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MATH 237 Section 006: Introduction to Linear Algebra

Fall 2013

3 Credit Hours
Primary Instructor: Dr. Bruce Trace
Core Designation: Mathematics
Syllabus subject to change.
Note: This syllabus contains one or more sections which have restricted viewing. Some content may require only a valid university login, while other content may be limited to students registered for the class.

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Prerequisites

From the Student Records System
  • MATH 126 (undergrad) with a minimum grade of C-
  • Or
  • MATH 146 (undergrad) with a minimum grade of C-

Course Description

 

Fundamentals of matrices and vectors in Euclidean space. Topics include solving linear systems of equations, matrix algebra, inverses, determinants, eigenvalues and eigenvectors. Also covers the basic notions of span, subspace, linear independence, basis, dimension, linear transformation, range, and null-space. Use of mathematics software is a part of the course.  Theory plays a significant role in this course – both in lectures and on tests.

Student Learning Outcomes

 

General 100-200 Student Learning Outcomes: In this course students will become familiar with scholarly and research methods and develop effective written communication skills.

 

Course Student Learning Outcomes:  The course is designed to provide a foundation in both computational and theoretical linear algebra.  At the conclusion of the course, the student will be able to 

  • Perform matrix and vector operations.
  • Find the eigenvalues and eigenvectors of matrices with real coefficients.
  • Find bases for the range and nullspace of matrices with real coefficients.
  • Interpret geometrical properties of matrices such as eigenvalues, eigenvectors, nullspace, and range.
  • Determine if a set of vectors is linearly independent, orthogonal, or form a basis for a vector space.
  • Prove that a set of vectors is a subspace including the range and nullspace of a linear transformation.

Outline of Topics

 

Chapters Covered: Time permitting, the following material will be covered:

 

                  Chapter 1:                 Sections 1 through 5,

                  Chapter 2:                 Sections 1 through 4,

                  Chapter 3:                 Sections 1, 2 and 4,

                  Chapter 4:                 Sections 1 through 7,

                  Chapter 5:                 Sections 1 through 3,

                  Chapter 6:                 Section 1 

Exams and Assignments

 

                  10 % of your grade will be based on weekly quizzes, 10 % will be based on      

                   a MATLAB project and 80 % of your grade will be based on two tests

                   together with a comprehensive Final Exam.

                  

Each quiz will consist of one question and be worth 5 points.  No partial credit will be given on quizzes. Quizzes will be given at the beginning of class every Tuesday - beginning August 27 and ending November 19.  Typically, quizzes will last 5 minutes.  A total of 13 quizzes will be given and your lowest 3 quiz scores will be dropped (for this reason quizzes cannot be made-up).  Thus, quizzes will contribute 50 points towards your course grade.

 

The MATLAB project will also be worth 50 points.  The project will consist of five problems - which will be distributed in class no later than Tuesday, October 1 and your solutions will be due on Tuesday, November 19.

 

There will be two 75 minute, in-class tests, each worth 100 points and a comprehensive Final Exam, worth 200 points.

 

 

Test #1: Thursday, September 26

Test #2: Thursday, November 7

MATLAB project due:  Tuesday, November 19

Final Exam:  Thursday, December 12, 8:00 AM - 10:30 AM

 

Grading Policy

 

Your Course Grade will be the better of the following two grades:

                 (i)     Your grade based on the 500 points possible.

(ii)    Your grade based on the following formula:

          1/5{(Quiz score) + (MATLAB score) + 2(Final Exam score)}

 

NOTE: You must take the Final Exam. It is worth at least 40 % of your grade.  

 

 

  A-: [90,92)                       A: [92,98]                       A+: (98,100]

                   B-: [80,82)                       B: [82,88]                       B+: (88,90)    

                   C-: [70,72)                       C: [72,78]                        C+: (78,80)

                   D-: [60,62)                       D: [62,68]                       D+: (68,70)

                                                               F: [0,60)

 

                   The numbers above are percentages in interval notation.

