Undergraduate Course: Accelerated Proofs and Problem Solving (MATH08071)
|School||School of Mathematics
||College||College of Science and Engineering
||Availability||Not available to visiting students
|Credit level (Normal year taken)||SCQF Level 8 (Year 2 Undergraduate)
|Home subject area||Mathematics
||Other subject area||None
||Taught in Gaelic?||No
|Course description||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.
Entry Requirements (not applicable to Visiting Students)
||Other requirements|| None
|Additional Costs|| None
Course Delivery Information
|Delivery period: 2013/14 Semester 1, Not available to visiting students (SS1)
||Learn enabled: Yes
|Course Start Date
|Breakdown of 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
Students must pass exam and course overall.
|Breakdown of Assessment Methods (Further Info)
|Main Exam Diet S1 (December)||MATH08071 Accelerated Proofs and Problem Solving||3:00|
Summary of Intended 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.
|See 'Breakdown of Assessment Methods' and 'Additional Notes' above.|
||- 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
||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.
|Course organiser||Dr Ivan Cheltsov
Tel: (0131 6)50 5060
|Course secretary||Mr Martin Delaney
Tel: (0131 6)50 6427
© Copyright 2013 The University of Edinburgh - 10 October 2013 4:51 am