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Unformatted text preview: MA2213 Lecture 1 Rootfinding Class Schedule ectures: Tuesday 24 in LT31 (building S16) roups: Class will be divided into 5 groups ach group (of about 25 students) will: do tutorials and labs together Friday 24 in LT31 (building S16) e assigned a person who will supervise both tutorials and labs, and grade written homework utorials: will meet in weeks 3,5,7,9,11 abs: will meet in weeks 4,6,8,10,12 (more information will be announced soon) Suggestions o: Attend lectures, tutorials, and labs Use the Module IVLE Website Purchase the required textbook Study the textbook and work problems Complete assigned homework and give to your grader during tutorials and labs o Not: Send or give me assigned homework Email me questions whose answers are on the Module IVLE Website Objectives and Prerequisites earn Numerical Methods Accuracy and Errors Computer Algorithms (MATLAB) rerequisites alculus Real Numbers and Complex Numbers Fundamental Theorem of Algebra Fundamental Theorems of Calculus Linear Equations: Geometry and Matrix Algebra inear Algebra Vector Spaces and Linear Transformations Required Textbook Elementary Numerical Methods by Atkinson and Han About 20 books are now in the Science COOP (due to limited shelve space) but more books will be transferred from the warehouse) Homework (Tutorial and Lab) may be assigned from this textbook Suggested Reading from this textbook Appendix A&B Math Rev, D MATLAB Lecture Schedule Dates ecture # Topic 1 Rootfinding 14, 17 Aug 2 Interpolation 21, 24 Aug 3 Approximation 28, 31 Aug 4 Numerical Integration 4, 7 Sept 5 Linear Equations (Direct) 11, 14 Sept 6 Linear Equations (Iterative) 18, 21 Sept Recess Week 2428 Sept Review and Midterm Test 2, 5 Oct Lecture Schedule Dates ecture # Topic 7 Eigenvalues 9, 12 Oct 8 Nonlinear Systems 16, 19 Oct 9 ODE (Explicit) 23, 26 Oct 10 ODE (Implicit) 30 Oct, 2 Nov 11 PDE 6, 9 Nov 12 Review 13, 16 Nov EXAM : Friday, 30 Nov 200 (MORNING) Retirement Planning (pages 7172) in P deposited at beginning of each of mount r in time periods. Interest is paid per period. nd of Period Amount of Money in the Account 1 in P r A ) 1 ( ) 1 ( + = in P r A r A ) 1 ( ) 1 ( ) 1 ( ) 2 ( + + + = 2 in in P r P r ) 1 ( ) 1 ( 2 + + + = 1 + in P r k A r k A ) 1 ( ) ( ) 1 ( ) 1 ( + + + = + Retirement Planning (pages 7172) pecifying and the value of in terms of the value of suffices to write computer program to compute ) 1 ( A A ) 1 ( + k A ) ( k A The figure shows that if you deposited $1000 monthy at r = 0.0025 you would have $584,194 after 30 years Retirement Planning (pages 7172) ere is the smallest MATLAB code required function A = amount(Pin,Nin,r) (1) = (1+r)*Pin; for k = 1:Nin1 A(k+1) = (1+r)*A(k) + (1+r)*Pin; nd ou would write and store it in a mfile amount.m nd then run it interactively using the commands: = amount(1000,360,0.0025) lot(A); grid; xlabel(‘End of Period (Month)’) label(‘Amount at end of Period’) Retirement Planning (pages 7172) ut your grader will demand documented code...
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This note was uploaded on 01/06/2012 for the course MA 2213 taught by Professor Michael during the Fall '07 term at National University of Singapore.
 Fall '07
 Michael
 Numerical Analysis

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