ME 2016 Schedule for Spring 2010
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, roundoff 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 FalsePosition methods 
Section 5.1  5.3  
4 
2/1 
Root Finding: NewtonRaphson 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: RootFinding 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: NewtonCotes 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 
