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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 |
| |
