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100212

Analysis II, Spring 2008

Overview:
Analysis I/II is one of the fundamental courses in the mathematical education (together with Linear Algebra I/II). Its goal is to develop calculus in a rigorous manner and in sufficient generality to prepare the student for advanced work in mathematics

Course Material:

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Problem set 1	Quiz 1
Problem set 2	Quiz 2	Analysis 1 script
Problem set 3	Quiz 3	Analysis 2 schedule
Problem set 4	Quiz 4
Problem set 5	Quiz 5
Problem set 6	Quiz 6	Midterm exam
Problem set 7	Quiz 7
Problem set 8	Quiz 8
Problem set 9		Final exam
Problem set 10
Problem set 11
Problem set 12

Announcements:

All done! Have a good summer! ,

Welcome to Analysis II !!.

Instructor:
Götz Pfander,
Research I, Room 112,
Tel. 3211,
Office Hour: Wednesday, 2:15 pm – 3:00 pm (or by appointment).
e-mail: g.pfander@jacobs-university.de.

Teaching Assistant:
Sergei Markouski,
Research I, Room 116a,
Tel. 3511
Office Hour: Mondays, 1:15 pm – 2:00 pm.
e-mail: s.markouskir@jacobs-university.de.

Lectures:
Tuesdays, 11:15 am, East 8, and Fridays 8:15 am, East 8

Tutorials:
Thursdays, 12:35 pm, East 8

Course Schedule:

Textbooks:
W. Rudin, Principles of Mathematical Analysis, McGraw Hill Text
(The classic textbook, fairly expensive, int. edition ca. 60€)

M. Rosenlicht, Introduction to Analysis, Dover Publications
(Excellent cheap alternative to Rudin, ca 15€)

C. C. Pugh, Real Mathematical Analysis, Springer
(Excellent modern book, my favorite, ca 50€)

www:
http://www.math.jacobs-university.de/pfander/analysis1_2007.php
http://www.jacobs-university.de/academics/courses/Fall_2007/SES/100211_1/

Grading:
Your grade is determined by how many points you obtain out of 1000 possible points according to the table on the right. Points can be collected via Homework (300 pts), Quizzes (180 pts), Midterm Exam (220 pts) and Final (300 pts). (You can also find a fill in yourself table here).

 

Homework:
Twelve problem sets will be passed out during the semester (see schedule). Each homework is worth 30 points; your two worst homework scores are dropped. The homework is due Tuesday, noon, . Deliver it to the Analysis I mailbox in the lobby of Research 1. Every day you hand in your homework late will result in a deduction of 5 points from your final score.

We encourage you to discuss homework problems with fellow students. However, the homework you hand in may not be copied and must reflect your own understanding of the material.

Quizzes:
Eight quizzes will be given in class (see schedule), each carrying 30 points. The best six quizzes will count towards your quiz score (out of 200).

Quizzes will be approximately 10 minute closed book examinations,

Makeup quizzes are only given if you missed more than three quizzes (excused).

Exams:
The midterm exam is worth 200 points. It will be administered in class on Monday, October 22nd. The final exam, worth 300 points, will be scheduled by teh registrar to be held within finals week.

The material used as well as the rules for the exam will be announced one week prior to the exam.

Prerequisites:
This course is a continuation of 100211 Analysis I which is a prerequisite to this course. Main themes are integration theory on the real line, curves and their lengths, basics of ordinary differential equations, and differentiation in several real variables.

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