Introduction to Analysis II - MA512 - Spring 2014 |

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Course: MA512, Introduction to Analysis II

Professor: Jared Weinstein

Lecture: MWF 12-1, MCS B21

Office hours: R 1-2, MCS 227

Course Overview

This course puts the theorems of calculus on a rigorous footing. Topics include derivatives, Taylor series, ordinary differential equations, the Riemann integral, and Fourier analysis.

Text

Elementary classical analysis, second edition, by Marsden and Hoffman. This course covers Ch. 6-10.

Assignments and Exams

I will be assigning problem sets roughly every week which will usually be due on Fridays. The problem sets are posted in the table below. You are allowed and encouraged to work together on homework assignments, but you must hand in solutions which are written in your own words. Select problems from each assignment will be graded and returned to you the following week.

I will be assigning one take-home midterm on Feb. 28, in lieu of a problem set. This will be due one week later on Mar. 7. You are not allowed to work together on the midterm.

The final exam for the course will be a take-home exam, which will be due Thursday, May 8.

You must take the final exam in order to pass.The grading scheme is: Homeworks 60%, Midterm 15%, Final 25%. Because doing homework assignments regularly is so important for this class, I have given them a high weight in the grading scheme. It may be the case that an emergency prevents you from handing in an assignment on time. That is why I will drop the lowest score from your homework average.

Late homework will not be accepted.

Table of Assignments

HW Assignment Due #1 § 6.1: 2, 3, 5.

§6.2: 2, 3.

§6.3: 1, 4.

§6.4: 2.Jan. 24 #2 § 6.5: 3,5.

§6.6: 2,4.

§6.7: 1,6.Jan. 31 #3 § 6.8: 2,3,5.

§6.9: 1,2.Exercises for Ch. 6: 8, 41.Feb. 7 #4 § 7.1: 3,5.

§7.2: 5.Exercises for Ch. 7: 5c, 5d, 9.Feb. 14 #5 § 7.7: 1.Exercises for Ch. 7: 39.

§8.1: 3, 6.

§8.2: 1, 5, 6.

§8.3: 6.

§8.4: 3.Feb. 28 #6 § 8.5: 5.

§9.3: 3, 4, 5.

§9.5: 2, 4.

§9.7: 1, 5.Mar. 21 #7 § 10.1: 1, 2, 3, 4, 5.

§10.2: 2, 4.Mar. 28 #8 § 10.3: 1c, 1d, 5.

§10.5: 2, 3, 6.Apr. 4 #9 § 10.5: 5.

§10.6: 1, 2.Exercises for chapter 10: 8, 10.Apr. 11 #10 § 10.7:5.

§10.8:2, 3.Exercises for chapter 10: 22,32,60.Apr. 18 #11 Show that the operator i d/dxis self-adjoint.

§10.9: 2,4,5.Exercises for chapter 10: 25.Apr. 30