MFA501 Mathematical Foundations of AI- Domain And Range
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MFA501 Mathematical Foundations of AI
Task
Summary
In this assessment, you will be given a wide range of programming exercises to complete, which require using and applying mathematical concepts. These will be submitted in Module 6 (20%) and in Module 10 (20%). This assessment is to be completed individually and you are to submit a zip file including source code, debug, and release build and supporting documents for each problem set.
Context
This assessment activity assesses your skills in employing AI mathematical foundation to solve realworld problems and scenarios. The assessment is made of two parts due in modules 6 and 10 over the course of trimester.
1. Choose two of these programming exercises:
- Write a program to find the Eigenvalues of a n-by-n matrix. (bonus mark for the case that you can make it work for any nϵN; if you can’t simplify it for n=2,3,4)
- Write a program to calculate Integral of a function. (bonus mark for the case that you can make it work for most functions; if you can’t simplify the function to be polynomial)
- Write a program that gets two sets and draws Venn diagram of those sets (their intersection and union).
- Write a program to decide if a relation is a function or not and if it is a function, find its domain and range.
2. Choose two of these programming exercises:
Refer to this paper: https://research.ijcaonline.org/volume92/number3/pxc389495 5.pdf
And write a program that calculates the gradient for RRBF_type1 or RRBF_type2 (choose the one which you prefer).
Write a program to determine if a set of randomly produced data has a normal distribution or not (You can produce 1000 data points randomly and run your code on it).
Write a program that displays the behaviour of these two functions in the interval of [-1,1] (analyse their behaviour as x and y approach zero);
Write a programme based on a recursive function to calculate the determinant of an nxn matrix
MFA501 Mathematical Foundations of AI
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