INSTRUCTOR: Dr. Aissa Wade
Office: 317 McAllister
Phone: (814) 865-7311
E-mail: wade@math.psu.edu
Office Hours (Spring 2008): WF 4:00 - 5:00 and by
appointment.
CATALOG DESCRIPTION: Systems of linear equations; matrix algebra; eigenvalues and eigenvectors; orthogonality and least squares.
PREREQUISITE: Math 110 or 140
TEXT BOOK: Linear Algebra and its Applications, third edition update, by David Lay, published by Pearson/Addison Wesley.
CALCULATORS: No calculators are allowed on the midterm and final examinations.
COURSE FORMAT: There are two 50-minute lectures each week. The sections covered in these lectures are listed below.
TUTORS AND MATH CENTER: Free mathematics tutoring is available at the Math Center located in 220 Boucke Building. More information can be found at: Math Center. If you need additional help, a (paid) tutors list is maintained by the Mathematics Department Undergraduate Office, http://www.math.psu.edu/ug/PrivateTutorList.htm.
LATE-DROP: Students may add/drop a course without academic penalty within the first ten calendar days of the semester. A student may late drop a course within the first twelve weeks of the semester but accrues late drop credits equal to the number of credits in the dropped course. A baccalaureate student is limited to 16 late drop credits. The late drop deadline for Spring 2008 is April 11, 2008.
HOMEWORK/QUIZZES: There will be weekly homework assignments given every Thursday and collected in class the following Thursday. Correct answers without supporting work will not receive credit. Homework assignments will be partially graded. Two lowest homework grades will be dropped. No late homework will be accepted.
An in-class quiz will be given every month. Take-home quizzes will also be given . No makeups on quizzes .
EXAMINATIONS: A 75-minute evening examination will be given during the semester and a comprehensive final examination will be given during the final examination period. NO books, notes, or calculators may be used on the examinations. Cellphones or any electronic device must be turned off during the exams. You must bring your University ID card to all exams.
Rooms for the examinations will be announced by your instructor at a
later date.
Conflict Exam: For the midterm examination, there is a conflict examination from 5:05 to 6:20 PM on the same night as the regular examination.
Who may take the Conflict Exam? If you have a
valid conflict with the regular examination time, such as a class or other
scheduled activity, you may sign up for the conflict exam. Students are responsible for knowing the room and time of the conflict examination. Students must
bring their University ID to the conflict examination. The ID will be
checked by the proctor. Although the conflict examination will end at 6:20
PM, no student will be permitted to leave the examination room before 6:25 PM.
Any student who leaves before 6:25 PM will receive a grade of zero on the
examination and will not be allowed to retake it.
Makeup Exam: A
makeup exam will be given two days after the regular midterm exam.
Who may take the makeup exam? Students who have a valid
documented reason, such as a class conflict or illness, during both the
conflict and regular examination times are permitted to schedule a makeup
examination with no penalty. You must be prepared to verify the reason for
taking the makeup. Students who do not have a valid reason for missing the
examination, such as forgetting the date, time, or room of an examination,
are permitted to schedule the makeup, but 30 points will be deducted from
their score. Students who have taken either the regularly scheduled examination
or conflict examination are not permitted to take the makeup examination.
Students who have not signed up for the makeup with their instructor will not
be allowed to take the exam. The makeup examination will be given on
How and when to sign up for the Makeup Exam.
Students must sign up for the Makeup
Exam in class, with their
instructor, on a yellow form, as soon as possible following the
regular exam date. The student is responsible for knowing
the room and time of the makeup examination. This information is on top of
the yellow form. Your instructor must turn in the yellow form 2
class days prior to the examination date. If you have not signed up with
your instructor, you will not be allowed to take the makeup exam.
Students must bring their University
ID to the makeup examination. The ID will be checked by the proctor.
What if a student misses both the regularly scheduled exam and the makeup exam? If a student misses both the regularly scheduled examination and the scheduled makeup due to a valid, verifiable reason, it maybe possible to take a makeup examination by appointment. All such makeup examinations must be scheduled through the instructor with the approval of the course coordinator and must be completed no later than ten days after the scheduled makeup examination.
FINAL EXAMINATION: The final examination will be given during the week, May 5 - 9, 2008. The final examination may be scheduled on any day during the final examination period. Do not plan to leave University Park until after Friday, May 9, 2008. There are two types of conflict examinations, direct and overload. Direct conflicts are two examinations scheduled at the same time. Overload examinations are three or more examinations scheduled within a fifteen hour period, from the beginning of the first examination to the beginning of the third examination. Students may elect to take the three or more examinations on the same day if they wish or request a conflict final examination. Students may access their final exam schedule Monday, February 18, through their e-lion account. Notification of conflicts is given on the student's final exam schedule. A student must take action to request a conflict exam through e-lion between February 18 - March 2. Conflict final examinations cannot be scheduled through mathematics department, and there will be no sign up sheet in 104 McAllister for the final conflict examination.
Students who miss both the regular and conflict final examinations due to a valid and documented reason, such as illness, may be allowed to take a makeup final examination. If the student does not have a valid reason, at least a 30 point penalty will be imposed. All such makeup examinations must be scheduled through the instructor with the approval of the course coordinator and students should contact the instructor within 24 hours of the final examination. Students who have taken the original final examination are not permitted to take a makeup examination.
GRADING POLICY: Grades will be assigned on the basis of 300 points distributed as follows:
75 points for homework and quizzes
100 points for the midterm exam
125 points for the final exam
The exact point requirements for each letter grade will be
decided at the end of the course.
A typical distribution follows:
| Grade | %-score |
| A, A- | 100-90 |
| B+, B, B- | 89-80 |
| C+, C | 79-70 |
| D | 69-60 |
| F | 59-0 |
Academic integrity includes a commitment not to engage in or tolerate acts of falsification, misrepresentation or deception. Such acts of dishonesty violate the fundamental ethical principles of the University community and compromise the
worth of work completed by others.
"Academic dishonesty includes, but is no limited to, cheating, plagiarizing,
. . ., facilitating acts of academic dishonesty by others, having unauthorized
possession of examinations, submitting work of another person or work previously
used without informing the instructor, or tampering with academic work of other
students. . . . A student charged with academic dishonesty will be given oral
or written notice of the charge by the instructor. If students believe that
they have been falsely accused, they should seek redress through informal discussions
with the instructor, the department head, dean or campus executive officer.
If the instructor believes that the infraction is sufficiently serious to warrant
the referral of the case to Judicial Affairs, or if the instructor will award
a final grade of F in the course because of the infraction, the student and
instructor will be afforded formal due process procedures." From Policies and
Rules, Student Guide to the University Policy 49-20.
Based on the
University's Faculty
Senate Policy 49-20, a range of academic sanctions may be taken against a
student who engages in academic dishonesty. Please see the Eberly College
of Science Academic Integrity homepage for additional information and
procedures.
COURSE COORDINATOR: Dr. Aissa Wade (wade@math.psu.edu)
I. LINEAR EQUATIONS IN LINEAR ALGEBRA
1.1 Systems of Linear Equations (1.5)
1.2 Row Reduction and Echelon Forms (1.5)
1.3 Vector Equations (1)
1.4 The Matrix Equation Ax=b (1)
1.5 Solution Sets of Linear Systems (1)
1.7 Linear Independence (1)
1.8 Introduction to Linear Transformations (1)
1.9 The Matrix of a Linear Transformations (1)
II. MATRIX ALGEBRA
2.1 Matrix Operations (1)
2.2 The Inverse of a Matrix (1)
2.3 Characterizations of Invertible Matrices (1)
2.8 Linear Subspaces (1.5)
2.9 Dimension and Rank (1.5)
III. DETERMINANTS
3.1 Introduction to Determinants (1)
3.2 Properties of the Determinants +Cramer's rule from 3.3 (1)
V. EIGENPROBLEMS
5.1 Eigenvalues and Eigenvectors (1)
5.2 The Characteristic Equation (1)
5.3 Diagonalization (1)
5.5 Complex Eigenvalues (1)
VI. ORTHOGONALITY AND LEAST SQUARES
6.1 Inner Product, Length, and Orthogonality (1)
6.2 Orthogonal Sets (1)
6.3 Orthogonal Projections (1)
6.4 The Gram-Schmidt Process (no Factorization) (1)
6.5 Least-Squares Problems (1)
VII. SYMMETRIC MATRICES
7.1 Diagonalization of Symmetric Matrices. (1)