Undergraduate Course: Accelerated Proofs and Problem Solving (MATH08071)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Credit level (Normal year taken) | SCQF Level 8 (Year 2 Undergraduate) |
Availability | Not available to visiting students |
| SCQF Credits | 10 |
ECTS Credits | 5 |
| Summary | This course is an accelerated version of 'Proofs and Problem Solving' course, intended principally for students on the accelerated programme (direct entry to year 2) and students on combined degrees who cannot take that course in their first year. The syllabus is similar to that for 'Proofs and Problem Solving', but some topics less essential to further study are omitted or treated more quickly. |
| Course description |
- Sets and proofs
- Numbers and decimals
- Inequalities,
- Polynomial equations
- Induction
- Introduction to Analysis
- The integers, primes and factorization
- Congruence of integers
- Counting and choosing
- More on sets
- Equivalence relations
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Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
|
Co-requisites | |
| Prohibited Combinations | |
Other requirements | None |
Course Delivery Information
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| Academic year 2015/16, Not available to visiting students (SS1)
|
Quota: None |
| Course Start |
Semester 1 |
Timetable |
Timetable |
| Learning and Teaching activities (Further Info) |
Total Hours:
100
(
Lecture Hours 22,
Seminar/Tutorial Hours 11,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
63 )
|
| Additional Information (Learning and Teaching) |
Students must pass exam and course overall.
|
| Assessment (Further Info) |
Written Exam
85 %,
Coursework
15 %,
Practical Exam
0 %
|
| Additional Information (Assessment) |
Coursework 15%, Examination 85% |
| Feedback |
Not entered |
| Exam Information |
| Exam Diet |
Paper Name |
Hours & Minutes |
|
| Main Exam Diet S1 (December) | MATH08071 Accelerated Proofs and Problem Solving | 2:00 | | | Resit Exam Diet (August) | Accelerated Proofs and Problem Solving | 2:00 | |
Learning Outcomes
- Appreciation of the axiomatic method and an understanding of terms such as 'Definition', 'Theorem' and 'Proof'.
- The ability to read and understand Pure Mathematics written at undergraduate level, including 'Definitions', 'Theorems' and 'Proofs'.
- The ability to write clear meaningful mathematics using appropriate terms and notation.
- The ability critically to analyse elementary Pure Mathematics presented or written by oneself or others.
- An improved facility in solving both standard problems and 'unseen' problems on the material of the course.
- Familiarity with the fundamental ingredients of sets and functions between sets.
- Familiarity with the basic properties of number systems.
- Familiarity with other material that may be presented to illustrate the principles of the course.
|
Reading List
Students will be assumed to have acquired their personal copy of
A Concise Introduction to Pure Mathematics, by Martin Liebeck, 3rd Ed. 2011, CRC Press, £25.99, on which the course will be based. |
Additional Information
| Graduate Attributes and Skills |
Not entered |
| Keywords | APPS |
Contacts
| Course organiser | Dr Ivan Cheltsov
Tel: (0131 6)50 5060
Email: |
Course secretary | Mr Martin Delaney
Tel: (0131 6)50 6427
Email: |
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