Lab 8:
Linear/nonlinear regressions and least-squares
(Chapter 14-15)
BME 113L: Introduction to Numerical Methods in
Biomedical Engineering
Spring, 2015
Continued from Lecture
Nonlinear Relationships
Lab 5: Gauss Elimination
(Chapter 8-9)
BME 113L Introduction to Numerical Methods
in Biomedical Engineering
2015 Spring
1
Representing linear algebraic
equations in Matrix Form
Step 1.
%Find out the s
L5: Linear Algebra, Matrices, Gauss Elimination
(Chapters 8 & 9)
BME 113L
Introduction to Numerical Methods in BME
Nina K. Telang
Department of BME and ECE
University of Texas at Austin
[email protected]
Lab3: Roots Bracketing Methods
(Chapter 5)
BME 113L Introduction to Numerical Methods
in Biomedical Engineering
2014 Spring
1
How to generate movies?
Key commands:
VideoWriter
getframe
movie
clear all
Lab4:
Roots: Open Methods
(Chapter 6)
BME 113L: Introduction to Numerical Methods
in Biomedical Engineering
Spring, 2015
Newton-Raphson Method
Based on forming the tangent line to the f(x)
curve at s
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Midterm 2 Review
BME 113L
Introduction to Numerical Methods in
BME
Gauss-Seidel Method
The Gauss-Seidel method is the most commonly used
iterative method for solving linear algebraic equations [A]
cf
Midterm Exam 2
Date: March 31, 2014
BME 113L: Introduction to Numerical Methods in Biomedical Engineering
Instructor: Dr. Tim Yeh
Department of Biomedical Engineering
Code of Honor Statement
I have ne
BME 113L Exam 1 Summary
True error: deviation of an approximation from the actual value
Et = True value - approximation
Et
True value
100% is a fractional true error
Approximate error: difference in t
Midterm_1 Review
BME 113L Introduction to Numerical Methods in
Biomedical Engineering
2015 Spring
1
Tips for BME 113L Exam 1
The time is limited
Your goal is to get points as much as possible not to f
Midterm Exam 1
Date: Feb. 17, 2014
BME 113L: Introduction to Numerical Methods in Biomedical Engineering
Dr. Tim Yeh
Department of Biomedical Engineering
Code of Honor Statement
I have neither given n
Mid term exam #2
Date: April 1, 2013
BME 113L: Introduction to Numerical Methods in Biomedical Engineering
Prof. Stanislav Emelianov
Code of Honor Statement
I have neither given nor received aid on th
Mid term exam #1
Date: February 18, 2013
BME 113L: Introduction to Numerical Methods in Biomedical Engineering
Prof. Stanislav Emelianov
Department of Biomedical Engineering
Code of Honor Statement
I
L5: Linear Algebra, Matrices, Gauss Elimination
(Chapters 8 & 9)
BME 113L
Introduction to Numerical Methods in BME
Tim Yeh
Department of Biomedical Engineering
University of Texas at Austin
[email protected]
Lab 10:
Numerical Integration (Chapter 19-20)
BME 113L: Introduction to Numerical Methods in
Biomedical Engineering
Spring, 2015
Single and composite trapezoidal rule
Single
Composite
2
1/3 and 3/8 Si
Lab 9: Polynomial Interpolation
(Chapter 17)
BME 113L Introduction to Numerical Methods
in Biomedical Engineering
2015 Spring
1
MATLAB Functions
MATLAB has a built-in function polyfit that fits
a leas
L4: Roots Open Methods
(Chapter 6)
BME 113L
Introduction to Numerical Methods in BME
Nina K. Telang
Department of BME and ECE
University of Texas at Austin
[email protected]
Roots
Roots
Graphical
L9: Polynomial Interpolation (Chapter 17)
BME 113L
Introduction to Numerical Methods in BME
Nina K. Telang
Department of BME and ECE
University of Texas at Austin
[email protected]
Polynomial
Inte
Midterm Exam 3
Date: May 4, 2015
BME 113L: Introduction to Numerical Methods in Biomedical Engineering
Dr. Tim Yeh
Department of Biomedical Engineering
Code of Honor Statement
I have neither given nor
L6: Iterative Methods (Chapter 12)
BME 113L
Introduction to Numerical Methods in BME
Nina K. Telang
Department of BME and ECE
University of Texas at Austin
[email protected]
Iterative
Methods
Iter
L8: Regression (Chapters 14 and 15)
BME 113L
Introduction to Numerical Methods in BME
Nina Telang
Department of BME and ECE
University of Texas at Austin
[email protected]
Curve Fitting:
Regressio
L2B: Roundoff and Truncation Errors
(Chapter 4)
BME 113L
Introduction to Numerical Methods in BME
Nina Telang
Department of BME and ECE
University of Texas at Austin
[email protected]
Round-off an
L12: Review
BME 113L
Introduction to Numerical Methods in BME
Nina K. Telang
Department of BME and ECE
University of Texas at Austin
[email protected]
Plan for Today
1. Midterm 3 review
2. Lab 11
L2A: Mathematical Modeling (Chapter 1)
BME 113L
Introduction to Numerical Methods in BME
Nina Telang
Department of BME and ECE
University of Texas at Austin
[email protected]
1
Mathematical
Model
111Equation Chapter 1 Section 1Midterm
Exam 2
Date: Apr 6, 2015
BME 113L: Introduction to Numerical Methods in Biomedical Engineering
Dr. Tim Yeh
Department of Biomedical Engineering
Code of Honor Sta
111Equation Chapter 1 Section 1Midterm
Exam 1
Date: Feb. 23, 2015
BME 113L: Introduction to Numerical Methods in Biomedical Engineering
Dr. Tim Yeh
Department of Biomedical Engineering
Code of Honor S
L7: Eigenvalues (Chapter 13)
BME 113L
Introduction to Numerical Methods in BME
Nina Telang
Department of BME and ECE
University of Texas at Austin
[email protected]
1
Eigenvalues
Eigenvalues
Math
CE 3173 TEST #1 September 16, 2016
Last Name: 5 D [U 7"1 01 g2 First Name:
FORM C
1. (25%) The VBA code is to generate 50 values, each of which, when rounded to two significant
digits, would become 2.
CE 3173 Test #3 October 26, 2016
Last Name: SO/U 1 (Q! g%[ First Name:
FORM A
#1. (25%) Write VBA linear spline code that will work for any dataset having 2 or more points. The first
line is provided,
TEST #2 October 7, 2016
CE3173
p012 AA A K
Last Name: .5 a (Jim ?4 First Name:
1. (15%) Complete the following V A code that can be used to apply the Euler method to solve
an ODE. The user provides de
VBA Code Practice
30% of Exam 4 will be writing VBA code as in Learning Goals 8.5, 8.8, 8.12, 8.13, 8.15, and 8.16. Below are
some practice exercises. NOTE: Symbols in gray may be changed for the actu