MA 341: Introduction to Mathematical Analysis
Course Information
Professor: Kiril Datchev
Email: kdatchev@purdue.edu
Lectures: Tuesdays and Thursdays, 10:30 to 11:45 or 12:00 to 1:15, in SCHM 123.
Office hours: Mondays 2:40-3:40, Thursdays 1:20-2:30, or by appointment, in MATH 602.
Grading is based on
Almost weekly homework assignments, worth 20% of the total grade,
two midterm exams, from 8 to 9 pm in ME 1130, on 2/16 and 4/6, each worth 20% of the total grade,
a final exam, as scheduled here, worth 40% of the total grade.
We will cover the following topics: real and complex numbers, infinite sequences and series, convergence, approximation, continuity, differentiation, and integration.
Course Notes
Introduction
Sequences
Homework
Homework is due on paper at the beginning of class on Tuesdays. Justify your answers.
Homework 1, due January 20th, is Exercises 2.2, 3.1, 4.2, and 4.5 from the Introduction.
Additional Reading
The best modern introductory analysis textbook is Mattuck's Introduction to Analysis. It is used here.
We will try to improve on it by following Hume's challenging principle of avoiding all unnecessary detail.
At the opposite extreme, with an abundance of beautiful detail, is Loya's Amazing and Aesthetic Aspects of Analysis.
It draws on many classics, most notably Euler's Introduction to Analysis of the Infinite.
Finally, a list of general policies and procedures can be found here.