Individual Coursework Feedback

Thanks all for your efforts in doing the individual coursework!

You can find the solution here.

The performance was really good, below are some summary statistics of your marks:

• mean: 77.55
• standard deviation: 13.6
• min: 2.00
• 25th percentile: 71.00
• 50th percentile: 78.00
• 75th percentile: 85.00
• max: 100.00

Here is a plot of the distribution of the marks:

Here is a detailed summary of the various things I checked for for each question as well as the percentage of students who were correct:

• Q1a correct value: 96.31 %
• Q1 a use st correlation: 99.08 %
• Q1b correct value: 96.31 %
• Q1 b use st correlation: 99.08 %
• Q1 c correct value: 96.31 %
• Q1 c use st correlation: 99.08 %
• Q1 d correct value: 96.31 %
• Q1 d use st correlation: 99.08 %
• Q1 e correct value: 96.31 %
• Q1 e use st correlation: 99.08 %
• Q2 a use integrate: 96.77 %
• Q2 a correct value: 77.42 %
• Q2 a correct derivative: 83.87 %
• Q2 b use integrate: 97.24 %
• Q2 b correct value: 77.88 %
• Q2 b correct derivative: 83.87 %
• Q3 a correct approach: 82.49 %
• Q3 a correct answer: 41.94 %
• Q3 b correct approach: 80.65 %
• Q3 b correct answer: 100.00 %
• Q4 a create equations: 96.77 %
• Q4 a use dsolve: 90.78 %
• Q4 a correct solution to system of differential equations: 35.02 %
• Q4 b correct use of ics: 94.01 %
• Q4 b correct solution to system of differential equations: 9.68 %
• Q4 c correct value of t: 5.99 %
• Q4 c correct value of winner: 37.33 %

Overall performance was good and the main area of difficulty was question 4. A number of students did not use exact numbers for the constants which implied that the equations were not exact solutions to the differential equation. This question was marked generously and a lot of partial credit given.

A less common mistake but one that happened more than once in question 3 was to compute permutations instead of combinations.