 

 

Policy on Missed Exams & Coursework

 

Major graded work (such as tests or papers, but not quizzes) missed due to legitimate circumstances beyond the student’s control may be made up if arrangements are made with the instructor in advance, or in a timely fashion upon the student’s return to class.

 

"UA's primary communication tool for sending out information is through its web site at www.ua.edu <http://www.ua.edu/> .  In the event of an emergency, students should consult this site for further directions."

Should a Test be postponed due to inclement weather, etc., I’ll e-mail the class ASAP concerning the Test’s rescheduling.

In the event of an emergency, check Blackboard Learning for additional course information.  



 

Attendance Policy

Regular punctual class attendance is required.  

 
 

Special Note:  If you take no quizzes prior to October 8 and you do not take

                           Test #1 on September 26, I will view you as not attending class.

                           This will result in your receiving an NA for a midterm grade –

                            in which case, you will be removed from the class.  Be aware that I                  

         will not support your petition to re-enter class – should you wish to     

                            do so.

Required Texts

UA Supply Store Textbook Information

  • ANDRILLI / ELEMENTARY LINEAR ALGEBRA
    (Required)

Policy on Academic Misconduct

All students in attendance at the University of Alabama are expected to be honorable and to observe standards of conduct appropriate to a community of scholars. The University expects from its students a higher standard of conduct than the minimum required to avoid discipline. Academic misconduct includes all acts of dishonesty in any academically related matter and any knowing or intentional help or attempt to help, or conspiracy to help, another student.

The Academic Misconduct Disciplinary Policy will be followed in the event of academic misconduct.

Disability Statement

If you are registered with the Office of Disability Services, please make an appointment with me as soon as possible to discuss any course accommodations that may be necessary. If you have a disability, but have not contacted the Office of Disability Services, please call 348-4285 or visit 133-B Martha Parham Hall East to register for services. Students who may need course adaptations because of a disability are welcome to make an appointment to see me during office hours. Students with disabilities must be registered with the Office of Disability Services, 133-B Martha Parham Hall East, before receiving academic adjustments.

Severe Weather Protocol

In the case of a tornado warning (tornado has been sighted or detected by radar, sirens activated), all university activities are automatically suspended, including all classes and laboratories. If you are in a building, please move immediately to the lowest level and toward the center of the building away from windows (interior classrooms, offices, or corridors) and remain there until the tornado warning has expired. Classes in session when the tornado warning is issued can resume immediately after the warning has expired at the discretion of the instructor. Classes that have not yet begun will resume 30 minutes after the tornado warning has expired provided at least half of the class period remains.

UA is a residential campus with many students living on or near campus. In general classes will remain in session until the National Weather Service issues safety warnings for the city of Tuscaloosa. Clearly, some students and faculty commute from adjacent counties. These counties may experience weather related problems not encountered in Tuscaloosa. Individuals should follow the advice of the National Weather Service for that area taking the necessary precautions to ensure personal safety. Whenever the National Weather Service and the Emergency Management Agency issue a warning, people in the path of the storm (tornado or severe thunderstorm) should take immediate life saving actions.

When West Alabama is under a severe weather advisory, conditions can change rapidly. It is imperative to get to where you can receive information from the National Weather Service and to follow the instructions provided. Personal safety should dictate the actions that faculty, staff and students take. The Office of Public Relations will disseminate the latest information regarding conditions on campus in the following ways:

  • Weather advisory posted on the UA homepage
  • Weather advisory sent out through Connect-ED--faculty, staff and students (sign up at myBama)
  • Weather advisory broadcast over WVUA at 90.7 FM
  • Weather advisory broadcast over Alabama Public Radio (WUAL) at 91.5 FM
  • Weather advisories are broadcast via WUOA/WVUA-TV, which can be viewed across Central Alabama. Also, visit wvuatv.com for up-to-the-minute weather information. A mobile Web site is also available for your convenience.