

2/6:  Pg 48 #2.38.  Prove the statements true or demonstrate they are false by counterexample.

2/8:  Review

 

2/10:  Exam 1

2/13:  Ch. 3

 

2/15:  Ch. 3

2/17:  Ch. 3

2/20:  Ch. 3

 

2/22:  Ch. 4

2/24:  Ch. 4

2/27:  Ch. 4

 

2/29:  Ch. 4

3/2:  Ch. 4

3/5:  Review

 

3/7:  Exam 2

3/9:  Ch. 13

3/19:  Ch. 13

 

3/21:  Ch. 13

3/23:  Ch. 13

3/26:  Ch. 13

 

3/28:  Ch. 13

3/30:  Ch. 14

4/2:  Ch. 14

4/4:  Ch. 14

4/6:  Ch. 14

 

4/9:  Ch. 14

 

4/11:  Ch. 14

4/13:  Ch. 15

4/16:  Ch. 15

 

4/18:  Ch. 15

4/20:  Ch. 15

4/23:  Ch. 15

4/25:  Ch. 15

 

4/27: Review

 

 

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