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 ScorePercentageGradeInterpretation
900 - 100090% - 100%AYou mastered all concepts, with no significant gaps
850 - 89985% - 89.9%A-
800 - 84980% - 84.9%B+You mastered all essential concepts and many advanced concepts, but have some significant gaps.
750 - 79975% -79.9%B
700 - 74970% - 74.9%B-
650 - 69965% - 69.9%C+You mastered most essential concepts and some advanced concepts, but have many significant gaps.
600 - 64960% - 64.9%C
550 - 59955% - 59.9%C-
400 - 43940% - 54.9%DYou mastered some essential concepts.
0 - 3990% - 39.9%FYou 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:

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:

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.)

ChapterSectionSubsectionSuggested ExercisesPagesSupplemental Materials
OneI118, 20, 23, 29, 30, 32, 33, 35pages 9 - 12 
OneI218, 20, 21, 22, 23, 24, 26, 27, 30pages 19 - 22 
OneI314, 16, 17, 19, 20pages 32 - 33 
OneII11, 3, 4, 6, 7pages 40 - 41 
OneII211, 12, 14, 15, 23, 25, 30, 35, 38pages 46 - 48 
OneIII18, 9, 10, 12pages 54 - 55 
OneIII210, 16, 18, 19pages 62 - 63 
TwoI119, 20, 21, 22, 24, 29, 32, 37pages 86 - 90 
TwoI220, 21, 22, 25, 26, 27, 28, 30, 31, 39, 43pages 97 - 101 
TwoII110, 21, 23, 26, 27, 29, 29, 34, 41acpages 110 - 114 
TwoIII118, 19, 20, 21, 22, 23, 26, 27, 29, 33, 35, 36pages 118 - 120 
TwoIII218, 19, 23, 24, 25, 29, 31pages 125 - 126 
TwoIII319, 20, 21, 23, 24, 25, 27, 35, 36, 38pages 132 - 134 
ThreeI113, 15, 16, 18, 21, 22, 27, 30, 31, 35pages 172 - 175Notes on Images, Preimages, and Inverse Functions
ThreeI210, 15, 17, 20pages 181 - 182 
ThreeII118, 19, 20, 21, 23, 24, 26, 30, 31, 34, 39, 41, 42pages 188 - 191 
ThreeII221, 22, 23, 24, 26, 31, 33, 36pages 200-201 
ThreeIII112, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 28pages 210-213 
ThreeIII212, 16, 20, 21, 22, 23, 26pages 218-221 
ThreeIV18, 12, 14, 15, 16pages 224 - 226 
ThreeIV214, 17, 20, 25, 26, 31, 33, 34pages 237 - 234 
ThreeIV324, 26, 29, 31, 32, 33, 36, 37, 41, 42pages 241 - 243 
ThreeIV415, 17, 18, 20, 21, 26, 27, 30pages 249 - 251 
ThreeV18, 11, 12, 15, 18pages 255 - 256 
ThreeV212, 15pages 262 - 263 
FiveII14, 6, 7, 11, 18 pages 387 - 388 
FiveII27, 8, 9, 10, 11, 14, 15, 17, 18pages 392 - 393 
FiveII320, 21, 23, 25, 27, 28, 31, 33, 40pages 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.)

AssignmentDue DateCover SheetSupplemental Materials
H1Fri Aug 29H1 Cover Sheet 
H2Mon Sep 8H2 Cover Sheet 
H3Mon Sep 22H3 Cover Sheet 
H4Mon Sep 29H4 Cover Sheet 
H5Wed Oct 15H5 Cover SheetNotes on Images, Preimages, and Inverse Functions
H6Mon Oct 20H6 Cover Sheet 
H7Mon Oct 27H7 Cover Sheet 
H8Fri Nov 7H8 Cover Sheet 
H9Mon Nov 17H9 Cover Sheet 
H8Wed Dec 3H10 Cover Sheet 

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

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


(page maintained by Mark Barsamian, last updated December 16, 2014)