MATH 4650 - Analysis I

Syllabus:

• Syllabus

Study guides:

• Test 1 study guide
• Test 2 study guide
• The final will be a cumulative exam covering the material from test 1 and test 2. 

Test solutions:

• Test 1 and solutions

My notes: These are the notes that I'm using to teach the class.
The notes for each day of class will be put into the calendar
below that has the schedule.

• Topic 1 - Properties of the real numbers
• Topic 1a (optional) - Derivation of real number properties
• Topic 2 - Sequences
• Topic 2a (optional) - Application to calculating square roots
• Topic 3 - Infinite series
• Topic 4 - Limits of functions
• Topic 5 - Continuity
• Topic 6 - Uniform continuity
• Topic 7 - Dedekind cuts (this will be a handout)

More on Dedekind cuts:

• Todd Kemp's handout on the construction of the real numbers using Cauchy sequences.
• Here's an outline on constructing the real numbers via Dedekind cuts.
   

Homework:

Schedule and lecture notes: