Mathematics 3210-01: Foundation of Analysis I



Schedule: Monday, Wednesday, Thursday and Friday at 9:40-10:30 AM (in ST 208)

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 variables. 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 Friday, January 25, in the class)
Solution of First Homework
Second Homework (The homework is due on Monday, February 11, in the class)
Solution of Second Homework
Third Homework (The homework is due on Monday, February 25, in the class)
Solution of Third Homework
Fourth Homework (The homework is due on Friday, March 8, in the class)
Solution of Fourth Homework
Fifth Homework (The homework is due on Thursday, April 4, in the 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, February 22.
Solution of First Midterm
Second Midterm Exam is on Friday, April 5.
Solution of Second Midterm


Final Exam: According University final exam schedule on Thursday, April 25, 8:00 - 10:00 AM. The final exam will be comprehensive and count as 40% of the final grade.
Solution of Final Exam


Last edit by dm, March 26, 2019.