Computational Mathmatics

Abdulmalek

ITSU2011Assignment1S220211.pdf

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ITSU2011 Computational Mathematics

Assignment 1

The purpose of project is to assess students on the following Learning Outcomes:

LO No Learning Outcome AQF 7 Mapping

K S A

LO 2 Evaluate and construct elementary mathematical

arguments and synthesize induction hypotheses, direct

proofs, proofs by contradiction, and proofs by

mathematical induction.

x x x

LO 3 Apply basic logic to the analysis of digital logic circuits,

predicate logic to statements and arguments, and rules of

inference to analyse arguments.

x x x

* K= Knowledge S= Skills A= Application of Knowledge & Skills

Weightage: 15%

Project Submission deadline: Session 6

Marking guide:

Note: This Marking Scheme is used as a guide only to the final grade, and rubric will be created upon.

Task

Level of Performance

Not at

all

Just

attempted

Barely

met

Fairly

met

Just

met

Expectation

met

Question 1

Question 2

Question 3

Question 4

Total: /20 marks

To be scaled to 15 marks

Total: /15 marks

READ THE FOLLOWING GUIDELINES CAREFULLY AND UNDERSTAND ALL

REQUIREMENTS BEFORE STARTING THIS PROJECT

Project Submission

Your submission will contain a Word document.

1) A word document (PDF will not be accepted) with solutions.

Name (1) as ID_Fname and submit via LMS.

Please be clear that the unit coordinator will not be responsible for a student who is unable to

submit successfully working copies of files in their submission. The student will have no further

chance to submit files or receive any remarking if this is the case. Make sure you have fully

tested your application before zipping and submitting. Your submission will be unzipped and

placed into the marker’s folder directory for marking, so keep this in mind.

Computational Mathematics Assignment 1

Q1) Make a truth table for the statement ¬P∧(Q→P). What can you conclude about P and Q if you know the statement is true?

[5 marks]

Q2) Proof by induction that ∑ 𝑥3𝑥1 = 𝑥2(𝑥+1)2

4 .

[5 marks]

Q3) Proof by contradiction that √13 is irrational.

[5 marks]

Q4) There are AND, OR, NOT, NAND and NOR gates applied in logical circuits. You are

required to explore each one of them by producing a TRUTH table and symbol for each gate.

Note, two inputs in a truth table are sufficient (not two rows).

[5 marks]