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BINF690 Numerical Methods in Bioformatics

Course syllabus:

• Description
• Schedule Fall 2009

Lecture 1, Aug 31, 2009

Numerical methods in science. Programming and implementation of numerical methods.

Homework

1. Read Chapters 1-3
2. Solve problem 1.15. In addition to solving this problem as it is stated in the book, you also need to
   1. Send me the plot V=V(t) and your code implementing Euler algorithm.
   2. Explain what will happen with the droplet at t>10 min.
   3. Obtain analytical solution and compare it with the numerical one.

Assignment (c) is optional, but I will give extra point if it is done correctly. The homework is due Sep 14.

Lecture 2, Sep 14, 2009

Taylor series and error propagation

Homework:

1. prove the expression for the error propagation for the function f(x,y)=x/y.
2. Solve problems 4.5 and 4.8
3. Read Chapter 4

Lecture 3, Sep 21, 2009

Roots of equations

Homework:

1. Solve problems 5.12 and 6.4
2. Read Chapters 5 and 6

Lecture 4, Sep 28, 2009

Linear algebraic equations

Homework:

1. Solve problem 9.9
2. Read Chapter 9

Lecture 5, Oct 5, 2009

Optimization

Homework:

1. Solve problem 14.8
2. Read Chapters 13 and 14