Linear Algebra: Math 2270-3
Spring 2005

A copy of the pdf form of the syllabus can be found here.

Problems in bold are ones to be turned in.  Others are recommended (you are still responsible for them).  This is due on January 25

1.2: 1,3,4,6,8,12,18,20,21,24,25,26,28,32,34,35,46,53,59
Information about Chapter 2 (hw, quizzes,etc) can be found here.
The pdf of linear transformations can be found here.
The pdf of function clarifications can be found here.
The HW for Chapter 2 is due on February 3, not March 3 as stated in the information passed out in class (it is now corrected on the above pdf).
  • Class will meet in the LCB computer lab (LCB 115) on Tuesday (2/1) for our first computer lab.  Make sure you have logged in to your computer account.  The Maple worksheets are below if you want a sneak peek.
  • Attend the undergraduate math colloquium!  A schedule of talks can be found here.
  • Information about Chapter 3 (hw, exam, etc) can be found here.
  • The key for HW1 can be found here.
  • The key for Quiz 1 can be found here.
A pdf of information for the first exam can be found here.
The key for HW2 can be found here.
The homework for Chapter 4 is the following:
  • 4.1: 1,4,8,14,17,18,23,30,38,45,47
  • 4.2: 1,10,13,15,22,34,48,51,54,58,62
  • 4.3: 1,5,7,8,12,15,27,28,29,36,42,47,49,61
Problems in bold are to be handed in. I anticipate this homework to be due on February 24.
A key for the first exam can be found here.
  •  A sheet summarizing relevant definitions for Chapter 4 can be found here.
  • Stuck on some of the problems in Section 4.3?  (I was for a while.)  Problems 4.3.7,8, and 42 are worked out on this sheet.  Refer to this is you get stuck.  I do not want to see this sheet recopied when you hand in your homework.
  • The quiz scheduled for today has been moved to Tuesday.  It will cover Chapter 4.
  • The homework for Chapter 4 will be collected on Tuesday (March 1 as well).
  • A key for HW3 can be found here.
Here are two (very good) websites that may help you with Linear Algebra:
The HW for sections 5.1-5.3 are the following:
5.1: 1,3,6,9,13,16,17,23,38
5.2: 1,4,13,19,32
3,5-26 (evens), 29,33,41,53

More homework will follow for sections 5.4 and 5.5
The HW for sections 5.4 and 5.5 are the following:
5.4: 1,4,8,10,11,12,13,23,25,37
This will be due after spring break (March 22)
The key for Quiz 2 can be found here.
Information for Exam 2 can be found here.
The key for HW4 can be found here.
The exam will NOT cover section 5.5.  We are going to skip that section for now, but will return to it at the end of the semester.  Only hand in HW from Sections 5.1-5.4
The plan for the semester can be found here.
The key for Exam2 can be found here.
The homework for Chapter 6 is the following:
6.1: 3,4,8,12,15,25,27,33,34,44
6.2: 1,2,8,10,11,16,19,23,42
6.3: 1,4,7,14,22,23,24
The key for HW5 can be found here.
A document outlining the pseudo-inverse can be found here.
The homework for Chapter 7 is the following:
7.1: 1,4,15,16,36
7.2: 2,4,8,11,18,19,20
7.3: 3,8,15,20,42
7.4: 3,10,18,25,30,34
7.5: 20,24,27
7.6: 2,8,11,17,20
The pdf showing the maple code from last Tuesday's class can be found here.
The homework for Chapter 8 is the following:
8.1: 2,5,9,10,14,42
Chapter 7 homework will be due 4/21
The key for HW6 can be found here.

Extra credit is available!  Read the following paper and write a short summary, specifically:
  • Explain the main idea.
  • How does this compare to what we studied in class?
  • What did you find intriguing?  What did you find difficult?
Here is the homework for the next few classes:
5.5: 1,3,6,10,15,16
9.1: 24,26,27,31,52
The key for Quiz 3 can be found here.
The handout in class describing the last hw can be found here.
The practice final can be found here. The key can be found here.
A revision on the Game Theory part about the assignment can be found here.  You do not need to do what I had written on the passed out on Tuesday.
Strike Problems 8.1.42 and 9.1.52 from the homework (you do not need to do it).
For clarity, here are the Problems due next May 4:
5.5: 1,3,6,10,15,16
8.1: 2,5,9,10,14
Genetics application problem
The key for homework 7 can be found here.
  • There will be a review session on Thursday, April 28 from 4:35-6:15 in LCB 323
  • You will be allowed to have the equivalent of an 8.5 by 11 page notecard for the final.  This means one side of a normal paper, or 2 sides of an 8.5 by 5.5 page, etc.
  • There is an error on Problem 6 on the Practice Final Exam.  The first two matrices in the basis should be [[1 0].[-1 0]], and [[0 1],[0 -1]]

Some references on game theory:
Evolutionary Game Theory, Jorgen W. Weibull (1997), MIT Press
A bit mathematical (requires knowledge of set theory), but good.
Theoretical Evolutionary Ecology, Michael Bulmer (1997), Sinauer Associates
A more ecological spin (hawk-dove, etc) on game theory in the later chapters.
Game Theory: A Nontechnical Introduction, Morton D. Davis (1997) Dover Publications
Haven't read it, but perused it on Amazon.  Can't argue with the price, and if I am optimistic about any book that has non-technical in its title.

