WEEK09
July 5 and July 7th

This page contains lectures, examples and assignments for the class "Introduction to Scientific Programming".

Lectures:

• Lecture #16, "Solving an Equation"
• Lecture #17, "The Secant and Newton Methods"

Examples:

• bisect1.cpp, a simple function for carrying out the bisection method.
• bisect1_f1.cpp, a program which includes BISECT1 and F1, and seeks a solution of F1(X) = 0.
• bisect2.cpp, a function for carrying out the bisection method.
• bisect2_f1f2f3.cpp, a program which includes BISECT2 and the functions F1, F2, and F3, and seeks solutions of F1(X) = 0, F2(X) = 0, F3(X) = 0.
• bracket.cpp, a function which evaluates f(x) interactively, and can be helpful in searching for brackets for a solution.
• f1.cpp, a function which evaluates f1(x) = cos(x)-x.
• fp1.cpp, a function which evaluates fp1(x) = -sin(x)-1, the derivative of f1(x).
• f2.cpp, a function which evaluates f2(x), the satellite function.
• f3.cpp, a function which evaluates f3(x), the pole function.
• f4.cpp, a function which evaluates f4(x), the frozen pipe function.
• f5.cpp, a function which evaluates f5(x), the water tank function.
• f6.cpp, a function related to Lambert's equation.
• f7.cpp, a function with a hill that can confuse the secant method.
• newton.cpp, a simple function for carrying out Newton's method.
• newton_f1.cpp, a program which includes NEWTON and F1 and FP1, and seeks a solution of F1(X) = 0.
• secant.cpp, a simple function for carrying out the secant method.
• secant_f1.cpp, a program which includes SECANT and F1, and seeks a solution of F1(X) = 0.

Assignments:

• In class exercise #8, on Tuesday: solve Lambert's equation.
• Program Homework #6 is due on Thursday. Please mail your program and output to Detelina.
• Program Homework #7, to be assigned on Thursday, will be due on July 14th.

Final Projects:

• projects.pdf, the requirements for the final project, and some suggestions as to topics you may choose to work on.
• By Tuesday, July 12th, you must submit a one page project proposal or ask me to help you choose a topic.

You can go up one level to the ISC course page.