NORFOLK STATE UNIVERSITY

DEPARTMENT OF MATHEMATICS

 

SYLLABUS for MTH 300, Spring 2007

Linear Algebra

 

Instructor:            Dr. Jesse J. Hou, Assistant Professor of Mathematics

Class Meetings:    Sec01: T,R: 1:30-3 pm  BMHC122; Sec02: M,W,F: 8-9am, BMHC116

Office:                  BMH B-183,         823-9135         Email: jhou@nsu.edu

Office Hours:       M: 10-11; T: 3-4, W: 10-12; R: 9:30-11; F: 9-11 & 2-3

Text:                     Linear Algebra, 2nd ed., by David Poole. iLrn course key: E-3BQBZY3GSPJRN

Tools Required:   A scientific calculator with capability of matrix computation, such as TI-83.

 

PREREQUISITE:  MTH 184 (Calculus I). Recommended co-requisite: MTH 251 (Calculus II).

 

COURSE DESCRIPTION: This course is an introduction to the basic concept, techniques, and elementary applications of linear algebra.  Topics include matrices, linear systems, Gaussian elimination, vector and vector spaces, linear independence, linear transforma-tions, eigenvalues and eigenvectors, finite-dimensional spectrum theory (optional).

 

COURSE RATIONALE:

Because of its extensive applications in solving problems as well as being the foundation of almost all advanced mathematical disciplines, linear algebra is a required core course for math majors and most science and engineering majors.  Students will benefit from this course in solving linear systems, performing matrix operations, understanding and using vector and vector spaces.  The knowledge about linear algebra is essential for the advanced courses such as differential equation, abstract algebra, electric circuits, quantum mechanics, etc.

 

COURSE GOALS AND MEASURABLE INTENDED STUDENT LEARING OUTCOME:

            Upon completion of the course the student will:

 

PRIMARY MATHOD OF INSTRUCTION/ENGAGING THE STUDENTS:

 

TOPICS OUTLINE

 


Week

Text:

Topics:

Assignments (to be collected):


 

1          Sec. 1.1 – The Geometry and Algebra of Vectors                  #1,5,7,9,11,14,21

            Sec. 1.2 – Length and Angle:  The Dot Product        #1,4,5,7,10,13,15,19,21,30,35,39,42,43

2          Sec. 1.3 – Lines and Planes                                        #1,3,6,8,9,11,13,16,19,23,27,29,31,37,39,40

            Sec. 2.0 – Introduction: Triviality                                           #

            Sec. 2.1 – Introduction to Systems of Linear Equations        #11,13,15,17,18,21,27,28,29,33,35

3          Sec. 2.2 – Direct Methods for Solving Linear Systems          #1,5,7,9,10,12,13,16,18,19,25,28,33

            Sec. 2.3 – Spanning Sets & Linear Independence                  #1,5,6,8,9,11,23,24,26,29,30

4          Sec. 2.4 – Applications                                                           #

            Sec. 2.5 – Iterative Methods for Solving Linear Systems (opt.)           #

            Exam 1

5          Sec. 3.1 – Matrix Operations                                                  #2,5,7,8,13,17,21,22,31,33,37,38

            Sec. 3.2 – Matrix Algebra                                                       #1,3,5,6,,13,14,16,,23,26

            Sec. 3.3 – The Inverse of an  Matrix                              #1,4,6,11,13,17,18,19,31,52,54,57,59

7          Sec. 3.4 – The LU Factorization                                             #

            Sec. 3.5 – Subspaces, Basis, Dimension, and Rank    #3,4,6,7,10,11,15,17,19,20,21,27,39,45,46,48

8          Sec. 3.6 – Introduction to Linear Transformations     #2,4,5,7,8,11,12,13,15,16,17,20,21,23,31,33,44

            Exam 2

9          Sec. 3.7 – Applications (opt.)                                                 #

            Sec. 5.1 – Orthogonality in                                                #1,5,7,9,12,13,17,18,19,

10        Sec. 5.2 – Orthogonal complements & Orthogonal Projections           #11,13,15,17,21

            Sec. 5.3 – The Gram-Schmidt Process and the QR Factorization         #2,3,4,5,10

11        Exam 3

            Sec. 4.1 – Intro. Eigenvalues & Eigenvectors                                #1,3,5,7,9,11,13,14,15,16

