Math 2700.006 Linear Algebra and Vector Geometry
SyllabusFall 2011
Instructor:Dr. Kiko Kawamura,
Department of Mathematics
Office: GAB 433
Phone: (940)-565-3386
Website:
E-Mail:
Office Hours: Tuesday& Thursday: 11am-12:30pm
Friday: 11am-12:00pm
Students unable to see me during these times may request an appointment.
Class Meets:Monday, Wednesday and Friday: 9:00-9:50am in LANG 114
Text book:Linear Algebra and its applications (4th updated Edition), by David C. Lay.
CourseDescription: 3 hours. Vector spaces over the real number field; applications to systems of linear equations and analytic geometry in En, linear transformations, matrices, determinants and eigenvalues.
Prerequisite: Math 1720
Attendance policy:Attendance is required! You will be responsible for everything that I cover in class, even if you are absent. It is my experience that students who skip class frequently make poorer grades than students who attend class regularly. You should consider this if you don't think you'll be able to wake up in time for class consistently.
Drop Policy:If the student is unable to complete this course, it is his/her responsibility toformally withdraw from the course. The student may do so through the Registrar's Office after obtaining the necessary signatures. Consents for withdrawal may be obtained in the Math Department Office, GAB 435. The last day to drop a class with an automatic ``W" is October 4th. The last day to drop a class with a ``W" or ``WF" is October 28th.WF" is averaged into your GPA as an ``F." If the student does not properly withdraw from the course but stops attending, s/he will receive a performance grade, usually an “F”.
Student Responsibilities
Student behavior that interferes with an instructor's ability to conduct a class or other students' opportunity to learn is unacceptable and disruptive and will not be tolerated in any instructional forum at UNT. Students engaging in unacceptable behavior will be directed to leave the classroom and the instructor may refer the student to the Center for Student Rights and Responsibilities to consider whether the student's conduct violated the Code of Student Conduct. The university's expectations for student conduct apply to all instructional forums, including university and electronic classroom, labs, discussion groups, field trips, etc.
• You should read over this syllabus carefully, as I will hold you responsible for the information herein.
• Students will be expected to read the chapters carefully, including the examples in the book.
• Students will be responsible for obtaining any and all handouts. If you are not in class when handouts are given, it is your responsibility to obtain copies.
• You should begin working now. Frequent practice is crucial to the successful completion of a mathematics course. Cramming at the last minute will certainly lead to failure. Students who are successful spend an two hours after each lecture with a classmate reviewing the lesson and working on homework problems. Successful students work on the assignments consistently every day, instead of waiting until the last minute. They read their textbooks regularly and make learning notes.
• WARNING: If you are in academic trouble, or are in danger of losing your financial support, or if your parent or guardian is expecting a certain grade at the end of the semester... start working today!
I will refuse to listen to any pleas at the end of the semester. You will receive precisely the grade that you earn.
• Drop Policy:If the student is unable to complete this course, it is your responsibility toformally withdraw from the course. The student may do so through the Registrar's Office after obtaining the necessary signatures. Consents for withdrawal may be obtained in the Math Department Office, GAB 435. The last day to drop a class with an automatic ``W" is October 4th. The last day to drop a class with a ``W" or ``WF" is October 28th.WF" is averaged into your GPA as an ``F." If the student does not properly withdraw from the course but stops attending, s/he will receive a performance grade, usually an “F”.
• It is the responsibility of students with certified disabilities to provide the instructor with appropriate documentation from the Office of Disability Accommodations (ODA).
•Student Evaluation of Teaching Effectiveness (SETE): is a requirement for all organized classes at UNT. This short survey will be made available to you at the end of the semester, providing you a chance to comment on how this class is taught.
Grading Policies
The following schedule is tentative and is subject to capricious changes in case of extracurricular events deemed sufficiently important to the upper administration.
Regular Exams:2equally weighted examinations (each 25%)
Exam#1 (October 14th)
Exam#2 (November 28th)
Homework and Quiz: (20%)
Comprehensive Final Exam: Wednesday, December 14 8:00-10:00 am (30%)
Grades:
A 90%-100%, B 80% - 89%, C 70% - 79%, D 60% - 69%, F below 60%
• Academic Dishonesty:Cooperation is encouraged in doing the homework assignments. However, cheating will not be tolerated on the exams. If you are caught cheating, you will be subject to any penalty the instructor deems appropriate, up to and including an automatic F for the course. Furthermore, a letter will be sent to the appropriate dean. Refer to the following university site for the official policy with regards to academic dishonesty. The website is:
• The grade of "I" is designed for students who are unable to complete work in a course but who are currently passing the course. The guidelines are clearly spelled out in the Student Handbook. Before you ask, you should read these requirements.
Exam Policies
• Unless announced otherwise, any calculator will not be permitted for use on exams.
• After exams are returned in class, you have 48 hours to appeal your grade. I will not listen to any appeals after this 48-hour period.
• NO MAKE-UP EXAMS WILL BE GIVEN. An exam may be taken prior to the scheduled date. I request a week’s notice for this accommodation via email. In the event of a schedule conflict with a university function, dental/physician’s appointment, wedding, formal, or whatever, the student must take the test early. If a student does not take a scheduled exam, a zero will be recorded for that exam and a notice may be sent through the registrar’s office.
There are two in-class exams. If your final exam score is higher than one of your in-class exam scores, then that in-class exam grade will be replaced with final exam grade. If you miss an in-class exam, a zero will be recorded for that exam grade and your final exam score will replace that one zero. If you receive a zero for cheating on an exam, the final exam score will NOT replace that zero. The final exam score can count as 30% of the course grade or 55% of the course grade. Again, NO MAKE-UP EXAMS WILL BE GIVEN FOR ANY REASON EVER.
