Unit 23 Mathematics for Software Development

Unit 23 Mathematics for Software Development

LO1: Understand core mathematical skills for software engineers

A.1 Solve the following linear and quadratic equations:

A.2 Solve the following sets of simultaneous equations by

(a) algebraic method

(b) graphical method.

A.3 Find the volume of the following shapes to three significant figures by showing your work step by step

A.4 Using Pythagoras' theorem, proof that triangle ?ABC (9:12:15) is a right-angled triangle

A.5 Two robots, Alice and Bob are pulling a box as shown on the figure:

LO2: Understand the application of algebraic concepts

B.1 A certain British company has three departments. Following sets are showing departments, surnames and annual salaries of employees of this company:

B.2 A small ICT firm, has three branches in

B3. Create a magic square by identifying values of p, q, r, s, t, u, x, y, z in matrix A. [P2.2]

B4. Show that if

LO3: Be able to apply the fundamentals of formal methods

C1. Suppose that two sets are A and B, defined by

C2. Suppose we have a universal set

C3. For all of the following sets defined in set-theoretic notation, list out all of the elements:

C4. For the circuit shown below, construct a truth table for each intermediate function. Hence, find the output function X.

C5. Suppose that a salesman has 4 differently-located customers.

LO4: Be able to apply statistical techniques to analyse data

D1. A research in 157 households found taht teh number of children per househols is

D2. A company has ten sales territories with approximately the same number of sales people working in each territory. Last month the sales orders achieved were as follows:

D3. Identify a topic in one of the following areas and conduct a research on its application in software development.

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