Math 2700
Linear Algebra

Fall 2016  UNT

Professor:  Dr. Anne Shepler
Office:  GAB 471B,   phone:  940-565-4943
Office hours: Tues 8:10--10:50 and 2--2:40;  Thurs 2--2:40; by appt
Web: http://www.math.unt.edu/~ashepler/Math2700F16.html
Prerequisites: Math 1720 or math department placement
Text:  Linear Algebra and Its Applications, Edition 5, by David Lay
Calculator:
TI-83


Grading: 
Course grade is based on

Course Description:  We will cover linear equations in linear algebra, matrix algebra, determinants, vector spaces, span, independence, rank, dimension, eigenvalues and eigenvectors, and orthogonality.

Homework:   Come to lecture each Thursday with your homework stapled and ready to turn in at the beginning of class.  No late homework will be accepted.  Your lowest 2 homework scores will be dropped automatically.  This will include work missed due to illness, family emergency, transportation problems, oversleeping, work schedule, completing the wrong section, completing the wrong problems, tornados, etc. Homework that is difficult to read will earn a zero score.

Exams:  No hats.  You must take the final exam to pass the course.   You  MUST  take the final exam at its scheduled time and place. You must take the midterms on the scheduled dates at the scheduled times.  There will be NO make-up exams.  Plan your schedule accordingly. In the event of a documentable emergency or illness, contact the professor immediately (BEFORE the scheduled exam when possible).  If everyone does well, everyone will receive a good grade, so study together and avoid competition.  Count your points on exams and homework to be sure the totals are correct and keep a record of all your scores.

Attendence: Attendance is mandatory. A student who misses more than 4 classes will be dropped with a W or a WF.

Calculator:  If an exam allows calculator use, TI 83, TI 83 Plus, TI 84, TI 84 Plus may be used.  TI 89’s, TI 92’2, Nspires, or any other utility with alphanumeric capabilities ARE NOT permitted.  Calculators may not be shared during exams.

Written work: Show all your work (in clear steps) on exams and homework.  No (or little) work shown usually earns no credit---even if the answer is correct.   Solutions must be clear, concise, complete, and correct.   Your audience should be an average student in this course, someone who has read the problem but does not know a solution.  Your solution must contain more detail than the solution guide in the back of the book.  In general, solutions without enough detail or with confused steps will earn little or no credit. 

Expectations:  You are expected to come to every lecture and come on time.  Plan ahead so you are not late.  You are responsible for everything that happens in class.   You are expected to read the assigned sections and work on the homework problems immediately after they are assigned. You should be prepared to ask questions, take notes, and look alive in class.  Leave all electronic gadgets turned off and out of reach.  Feel free to bring beverages to class (coffee, cola, tea, water, etc.) or quiet snacks to help you participate. It is the student's responsibility to obtain notes from another student if class is missed.

Disabilities:  It is the responsibility of students with certified disabilities to provide the instructor with appropriate documentation from the Dean of Students Office before Sept. 15th.  

Extra Credit:  Do not expect to be able to do some extra work to help your grade either before or after the final exam. There will be no extra credit during the semester, except possibly an extra problem on an exam. You must complete the assigned work on time.

Cheating:  Academic honesty is a minimal expectation for this and all UNT classes.  Anyone caught cheating will receive an F for the course.  Furthermore, a letter will be sent to the appropriate dean who may take further disciplinary actionAny gadget (except an approved calculator) out during an exam will be interpreted as academic dishonesty.  (Keep your electronic gizmos zipped in a backback.)

Email:  Instructors sometime receive 50-100 academic emails a day, and UNT sometimes moves faculty emails.  Help your emails get prompt attention.  Put all your information into ONE email and keep the email BRIEF.   Write in complete sentences with appropriate grammar. Your subject line should include 4 things: course name, time course meets, your full name, and a subject word, for example," SUBJECT: Math 2700 at 11am, Jane Doe, brain surgery".   Do not email me to explain why you can't/didn't turn in your homework: two scores are dropped automatically.  Save your math questions for in person;  I do not explain math over email because the limitions in notation often cause confusion.

Learning Outcomes:
Students will devlop skills in solving problems involving linear relations, learn to solve linear systems using matrix algebra, recognize linear systems as linear transformations, solve for determinants and interpret information provided by determinants, learn tools of working in vector spaces, compute eigenvalues and eigenvectors.

Rough Schedule (subject to change):

Weeks 1--4: systems of linear equations, row reduction and echelon forms, vector equations, matrix equation, solution sets of linear systems, linear independence, linear transformations.
Weeks 5--6: matrix operations, inverse of a matrix, characterizations of invertible matrices,
Weeks: 7--9: introduction to determinants, properties of determinants, cramer’s rule,
Weeks 9--11: vector spaces and subspaces, null & column spaces, linear transformations, linear independent sets, bases, dimension of a vector space, rank
Weeks 12-14:   eigenvectors and eigenvalues, characteristic equation, diagonalization
Time Permitting: inner product, length, and orthogonality



Math 2700: Linear Algebra
Homework Problems


Section

Problems

     Due Date

1.1 Systems of linear equations

1--22, 33, 34

  Sept 1

1.2 Row reduction and echelon forms

4, 10, 12, 20, 23, 24


1.3 Vector equations

5--2, 25--27


1.4 The matrix equation Ax=b

1--20


1.5 Solution sets of linear systems

1--22


1.7 Linear independence

1--14, 27, 28, 30


1.8 Linear transformations

1--17


2.1 Matrix operations

1-11


2.2 The inverse of a matrix

1--8, 13--18, 29--33


2.3 Characterizations of invertible matrices

1--10 (Use Calculator) , 13--17


3.1 Introduction to determinants

1--18


3.2 Properties of determinants

1--20


3.3 Cramer’s rule

1--16


4.1 Vector spaces and subspaces

1--18 


4.2 Null & column spaces

1--20


4.3 Linear independent sets, bases

1--16


4.5 The dimension of a vector space

1--18


4.6 Rank

1--16


5.1 Eigenvectors and eigenvalues

1--20


5.2 The characteristic equation

1--20


5.3 Diagonalization

1--20


6.1 Inner product, length, and orthogonality

TBA


6.2 Orthogonal sets

TBA


6.3 Orthogonal projections

TBA