This course introduces students to discrete mathematics and logic and aims to further develop students numerical skills, preparing them for the Discrete Mathematics course taught in Year3/S5 of the BIT program.

Topics include the difference between discrete and continuous data, number representation, sets and relations, functions, matrices and its applications, induction, mathematical logic and Boolean algebra.

Learning Objectives

On completion of this course, students will be expected to be able to:

• understand the basic concepts in the binary number system;
• do conversions from decimal to binary systems;
• do calculations in the binary number system;
• understand the basic concepts and solve problems in set theory;
• make use of Venn diagrams to solve problems;
• use counting techniques in the context of finite sets;
• use logical expressions, including examples involving everyday English sentences as well as the more formal mathematical approach used in prepositional and predicate logic;
• make use of connectives and truth tables to solve problems;
• make use of the laws of logic to solve problems;
• Make use of mathematical induction as a proof technique in mathematical proofs.

• Homework - 1 Bases and Number Representation.
• Homework - 2 Sets and relations.
• Homework - 3 Functions
• Homework - 4 Matrices
• Homework - 5 Logic
• Homework - 6 Boolean-Algebra.
• Homework - 7 Induction

You can teach a student a lesson for a day; but if you can teach him to learn by creating curiosity, he will continue the learning process as long as he lives.

Not all exam papers are available online; please ask your lecturer for copies of papers that are not available here

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There is no end to education. It is not that you read a book, pass an examination, and finish with education. The whole of life, from the moment you are born to the moment you die, is a process of learning.

Rustaq is an area of healing warm springs, the most notable being Ain al Kasafa. Its waters runs at 45°C and are regarded as a cure for rheumatism and skin diseases due to its sulphur content.
There are three popular wadis to visit: Wadi Bani Ghafar; Wadi al Sahtan and Wadi Bani Auf. In addition, the mountains are pitted with caves such as Al Sanaqha Cave with its own subterranean springs.