Lectures: MWF 11:30 am-12:20 pm in Wean Hall room 6423

Final exam: Thursday, May 7, 1-4pm, Scaife Hall room 125

Professor: Robert Pego

• Office: 6130 Wean Hall
• Phone: (412)268-2553
• email: rpego AT cmu.edu
• Office hours: 5-6pm MWTh or by appointment

Teaching assistant:  Michael Klipper

• Office: Wean Hall 7215
• Phone: 412-268-7862
• email: mbk AT andrew.cmu.edu
• Office hours (may change): Th 6:30-7:30, Su 5-6pm or just ask

Recitations are held T-Th in Doherty Hall room 1217:

• Section A: 9:30-10:20 am

Assignments:

• Assignment 1 will be due Tuesday 1/20.
• Assignment 2 will be due Tuesday 1/27.
• Assignment 3 will be due Tuesday 2/3
• Assignment 4 will be due Tuesday 2/17
• Assignment 5 will be due Tuesday 2/24
• Assignment 6 will be due Tuesday 3/17
• Assignment 7 will be due Tuesday 3/24
• Assignment 8 will be due Tuesday 3/31
• Assignment 9 will be due Tuesday 4/7
• Assignment 10 will be due Thursday 4/23

Handouts/Links:

• Practice for test 4
• Fourier series - an example
• A convergence theorem for Fourier series
• Nowhere differentiable continuous functions exist!
• Practice for test 3
• Tools for establishing convergence/divergence of series
• Stirling's formula
• Limit of the error function
• The series of reciprocal primes diverges
• Practice for test 2
• Pi is irrational (improved from class)
• The force between earth and moon
• The logical chain reaction (aka mathematical induction)

Course Description:   Analysis II is a continuation of Analysis I. We will develop some more advanced tools of analysis, including approximation by polynomials and the theory of convergence of infinite sequences and series (including power series). We'll also touch on complex exponentials and logs. As in Analysis I, the goal is to for you to develop strong analytic skills together with solid conceptual understanding. In particular, the homework and tests will contain both computational and theoretical questions.

Grading:   Based on 750 points in total:

• 350 points for in-class tests (four tests 100 points each, lowest discounted 50%),
• 200 points homework,
• 200 points final exam.

Test dates (tentative):

• Test 1: Friday, February 6 (moved)
• Test 2: Friday, February 27
• Test 3: Friday, April 10
• Test 4: Wednesday, April 29
• Final: Thursday, May 7, 1-4pm, Scaife Hall room 125

Homework is due every Tuesday unless announced otherwise. PDF files will be posted online at http://www.math.cmu.edu/~bobpego/21132/ . Working homework problems and writing up solutions is essential for your progress. You should work on all the assigned problems (though not all that is turned in can be graded), and more of your choice.

Academic integrity requires that your tests and homework solutions are your independent work and not copied from other sources. On homework you are encouraged, however, to discuss with others and consult other resources to improve your understanding. But homework solutions from previous semesters, if available, cannot be used.

Make-up tests are only possible in the case of a documented medical excuse, a university-sanctioned absence (e.g., participation in a varsity sporting event), or a family emergency. Please contact me at the earliest time possible to schedule a make-up.

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