Spring 2012 Course
Syllabus: Math
340-002
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Course
Title: |
Applied Numerical Methods |
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Textbook: |
Elementary Numerical Analysis (3rd
Ed) K. Atkinson & W. Han, J Weiley and Sons (2003) ISBN-10:
0471433373; ISBN-13: 978-0471433378 |
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Prerequisites: |
(Math 211 or Math 213) and (CS 101, CS 113, CS 115 or Math 240) with
a grade of C or higher |
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Website: |
http://web.njit.edu/~matveev/Courses/M340_S12/ |
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Course Outline |
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Lecture |
Sections |
Topic |
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1 (1-19) |
1.1-1.2 |
Taylor Polynomial, Errors in Taylor Polynomials |
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2 (1-23) |
1.2-1.3 |
Evaluating Polynomials |
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3 (1-25) |
2.1 |
Floating Point Numbers |
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4 (1-30) |
2.2 |
Errors |
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5 (2-2) |
2.3-2.4 |
Errors (Continued) |
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6 (2-6) |
3.1-3.2 |
Root Finding: Bisection Method and Newton’s Method |
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7 (2-9) |
3.3 |
Secant method |
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8 (2-12) |
3.4 |
Fixed Point Iteration |
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9 (2-16) |
3.5 |
Ill-behaved Rootfinding Problems |
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10 (2-20) |
Exam Review |
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11 (2-23) |
Midterm
Examination |
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12 (2-27) |
4.1 |
Interpolation: Polynomial Interpolation |
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13 (3-1) |
4.2 |
Polynomial Interpolation |
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14 (3-5) |
4.3 |
Spline Interpolation |
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15 (3-8) |
5.1 |
Numerical Integration: Trapezoidal & Simpson’s Rule |
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March 11-18
Spring Break |
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16 (3-19) |
5.2 |
Error Formulas |
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17 (3-22) |
5.3 |
Gaussian Quadrature |
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18 (3-26) |
5.4 |
Numerical Differentiation |
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19 (3-29) |
Chapter 6 |
Linear Algebra |
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20 (4-2) |
Exam Review |
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21 (4-5) |
Midterm
Examination |
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22 (4-9) |
8.1 |
Review of Ordinary Differential Equations |
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23 (4-12) |
8.2 |
Euler’s Method |
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24 (4-16) |
8.3 |
Convergence Theory |
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25 (4-19) |
8.4 |
Stability & Implicit methods |
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26 (4-23) |
8.5 |
Taylor and Runge-Kutta Methods |
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27 (4-26) |
8.7 |
Systems of Differential Equations |
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28 (4-30) |
Final Exam
Review |
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IMPORTANT DATES |
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FIRST DAY OF SEMESTER |
January 17, 2012 |
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MIDTERM EXAMS |
February 23, April 5 |
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LAST DAY TO WITHDRAW |
March 20, 2012 |
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LAST DAY OF CLASSES |
May 1, 2012 |
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FINAL EXAM PERIOD |
May 3-9, 2012 |
Grading Policy
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Assignment Weighting |
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Tentative Grading Scale |
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HW & Quizzes |
18 % |
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A |
88 -- 100 |
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Midterm exams |
18 % each |
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B+ |
82 -- 87 |
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Lab Projects |
18 % |
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B |
75 – 81 |
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Final Exam |
28 % |
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C+ |
68 – 74 |
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C |
62 – 67 |
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D |
55 – 61 |
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F |
0 – 54 |
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Course Policies
Email: it is important that you regularly check your NJIT email account for class assignments and announcements from your instructor. Rutgers students should email the instructor their preferred email address at the start of the semester.
Homework and Quizzes: Homework problem sets will be emailed by the instructor after each class. Homework is due on the assigned date; late homework is not accepted. Quizzes are given about once per week on an announced topic.
MATLAB Laboratory Assignments: these assignments will be sent each week few days before the Lab class.
Attendance: attendance in this class is mandatory. Students accumulating more than three absences will have their grade reduced.
Important Departmental and University Policies