Campus: Ohio University, Athens Campus
Department: Mathematics
Academic Year: 2014 - 2015
Term: Fall Semester
Course: MATH 3200 and MATH 5200
Title: Applied Linear Algebra
Section: 100 (Class Number 1515 and 1544)
Instructor: Mark Barsamian
Contact Information: My contact information is posted on my web page .
Office Hours: My office hours are posted on my web page .

Class Meets: Monday, Wednesday, Friday 8:35am - 9:30am in Morton 126

Course Description: A course on linear algebra with an emphasis on applications and computations. Solutions to linear systems, matrices and matrix algebra, determinants, n-dimensional real vector spaces and subspaces, bases and dimension, eigenvalues and eigenvectors, diagonalization, norms, inner product spaces, orthogonality and least squares problems.

Prerequisites: (MATH 163A or 263A or 1350 or 2301) and WARNING: No credit for both this course and the following (always deduct credit for first course taken): MATH 3210

Paper Syllabus The syllabus handed out on the first day of class can be obtained at the following link: ( syllabus ) The information on the paper syllabus is the same as the information on this web page.

Textbook Information
Title:
Linear Algebra, 2014 Edition
click on the book to see a larger image
click to enlarge
Author:
Jim Hefferon
Publisher:
Orthogonal Publishing
ISBN-10:
0989897524
ISBN-13:
978-0989897525
Price:
roughly $20 for the paperback version at www.Amazon.com
Links:
Author's web page for the book: ( Link )
Free online PDF of the book: ( Link ) (You still have to buy a paperback copy for our class!)
Free online PDF of the solutions manual: ( Link )

Online Math Software and Resources: ( Link )

Grading: During the semester, you will accumulate points:

Homework Sets (10 Sets, 10 points each): 100 points possible
In-Class Exams (best 3 of 4 exams, 200 points each): 600 points possible
Comprehensive Final Exam: 300 points possible
Total: 1000 points possible

At the end of the semester, your Total will be converted to your Course Grade:

Total Score
Percentage
Grade
Interpretation
900 - 1000
90% - 100%
A
You mastered all concepts, with no significant gaps
850 - 899
85% - 89.9%
A-
800 - 849
80% - 84.9%
B+
You mastered all essential concepts and many advanced concepts, but have some significant gaps.
750 - 799
75% -79.9%
B
700 - 749
70% - 74.9%
B-
650 - 699
65% - 69.9%
C+
You mastered most essential concepts and some advanced concepts, but have many significant gaps.
600 - 649
60% - 64.9%
C
550 - 599
55% - 59.9%
C-
400 - 439
40% - 54.9%
D
You mastered some essential concepts.
0 - 399
0% - 39.9%
F
You did not master essential concepts.

Note that although this grading scale may look easy compared to the usual 90,80,70,60 scale, it is actually not easier. The reasons are:

  • The letter grades in this course mean the same thing as the letter grades in other courses.
  • When I grade homework and exams, I give out fewer points. (In this course, you do grade C work on a 20 point exam problem, you will get between 11, 12, or 13 points for the problem. That is in the range 55% - 69.9%. But in somebody else's course that uses the 90,80,70,60 scale, you would have gotten 14 or 15 points for the problem. That is in the range 70% - 79.9%.)
  • There is no curve.

Course Structure: One learns math primarily by trying to solve problems. This course is designed to provide structure for you as you learn to solve problems, and to test how well you have learned to solve them. This structure is provided in the following ways:

  • Textbook Readings: To succeed in the course, you will need to read the book.
  • Suggested Exercises: Farther down this web page, you will find a table of suggested exercises, taken from the textbook. The table is only partially filled-in right now, but it will get filled up as the course proceeds. The goal of the course is for you to be able to solve the exercises on this list. These exercises are not to be turned in and are not graded, but you should do as many of them as possible and keep your solutions in a notebook for study. Note that the solutions to all of the textbook exercises are available free online.
  • Homework Sets: Ten homework sets will be collected, graded, and returned to you. The homework sets will be described on cover sheets that will be handed out in class and also posted farther down this web page.
  • Lectures: In lecture, I will sometimes highlight textbook material that is particularly important, sometimes present material in a manner different from the presentation in the book, and sometimes solve sample problems. We have 37 lectures, totaling 2035 minutes. It is not possible to cover the entire content of the course in 2035 minutes, and the lectures are not meant to do that. Lectures are meant to be a supplement to your reading the textbook and solving problems.
  • Exams: The exams will be made up of problems based on suggested and assigned homework exercises.

