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ME 2016 Schedule for Spring 2010

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Note:  The reading assignments refer to the textbook by Chapra and Canale.

Week

Date

Topic

Reading

1

1/11

 

Course overview and philosophy

 Chapter 1

1/13

 

Numerical errors: accuracy, precision, round-off errors

 Chapter 3

1/15

 

Floating point representation and computation

Assignment #0:  Tell us something about yourself

 Chapter 3

2

1/18

  MLK Day -- no class

1/20

 

Taylor series and truncation errors

 Chapter 4

1/22

 

Matlab Review: control structures and debugging

 Chapter 2

3

1/25

 

The theme of the assignments: the drive train of a car.

Assignment #1: Errors in Taylor Series and Floating Point Numbers

 Lecture Slides

1/27

 

Modeling in Engineering

 Chapter 1

1/29

 

Root Finding: Bisection and False-Position methods

 Section 5.1 - 5.3

4

2/1

 

Root Finding: Newton-Raphson method

Assignment #2: Modeling a Drivetrain of a Car.

 Sections 6.1 & 6.2

2/3

 

Root Finding: Comparison of Root Finding Methods

 Chapter 6

2/5

 

Root Finding: Implementing Bisection in Matlab

 

5

2/8

 

Problem Session

Assignment #3: Root-Finding Algorithms

 

2/10

 

TEST 1

 

2/12

 

Linear Equations: Gauss Elimination

 Sections 9.1 - 9.4

6

2/15

 

Linear Equations: Determining the computational complexity

 Section 9.2

2/17

 

Curve Fitting: Least Squares Regression

 Sections 17.1 & 17.2

2/19

 

Curve Fitting: General Linear Least Squares

Assignment #4: Root Finding -- Finding Optimal Shift Velocities

 Section 17.4

7

2/22

 

Curve Fitting: Cross validation & Discussion

 Lecture Notes

2/24

 

Curve Fitting: Problem Session

 

2/26

 

Interpolation: Linear and Spline interpolation

Assignment #5: Curve Fitting -- Creating an Engine Model

 Section 18.1

8

3/1

 

Interpolation: Problems & discussion

 

3/3

 

Problem Session

 

3/5

 

TEST 2

 

9

3/8

 

Numerical Integration: Newton-Cotes Formulas

 

3/10

 

Numerical Integration: Newton Cotes Continued

 Sections 21.1 - 21.3

3/12

 

Numerical Integration: implementation in Matlab

 Sections 21.1 - 21.3

10

3/15

 

Numerical Integration: Problem Session

 

3/17

 

Ordinary Differential Equations: Euler's Method

 Section 25.1

3/19

 

ODEs: Euler's Method Continued

Assignment #6: Numerical Integration -- Computing the Fuel Consumption

 Sections 25.1 & 25.2

11

3/22

 

Spring Break


3/24

 

Spring Break


3/26

 

Spring Break


12

3/29

 

ODEs: Runge Kutta Methods

 Section 25.3

3/31

 

ODEs: Systems of ODEs

  Section 25.4

4/2

 

ODEs: Problems & Discussion

 Lecture Slides

13

4/5

 

Problem Session

 

4/7

  TEST 3


4/9

 

Optimization: Golden Section Search

 Section 13.1

14

4/12

 

Optimization: Multidimensional Optimization Methods

 Sections 14.1 & 14.2

4/14

  Optimization: Constrained Optimization Methods

 Lecture Notes

4/16

 

Optimization: The Role and Limitations of Optimization in Engineering

Assignment #7: ODEs -- Simulating a Car

 Lecture Notes

15

4/19

 

Signal Processing: sampling

 Lecture Notes

4/21

 

Signal Processing: filtering example

 Lecture Notes

4/23

 

Signal Processing: Fourier Series and Transform

Assignment #8: Optimization -- Tuning your Drivetrain

 Sections 19.1 & 19.2

16

4/26

 

Review and Problem Session

 

4/28

 

Review and Problem Session

 

4/30

 

Review and Problem Session

 

17

5/3

 

FINAL EXAM
from 11:30AM to 2:20PM

 

Created by cparedis
Last modified 01/18/2010 11:43 AM
 
 

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