Computer Labs

Maple Project 1
The Maple tutorial:

The Vector worksheet:

The assignment:
Matlab Project 1
Matlab tutorial

Course Information
      John M. Zobitz

Office:            LCB 305

Contact:  - please allow a 24-hour response time
                            Office: 585-1648

Office Hour:  Tuesday 1-2 PM, Thursday 3-4:30 PM, or by appointment

Class Meets:    Tuesday and Thursday, 4:35-6:15 PM in AEB 306


Text:                Linear Algebra with Applications, 3rd Edition, by Otto Bretscher

Prerequisite:    Math 1210-1220 or Math 1250-1260, first year calculus. Previous exposure to vectors (in 2210 or 1260) or in a Physics class is useful but not essential.

Grading:          Grades will be based on homework, two exams, three quizzes, and one comprehensive final exam. The tentative dates for each of these are listed below. I expect you to attend class. Should you miss class, you are still responsible for the homework and material presented that day. A missed exam or quiz will simply be awarded zero points. Make-up exams will only be given in extenuating circumstances, and only if I am notified before the exam.

The breakdown for the coursework will be:
            Homework: 35%
            Mid-term exams: 15% x 2 = 30%
            Quizzes: 5% x 3 = 15%
            Final: 20%

Letter grades will be assigned based on the following scale:

93-100 = A       90-93 = A-
            87-90 = B+       83-87 = B         80-83 = B-
            77-80 = C+      73-77 = C         70-73 = C-
            67-70 = D+      63-67 = D        60-63 = D-      
            < 60  = E

Homework:     Homework will be assigned at each class session.  You can expect to hand in homework during one of the following two class periods after completing a chapter. You are responsible to hand in homework on the days indicated when class begins.  Late homework generally will not be accepted.  Should you plan to be absent on a day homework is due, you are responsible to make the necessary arrangements to turn in your work before your absence.  In consideration of those grading your work, please be legible and clear.  In addition to announcements in class, the course webpage will have an up-to-date listing of homework assignments.  At the end of the semester I will drop your lowest homework score.

Final:               May 4, 2005 3:30-5:30 PM                      

Useful Information

Mathematics Tutoring Center: The Mathematics Tutoring Center offers free, drop-in tutoring to students enrolled in Math 1100, among others. They will also arrange group tutoring sessions. The tutoring center will open January 18, and the hours are: 8:00 AM - 8:00 PM Monday - Thursday, 8:00 AM - 6:00 PM Friday. The tutoring center is closed on weekends, University holidays, and for finals. For more help, the University Tutoring Services office in SSB 330 offers inexpensive private tutoring, and a list of private tutors is available from the math department office.

Drop-in Computer Lab: All students enrolled in a math class have access to the undergraduate computer lab next to the Tutoring Center. The lab opens January 10, and will be open the same hours as the Tutoring Center.  Because you are enrolled in this class, you have a mathematics account assigned to you.  If you have not accessed this account in previous classes, then contact me for the appropriate instructions to do so.

Computer Labs: Throughout this semester you will be assigned projects using the computer software Maple (and perhaps Matlab).  The days those projects are assigned, we will meet in the computer lab in LCB.  These projects will be part of your homework score.  I do not assume you have used this software before and we will have the appropriate tutorial during the first visit to the lab.

Calculators: You are encouraged to use graphing and computers to assist you in your work.  However, technology should be an aid and not a crux!  This class is foundational for higher-level mathematics classes, and it is important that you master each concept as it is presented.  If you cannot sketch why you received a particular answer via a computer, then you do not understand it well enough.  Beware: the use of calculators on quizzes/exams will be discretionary.  On homework, quizzes, and exams you will be tested on whether you understand the material and the steps leading up to an answer, rather than just brute computation. Simply writing down an answer to a complicated problem will result in a loss of points, even if the answer is correct.

Cell Phones & Pagers: Noise pollution during class is a growing problem and is very disruptive and disrespectful to both me and your fellow students. Please be sure to turn your devices to silent when in the classroom.

ADA Statement: The Americans with Disabilities Act requires that reasonable accommodations be provided for students with physical, cognitive, systemic, learning, and psychiatric disabilities. Please contact me at the beginning of the semester to discuss any such accommodation you may require for this course.

Disclaimer: Policies stated within this syllabus are subject to change, following verbal announcement in class. Students are responsible for knowing the current version, always to be found on the course website.


Welcome to class!  I look forward to a productive, engaging, and fun semester.


Important Dates



January 10

Classes Begin

January 17

No classes

January 19

Last day to drop

January 24

Last day to add

January 25

Quiz I

February 1

Computer Lab I

February 8

Computer Lab I due

February 10


February 21

No school

March 1

Quiz II

March 4

Last day to withdraw

March 10


March 14-18

Spring Break

March 22

Computer Lab II

March 29

Computer Lab II due

April 7

Quiz III

April 28

Reading day-no class

May 4



This schedule is subject to change: please consult the course webpage for the most updated version.