Linear Algebra - Summer 2015

Course: MATH 2010-010 Call # 51154

Time and Place: 8:00-9:30 MTWRF in Room 304 of Gilbreath Hall

Instructor: Dr. Robert Gardner Office Hours: By appointment (I can usually be available right after class).

Office: Room 308F of Gilbreath Hall

Phone: 439-6979 (308G Gilbreath), Math Department Office 439-4349

E-Mail: gardnerr@etsu.edu
Class Webpage: faculty.etsu.edu/gardnerr/2010/silsum15.htm

Assistant: ETSU math graduate student, Mr. Oyero, will be assisting me with this class. He will be present in the CFAA Monday through Friday from 9:30 to 11:00. He will also be grading your tests under my supervision.

Text: Linear Algebra, 3rd Edition, by J. Fraleigh and R. Beauregard.

Sample Tests: Copies of old tests, along with solutions, are available online at: http://faculty.etsu.edu/gardnerr/2010/Test Solutions/test-solutions.htm The copies of old tests are in PDF form.

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:

faculty.etsu.edu/gardnerr/2010/manual1.pdf
faculty.etsu.edu/gardnerr/2010/manual2.pdf
faculty.etsu.edu/gardnerr/2010/manual3.pdf

Class Notes: We will use overheads for the bulk of the in-class lectures. Copies of the overheads are available on the web in both PostScript and PDF formats. For details see:

faculty.etsu.edu/gardnerr/2010/notes.htm.

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 definite integrals.

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: http://www.etsu.edu/academicaffairs/cfaa.

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), biology (population distributions and genetics), physics (theoretical and applied), computer science (in coding theory and cryptography) and almost any other area that uses numbers! We will illustrate some of these applications in this class. 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). A users guide to the TI-89 for linear algebra computations will be given out in class and made available on the web at:

faculty.etsu.edu/gardnerr/2010/ti89la.pdf.
However, it turns out that we really only need one command, and will mostly 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).

Grading: Your grade will be determined by averaging your scores on three tests (T1 - T3) as follows:

Average = (T1 + T2 + T3)/3.
Grades will be assigned based on a 10 point scale with "plus" and "minus" grades being assigned as appropriate on a 3 point subscale so that, for example, a B+ corresponds to a grade of 87%, 88%, and 89%. Solutions to the tests will be posted online:
  1. Test 1 Solution.
  2. Test 2 Solution.
  3. Test 3 Solution.

Important Dates (for the official unviersity calendar webpage, see http://www.etsu.edu/etsu/academicdates.aspx):
Sunday(?), June 14 = Last day to drop without grade of "W".
Friday, June 19 = Test 1 (1.1-1.6).
Sunday(?), June 28 = LAST DAY TO DROP without dean's approval. Verifiable extenuating circumstances required after this date.
Tuesday, June 30 = Test 2 (2.1-2.5, 3.1).
Friday, July 3 = Independence Day Holiday.
Wednesday, July 8 = Last day to withdraw from the university.
Friday, July 10 = Test 3 (3.2, 3.3, 4.1, 4.2, 5.1, 5.2).

We will follow this tentative outline. Changes to the original schedule are made in red.

DATE
AGENDA
HOMEWORK
MON 6/8
Introduction, 1.1 = Vectors in Euclidean Spaces
1.1 = 1-41 odd
TUE 6/9
1.1 (cont.), 1.2 = The Norm and the Dot Product
1.2 = 1-45 odd, 40
WED 6/10
1.2 (cont.)
-
THR 6/11
1.3 = Matrices and Their Algebra
1.3 = 1-45 odd
FRI 6/12
1.3 (cont.), 1.4 = Solving Systems of Linear Equations
1.4 = 1-51 odd
MON 6/15
1.4 (cont.)
-
TUE 6/16
1.5 Inverse Matrices
1.5 = 1-37 odd
WED 6/17
1.6 = Homogeneous Systems, Subspaces, and Bases
1.6 = 1-47 odd
THR 6/18
Review
-
FRI 6/19
Test 1 (1.1-1.6)
-
MON 6/22
2.1 = Independence and Dimension
2.1 = 1-37 odd, 28
TUE 6/23
2.2 = The Rank of a Matrix
2.2 = 1-23 odd
WED 6/24
2.3 = Linear Transformations of Euclidean Spaces
2.3 = 1-33 odd
THR 6/25
2.4 = Linear Transformations of the Plane (in brief)
2.5 = Lines, Planes, and Other Flats
2.4 = 1-15 odd
2.5 = 1-13, 21-43 odd
FRI 6/26
3.1 = Vector Spaces
3.1 = 1-29 odd, 18
MON 6/29
Review
-
TUE 6/30
Test 2 (2.1-2.5, 3.1)
-
WED 7/1
3.2 = Basic Concepts of Vector Spaces
3.2 = 1-47 odd, 26
THR 7/2
3.3 = Coordinatization of Vectors
3.3 = 1-21 odd, 22
FRI 7/3
Independence Day Holiday
-
MON 7/6
4.1 = Areas, Volumes, and Cross Products
4.2 = The Determinant of a Square Matrix
4.1 = 1-59 odd
4.2 = 1-35 odd
TUE 7/7
4.2 (cont.), 5.1 = Eigenvalues and Eigenvectors
5.1 = 1-41 odd
WED 7/8
5.1 (cont.), 5.2 = Diagonalization
5.2 = 1-25 odd
THR 7/9
Review
-
FRI 7/10
Test 3 (3.2, 3.3, 4.1, 4.2, 5.1, 5.2)
-
The departmental syllabus for this class also includes sections 3.5 (Inner-Product Spaces), 4.3 (Cramer's Rule), 6.1 (Projections), 6.2 (Gram-Schmidt Process), and 6.3 (Orthogonal Matrices). If time permits, we will also cover these sections.

Return to Bob Gardner's home page

Last Updated: June 15, 2015