Assignments

Remember that part of the 40% of the mark is reserved for reports, homework, and activity. Here are a few guidelines to help you earn the maximum credit allotted to homework by submitting the assignments.  The bare minimum to get the mark is to submit a basic solution to the given problem. To earn more marks you have to distinguish yourself relative to your classmates, e.g. you can hand in your work sooner than others, you can add and elaborate on the solution and explore aspects not covered in the original statement of the problem. By not submitting the assignments, or by delaying submission excessively, you forfeit the right to the mark of the assignment!

Assignment #1
Date posted: 27-March-2005, Date due: 6-April-2005

Write a Mathematica programme that that calculates volume density ρ of a homogeneous sample, then compares that value with three standards and determines the substance of the sample. You are given a sample, whose mass is 12.1914 kg, and volume is 0.9 liter. Using your programme, identify the substance of the sample given the following standards:

ρ_H2O = 1000. kg/m³, ρ_Hg = 13546. kg/m³, ρ_H2 = 76. kg/m³.

In your solution, you should:

• Use Microsoft Visio to produce a flowchart for your intended algorithm.

• Write an appropriate pseudo-code implementation.

• Write a working Mathematica implementation that you will use to identify the unknown material.
   

Assignment #2
Date posted: 17-March-2005, Date due: 24-April-2005

Using the fixed-point method, solve the following equations:

• (x^-1)-1=e^x

• x⁴-x-1=0

Repeat the solution, once using NSolve[], and another time using FindRoot[]. Use NSolve[] only for the second equation.

Assignment #3
Date posted: 12-May-2005, Date due: 19-May-2005

Solve assignment #2 from last year's work.

View model solution for the problem: Click here