Math 2283 - Sequences, Series, and Foundations - Spring 2013

Instructor: Anar Akhmedov

Lectures: MW 12.20p - 1.10p in Phys 210.

Discussion Sections:

Section 011. TuTh 12.20p - 1.10p in Vincent Hall 6. TA: Quenneville-Belair, Vincent.

Section 012. TuTh 1.25p - 2.15p in Amundson Hall 116. TA: Quenneville-Belair, Vincent.

E-mail: akhmedov@math.umn.edu

Office Hours: Monday 11.00 - 11.50am, Friday 3.30pm - 5.10pm, or by appointments. If you have questions, I encourage you to come to my office hours. This would be the best time to talk to me and address questions you have about the course material, homework assignments, grading, exams, etc. My office is in room 355 of the Vincent Hall.

TA: Quenneville-Belair, Vincent.

Vincent's Office Hours: Tuesday 14:15-15:15, Wednesday 14:30-15:30, Friday 14:00-16:00.

Prerequisites: Math 2243, or Math 2263, or Math 2373, or Math 2374.

Textbook: Wayne Richter: Sequences, Series and Foundations (course packet available at ALPHA PRINT in Dinkytown)

Syllabus: Click here to download course syllabus in PDF format. Math 2283 is intended as a gentle introduction to the type of mathematical reasoning that is used in more advanced mathematics courses. It is recommended that students have the equivalent of at least three semesters of calculus before taking this course. Topics include: elements of logic, mathematical induction, real number system, general, monotone, recursively defined sequences, convergence of infinite series/sequences, Taylor's series, power series with applications to differential equations, Newton's method.

Web page: http://www.math.umn.edu/~akhmedov/M2283.html.

Exams: There will be midterms on February 21 (Thursday), and April 4 (Thursday), and a COMPREHENSIVE FINAL exam on Saturday, May 18, 4:00 p.m.- 6:00 p.m. Notes, books, or graphing calculators will not be permitted for exams, but you may use a basic scientific calculator for computational purposes. Please bring your student ID to the exam. NO MAKE UP EXAMS WILL BE GIVEN. If you have any problem with the grading of your exam, you must bring it to my attention immediately (the same day the tests are returned)! Otherwise, I'll not be able to make any changes.

Homework: There will be a weekly homework assignments. The homeworks will be due (usually) the following week on Tuesday, in your discussion section. Please check this website for the list of homework problems and due dates. No late homework will be accepted. The first homework assignment will be due on January 29th. I'll drop the lowest homework score before determining your final course grade. You are expected to try all the assigned problems, though the TA will grade a selected set of problems. You may collaborate on the homework problems, but you must write your own solutions. Please staple your homework before handing it in. If you have questions about the homework, it is best to ask during my office hours. Any questions about homework grading should be first addressed to the teaching assistant.

Week Reading Assignment Problems
01/22-01/25
Section 1.1 (pages 1-6)

Homework 1
due 01/29

Exercises 1.1.2 - 1.1.4 and 1.1.6 - 1.1.9.
Turn in the following: 1.1.3, 1.1.4, 1.1.6, 1.1.8.
01/28-02/01
Sections 1.2, 1.3 (pages 6-16)

Homework 2
due 02/05

Exercises 2.6 - 2.18, 3.2, 3.6, 3.7
Turn in the following: 2.6, 2.12, 2.16, 2.17, 2.18, 3.6.
02/04-02/08
Section 1.4 (pages 16-28)

Homework 3
due 02/12

Exercises 4.4 - 4.11 and 4.16 - 4.26.
Turn in the following: 4.6, 4.10, 4.17, 4.20, 4.21, 4.22.
02/11-02/15
Sections 2.1, 2.2 (pages 29-42)

Homework 4
due 02/19

Exercises 1.7 - 1.10, 1.12, 2.8 - 2.14, 2.17, 2.19 - 2.23.
Turn in the following: 1.12, 2.8, 2.11, 2.12, 2.13, 2.20.
02/18-02/22
Section 3.1 (pages 43-50)