12        Sec. 4.2 – Determinants                                                          #1,5,6,7,10,13,14

            Sec. 4.3 – Eigenvalue & Eigenvectors of  Matrices       #1,3,4,5,7,15,

            Sec. 4.4 – Similarity and Diagonalization                               #

13        Sec. 4.5 – Iterative Methods for Eigenvalues (Opt.)              #

            Sec. 6.1 – Vector Spaces and Subspaces                                #

14        Sec. 6.2 – Linear Independence, Basis, & Dimension            #

            Exam 4

            Sec. 6.3 – Change of Basis                                                     #

            Sec. 6.4 – Linear Transformation                                            #

            Sec. 6.5 – The Kernel & Range of Linear Transformation     #

            Sec. 6.6 – The Matrix of a Linear Transformation                  #

15                Review

 

RELATED UNIVERSITY-WIDE AND COURSE-SPECIFIC REQUIREMENTS:

EVALUATION / ASSESSMENT CRITERIA:

Evaluation: Each student must take all required tests/quizzes when scheduled and complete all assignments to receive grading points.  The final grade for the course comprises the following:

20% all homework/on line assignments

20% 10 Weekly Quizzes at 2% each

40% 4 Tests at 10% each,

20% final exam.

Exam Schedule:

Test #1:           Chapter 1,2                 February 1-2

Test #2:           Chapter 3                    February 27-28

Test #3:           Chapter 3,5                 April 4-5

Test #4:           Chapter 4,6                 April 24-25

Final Exam:   Comprehensive          Tuesday, 5/1, 8:00 – 10:00 for Sec.02

                                                                                    10:30 – 12:30 for Sec.01

Make-up Policy:     Make-up of tests/quizzes can be made only with a valid excuse and prior to the return of the test/quiz papers (usually before the next class period).

Incomplete:            An incomplete grade can only be considered under extreme extenuating circumstances, such as missing long period of classes due to illness or military deployment, and having a passing grade (C or higher).

Grading Standard

0-59

60-62

63-66

67-69

70-72

73-76

77-79

80-82

83-86

87-89

90-92

93-100

F

D-

D

D+

C-

C

C+

B-

B

B+

A-

A

The instructor reserves the right to revise the grading criteria as appropriate and will make reasonable attempts to notify students.

ACADEMIC INTEGRITY STANDARDS: 

Information regarding academic misconduct, disciplinary procedures, and sanctions regarding such misconduct may be obtained by consulting the NSU Student Handbook.

Attendance:

Students are expected to attend each class.  Attendance is taken in the beginning of the class.  If tardy, please notify the instructor at the end of the class period.  Any absence from class doesn’t relieve any student of the responsibility for completing all class work and assignments.  With satisfactory explanation, an absence may be considered excused.  In general, an excused absence will include any kind of illness, participation in university sponsored activities, recognized emergencies, etc., verified and supported by a written statement from the proper authority. 

NOTE: No-shows by the third week will be deleted from the roster.

Cheating of any kind will not be tolerated and will result in an automatic grade of “F” for the semester (Further disciplinary actions may be taken by the university).

ON-LINE ASSIGNMENT INSTRUCTION:

·         Open a web browser and go to the ThomsonNow Welcome page at http://www.ilrn.com.

·         Under New Users, click Create an Account.

·         On the Registering page, click Instructor.

·         Follow the on-screen instructions to submit your request.

·         Once your account has been set up with your e-mail address and password, you will be able to sign in as a Returning User when you first use ThomsonNow.

 

POLICY ON DISABILITIES: In accordance with Section 504 of the 1973 Rehabilitation Act and the Americans with Disabilities Act (ADA) of 1990, we ask if you have a disability or think you have a disability please call Ms. Marian E. Sheppard, coordinator at 823-2014 or make contact with the Supporting Students through Disability Services (SSDS) office located in Rm. 240 (2nd Floor) - Lyman Beecher Brooks Library.

SUCCESS TIPS:

Your success in this course relies on your understanding and comprehension of the lecture and book.  However, like any other profession, practice makes it perfect.  It is your responsibility to properly reinforce the new knowledge by working similar problems assigned as homework.  To ensure that you can use your new knowledge, it is a good idea to do first a few homework problems “open book” to become more familiar with the setup.  When feeling sufficiently comfortable with the material, work more problems “closed book” to ensure that you did not merely transfer information from one piece of paper to another.

OTHER IMPORTANT DATES:

January 12:                  Last day for late registration/adding courses

January 15:                  Martin Luther King, Jr. Holiday (No classes)

February 26–March 3: Mid-semester advisory exam period

March 5 - 11:               Spring Break

March 23:                    Last day to drop a course

April 27:                      Last day of class