INGE 4035; Numerical Methods for Engineers

Office S-510

Office Hours: 9:30am to 11:00am Mondays and Wednesdays

Tel.: 832-4040 Ext.: 2145

Send e-mail:

lorama@ieee.org

Announcements

  • Final Test is on may 18, at 7:30am, in S-203.
  • Check the sections and problems for the final below.

  • Keep coming to the page for the latest information on the class.

    Old Announcements

  • Computer Room Seminar (MATLAB), Thursday, Feb/5/2004, Room S-210, at 10:30am.
  • First test on March 18, 2004 at class time.
  • Homework II is due on March 25, 2004.

    Lecture 1

    Relative and Absolute Errors (Sec. 3.3)
  • Round-off and Truncation Errors (Sec. 3.4)
  • Internal representation of information and Machine errors (Prof. Notes)

    • Lecture 2

    The Taylor Series and the Truncation Error (Sec's. 4.1-4.3)

    Lecture 3

    The Taylor Series and the Truncation Error
  • Truncation Error Estimate

    • Numerical Diferentiation (introduction)

    Lecture 4

    Solution of Equations in One Variable
  • Bisection Method

    • Lecture 5

    Solution of Equations in One Variable
  • False Position Method
  • Open Methods-Newton/Raphson Method

    • Lecture 6

    Solution of Equations in One Variable
  • Open Methods-Secant Method
  • Multiple Roots-Modified Newton/Raphson

    • Lecture 7

    Solution of Equations in One Variable
  • Roots of Polynomials-Muller Method

    • Lecture 8

    Solution to Linear Algebraic Equations
  • Matrix Review

    • Lecture 9

    Solution to Linear Algebraic Equations
  • The Cramer's Rule
  • Naive Gauss Elimination Method

    • Lecture 10

    Solution to Linear Algebraic Equations
  • Gauss Elimination w/ Partial Pivoting

    • Lecture 11

    Solution to Linear Algebraic Equations
  • Systems w/ Complex Variables
  • Gauss-Jordan Method

    • Lecture 12

    Solution to Linear Algebraic Equations
  • LU Decomposition
  • Inverse of a Matrix Using LU

    • Sections that will be cover for the first test & sugested problems

  • Chapra: 3.3, 3.4, 4.1-4.3, 5.2, 5.3, 6.2, 6.3, 6.4, 7.2, 7.3, 9.1, 9.2, 9.3, 9.4, 9.7, 10.1

  • Practice Problems: 3.4, 3.6, 4.1, 4.2, 4.4, 4.5, 5.2, 5.5, 5.8, 6.2, 6.4, 6.6, 6.10, 7.3a, 7.4, 9.2, 9.6, 9.8, 9.9, 9.10, 10.3, 10.4

    • Lecture 13

    Solution to Linear Algebraic Equations
  • Matrix & Vector Norms
  • Matrix Condition Number

    • Lecture 14

    Solution to Linear Algebraic Equations
  • Jacobi Iterative Method
  • Gauss-Seidel Iterative Method

    • Lecture 15

    Solution to Non-Linear Algebraic Equations
  • Non-Linear Newton-Raphson

    • Lecture 16

    Interpolation Methods
  • Newton Divided Difference Formulas

    • Lecture 17

    Lecture 18

    Lecture 19

    Lecture 20

    Sections that will be cover for the second test

  • Chapra: 10.3, 11.2, 11.3.2, 6.5, 9.6, 18.1, ...

  • Practice Problems: 10.10, 10.12 w/MATLAB, 11.6, 11.7, 11.8, 6.11, 18.1, 18.2, 18.3, ...

    • Lecture 21

    Lecture 22

    Sections that will be cover for the final test

  • Chapra: 17.1, 21.1, 21.2, 25.1, 25.2, 25.3

  • Practice Problems: 17.4, 17.6, 21.8, 21.14, 21.16, 25.2, 25.3, 25.8,25.9,25.10

    • Questions and comments: lorama@ieee.org

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