blue line  M441:Numerical Linear Algebra and Optimizationblue line

 

Instructor Mark Pernarowski 
Textbook Numerical Mathematics and Computing, 7th edition
  Cheney and Kincaid
Office Hours Schedule (Wil 2-236)
Phone 994-5356
Classroom Wil 1-144   

2d graph

 

 Grading: The course % for M441 is
 determined by:

   Midterm       M            100 
   Final         F            100
   Homework      HW           200
  _______________________________
                              400 

         % = (M+F+HW)/4

 The final is not comprehensive
 and both the final and midterm
 are take home exams.

 Homework and exam due dates will
 be announced in class and posted
 here at a later date. Exam content
 will be announced in class.

 Midterm and Final due dates and
 details will be announced in
 class.
 
 Homework: Assigned homework and some 
 solutions will be posted below as the 
 course develops.

 Homework scores will vary depending
 on their length and difficulty.
 The raw scores will be summed, 
 and converted into a % to yield
 the 200 points in the final grade.

Computing: Some assignemnts will
 require the use of matlab. As students,
 you are entitled to free use of
 this software. You will either
download it to your computer or
 may use it on campus computers
 in the library where it is installed.

Handouts: PDF handouts will either
be emailed to you or handed out in
class (hardcopy)



blue line

      Rough Syllabus:

  1. Chapter 1: Mathematics Preliminaries and Floating-Point Representation

  2. Chapter 3: Nonlinear Equations/Taylor series

  3. Chapter 2: Linear Systems

  4. Chapter 8: More on Linear Systems

  5. Chapter 9: Least Squares Methods and Fourier Series

  6. Chapter 13: Minimization of functions

 

Attendance in class is paramount to knowing which subtopics of each chapter will be covered!

 I may add more detail here as the course develops.

blue line 

Matlab code:

  Df_procedure.m  secant approximation for derivative of sin(x)  
  Df.m  Df_procedure declared as a function  
  Horner.m  Method for fast polynomial evaluation  
  f.m  a function for Bisect.m  
  g.m  a different function for Bisect.m  
  Bisect.m  Bisection Method  
  BisectF.m  Bisection Method: fancy version  
  f.m a function for Newton.m  
  df.m the derivative of f(x) in f.m  
  Newton.m Newton's method  
  NewtonPlot.m plots tangent lines in Newton method.  
  Secant.m Secant Method  
  GaussNaive.m Gauss step by step solver  
  Elementary.m Elementary matrices and LU decomp. Needs this too: Elem.m  
  phi.m Power Method Selector function  
  Power.m Power method example  
  Iterate.m Richardson, Jacobi, Gaus-Seidel, SOR iterative methods  

 


 

blue line

Matlab links:

          getting matlab

 a link to downloading matlab on MSU campus. You will need

  
  intro  of campus link with simple introduction to syntax in matlab  
  mathworks  company that develops and maintains matlab  

 

 To download/install/use matlab you'll need your first.last@ecat1.montana.edu campus email.

 


blue line

 

Schedule HW due dates and Exam Due dates will be posted here as the course develops
                   
 Sunday Monday Tuesday Wed Thursday Friday Saturday
25              
26
27
28
29
30
 31
1
 		 2
Labor Day
3
4
5
HW1 due
6    
 7
 
8
 
9
10
 11

 12

 13

 14
 
15
 		 16

 17
HW 2 due		 18
19
 20  

 21
 
22
 
23
24
 25

 26

 27

 28
 
29
30
1
HW 3 due
 2
3
4
 5
 
6
 
7
 8

 9
10
11  
 12
 
13
 		 14

 15
16
 17
HW4 due
18
 19
 
20
 
21
22
 23
24
 25   26
 
27
 		 28

 29
Midterm
 30

 31

 1

 2
 
3
 
4
 5

 6
7
 8

 9
 
10
 		 11
Vetran's Day
 12
13
14
 15     

 16
 
17
 
18
19
 20
21
 22  
 23
 
24
 
25
26     
27
Thanksgiving
28
Thanksgiving
 29
Thanksgiving
 30
1
2
3
 4
 
5
 6
Last Class
 7
8
9
 
10
 11
12
 13
 14

 

 

 

Learing outcome
 blue line