Campus: | Ohio University, Athens Campus |
---|---|

Department: | Mathematics |

Academic Year: | 2013 - 2014 |

Term: | Spring Semester |

Course: | Math 3210 |

Title: | Linear Algebra |

Section: | 100 (Class Number 5362) |

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 10:45am - 11:40am in Morton 326

**Course Description: **A course in linear algebra for students majoring or minoring in the mathematical sciences. The course will introduce both the practical and theoretical aspects of linear algebra and students will be expected to complete both computational and proof-oriented exercises. Topic covered will include: Solutions to linear systems, matrices and matrix algebra, determinants, n-dimensional real vector spaces and subspaces, bases and dimension, linear mappings, matrices of linear mappings, eigenvalues and eigenvectors, diagonalization, inner product spaces, orthogonality and applications.

**Prerequisites: **MATH 2302 and (3050 or CS 3000) and WARNING: No credit for both this course and the following (always deduct credit for first course taken): MATH 3200

**Paper Syllabus (version 2): **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. (version 2 has the correct due dates for the homework sets.) **(Note: This syllabus is no longer current: see the revised schedule and revised homework list at the bottom of this web page.)**

Textbook Information | ||
---|---|---|

Title: | Linear Algebra, 4^{th} Edition |
click to enlarge |

Authors: | Friedberg, Insel, Spence | |

Publisher: | Pearson/Prentice Hall, 2003 | |

ISBN-10: | 0130084514 | |

ISBN-13: | 9780130084514 |

**Calculators ** will not be allowed on exams.

**Special Needs: **If you have physical, psychiatric, or learning disabilities that require accommodations, please let me know as soon as possible so that your needs may be appropriately met.

**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. (If 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, 55% - 69.9%.)
- 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:**To succeed in the course, you will need to read the book.**Homework Sets:**Ten homework sets will be collected, graded, and returned to you.**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 47 lectures, totaling 2585 minutes. It is not possible to cover the entire content of the course in 2585 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:**There will be four in-class exams and a final. All exams will be consist of problems based on the assigned and suggested homework exercises.

**Attendance Policy: **Attendance is required for all lectures and exams.

**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 a Quiz or Exam Because of Illness: **If you are too sick to take a quiz or exam, then you must

- send me an e-mail before the quiz/exam, telling me that you are going to miss it because of illness,
- then go to the Hudson Student Health Center.
- 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.

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

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

**Schedule (Note that the Schedule has been revised.)**

Week | Dates | Class topics |
---|---|---|

1 | Mon Jan 13 | 1.1 Introduction |

Wed Jan 15 | 1.2 Vector Spaces | |

Fri Jan 17 | 1.3 Subspaces | |

2 | Mon Jan 20 | Holiday: No Class |

Wed Jan 22 | 1.3 Subspaces (H1 Due) | |

Fri Jan 24 | 1.4 Linear Combinations and Systems of Linear Equations | |

3 | Mon Jan 27 | 1.5 Linear Dependence and Linear Independence |

Wed Jan 29 | 1.6 Bases and Dimension (H2 Due) | |

Fri Jan 31 | 1.6 Bases and Dimension | |

4 | Mon Feb 3 | Classes cancelled due to severe weather |

Wed Feb 5 | In-Class Exam 1 Covering Chapter 1 | |

Fri Feb 7 | 2.1 Linear Transformations, Null Spaces, and Ranges | |

5 | Mon Feb 10 | 2.1 Linear Transformations, Null Spaces, and Ranges |

Wed Feb 12 | 2.2 The Matrix Representation of a Linear Transformation | |

Fri Feb 14 | 2.3 Composition of Linear Transformations; Matrix Multiplication (H3 Due) | |

6 | Mon Feb 17 | 2.3 Composition of Linear Transformations; Matrix Multiplication |