Attendance Policy: Attendance is required for all lectures and exams, and will be recorded by a sign-in system.

Missing Class: If you miss a class for any reason, it is your responsibility to copy someone�s notes and study them. I will not use office hours to teach topics discussed in class to students who were absent.

Missing an Exam Because of Illness: If you are too sick to take an exam, then you must

  1. send me an e-mail before the exam, telling me that you are going to miss it because of illness,
  2. then go to the Hudson Student Health Center.
  3. Later, you will need to bring me documentation from Hudson showing that you were treated there.
Without those three things, you will not be given a make-up exam.

Missing Exams Because of a University Activity: If you have a University Activity that conflicts with one of our exams, you must contact me before the exam to discuss arrangements for a make-up. I will need to see documentation of your activity. If you miss an exam because of a University Activity without notifying me in advance, you will not be given a make-up exam.

Late Homework Policy: Homework is due at the start of class on the due date. Late homework is not accepted.

Suggested Exercises: The goal of the course is for you to be able to solve all of the problems in this table. These exercises are not to be turned in and are not graded, but you should do as many of them as possible and keep your solutions in a notebook for study. Note that the solutions to all of the textbook exercises are available free online. (The table is only partially filled-in right now, but it will get filled up as the course proceeds.)

Chapter Section Subsection Suggested Exercises Pages Supplemental Materials
One
I 1 18, 20, 23, 29, 30, 32, 33, 35 pages 9 - 12
One
I 2 18, 20, 21, 22, 23, 24, 26, 27, 30 pages 19 - 22
One
I 3 14, 16, 17, 19, 20 pages 32 - 33
One
II 1 1, 3, 4, 6, 7 pages 40 - 41
One
II 2 11, 12, 14, 15, 23, 25, 30, 35, 38 pages 46 - 48
One
III 1 8, 9, 10, 12 pages 54 - 55
One
III 2 10, 16, 18, 19 pages 62 - 63
Two
I 1 19, 20, 21, 22, 24, 29, 32, 37 pages 86 - 90
Two
I 2 20, 21, 22, 25, 26, 27, 28, 30, 31, 39, 43 pages 97 - 101
Two
II 1 10, 21, 23, 26, 27, 29, 29, 34, 41ac pages 110 - 114
Two
III 1 18, 19, 20, 21, 22, 23, 26, 27, 29, 33, 35, 36 pages 118 - 120
Two
III 2 18, 19, 23, 24, 25, 29, 31 pages 125 - 126
Two
III 3 19, 20, 21, 23, 24, 25, 27, 35, 36, 38 pages 132 - 134
Three
I 1 13, 15, 16, 18, 21, 22, 27, 30, 31, 35 pages 172 - 175 Notes on Images, Preimages, and Inverse Functions
Three
I 2 10, 15, 17, 20 pages 181 - 182
Three
II 1 18, 19, 20, 21, 23, 24, 26, 30, 31, 34, 39, 41, 42 pages 188 - 191
Three
II 2 21, 22, 23, 24, 26, 31, 33, 36 pages 200-201
Three
III 1 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 28 pages 210-213
Three
III 2 12, 16, 20, 21, 22, 23, 26 pages 218-221
Three
IV 1 8, 12, 14, 15, 16 pages 224 - 226
Three
IV 2 14, 17, 20, 25, 26, 31, 33, 34 pages 237 - 234
Three
IV 3 24, 26, 29, 31, 32, 33, 36, 37, 41, 42 pages 241 - 243
Three
IV 4 15, 17, 18, 20, 21, 26, 27, 30 pages 249 - 251
Three
V 1 8, 11, 12, 15, 18 pages 255 - 256
Three
V 2 12, 15 pages 262 - 263
Five
II 1 4, 6, 7, 11, 18 pages 387 - 388
Five
II 2 7, 8, 9, 10, 11, 14, 15, 17, 18 pages 392 - 393
Five
II 3 20, 21, 23, 25, 27, 28, 31, 33, 40 pages 400 - 402

Homework Assignments to Turn In: These homework sets will be collected, graded, and returned to you. Staple the cover sheet to the front of your work. (The table is only partially filled-in right now, but it will get filled up as the course proceeds.)

