This will be a remotely taught class for the Spring 2021 entire semester - using Zoom.

           Prof. Ram's Zoom Meeting ID - 722 280 1561.   Waiting Room will be enabled on first day

           and a Passcode will be sent to your official FIU e-mail later on.


         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.


        Contains the list of Homework Problems for the course including the assigned  HW
        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 (20 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  2021 Test #1

           Learning Assistant (or GTA) (Click on the name for a photo - when available)

            Miss Susanna Peca  <>  is the designated LA for the course.  She may be able to answer a few

            short e-mail questions that you may have during her designated hours provided she is not currently helping another student.

           It is preferable for you to show up on Zoom for her tutoring sessions.  Her available hours and location are as follows.


           Times:   Mondays & Wednesdays   at  11:00am - 1:00 pm    and   Fridays   at  11:00pm - 12:00 pm. 

           Location:  Remotely via Zoom,  Zoom Meeting ID:  878 867 9310  Waiting Room will be enabled -

           and a Passcode may be sent to your official FIU e-mail later on.


           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