Math 2700, Linear Algebra, UNT

Linear Algebra
Math 2700, Fall 2017 UNT

Professor:	Dr. Anne Shepler
Office:	GAB 471B, phone: 940-565-4943
Office hours:	Mon 10--12, Wed 10--12; by appt
Web:	http://www.math.unt.edu/~ashepler/Math2700F17.html
Prerequisites:	Math 1720 or math department placement
Text:	Linear Algebra and Its Applications, Edition 5, by Lay, Lay, and McDonald
Calculator:	TI-83

Course Description: The course covers linear equations in linear algebra, matrix algebra, determinants, vector spaces, span, independence, rank, dimension, eigenvalues and eigenvectors, and orthogonality.

Grading: Course grade is based on

Homework worth 10%,
Three Exams worth 60% (each worth 20%) on Sept 29, Oct 27, and Dec 1.
Final worth 30%.

Date/Time of Final: The Final Exam will be in our regular classroom Wh 116.

The final for Section 002, MWF 12--12:50 pm, will be Wed., Dec. 13, 10:30--12:30.
The final for Section 003, MWF 1--1:50 pm, will be Sat., Dec. 9, 10:30--12:30.

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

Exams and Final: No hats. No smart devices, including watches. 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.

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.

Homework: Come to lecture each Friday with your homework stapled and ready to turn in at the beginning of class. Your lowest 2 homework scores will be dropped automatically to cover homework missed due to illness, family emergency, transportation problems, oversleeping, injury, work schedule, completing the wrong section, completing the wrong problems, tornados, eclipses, etc. Homework that is difficult to read will earn a zero score. Only hardcopy written work will be accepted, no faxes or emails or scans will be accepted. (ODA students may have exceptions.)

Late Homework: Late homework with a note from a doctor's office or university administrator will receive no penalty. Each assignment is worth 25 points. Since the two lowest scores are dropped during the semester, all other late homeworkwill be accepted with an automatic deduction of points regardless of reason:

5 points will be deducted if homework is late but turned in before 3:30 pm on the due date,
10 points will be deducted from homework turned in after 3:30 on the due date with an additional 5 points deducted for every lecture that goes by without the homework turned in.
For example, if homework is due Friday but turned in just before class on the next Monday, 10 points will be deducted.
For example, if homework is due Friday but turned in just before class on the next Wednesday, 15 points will be deducted.
For example, if homework is turned in exactly a week late, 20 points will be deducted and the max score possible will be 5/25.

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 action. Any gadget out (except an approved calculator) 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 the course meets, your full name, and a subject word, for example," SUBJECT: Math 2700 at 11am, Jane Doe, brain surgery". 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
"How Google Finds Your Needle in the Web's Haystack"	Handout
1.1 Systems of linear equations	1--22, 33, 34
1.2 Row reduction and echelon forms	4, 10, 12, 20, 23, 24
1.3 Vector equations	5--21, 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--30
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--24
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