Math 3325

Transition to Advanced Mathematics
Spring 2016


 Instructor: Dr. Blerina Xhabli
Graders: Mr. Zhenhua Wang & Ms. Farnaz Ziae,
------------ both graduate teaching assistants
Course details:
Announcements:

 → Practice Problems from Section 5.1, 5.2.
→ The Final exam is cumulative: Exam #1 topics, Exam #2 topics, and the Practice Problems.
→ Final Exam: Thursday, May 12, 11:00AM - 2:00PM.
→ Review for the final will be done on Tuesday, May 3.

Reading Assignment #14 to be done prior to class on Tuesday/Thursday, 04/26-04/28:
Exam #2 on Tuesday, 04/26; Read Sec. 5.3, 5.4, 5.5

Reading Assignment #13 to be done prior to class on Tuesday/Thursday, 04/19-04/21:
Read Sec. 5.1, 5.2, 5.3

→ Exam #2: Tuesday, April 26, 10:00AM (postponed)

Homework#10, Due Thursday, 04/14.

Reading Assignment #12 to be done prior to class on Tuesday/Thursday, 04/12-04/14:
Read Sec. 4.4, 4.5 and Review #2.

→ Exam #2: Tuesday, April 19, 10:00AM.
→ Review #2 will be done next Thursday, 04/14.

Homework#9, Due Thursday, 04/07.

Reading Assignment #11 to be done prior to class on Tuesday/Thursday, 04/05-04/07:
Read Sec. 4.2, 4.3, 4.4, 4.5.

Homework#8, Due Thursday, 03/31.

Reading Assignment #10 to be done prior to class on Tuesday/Thursday, 03/29-03/31:
Read Sec. 3.4, 4.1, 4.2, 4.3.

Homework#7, Due Thursday, 03/24.

Reading Assignment #9 to be done prior to class on Tuesday/Thursday, 03/22-03/24:
Read Sec. 3.2, 3.3, 3.4, 4.1.

Homework#6, Due Thursday, 03/10.

Reading Assignment #8 to be done prior to class on Tuesday/Thursday, 03/08-03/10:
Read Sec. 3.1, 3.2, 3.3, 3.4.

Reading Assignment #7 to be done prior to class on Tuesday/Thursday, 03/01-03/03:
Exam #1 on Tuesday, 03/01; Read Sec. 2.3, 2.5

Reading Assignment #6 to be done prior to class on Tuesday/Thursday, 02/23-02/25:
Read Sec. 2.3, Sec. 2.4 and Sec. 2.5, Review #1

Homework#5, Due Thursday, 02/25.

→ Exam #1: Tuesday, March 1, 10:00AM.
→ Review #1 will be done next Thursday, 02/25.

Reading Assignment #5 to be done prior to class on Tuesday/Thursday, 02/16-02/18:
Read Sec. 2.2, Sec. 2.3, Sec. 2.4 and Sec. 2.5.

Homework#4, Due Thursday, 02/18.

Reading Assignment #4 to be done prior to class on Tuesday/Thursday, 02/09-02/11:
Read Sec. 1.6, Sec. 1.7, Sec. 2.1 and Sec. 2.2.

Homework#3, Due Thursday, 02/11.

Reading Assignment #3 to be done prior to class on Tuesday/Thursday, 02/02-02/04:
Read Sec. 1.4, Sec. 1.5 and Sec. 1.6.

Homework#2, Due Thursday, 02/04.

Reading Assignment #2 to be done prior to class on Tuesday/Thursday, 01/26-01/28:
Read Sec.1.2, Sec.1.3 and Sec.1.4.

Homework#1, Due Thursday, 01/28.

Reading Assignment #1 to be done prior to class on Thursday, 01/21:
Read Sec.1.1 and Sec.1.2.

Reading Assignment #0 to be done before beginning the 1st Chapter:
Read "Preface to the Student".

Introduction: This course is an introduction to proofs and the abstract approach that characterizes upper level mathematics courses. The goal is to give students the skills and techniques that they will need as they study any type of advanced mathematics.

A major objective of the course is for students to learn to read, write, and understand proofs.
Learning to write proofs is difficult, and you will be challenged in many ways throughout this course.
Research has shown that the most successful students are the ones who:
1. believe that one's ability to learn is not fixed; that one becomes better at any subject with effort and practice, and that failure is not permanent.
2. stick with and pursue a goal over a long period of time. This includes the ability to stay determined and motivated despite experiences with failure or adversity.

Please read some students' successful experiences in learning mathematical proofs:
What is the Best Way to Learn Mathematical Proofs?