Dr. J. Ramanathan


Mathematical Reasoning (Math 110)

Course Documents


21-01-2018 Sun

Read sections 3.1 and 3.2. Suggested problems from these two sections are

  • Section 3.1: Exercises 1-24, odd.
  • Section 3.2: Exercises 1-34, odd.

Problem set C is posted and is due on 29 January.

18-01-2018 Thu

The group quiz on Monday will cover the first four sections of chapter 2. In preparation, you should:

  • read those sections, and
  • work on as many of the suggested problems (listed below) as you can.

The key to problem set B is available.

17-01-2018 Wed

My office hours for this semester are:

  • MW 10:30 - 10:55 am
  • MW 1:45 - 2:30 pm
  • MW 4:45 - 5:25 pm
14-01-2018 Sun

The key to problem set A is available.

10-01-2018 Wed

Problem set B is posted and is due next Wednesday, 17 January.

You should be reading 2.3 and 2.4. Here are some suggested problems from those sections:

  • Section 2.3: Exercises 7-46, odd.
  • Section 2.4: Exercises 5-32, odd.
08-01-2018 Mon

You should be reading sections 2.2 and 2.3. Here are some suggested problems:

  • Section 2.1: Exercises 9-30, odd.
  • Section 2.2: Exercises 9-36, odd.
08-01-2018 Mon

There seems to be a problem at the bookstore re the text. I am posting the first problem set with problems attached, so that students without the text can get the homework done this Wednesday.

02-01-2018 Tue

The first reading assignment is to read sections 2.1 and 2.2 of the course pack. The first problem set is also available. The due date for me is Wednesday, 10 January.

02-01-2018 Tue

The course syllabus has been posted.

The dates for the two tests are in that document. The dates for the final in my two sections of 110 are:

  • MW 11:00 am section: Monday, 23 April 11:00 am - 12:30 pm
  • MW 12:30 pm section: Wednesday, 18 April 11:30 am - 1:00 pm

Mathematical Structures for Computer Science (Math 205)

Course Documents


21-01-2018 Sun

Problem set C is posted and is due 29 January. The little code snippet we discussed last Wednesday is available, as well.

17-01-2018 Wed

The slides for the python introduction are posted.

11-01-2018 Thu

My office hours for this semester are:

  • MW 10:30 - 10:55 am
  • MW 1:45 - 2:30 pm
  • MW 4:45 - 5:25 pm
10-01-2018 Wed

Problem set B is posted and is due Monday, 22 January.

Read chapter 1, sections 5 and 6. Suggested problems are

  • Chapter 1, section 5: Exercises 1-40, every other odd.
  • Chapter 1, section 6, Exercises 1-20, odd.
08-01-2018 Mon

Here are some more suggested problems:

  • Chapter 1, section 3: Exercises 1-33, odd.
  • Chapter 1, section 4: Exercises 1-20,odd.
03-01-2018 Wed

The reading assignment is chapter 1, sections 1,3 and 4. Suggested problems are

  • Chapter 1, section 1: Exercises 31-41.
02-01-2018 Tue

The syllabus for the course is available. The first problem set is also available. The due date for this problem set is Wednesday, 10 January.


  • Bressoud, David. A Radical Approach to Real Analysis. Mathematical Association of America, Washington D.C. 1994.

    A genetic development of the basic notions of convergence.

  • Courant, Richard and Fritz, John. Introduction to Calculus and Analysis I. Springer 1998.

    A reissue of one of the classic calculus texts.

  • Steele, Michael. The Cauchy-Schwarz Master Class. Cambridge University Press, New York 2004.

    An engaging introduction to inequalities.

  • Hoffman, Paul. The Man Who Loved Only Numbers. Hyerpion, New York 1998.

    About Paul Erdos.

  • Nasar, Sylvia. Beautiful Mind. Simon and Schuster, New York 1998.

    About John Nash.

  • Wilf, Herbert. Generating Functionology, 3rd ed.. Academic Press 1994.

    Treats the application of power series to combinatorial problems. The second edition of the book in pdf format is available for free at: http://www.math.upenn.edu/~wilf/DownldGF.html.

  • Conway, J.H. and Guy, R.K.. Book of Numbers. Copernicus, 1996.

    Discusses the many amazing properties of the integers and integer sequences. Graphics in this book is striking.

Number Theory
  • Apostol, T.M.. Introduction to Analytic Number Theory. Springer-Verlag 1976.

    A comprehensive introduction to number theory aimed at advanced undergraduates and graduate students.

  • Oliver, David. The Shaggy Steed of Physics, 2nd ed.. Springer, 2004.

    A poetic book that uses the classical two-body problem to motivate many of the fundamental ideas in modern physics.

  • Grimmett, G.R. and Stirzaker, D.R.. Probability and Random Processes. Oxford Univeristy Press, Oxford UK 2001.

    Comprehensive introduction to probability good for upper level undergranduates and beginning graduate students.

  • Klenke, A.. Probability Theory: A Comprehensive Course. Springer-Verlag, 2008.

    This book is appropriate for a graduate student. It is very thorough and has non-trivial examples.


Trigonometry in a Quick Turn

These notes cover elementary trigonometry from the unit circle point of view.