Undergraduate Course: Accelerated Proofs and Problem Solving (MATH08071)
|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
|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.
- Sets and proofs
- Numbers and decimals
- Polynomial equations
- 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)
||Other requirements|| None
Course Delivery Information
|Academic year 2015/16, Not available to visiting students (SS1)
|Learning and Teaching activities (Further Info)
Lecture Hours 22,
Seminar/Tutorial Hours 11,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
|Additional Information (Learning and Teaching)
Students must pass exam and course overall.
|Assessment (Further Info)
|Additional Information (Assessment)
||Coursework 15%, Examination 85%
||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|
| - 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.
|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.
|Graduate Attributes and Skills
|Course organiser||Dr Ivan Cheltsov
Tel: (0131 6)50 5060
|Course secretary||Mr Martin Delaney
Tel: (0131 6)50 6427
© Copyright 2015 The University of Edinburgh - 18 January 2016 4:24 am