Course: MATH 2010-001 Call # 12664
Time and Place: TR 2:15-3:35, Gilbreath 304
Instructor: Dr. Robert Gardner Office Hours: TR 3:45- 4:15 and by appointment.
Office: Room 308F of Gilbreath Hall
Phone: 439-6979 (308G Gilbreath), Math Department Office 439-4349
E-Mail: gardnerr@etsu.edu
Assistant: The graduate assistant for this class is Gaffar Solihu. Mr. Solihu will grade the tests and be available in Gilbreath 308T on Thursdays from 1:15 to 2:15 for his office hours (his office phone number is 423-439-6982 and his e-mail is solihu@etsu.edu). He will also be available for one-on-one help in the Center for Academic Achievement (CFAA) on Fridays from 11:00 am to 1:00 pm and Saturday 11:00 am to 5:00 pm. Other qualified graduate students will also be available in the CFAA. I will be having surgery on March 10 and will miss the March 10 and 12 lectures. Mr. Solihu will cover the lectures in my absence.
Text: Linear Algebra, 3rd Edition, by J. Fraleigh and R. Beauregard.
Prerequisite: A knowledge of differential calculus (such as provided by Calculus 1 or Technical Calculus 1). You will also need to know how to evaluate elementary integrals.
Supplemental "Text": Instructor's Solution Manual, J. Fraleigh and R. Beauregard. You can download PDF versions of some of the sections of the solutions manual at:
Class Notes: We will use online notes for the bulk of the in-class lectures. Copies of the notes are available in PDF format. For details see:
Sample Tests: Copies of old tests, along with solutions, are available online at: Linear Algebra Old Test Solutions The copies of old tests are in PDF form.
Center for Academic Achievement: Located on the first floor of the Sherrod Library, the Center for Academic Achievement (CFAA) is the place to go for help with writing and speaking, library research, core math and science courses, and other subjects. The center offers tutoring on a walk-in and appointment basis and is open during library hours, including nights and weekends. For more information, call 439-7115 or go to: Center for Academic Achievement.
Attendance Policy: The Department of Mathematics strongly advises students to attend all mathematics classes when physically able. Because there is a positive correlation between attendance and student success in mathematics, the following attendance guidelines will be used in all mathematics courses. Regardless of the reasons for the absences, should a student exceed the following limit, the instructor has the authority to assign a grade of FN or F: For classes scheduled for TR or MW classes or any other 2 day/night classes, 5 absences. Hence, if you miss 5 or more classes, then I have the option (which I may exercise) of assigning you a grade of FN or F, regardless of your performance on the tests.
Note. Linear Algebra (or "Matrix Theory") is one of the most useful areas of mathematics. It is applicable in mathematics itself in areas ranging from Calculus and Discrete Math to Functional Analysis. It is applicable in statistics (least-squares methods and transition matrices; see Sections 1.7 and 6.5), biology (population distributions and genetics; see section 1.7), physics (theoretical and applied; see Section 1.2), computer science (in coding theory and cryptography; see Section 1.8) and almost any other area that uses numbers! We will illustrate some of these applications in this class. It also provides us with many of the concrete examples in some of our other algebra classes (such as Introduction to Modern Algebra 1 and 2, MATH 4127/5127 and 4137/5137). We will depend somewhat on technology for rote computational work (though we will make sure to do several examples of each type of computation by hand, before relying on the technology). It turns out that we only need one numerical procedure ("RREF") and will rely on Wolfram Alpha (http://www.wolframalpha.com) for computational work. This will allow us to concentrate more on the concepts (i.e. the definitions, theorems, and ideas underlying the material).
ETSU Abstract Algebra Club: If you are a math major, math minor, or just a math fan, then you might consider joining the ETSU Abstract Algebra Club. Abstract algebra is covered in ETSU's Introduction to Modern Algebra (MATH 4127) which is a requirement of all non-statistics-concentration math majors. The ETSU Abstract Algebra club is the world's only abstract algebra (or "modern algebra") club in the world! For details on activities of the club, click on the club logo:
Grading: Your grade will be determined by averaging your scores on three tests (T1 - T3) and a final (F) as follows:
Homework: Problems for each section covered will be assigned from the textbook. Working these problems is where you will really develop an understanding of the ideas in this class (as is the case in any math class!). These exercises are not directly part of your grade, but they definitely will indirectly determine your grade since the test questions will be based on these exercises. Every class day we will spend time covering some of the assigned homework problems as requested by the class.
Tests and Academic Misconduct: Neither calculators nor access to the internet will be allowed during the taking of tests. As a conseqeunce, you will not be allowed to access your phone or smart watch during the tests. You will not be allowed to stop during a test to go to the bathroom, unless you have presented a medical need beforehand. In the event of suspicious behavior during a test, I will not hesitate to charge you with academic misconduct. When such a charge is lodged, the dean of the College of Arts and Sciences is contacted. Repeated or flagrant academic misconduct violations can lead to suspension and/or expulsion from the university.
IMPORTANT DATES: (see http://www.etsu.edu/etsu/academicdates.aspx for the official ETSU calendar; accessed 9/14/2019):
We will follow this tentative outline. Changes to the original schedule are made in red.
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| | 2.2 = The Rank of a Matrix | 2.2 = 1-23 odd |
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| | 4.2 = The Determinant of a Square Matrix | 4.2 = 1-35 odd |
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Effective March 23, all ETSU classes will be taught online-only due to the Covid-19 coronavirus situation. All tests will be given through D2L. Notes will remain online as usual, but videos will be posted of me presenting the notes. Class will continued to "meet" through Zoom at the usual time and we will make the best of it. You should make sure that you have signed into Zoom (using the same username and password you use for your e-mail); you will receive e-mail invitations to the "meetings" that will replace regular class meetings. You can access Zoom through D2L; we are likely to rely on D2L much more than originally planned. Details will follow as things evolve.
A detailed Study Guide for online Test 2 is available here. Sample tests illustrating the format are posted on D2L under "Evaluation" and "Assessment" (you should practice the various options for submitting your solutions to see which works best for you).
A detailed Study Guide for online Test 3 is available here.
A detailed Study Guide for the online Final is available here.
Our schedule for the online part of the course, with links to "in-class" videos, is as follows:
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| | 4.2 = The Determinant of a Square Matrix | 4.2 = 1-35 odd | |
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Video presentations of the notes are available for each section as follows:
| | 2.1.23 | PDF solution | Video Solution of Exercise 2.1.23 (5:40) |
| | | | Video Solution of Exercise 2.2.5, Part 2 (9:33) |
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| | 3.2.23 | PDF solution | - |
| | 3.3.9 | PDF solution | Video Solution of Exercise 3.3.9 (10:59) |
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Last Updated: May 29, 2020