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Text: An Introduction to Analysis, Robert Gunning, Princeton University Press (2018)

Topics/Sections Covered: Chapters 1 - 3

Course Schedule

Grading Scheme:

Class Participation 20%
Exam 1 15%
Exam 2 15%
Exam 3 15%
Exam 4 15%
Exam 5 15%
Final Exam 5%

(Below 60% F; 60-69% D; 70-79% C; 80-89% B; 90-100% A)

Administrative Details (please read this)

Example proposals:

Example of a presentation proposal for an easy problem (latex source) custom definitions

Example of a presentation proposal for a harder problem (latex source) custom definitions

Example of a presentation proposal for a hard problem (latex source) custom definitions

Example of a first presentation proposal from a student Example of suggestions for revision

Example of an Exemplary Proposal

Course Materials:

Numbers

Consistency

Cantor-Bernstein theorem

Products and the Axiom of Choice

Coroducts and the Axiom of Choice

Equivalence Relations, Order Relations, and Cardinality

From the Naturals to the Integers

From the Integers to the Rationals

A Construction of the Reals

Completeness I

Arithmetic I

A Proof from the Book

Completeness of the Integers

Open Intervals and Open Sets

Lecture Notes on Continuity

Self Assessment:

Facts in Analysis

Continuity and Uniform Continuity

Public Proposals/Presentations/Evaluations/Revisions

Old Fashioned Exams:

Exam 1   Solution

Exam 2   Solution

Final Exam Friday April 24 2:40-5:30   Solution

Policy on missed exams: Official written excuse required.

Link to GT code

Sample Exams:

Exam 1 (new)
Exam 2 (new)
Exam 3
Exam 3 extras
Final Exam (new)

Schedule and Assignments