Mathematics 3210-02: Foundation of Analysis I



Schedule: Monday, Tuesday, Wednesday and Friday at 9:40-10:30 AM (in AEB 340)

Text: Joseph L. Taylor, Foundation of Analysis, American Mathematical Society, Providence, 2012

Contact:

Office: LCB 104

Phone: (801)581-5272

E-mail: milicic@math.utah.edu

Office hours: After classes or by arrangement.

Course Content: The main objective of the course is to learn the foundation of calculus of functions of one variable. Students should gain an appreciation for proofs and abstraction from learning the basic concepts of differential and integral calculus of functions of one variable. We will cover material from chapters 1-6 of the textbook:

Chapter 1: The real numbers

Chapter 2: Sequences

Chapter 3: Continuous functions

Chapter 4: The derivative

Chapter 5: The integral

Chapter 6: Infinite series


Homeworks: Homework will be assigned in regular intervals. Students will have a week to do the homework. Homework will determine 20% of the final grade.

First Homework (The homework is due on Wednesday, September 18, in class.)
Solution of First Homework
Second Homework (The homework is due on Monday, September 30, in class.)
Solution of Second Homework
Third Homework (The homework is due on Tuesday, October 15, in class.)
Solution of Third Homework
Fourth Homework (The homework is due on Friday, November 1, in class.)
Solution of Fourth Homework
Fifth Homework (The homework is due on Friday, November 15, in class.)
Solution of Fifth Homework
Sixth Homework (Will not be collected and graded)
Solution of Sixth Homework


Midterm Exams: There will be two midterm exams approximately after first third and second third of the semester. Precise dates will be discussed in class. Each midterm will count as 20% of the final grade.

First Midterm Exam is on Friday, October 18.
Solution of First Midterm
Second Midterm Exam is on Tuesday, November 26.
Solution of Second Midterm
Solution of Final Exam


Final Exam: According University final exam schedule, on Thursday, December 12, 2019 from 8:00 - 10:00 am. The final exam will be comprehensive and count as 40% of the final grade.



Last edit by dm, October 6, 2019.