Assignment Due Date Cover Sheet Supplemental Materials
H1
Fri Aug 29 H1 Cover Sheet
H2
Mon Sep 8 H2 Cover Sheet
H3
Mon Sep 22 H3 Cover Sheet
H4
Mon Sep 29 H4 Cover Sheet
H5
Wed Oct 15 H5 Cover Sheet Notes on Images, Preimages, and Inverse Functions
H6
Mon Oct 20 H6 Cover Sheet
H7
Mon Oct 27 H7 Cover Sheet
H8
Fri Nov 7 H8 Cover Sheet
H9
Mon Nov 17 H9 Cover Sheet
H8
Wed Dec 3 H10 Cover Sheet

Calendar (The Calendar is only partially filled-in right now, but it will get filled up as the course proceeds.)

Week
Dates
Class topics
1
Mon Aug 25
One.I.1 Solving Linear Systems: Gauss's Method
Wed Aug 27
One.I.2 Solving Linear Systems: Describing the Solution Set
Fri Aug 29
One.I.3 Solving Linear Systems: General = Particular + Homogeneous ( H1 Due )
2
Mon Sep 1
Holiday: No Class
Wed Sep 3
One.I.3 Solving Linear Systems: General = Particular + Homogeneous
Fri Sep 5
One.I.3 Singular & Non-Singular Matrices; The Set Generated by a Set of Vectors
3
Mon Sep 8
One.III.1 Reduced Echelon Form: Gauss-Jordan Reduction ( H2 Due )
Wed Sep 10
One.III.2 Reduced Echelon Form: The Linear Combination Lemma
Fri Sep 12
In-Class Exam 1 Covering Chapter 1
4
Mon Sep 15
Two.I.1: Definition of Vector Space
Wed Sep 17
Two.I.2: Subspaces
Fri Sep 19
Two.I.2: Spanning Sets
5
Mon Sep 22
Two.II.1: Linear Independence ( H3 Due )
Wed Sep 24
Two.II.1: Linear Independence
Fri Sep 26
Two.III.1: Basis
6
Mon Sep 29
Two.III.2: Dimension ( H4 Due )
Wed Oct 1
Two.III.3: Vector Spaces and Linear Systems
Fri Oct 3
Holiday: No Class
7
Mon Oct 6
In-Class Exam 2 Covering Chapter 2
Wed Oct 8
Three.I.1: Isomorphisms: Definitions and Examples
Fri Oct 10
Three.I.1: Isomorphisms: Definitions and Examples
8
Mon Oct 13
Three.I.2: Isomorphisms: Dimension Characterizes Isomorphism
Wed Oct 15
Three.II.1.Homomorphisms: Definition ( H5 Due )
Fri Oct 17
Three.II.1.Homomorphisms: Definition
9
Mon Oct 20
Three.II.1.Homomorphisms: Definition ( H6 Due )
Wed Oct 22
Three.II.2.Homomorphisms: Range Space
Fri Oct 24
Three.II.2.Homomorphisms: Null Space
10
Mon Oct 27
Three.III.1: Computing Linear Maps: Representing Linear Maps with Matrices ( H7 Due )
Wed Oct 29
Three.III.1: Computing Linear Maps: Representing Linear Maps with Matrices
Fri Oct 31
In-Class Exam 3 Covering Chapter 3 Sections I, II
11
Mon Nov 3
Three.III.2: Computing Linear Maps: Any Matrix Represents a Linear Map
Wed Nov 5
Three.III.2: Computing Linear Maps: Any Matrix Represents a Linear Map
Fri Nov 7
Three.IV.1: Matrix Operations: Sums and Scalar Products ( H8 Due )
12
Mon Nov 10
Three.IV.2: Matrix Operations: Matrix Multiplication
Wed Nov 12
Three.IV.3: Matrix Operations: The Mechanics of Matrix Multiplication
Fri Nov 14
Three.IV.4: Matrix Operations: Inverses
13
Mon Nov 17
Three.V.1: Change of Basis: Changing Representations of Vectors ( H9 Due )
Wed Nov 19
Three.V.2: Change of Basis: Changing Map Representations
Fri Nov 21
In-Class Exam 4 Covering Chapter 3 Sections III, IV, V
14
Mon Nov 24
Five.II.1,2: Similarity, Diagonalizability
Wed Nov 26
Holiday: No Class
Fri Nov 28
Holiday: No Class
15
Mon Dec 1
Five.II.3 Eigenvalues and Eigenvectors
Wed Dec 3
Five.II.3 Eigenvalues and Eigenvectors ( H10 Due )
Fri Dec 5
Five.II.3 Eigenvalues and Eigenvectors
14
Wed Dec 10
Comprehensive Final Exam 8:00am - 10:00am in Morton 126


(page maintained by Mark Barsamian , last updated December 16, 2014)
View Site in Mobile | Classic
Share by: