Math 331: Foundations of Analysis

Course Materials and Links

A Guide for Reading A Tour of the Calculus. A copy of the book is available On Reserve in the Library or a used copy can be purchased inexpensively online. Spanish translation of The Guide.
Assignment for Day 1.
Assignment for Day 2. Read the first six chapters of A Tour of the Calculus.
Assignment for Day 3.
Assignment on Rational Numbers. (Do with a partner; due Friday.)
Assignment for Day 4.
Assignment for Day 5 and the list of Field Axioms and basic Field Properties.
Assignment for Day 6.
Assignment for Day 7.
Assignment for Day 8.
Assignment for Day 9.
Assignment for Day 10.
Assignment for Day 11.
Test 1 Topics .
Assignment for Day 14.
Assignment for Day 15.
Assignment for Day 16
Assignment for Day 17.
Assignment for Day 18.
Assignment for Day 19.
Assignment for Day 20.
Assignment for Day 21.
Assignment for Day 22.
Assignment for Day 24.
Assignment for Day 25.
Assignment for Day 26.
Assignment for Day 27.
Assignment for Day 28.
Assignment for Day 29.
Assignment for Day 30.
Integrability of Composite Functions Power Point.
Assignment for Day 31.
Assignment for Day 32.
Assignment for Day 33.
Assignment for Day 35.
Assignment for Day 36.
Assignment for Day 37.
Assignment for Day 38.
Assignment for Day 39.
Assignment for Day 40. Try a few examples with the Maple code.
Sequences of Functions. It will work only on machines with JAVA installed.
Assignment for Day 41.

Outline of Weekly Readings

This assumes a fairly rapid pace through the listed materials. We may need to adjust this schedule based on our actual work in class.

Week	Topics and Readings
Weeks 1 and 2	Construction of the Real Numbers and Their Properties. Chapter 1
Weeks 3 and 4	Limits: Chapter 2, Sections 1-3.
Wednesday, February 20	Exam 1. This exam will be in the late afternoon (4:30 pm) or early evening (7pm).
Weeks 5 and 6	Continuity. Chapter 2, Sections 4 and 5.
Weeks 7 and 8	Differentiation. Chapter 3 Sections 1-3.
Friday, March 15	Exam 2 in Class (unless we can all agree on a Thursday afternoon or evening time).
Weeks 9, 10 and 11	Integration. Chapter 3, Sections 4-7
Week 12	Sequences. Chapter 4, Sections 1-2.
Monday, April 22.	Exam 3. This exam will be in the late afternoon (4:30 pm) or early evening (7pm).
Week 13	Series. Chapter 4, Sections 3-4.
Week 14 and 15	Sequences and Series of Functions: Chapter 4, Sections 5 and 6.
Saturday, May 11, 2013	Final Exam at 8:30 AM

A Note about the Center for Teaching and Learning (CTL)

At Hobart and William Smith Colleges, we encourage students to seek the academic collaboration and resources that will enable them to do their best work. The CTL offers a variety of resources that can help students achieve academic success, including Teaching Fellows, Writing Colleagues (for help on papers), Study Mentors (for help with study skills and time management), Group Study Tables (for content help in specific courses), and more. For more information on these resources, visit the CTL webpage at http://www.hws.edu/academics/ctl/index.aspx, or visit the CTL Blackboard site.

Disability Accommodations: If you are a student with a disability for which you may need accommodations, you should self-identify and register for services with the Coordinator of Disability Services at the Center for Teaching and Learning (CTL), and provide documentation of your disability. Disability related accommodations and services generally will not be provided until the registration and documentation process is complete. The guidelines for documenting disabilities can be found at the following website: http://www.hws.edu/disabilities.

Please direct questions about this process or Disability Services at HWS to David Silver, Coordinator of Disability Services, at silver@hws.edu or x3351.