• I reserve the right to test and quiz you on problems which are generalizations of material covered in the class and/or in the text. In short, the problems may not look exactly like the ones in the book.
• Everything that I say in class is fair game for exam material. You will be responsible for everything unless I advise you to the contrary.
Homework and quiz Policies
•The homework will be assigned on the day that we complete the section of material and are due at the beginning of the class period following Friday. (Unless I say otherwise).
• Every Friday, just before collecting your homework, I will give a quiz which includes two problems coming from homework assignments.
• Entire homework assignments will not be graded. Instead, only three representative problems will be graded per assignment. Deliberately leaving homework uncompleted is highly not recommended, however, as the law of averages will surely catch up with you as the semester progresses.
• When computing grades, I will drop the three lowest homework grades and quiz grades for each before computing the average. I have this policy in case you get sick, a family emergency arises, etc., during the semester. You will still be responsible for the material in such assignments during the examinations.
• Because of this policy, I will NOT give extensions on homework assignments, nor will I accept late assignments for any reason whatsoever.
• You may want to check out the UNT Math Lab (GAB 440) to get extra help with the homework.
Please look at the Math Lab web site: to get more information!
Course Topics (MATH 2700)
The following chapters and sections of the textbook will be covered according to the projected schedule below. Dates may change as events warrant.
• Chapter 1: Linear Equations in Linear Algebra
- 1.1: Systems of Linear Equations
- 1.2: Row Reduction and Echelon Forms
- 1.3: Vector Equations
- 1.4: The Matrix Equation Ax=b
- 1.5: Solution Sets of Linear Systems
- 1.6: Applications of Linear Systems
- 1.7: Linear Independence
- 1.8: Linear Transformations
• Chapter 2: Matrix Algebra
- 2.1: Matrix Operations
- 2.2: The inverse of a Matrix
- 2.3: Characterizations of Invertible Matrices
- 2.7: Applications to Computer Graphics
- 2.8: Subspace of R^n
- 2.9: Dimension and Rank
• Chapter 3: Determinants
- 3.1: Introduction to Determinants
- 3.2: Properties of Determinants
- 3.3: Cramer’s Rule, Volume, and Linear Transformations
• Chapter 5: Eigenvalues and Eigenvectors
- 5.1: Eigenvalues and Eigenvectors
- 5.2: The Characteristic Equation
- 5.3: Diagonalization
- 5.6: Discrete Dynamical Systems
• Chapter 6: Orthogonality and Least Squares
- 6.1: Inner Product, Length, and Orthogonality
- 6.2: Orthogonal Sets
Fall 2011: Tentative Schedule for MATH 2700 (M-W-F class)
MONDAY / TUESDAY / WEDNESDAY / THURSDAY / FRIDAY8/22 / 8/23 / 8/24 / 8/25
FIRST DAY OF CLASS / 8/26
Introduction
8/29
Section 1.1 / 8/30 / 8/31
Section 1.2 / 9/1
MATH LAB OPENS for the semester / 9/2
Last day to add or swap a class.
Section 1.2+HW
9/5
LABOR DAY
No classes / 9/6
/ 9/7
Section 1.3 / 9/8
CENSUS DATE - Last day to drop course for refund; After this date instructor's written consent required / 9/9
Section 1.3-1.4
9/12
Section 1.4 / 9/13 / 9/14
Section 1.4-1.5 / 9/15 / 9/16
Section 1.5+HW
9/19
Section 1.6 / 9/20 / 9/21
Section 1.6-1.7 / 9/22 / 9/23
Section 1.7+HW
9/26
Section 1.8 / 9/27 / 9/28
Section 1.8, 2.1 / 9/29 / 9/30
Section 2.1+ HW
10/3
Section 2.2 / 10/4
Last day to drop with an automatic “W” / 10/5
Section 2.2-2.3 / 10/6 / 10/7
Section 2.3+ HW
10/10
Section 2.7 / 10/11 / 10/12
Review / 10/13 / 10/14 MIDSEMESTER
Exam#1
10/17
Section 3.1 / 10/18 / 10/19
Section 3.1-3.2 / 10/20 / 10/21
Section 3.2+HW
10/24
Section 3.3 / 10/25 / 10/26
Section 3.3, 2.8 / 10/27 / 10/28
Last day to drop a course with consent of instructor
Section 2.8+HW
10/31
Section 2.8-2.9 / 11/1 / 11/2
Section 2.9 / 11/3 / 11/4
Section 2.9+HW
11/7
Section 5.1 / 11/8 / 11/9
Section 5.1-5.2 / 11/10
Beginning this date a student who qualifies may request a grade of “I” / 11/11
Section 5.2+HW
11/14
Section 5.3 / 11/15 / 11/16
Section 5.3, 5.6 / 11/17 / 11/18
Last day for an instructor to drop a student with a grade of “WF” for non-attendance
Section 5.6+HW
11/21
Section 6.1 / 11/22 / 11/23
Review / 11/24
THANKSGIVING University closed / 11/25
THANKSGIVING University closed
11/28
Exam#2 / 11/29 / 11/30
Section 6.1-6.2 / 12/1 / 12/2
Section 6.2+HW
12/5
PRE-FINAL WEEK
Review / 12/6
PRE-FINAL WEEK / 12/7
PRE-FINAL WEEK
Review / 12/8
PRE-FINAL WEEK / 12/9
4:00 pm – MATH LAB CLOSES for the semester
PRE-FINAL WEEK
12/12
FINALS WEEK / 12/13
FINALS WEEK
/ 12/14
FINALS WEEK / 12/15
FINALS WEEK / 12/16
FINALS WEEK
TERM ENDS