blue line  M442:Numerical Solution of Differential Equationsblue 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 M442 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 
 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: (select topics from the chapters listed below)

  1. Chapter 4: Interpolation and Numerical Differentiation

  2. Chapter 5: Numerical Integration

  3. Chapter 7: Initial Value Problems

  4. Chapter 11: Boundary Value Problems

  5. Chapter 12: Partial Differential Equations

 

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

In class I may cover the topics in a manner different from the textbook.

 

blue line 

 

Matlab code for M442:

 

interp.m

phi.m

  Code to interpolate data X with functions phi(x,n)  
  ld.m  Code declaring cardinal polynomials as a function ld(i,x,X), where X=data x values  
  cardinal.m  Code for polynomial interpolation using cardinal polynomials in ld.m  
       

 

Matlab code for M441:

  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
12

 13
Classes start		 14 15

 16 17 18
 
19
  		20
MLK Day		 21 22

 23
24

 25
 
26
  		27 28 29 30 31 1
 
2 3 4
 5 6
7

 8
9
  		10

11
12
 13

 14

 15
16
 
17
Pres. Day
 18 19

 20 21 22
 
23
 
24
 25 26

 27 28

 29
 
1 2
 3
 4 5 6 7
 
8
  		9

 10
11
 12

 13 14
 
15
  		16
Spring Break
 17
Spring Break		 18
Spring Break		 19
Spring Break		 20
Spring Break		 21
 
22
  		23 24

25

 26
NCUR
27
NCUR
 28
 
29
  		30 31

 1

 2
3
 4
5
  		6 7 8

 9

10
Univer. Day

 11
 
12
  		13

 14
15
 16
17

 18
19 20 21 22
  		23

 24

 25
26 27 28
29
30
 1 Classes End 2
3 4 Final
12-2pm
 5
6  
 
7 
8
9

 

Learing outcome Numerical integration, numerical solutions of initial and boundary value problems in ordinary differential equations. Numerical solutions of partial differential equations.
 blue line