Wed Feb 19 | 2.4 Invertibility and Isomorphisms | |

Fri Feb 21 | 2.4 Invertibility and Isomorphisms (H4 Due) | |

7 | Mon Feb 24 | 2.5 The Change of Coordinate Matrix |

Wed Feb 26 | In-Class Exam 2 Covering Chapter 2 | |

Fri Feb 28 | 3.1 Elementary Matrix Operations and Elementary Matrices | |

8 | Mon Mar 3 | Spring Break: No Class |

Wed Mar 5 | Spring Break: No Class | |

Fri Mar 7 | Spring Break: No Class | |

9 | Mon Mar 10 | 3.2 The Rank of a Matrix and Matrix Inverses (H5 Due) |

Wed Mar 12 | 3.2 The Rank of a Matrix and Matrix Inverses | |

Fri Mar 14 | 3.3 Systems of Linear Equations—Theoretical Aspects | |

10 | Mon Mar 17 | 3.3 Systems of Linear Equations—Theoretical Aspects |

Wed Mar 19 | 3.3 Systems of Linear Equations—Theoretical Aspects | |

Fri Mar 21 | 3.4 Systems of Linear Equations—Computational Aspects (H6 Due) | |

11 | Mon Mar 24 | 3.4 Systems of Linear Equations—Computational Aspects |

Wed Mar 26 | 3.4 Systems of Linear Equations—Computational Aspects | |

Fri Mar 28 | In-Class Exam 3 Covering Chapter 3 (Exam 3 Solutions) | |

12 | Mon Mar 31 | 4.4 Important Facts about Determinants |

Wed Apr 2 | 5.1 Eigenvalues and Eigenvectors | |

Fri Apr 4 | 5.1 Eigenvalues and Eigenvectors (H7 Due) (H7 Solutions) | |

13 | Mon Apr 7 | 5.1 Eigenvalues and Eigenvectors |

Wed Apr 9 | 5.2 Diagonalizability (H8 Due) (H8 Solutions) | |

Fri Apr 11 | 5.2 Diagonalizability | |

14 | Mon Apr 14 | 5.2 Diagonalizability (H9 Due) (H9 Solutions) |

Wed Apr 16 | 5.2 Diagonalizability | |

Fri Apr 18 | In-Class Exam 4 covering Chapters 4 and 5 (Exam 4 Solutions) | |

15 | Mon Apr 21 | 6.1 Inner Products and Norms |

Wed Apr 23 | 6.1 Inner Products and Norms (H10 Due) (H10 Solutions) | |

Fri Apr 25 | 6.1 Inner Products and Norms | |

16 | Mon Apr 28 | Comprehensive Final Exam 10:10am - 12:10pm in Morton 326 (Final Exam Information) |

**Suggested Exercises: **The goal of the course is for you to be able to solve the 289 problems on this list.

Textbook Section |
Suggested Exercises |
---|---|

1.1 | 1,2,3,4 |

1.2 | 1,3,4,9,12,45,15,20,21,22 |

1.3 | 1,2,3,6,10,11,12,13,15,18,22,24,25,28 |

1.4 | 1,2abc,3abc,5defg,6,7,8,9,10,11,13,16 |

1.5 | 1,2abcdef,4,5,6,9,10,12,14,17,18 |

1.6 | 1,2,3,13,15,16,17,18,19,20,21,23,25,26,29,30 |

1,3,9,10,11,15,16,17,18,21,22,23,24,26,35,36,38 | |

2.2 | 1,2,4,8,9,10 |

2.3 | 1,2,3,5,7,9,11,12,13,15,,16,18 |

2.4 | 1,2,3,4,5,6,9,10,15,16,17,18,20,22,23 |

2.5 | 1,2,4,5,10,11,13 |

3.1 | 1,2,3,4,5,8,9 |

3.2 | 1,2,4,5,6,7,8,9,11,15,16,19,20 |

3.3 | 1,2,3,4,5,6,7,8,11 |

3.4 | 1,2abcdef,3,4,5,6,7,9,12 |

4.4 | 1,2,3,4,5,6 |

5.1 | 1,2abcd,3abc,4abcdefh,5,9,11,12,14,15,16,20,22 |

5.2 | 1,2,3,4,7,8,11,12,14,17,18,19 |

6.1 | 1,2,3,4,6,7,8,9,10,11,12,17,24,26 |

**Homework Sets to Turn In: **Homework is due at the start of class on the due date. Late homework is not accepted. **(Note that the Due Dates have been revised.)**

Set | Due | Exercises | ||
---|---|---|---|---|

H1 | Wed Jan 22 | 1.1 # 2b, 3b | 1.2 # 4bdh,9, 12, 15,20 | 1.3 # 2d |

H2 | Wed Jan 29 | 1.3 # 6, 10, 12, 13, 25, 28 | 1.4 # 2b, 3b, 8, 10 | 1.5 # 10 |

H3 | Fri Feb 14 | 2.1 # 3, 11, 15, 17, 21, 22, 24 | 2.2 # 2be, 4, 9 | |

H4 | Fri Feb 21 | 2.3 # 5, 9, 11, 12, 13 | 2.4 # 4, 9, 10, 16 | |

H5 | Mon Mar 10 | 3.1 # 8, 9 | 3.2 # 2bdf | |

H6 | Fri Mar 21 | 3.2 # 5bdf, 8, 15, 16 | 3.3 # 2bf, 3bdf, 4a, 5, 6, 8 | |

H7 | Fri Apr 4 | (Link to Homework 7) | (H7 Solutions) | |

H8 | Wed Apr 9 | (Link to Homework 8) | (H8 Solutions) | |

H9 | Mon Apr 14 | (Link to Homework 9) | (H9 Solutions) | |

H10 | Wed Apr 23 | (Link to Homework 10) | (H10 Solutions) |

(page maintained by Mark Barsamian, last updated April 11, 2014)