Course

I will contact all of you by enmail very soon. No homework is due until we decide how we will turn it in. Tentatively HW is now due April 4

in the form of emai Jeffrey.lee (at) ttu (dot) edu

Homework:

1. Page 31 numbers 10,11,16,22 and Page 36 numbers 4,5,9,10,15,18

(Due in class on Jan. 28)

2. Page 39-40 numbers 1,2,3,4,5 , 8, 14

(Due in class on Jan 30)

3. Page 44 and 45 numbers 1,2,3,48,11

page 52 numbers 2,3,7,8,9

Due in class Feb 6

4. Page 62, numbers 2,5,11,15 and page 69 numbers 1,2,3,4,5,6 7, 14 (present in class) and 22.
Due in class Feb 11. (start now!)

5. (Due 4th of April) Page 77 numbers 1,2,11,12. Page 84 numbers 1,2,3,7,11,12,14. Page 91 problems 1,2,3,5

Exam TBA!

Selected Lecture Notes"

5. Lecture 5, limit theorems

6. Lecture 6 limit theorems continued

7. Lecture 7 Sample exam

Exam 1 will cover sections 1.3, 2.1, 2.2, 2.3, 2.4, 2.5, 3.1, 3.2, 3.3

Exam 1 is on 2/20/2020

Course: Mathematics 4350

Location/Time Tue, Thurs at 12:30-1:50 in MA 012

Descriptive: Title: Advanced Calculus I

Instructor: Jeffrey M. Lee Ph.D.

Email: jeffrey.lee@ttu.edu

Office Hours: 11:00:00-12:00 PM weekdays in my office; MA 239. Office hours are subject to possible change once the semester starts so check with the instructor.

Course Number: Mathematics 4350, 4351

Descriptive Title: Advanced Calculus 1 / Introduction to Analysis

Prerequisites: For 4350, MATH 2350 or 2450 and MATH 2360 and 3310

About the Course: This course covers sets, functions, vector fields, partial derivatives, power series, and theory of integration. Students are expected to present proofs. Math 4350 and 4351 are writing intensive courses.

Student Learning Outcomes: (4350) Students learn how to think and reason abstractly in the context of analysis of the real line, and learn how to write correct and clear mathematical arguments in this context. There will be a heavy emphasis on proofs, especially epsilon-delta proofs. Concepts and skills to be mastered by the students include but are not limited to: suprema, infima, limits of sequences, limits of functions, continuous functions, derivatives of functions on the line.

Text: Introduction to Real Analysis 4rd edition by Bartle and Sherbert, published by Wiley

The above estimates are different for Tuesday-Thursday schedules: 1 day = 50 minutes class time.

Assessment: I will assess student progress and understanding using quizzes, verbal feedback, in class discussions, quizzes and examinations etc. The grading itself will be based solely on examinations, homework, quizzes and perhaps on attendance.

Examinations, Quizzes and Homework: There will be three midterm examinations each worth 100 points and a final exam worth a maximum of 200 points. Quizzes and Homework will combine to provide a possible 50 points (this can be very significant in the end!).

Class Attendance and makeup: Class attendance required and will be randomly checked. No make-up exams or quizzes will be given unless the absence is due to a university sanctioned event, severe/life threatening illness or hospitalization, circumstances beyond the control of the student such as serious traffic accident. In each case proper documentation should be provided and advanced notice given to the instructor when such is possible.

Academic Integrity: Cheating on any exam will result in the student receiving 0% credit for the exam and the student will be reported to the department chairperson or college dean. Text messaging during an examination will automatically be considered cheating as will using a calculator in inappropriate ways.

Civility in the Classroom: Please turn your cell phones off or to silent BEFORE entering the classroom and keep them out of sight at all times. I expect your full attention as I will give you mine when you are speaking. Do not read the newspaper in class.

Course Outline (4350): Chapters 1 and Appendix B (1.1 and 1.2 should be only briefly reviewed)	3 days
Chapter 2	7 days
Chapter 3	10 days
Chapter 4	5 days
Chapter 5	8 days
Chapter 6 (§1-2)	4 days
37 days