Homework 5
due 02/26

Exercises 1.7, 1.14, 1.17 - 1.27.
Turn in the following: 1.7, 1.19, 1.20, 1.23, 1.25, 1.26.
Midterm 1 on Thursday, February 21. The midterm will cover Chapters 1 and 2.
Click here to download SAMPLE MIDTERM.
Click here to download solutions to SAMPLE MIDTERM.
02/25-03/01
Sections 3.2 (pages 51-57)

Homework 6
due 03/05

Exercises 2.11 - 2.15
Turn in the following: 2.12, 2.14, 2.15.
03/04-03/08
Sections 3.3, 3.4 (pages 58-63)

Homework 7
due 03/12

Exercise 3.7, 4.4 - 4.6
Turn in the following: 3.7, 4.4, 4.5 (a), (b), (c), (e), (f), (h)
03/11-03/15
Sections 3.5, 3.6 (pages 63-70)

Homework 8
due 03/26

Exercise 5.5, 5.6, 6.3, 6.6 - 6.13, 6.14-6.17, 6.22.
Turn in the following: 5.6, 6.6, 6.7, 6.8, 6.9, 6.13, 6.14, 6.22.
03/25-03/29
Sections 3.7 (pages 71-78)

Homework 9
due 04/02

Exercise 7.2, 7.3, 7.4
Turn in the following: 7.2, 7.3
04/01-04/05
Sections 4.1, 4.2 (pages 81-97)

Homework 10
due 04/09

Exercise 2.11, 2.13, 2.14, 2.15, 2.16, 2.19, 2.20, 2.21
Turn in the following: 2.11, 2.13, 2.14, parts (a)-(f), (h), and (i), 2.15
Midterm 2 on Thursday, April 4. The midterm will cover Chapter 3.
Click here to download SAMPLE MIDTERM II.
04/08-04/12
Sections 4.3, 4.4 (pages 98-109)

Homework 11
due 04/16


Exercise 3.5 a) - g), 3.6, 3.7,
Turn in the following: 3.5 a) - g), 3.6.
04/15-04/19
Sections 4.5, 4.6 (pages 109-125)

Homework 12
due 04/23


Exercise 5.9, 5.10, 5.11, 5.12 a) - z) 6.12, 6.13, 6.15, 6.16
Turn in the following: 5.9, 5.10, 5.12 a) - i), 6.12, 6.15
04/22-04/26
Sections 4.7, 4.8 (pages 125-140)

Homework 13
due 04/30


Exercise 7.8, 7.9, 7.10, 7.12, 8.15, 8.17, 8.18,
Turn in the following: 7.8, 7.10, 8.15, 8.17, 8.18
04/29-05/03
Sections 4.9 - 4.11 (pages 140-156)

Homework 14
due 05/07


Exercise 9.5, 9.6, 9.7, 9.8, 9.10
Turn in the following: 9.6, 9.8, 9.10


COMPREHENSIVE FINAL exam on Saturday, May 18, 4:00 p.m.- 6:00 p.m. The final exam will consist of problems similar to the homework problems. In addition, I may ask you to reproduce proofs of theorems (from the textbook) that I presented in the lectures.

Grading: Homework - 100 points (20%), Midterm 1 - 100 points (20%), Midterm 2 - 100 points (20%), Final Exam - 200 points (40%). If your cumulative score is at least 450 points (90%) you are guaranteed an A, if your score is at least 375 (75%) you are guaranteed a B-, and if your score is at least 300 (60%) you are guaranteed a C- for the class. In order for you to succeed in this course make sure you read the textbook, do the homework assignments, listen to the lecture, attend your discussion section, and ask questions if there is anything you don't understand.

Academic integrity: Cheating of any kind will not be tolerated! Cheating on the exams will result in an "F" grade for the entire semester. Cheating includes bringing notes into exams, glancing at neighbors exams and copying the homework of a fellow student. Any appearance of cheating will be reported to the Dean of Students office. Students will be responsible for the policy of University of Minnesota concerning academic honesty.

Class conduct: Students are responsible for everything that is announced or discussed in class. You are expected to attend all lectures. Students who miss lectures will find it very difficult to succeed on the examinations. Late arrivals or early departures are disruptive and distracting and should be avoided. Please refrain from talking during class; it is disruptive to your fellow students and to me.

General Information and Resources: Mathematics Tutoring Services, Official University calendar , Final exam schedule, Mathematical competitions at UMN