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                    Applied Linear Algebra            

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DMS

UAH

       

UAH, Fall Semester

  MA 458/508
Faculty:  Prof. S.S. Ravindran
Lecture Room: Shelby Center 219
Lecture Time: MW 12:45 p.m - 2:05 p.m.
Office Hours: MWF 3 - 5:00 p.m or by appointment.

 



 

Matrix Theory and Applications, by Darald Hartfiel ; CRC Press, 2001.

 

This course deals with the core topics of linear algebra that are essential to its use in contemporary mathematics, applied mathematics, engineering, and sciences. Topics include real and complex vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms for matrices, matrix calculus, normed vector spaces, normal matrices. Applications in difference and differential equations are also covered.

 

MA244 or MA238

 

Hourly examinations

    There will be one 1:20 minute in-class midterm examination during the semester. This is scheduled for October 15.

Final examination

    There will be a comprehensive final examination on December 3 from 11:30-- 2:00pm.

Make-ups

    If you miss a test due to a documented illness, family emergency or other extreme circumstance, the weight of your remaining grades will be adjusted to compensate provided I receive a written excuse within a reasonable amount of time after the missed test.

Calculators

    No programmable or Graphic calculators are allowed in the tests. Only basic calculators are allowed. If the calculator costs more than $15, you are buying the wrong calculator.
Assignments
    I will give assignments nearly every week, to be turned in for grading. This average will count 35% of your grade. Your assignment must be neatly written with appropriate discussions and stapled. Do not fold it or include it in envelope.
Course grading
    Each student's grade will be based on the individual grades from exams and assignments. The approximate percentage weights are as follows:

      Grade Weights

      Item Approx.
      Weight
      Mid-term Exam 30%
      Final Exam 35%
      Assignments 35%
      Total 100%

      Grading Scale

      A 90.0 - 100%
      B 80.0 - 89%
      C 70.0 - 79%
      D 60.0 - 69%
      F Below 60.0%

 

Week Sections Comments
1 Chapter 1 .....
2 Chapter 1 .....
3 Chapter 1 .....
4 Chapter 2 .....
5 Chapter 2 .....
6 Chapter 2 ......
7 Chapter 3 .....
8 Chapter 3 .....
9 Chapter 3 .....
10 Chapter 4
11 Chapter 4
12 Chapter 5 .....
13 Chpater 5 .....
14 Chapter 6 ........
15 Chapter 6 ........
15 Chapter 7 and Review Final Exam: 11:30-2:00pm, December 3

Note: This is an approximate syllabus only and because of differences in weekly schedules, some variations are to be expected.

 

Section Exercises
1.1 7, 9, 10, 11, 14, 16, 17, 18, 20, 22, 26, 27, 28, 32
2.1 3, 6 (a)-(e), 12, 13, 14, 17, 18
2.2 1, 2, 3, 5, 8-11, 14, 15, 18, 19, 22
2.3 1 (1)-(c), 2-6, 8-10, 12, 15, 21
3.1 1-5, 9, 10, 14, 15
3.2 1 (a), (c), (e), 2, 3, 4, 7, 8, 9, 10, 12
3.3 1, 5, 6, 7, 8, 9, 10, 11, 12
3.4 1-4, 6, 8-11, 13
4.1 1,2,5,6,9,10
4.2 1,2,3,8
4.3 1,5,7,8,9,16
5.4 1, 3, 6, 7, 8, 9, 10, 12 - 16
6.1 1, 2, 3, 4, 9, 11, 12, 13
6.2 1, 2, 5, 6, 8, 9, 10, 11, 13, 14
7.1 3, 4, 5, 7, 9, 10, 11, 14, 16

 


Instructions for Computer Write-ups:

Click here for a sample computer write-up

 

Announcements

FINAL EXAM
11:30-2:00 pm, December 3

Class attendance, preparation, and participation are required. Students having difficulties should seek assistance from the instructor. Students are encouraged to work together on problems that will not be graded. Students are expected to be honest and ethical at all times.

Some useful sites you may find interesting


A Practical Introduction to Matlab

Some disasters attributable to bad numerical computing

An interactive module for scientific computing

Some Interesting Matrices

Internships and Fellowships in Computational Science and Engineering

Using numerical linear algebra to identify important jurisprudence

Using numerical linear algebra to rank web pages (Page Rank)