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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2017/2018

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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Accelerated Proofs and Problem Solving (MATH08071)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 8 (Year 2 Undergraduate) AvailabilityNot available to visiting students
SCQF Credits10 ECTS Credits5
SummaryThis 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
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Co-requisites
Prohibited Combinations Students MUST NOT also be taking Proofs and Problem Solving (MATH08059)
Other requirements None
Course Delivery Information
Academic year 2017/18, 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 Solving2:00
Resit Exam Diet (August)Accelerated Proofs and Problem Solving2:00
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, 4th Ed. 201, CRC Press, 29.99, on which the course will be based. (3rd Ed. will also be acceptable).
Additional Information
Graduate Attributes and Skills Not entered
KeywordsAPPS
Contacts
Course organiserDr Richard Gratwick
Tel: (0131 6)51 3411
Email: R.Gratwick@ed.ac.uk
Course secretaryMr Martin Delaney
Tel: (0131 6)50 6427
Email: Martin.Delaney@ed.ac.uk
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