MAA 3200 - INTRO TO ADVANCED MATH
Syllabus
Contains the name of the textbook, prerequisites
for the course, relevant sections of the textbook,
exam policy, schedule of exams, grading scheme, and other pertinent information.
Homework
Contains the list of Homework Problems for the
course including the assigned HW
problems.
Textbooks: 1A.
How to Prove it - by Daniel Velleman, Third Edition (2019): Ch. 1-7,
or 1B. How to Prove it - by Daniel Velleman, Second Edition (2006): Ch. 1-7;
& 2. Introduction to Analysis - by E. Gaughan, 5th Edition (1998): Ch. 0-2
Solutions to Homework Problems:
Contains the solutions, answers, or hints to most of the assigned problems in the textbooks.
From: How to Prove it - by Daniel Velleman, Third Edition (2019):
Chapters
1&2
Chapter 3 (skip)
Chapters
4&5
Chapter 6
Chapter 8
From: Introduction to Analysis - by E. Gaughan, 5th Edition (1998):
Chapters
0, 1, &2
Review Sheets:
Review
for Test#1
Review
for Test #2
The Review for the Final Exam just consists of the Reviews
for Test#1 & Test#2
Modified Class notes
Ch.0 - Table of Contents and Preliminaries
Ch.1 - The Logic used in Mathematics (26 pages)
Ch.2 - Elementary Set Theory (22 pages)
Ch.3 - Cartesian Products & Relations (19 pages)
Ch.4 - Functions and their Applications (22 pages)
Ch.5 - Mathematical Induction & Inductive Definitions (13 pages)
Ch.6 - The cardinality of Sets (13 pages)
Ch.7 - Convergence of Sequences & Construction of the Reals (13 pages)
Ch.8 - Limits of Real functions & Non-standard Analysis (9 pages)
Ch.9 - Basic Algebraic Structures (not included)
Past Exams:
Fall_2004 Test
#1
Fall_2004_Test
#2
Fall_2007 Test
#1
Fall_2007_Test
#2
Fall 2008 Test #1
Fall 2008 Test #2
Fall 2012 Test #1
Fall 2012 Test #2
Fall 2014 Test #1 Fall 2014 Test #2
Fall 2015 Test #1 Fall 2015 Test #2
Tutoring services: