Course Instructor : Dr. Peh Ng --
Course Time : 9:15am till 10:20am MWF
Course Venue : Sci 3650
Instructor's OFFICE: Sci 2330
Instructor's OFFICE HOURS: 10:30am till noon on Mon & Fri; and 1:00pm till 2:30pm Tue & Thu; or anytime by appointment. (I am either in my office, in class or somewhere on campus from 7:30am till 7pm so if you need help, stop by my office or catch me anywhere on campus.)
Instructor's PHONE: 589-6318
Instructor's E-MAIL: pehng@morris.umn.edu
Course Web Page:
www.morris.umn.edu/~pehng/Ma2111
COURSE's MATERIALS:
Class notes, handouts
& textbook: Elementary Linear Algebra with applications (9th Edition)
by Kolman & Hill.
To facilitate in-class discussions, it is recommended that you do some reading of the text.
PRE-REQUISITES FOR THIS COURSE:
Math 1101 (Calculus 1) and
Willingness to work hard, to spend at least 8 hours weekly on this
course OUTSIDE of class time,
& to think analytically.
COURSE's OBJECTIVES/PURPOSES: To help students to:
SPECIFIC MATERIAL COVERED:
1. Linear Equations and Matrices.
Systems of linear equations; matrices; matrix multiplication;
matrix operations and their algebraic properties;
types of matrices and partitioned matrices;
matrix transformations and their applications.
2. Solving Linear Systems.
Echelon form of a matrix; reduced echelon form of a matrix;
solving linear systems of the form
AX = b ; elementary matrices and finding
inverse of a matrix:
A -1 ; equivalent matrices.
3. Determinants.
Definition of determinants; properties of determinants;
(if time permits...
some other related concepts and applications -
cofactor expansions;
cross-product in R 3 ) .
4. Real Vector Spaces.
Vector spaces (including vectors in the plane and in 3-D);
subspaces; geometric interpretation of some vector
spaces; span and linear
independence; basis and dimension; homogeneous systems;
rank of a matrix; ( and if time permits,
coordinates and isomorphisms.)
5. Inner Product Spaces.
Length and directions in
R 2 and
R 3 ;
inner product spaces; Gram-Schmidt process;
orthogonal complements.
6. Linear Transformations and Matrices.
Definitions and examples; kernel and range of a
linear transformation; matrix representations of linear transformations; similarity;
connections between linear transformations and their
matrices.
7. Eigenvalues and Eigenvectors.
Eigenvectors and eigenvalues (characteristic values and
characteristic polynomials);
diagonalization and similar matrices; diagonalization of
symmetric matrices;
eigenspaces associated with eigenvalues of a linear operator
or a an n x n matrix.
8. Applications.
We will do in-depth applications of
all the aforementioned topics in linear algebra via student
projects.
COURSE'S REQUIREMENTS AND ADMINISTRATIVE STUFF:
Note: This is an extremely fast-paced course; if you wish to
earn a passing grade, you cannot afford to get behind even for a day or so.
HOMEWORK & ASSIGNMENTS :
There will be computer and written homework assigned and due,
at least
twice per week in class.
Occasionally, when there is time, students will be asked to present
their work on the board to the class. (See policies below.)
EXAMINATIONS:
There will be three in-class exams throughout the 15-weeks of the semester
and a comprehensive
in-class final exam during finals week.
All exams
will be closed book/notes; any helpful information, if applicable,
will be
provided by the instructor. (See policies below.)
CLASS ATTENDANCE:
Although class attendance is not a part of your course
grade, it has been statistically proven that there is a strong
negative correlation between missing classes
(for whatever reasons) and the grades received, in this
course.
POLICIES on homework, project and exams.
(Late assignments are NOT accepted unless arrangements are
made with the instructor PRIOR to the due date.
If you do NOT attend class
on the day that homework is due and you did not make any prior
arrangements with the instructor, then it is YOUR responsibility to make
sure
assignments get turned in that day and to make sure you catch up
on the material missed,
including new assignments. Only legible and
neatly written assignments will be graded.
There will be NO make-up exams
unless arrangements are made with the instructor
PRIOR to the exams. And there is unequivocally NO such thing as a make-up
project. )
ACADEMIC INTEGRITY and HONESTY:
Discussion of homework or assignments among students aids learning and is
encouraged. However, each student is expected to submit or present his/her
own work if requested. No two homeworks or presentations
should ever be identical on any
major part. No cooperation of any kind, or use of unauthorized notes, is allowed during examinations and quizzes.
Cheating, particularly on examinations, hurts students who are honestly earning their grades by devaluing their achievements. It is every student's responsibility to help control academic honesty by
reporting it to the professor whenever they see it going on.
Students who violate UMM's academic integrity and honesty code will
face consequences according to University Policies which include
being expelled.
GRADING:
1. Three exams (one every four weeks) - 100 points each. 300 points
( F.Y.I. the first exam will be around Feb 18; the second around March 25, and
the third will be around April 22.)
2. Final exam ( Mon May 9 at 11am till 1pm ) 200 points
3. Course Project (on real-world applications) 100 points
(See the Project Handout
at www.morris.umn.edu/~pehng/Ma2111/proj.pdf)
4. Homework - (written and computer). 100 points
(See the list of written assignments due at
www.morris.umn.edu/~pehng/Ma2111/hw.html)
| EARNED GRADE | IF TOTAL PERCENTAGE EARNED x is |
| A | 90 ≤ x ≤ 100 |
| A- | 88 ≤ x ≤ 89 |
| B+ | 86 ≤ x ≤ 87 |
| B | 80 ≤ x ≤ 85 |
| B- | 78 ≤ x ≤ 79 |
| C+ | 76 ≤ x ≤ 77 |
| C | 70 ≤ x ≤ 75 |
| C- | 68 ≤ x ≤ 69 |
| D+ | 66 ≤ x ≤ 67 |
| D | 60 ≤ x ≤ 65 |
All-University Interpretation of Grades
A & A-: achievement that is outstanding relative to the level necessary to meet course requirements.
B, B+ & B-: achievement that is significantly above the level necessary to meet course requirements.
C, C+,C-: achievement that meets the course requirements in every respect.
D, D+: achievement that is worthy of credit even though it fails to meet fully the course requirements.
S : achievement that is satisfactory, which is equivalent to a C- or better (achievement required for an S is at the discretion of the
instructor but may be no lower than a C-).
F (or N) : Represents failure (or no credit) and signifies that the work was either (1) completed but at a level of achievement that is not
worthy of credit or (2) was not completed and there was no agreement between the instructor and the student that the student would be
awarded an I (see also I)
Academic dishonesty: academic dishonesty in any portion of the academic work for a course shall be grounds for awarding a grade of F or
N for the entire course.
I (Incomplete) Assigned at the discretion of the instructor when, due to extraordinary circumstances, e.g., hospitalization, a student is
prevented from completing the work of the course on time. Requires a written agreement between instructor and student.
For undergraduate courses, one credit is defined as equivalent to an average of three hours of learning effort per week (over a full
semester) necessary for an average student to achieve an average grade in the course. For example, a student taking a three credit course
that meets for three hours a week should expect to spend an additional six hours a week on coursework outside the classroom.
PLEASE FEEL WELCOME TO SEE ME OUTSIDE OF THE
CLASS, ANY TIME, IF YOU HAVE QUESTIONS, PROBLEMS, OR COMMENTS
PERTAINING THE COURSE WORK.
© 2001-2011 by Peh Ng The views and opinions expressed in this page are strictly those of the page author. The contents of this page have not been reviewed or approved by the University of Minnesota.
Last Modified Friday, January 14, 2011
Page URL: http://www.morris.umn.edu/~pehng/Ma2111/syllabus.html
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