Math 2283 - Sequences, Series, and Foundations - Spring 2018

Instructor: Anar Akhmedov

Lectures: MW 12.20pm - 1.10pm in Pillsbury Hall 110.

Discussion Sections:

Section 011. TuTh 12.20p - 1.10p in Vincent Hall 211. TA: Cameron Thieme.

Section 012. TuTh 1.25p - 2.15p in Vincen Hall 211. TA: Cameron Thieme.

E-mail: akhmedov@math.umn.edu

Office Hours: Monday and Wednesday 11.10am - 12.00pm. 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: Cameron Thieme

Cameron's Office Hours: Tuesday and Thursday 2:40 - 3:30pm, Friday 3:30 - 5:30pm. Cameron's office is in room 420 of the Vincent Hall.

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: 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/MA2283.html.

Exams: There will be midterms on February 22 (Thursday), and April 5 (Thursday), and a COMPREHENSIVE FINAL exam on Thursday, May 10, Time: 8.00am - 10.00am. 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.

The Midterm I (February 22 (Thursday)) will cover Chapters 1 and 2. Click here to download SAMPLE MIDTERM I.

The Midterm II (April 5 (Thursday)) will cover Chapter 3. Click here to download SAMPLE MIDTERM II.

COMPREHENSIVE FINAL exam on Thursday, May 10, Time: 8.00am - 10.00am. The final exam will consist of problems similar to the homework and Midterm I-II problems. In addition, I may ask you to reproduce proofs of theorems (from the textbook) that I presented in the lectures. Below I am also including some additional sample problems on Sections 4.1 - 4.11. Click here to download ADDITIONAL SAMPLE PROBLEMS.

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. The first homework assignment will be due on January 23rd. I'll drop the lowest two homework scores 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
01/16-01/19
Section 1.1 (pages 1-6)

Homework 1
due 01/23

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.
01/22-01/26
Sections 1.2, 1.3 (pages 6-16)

Homework 2
due 01/30

Exercises 2.6 - 2.18, 3.2, 3.6, 3.7
Turn in the following: 2.6, 2.12, 2.15, 2.18, 3.6.
01/29-02/02
Section 1.4 (pages 16-28)

Homework 3
due 02/06

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.
02/05-02/09
Sections 2.1, 2.2 (pages 29-42)

Homework 4
due 02/13

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.
02/12-02/16
Section 3.1 (pages 43-50)

Homework 5
due 02/20

Exercises 1.7, 1.14, 1.17 - 1.23.
Turn in the following: 1.7, 1.17, 1.20, 1.23.
02/19-02/23
Sections 3.1, 3.2 (pages 43-57)

Homework 6
due 02/27

Exercises 1. 24 - 1.26, 2.11 - 2.15
Turn in the following: 1.25, 1. 26, 2.12, 2.14, 2.15.
Midterm 1 on Thursday, February 22. The midterm exam will cover Chapters 1 and 2.
02/26-03/02
Sections 3.3, 3.4 (pages 58-63)

Homework 7
due 03/06

Exercise 3.7, 4.4 - 4.6
Turn in the following: 3.7, 4.4, 4.5 (a), (b), (c), (e), (f), (h)
03/05-03/09
Sections 3.5, 3.6 (pages 63-70)

Homework 8
due 03/20

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.
03/19-03/23
Sections 3.7 (pages 71-78)

Homework 9
due 03/27

Exercise 7.2, 7.3, 7.4
Turn in the following: 7.2, 7.3
03/26-03/30
Sections 4.1, 4.2 (pages 81-97)

Homework 10
due 04/03

Exercise 1.11, 2.11, 2.13, 2.14, 2.15, 2.16, 2.19, 2.20, 2.21
Turn in the following: 1.11 d, e, f, k, 2.13, 2.14, parts (a)-(f), (h), and (i), 2.15
04/02-04/06
Sections 4.3, 4.4 (pages 98-109)

Homework 11
due 04/12


Exercise 3.5 a) - g), 3.6, 3.7,
Turn in the following: 3.5 a) - g), 3.6.
Midterm 2 on Thursday, April 5. The midterm will cover Chapter 3.
04/09-04/13
Sections 4.5, 4.6 (pages 109-125)

Homework 12
due 04/19


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
04/16-04/20
Sections 4.7, 4.8 (pages 125-140)

Homework 13
due 04/26


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
04/23-04/27
Sections 4.9 - 4.11 (pages 140-156)

Homework 14
the last homework set will not be collected


Exercise 9.5, 9.6, 9.7, 9.8, 9.10


COMPREHENSIVE FINAL exam on Thursday, May 10, Time: 8.00am - 10.00am. The final exam will consist of problems similar to the homework and Midterm I-II 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%). 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. If your cumulative score is at least 450 points (that is, 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.

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.

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