Mathematics H104

Notes on Riemann Integral (last update: Fri, Dec 3)

Notes on Topology (last update: Sun, Nov 28, 11:20pm)

due Wednesday, December 1
Download the most recent version of Notes on Uniform Structure (last update: Tue, Nov 30, 6:00pm - IMPORTANT: small corrections to Exercises 3 5 and 9), study it paying special attention to the concepts, notation, and methods used. Do all the exercise -- as you encounter them while studying. The following ones are to be submitted in written form on Wednesday: 5 9 13 through 18 20 through 27. Important: visit this place at least once a day to check for possible updates, additional suggestions or instructions.

due Wednesday, November 24
Download the most recent version of Notes on Topology (last update: Sun, Nov 21, 10:50pm) and study the material added since last week: new material in subchapter 2.3, an entirely new subchapter 3.6 (Natural topologies), Section o5.3.5 (Tichonov's Theorem), and do exercises 17 through 19, 50 through 54, 58, 66 and 68.

due Friday, November 19
Carefully study the updated Notes on Topology paying special attention to the material added since last week, and do Exercises 7, 32 through 35, 51 through 62.

due Wednesday, November 10
Carefully study the updated Notes on Topology and do all previously not assigned exercises, i.e., 6 7 11 26-31 34-37.


due Wednesday, November 3
Study the updated Notes on Topology and do exercises 13 and 18 through 32.

due Wednesday, October 27
Study the Notes on Topology and do exercises 1 through 16.


due Friday, October 22
Study the Notes on Sets, Mappings, and Cardinality and do all the exercises.

due October 13
Exercises 40 and 41 from the Notes on Ordered Sets and (orally) a thorough study through Rudin's Chapter 2, pages 24-30.

due October 6
Exercises 30 through 39 from the Notes on Ordered Sets.

due September 29
Exercises 25 through 29 from the freshly updated Notes on Ordered Sets.

due due September 22
Exercises 5 through 9 from the revised Notes on Ordered Sets and, additionally, prove that the relation on fractions

k/l  ~ m/n   if  kn = lm

(where k,m are arbitrary integers, and l,n are positive integers) is transitive.

due September 15
Exercises 8 through 19 from the Notes on Ordered Sets.

due September 8
Exercises 1 through 7 from the Notes on Ordered Sets and Exercise 2 from Chapter I in Rudin.