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Analysis I

Math 3150, Section 001 - Analysis I, Spring 2019 [Course Syllabus]

Lectures: MWF 11:15 - 12:05 at MONT 314
Office hours: MW 1pm-2pm at MONT 304
Required Text Book: Elementary Analysis: The Theory of Calculus by Kenneth A. Ross. ISBN 978-1-4614-6270-5, Springer; 2nd ed. 2013 edition (April 17, 2013).
Exam Dates:
Exam 1: March 1, Friday.
Exam 2: April 5, Friday.
Final Exam: To be announced by the registrar office.
Grading policy: Quiz: %20, Homework: %10, 1st Exam: %20, 2nd Exam: %20, Final Exam:%30.

• Homework

• HW1: Assigned problems for sections 1.1 to 1.5. Due date: Monday, February 4 before the class.
• HW2: Assigned problems for sections from 2.7 to 2.9. Due date: Friday, February 8 Monday, February 11 before the class.
• HW3: Assigned problems for 2.9 (if you did not sovle in HW2) and problems in this old exam. Due date: Monday February 18 before the class.

• Lecture and Assignment Schedule

• Section Covered on Topics Assigned Problems
1.1 01/23 The Set $\mathbb{N}$ of Natural Numbers Page 5, Exercises 1.4, 1.7, 1.11.
1.2 01/23 and 01/25 The Set $\mathbb{Q}$ of Rational Numbers Page 13, Exercises 2.3, 2.8.
1.3 01/25 The Set $\mathbb{R}$ of Real Numbers Page 19, Exercises 3.6, 3.7.
1.4 01/30 The Completeness Axiom Pages 27-28, Exercises 4.1,4.3, 4.14.
1.5 02/01 The Symbols $+\infty$ and $-\infty$ Page 30, Exercise 5.6.
2.7 and 2.8 02/01 and 02/04 and 02/06 Limits of Sequences and A discussion about Proofs Page 44, Exercises 8.2 (b) (d) (e), 8.4, 8.6.
2.9 02/06 and 02/08 and 02/11 and 02/13 Limit theorems for sequences Page 54, Exercises 9.1 (a) (c), 9.2 (a) (b), 9.3, 9.4, 9.5.
2.10 02/15 and 02/18 and 02/20 Monotone sequences and Cauchy sequences Pages 64-65-66, Exercises 10.1 (a) (c) (e), 10.2, 10.4, 10.6 (a) (b), 10.7, 10.10, 10.12.
2.11 02/15 and 02/18 and 02/20 Subsequences Pages 76-77-78, Exercises 11.4, 11.10, 11.11