معلومات المقرر

This course introduces the foundational and advanced concepts of Discrete Mathematics, tailored for young adult learners in applied fields. It interweaves rigorous mathematical theory with real-world applications in logic circuits, computer systems, automata, and graph theory. Each lecture builds incrementally in complexity, from intuitive basics to high-level abstractions.

General Aims

• To provide students with a comprehensive understanding of discrete mathematical structures and logic.
• To develop mathematical maturity through conceptual depth and problem-solving.
• To demonstrate the application of discrete math in computing, digital design, and language representation.

Intended Learning Outcomes (ILOs)

Knowledge and Understanding
By the end of this course, students will be able to:

1. Relate the relationships between Boolean and Logical circuits.
2. Describe and define graph trees.
3. Identify graph trees in language representations.

Intellectual Skills
By the end of this course, students will be able to:

1. Analyse relationships between Boolean expressions and logic circuits.
2. Investigate tree structures and their properties.
3. Explore applications of trees in computational contexts.

Professional and Practical Skills
By the end of this course, students will be able to:

1. Construct and optimise logical circuits.
2. Employ various types of trees in system designs.
3. Apply graph-based logic to language and data representation.

General and Transferable Skills
By the end of this course, students will be able to:

1. Communicate abstract mathematical ideas clearly.
2. Estimate and assess graph structures in problem-solving.
3. Apply discrete concepts to real-world engineering tasks.