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 (Ch.7 in 2nd ed.)

         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
           Fall  2019  Test #1                                 Fall  2019  Test #2

           Spring 2021 Test #1                               Spring 2021 Test #2

           Fall  2022 Test #1                                  Fall 2022 Test #2

           Spring 2023 Test #1                               Spring 2023 Test #2

           Fall 2023  Test #1                                  Fall  2023 Test #2          
         Spring 2024 Test #1                                 Spring 2024 Test #2

 

           Tutoring services:  You can also get help in Mathematics from the FIU Centre for Academic Success, GL 120.

           You can make appointments by calling 305- 348-2441 (MMC).    For more information check out the link below

           https://learningcenter.fiu.edu/how-does-tutoring-work/