Undergraduate Course: Discrete Mathematics and Mathematical Reasoning (INFR08023)
Course Outline
| School | School of Informatics |
College | College of Science and Engineering |
| Course type | Standard |
Availability | Available to all students |
| Credit level (Normal year taken) | SCQF Level 8 (Year 2 Undergraduate) |
Credits | 20 |
| Home subject area | Informatics |
Other subject area | None |
| Course website |
http://www.inf.ed.ac.uk/teaching/courses/dmmr/ |
Taught in Gaelic? | No |
| Course description | Discrete mathematics and formal mathematical reasoning. |
Information for Visiting Students
| Pre-requisites | None |
| Displayed in Visiting Students Prospectus? | Yes |
Course Delivery Information
| Not being delivered |
Summary of Intended Learning Outcomes
- Reason mathematically about basic (discrete) structures (such as numbers, sets, graphs, and trees)used in computer science.
- Use of mathematical and logical notation to define and formally reason about mathematical concepts such as sets, relations, functions, and integers, and discrete structures like trees, graphs, and partial orders;
- Evaluate elementary mathematical arguments and identify fallacious reasoning
- Construct inductive hypothesis and carry out simple induction proofs;
- Use graph theoretic models and data structures to model and solve some basic problems in Informatics (e.g., network connectivity, etc.)
- Prove elementary arithmetic and algebraic properties of the integers, and modular arithmetic, explain some of their basic applications in Informatics, e.g., to cryptography.
- Compare the asymptotic growth growth rates of basic functions; derive asymptotic bounds, and limits, for simple series and recurrence relations. Use these to derive bounds on the resource consumption (e.g., running time) of simple iterative and recursive algorithms.
- Calculate the number of possible outcomes of elementary combinatorial processes such as permutations and combinations.
- Be able to construct discrete probability distributions based on simple combinatorial processes, and to calculate the probabilities and expectations of simple events under such discrete distributions. |
Assessment Information
Written Examination: 85%
Assessed Assignments: 15% |
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
1) Foundations (Chapters 1 & 2 of [Rosen])
2) Basic number systems, and rudimentary algorithms on numbers and matrices (Chapter 3, [Rosen])
3) Induction and Recursion (Chapter 4 [Rosen])
4) Basic Counting (Chapter 5 [Rosen])
5) Graphs (and binary relations): [Chapter 9, and parts of Chapter 8]]
6) Trees: (Chapter 10 [Rosen])
7) Discrete probability [Chapter 6, plus some supplementary material] |
| Transferable skills |
Not entered |
| Reading list |
REQUIRED TEXTBOOK:
* Kenneth Rosen, Discrete Mathematics and its Applications, 7th Edition, McGraw-Hill, (due to be published in July), 2012. Alternatively, 6th Edition, 2007.
Additional Reference Material:
* MIT Mathematics for Computer Science Lecture notes (online) |
| Study Abroad |
Not entered |
| Study Pattern |
Lectures 30
Tutorials 10
Timetabled Laboratories 0
Coursework Assessed for Credit 40
Other Coursework / Private Study 120
Total 200 |
| Keywords | Not entered |
Contacts
| Course organiser | Prof Colin Stirling
Tel: (0131 6)50 5186
Email: |
Course secretary | Ms Kendal Reid
Tel: (0131 6)50 5194
Email: |
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