Undergraduate Course: Applicable Mathematics 1 (Foundation) (MATH08028)
Course Outline
| School |
School of Mathematics |
College |
College of Science and Engineering |
| Course type |
Standard |
Availability |
Available to all students |
| Credit level (Normal year taken) |
SCQF Level 8 (Year 1 Undergraduate) |
Credits |
10 |
| Home subject area |
Mathematics |
Other subject area |
Other Non-Specialist courses (School of Maths) |
| Course website |
https://info.maths.ed.ac.uk/teaching.html
|
Taught in Gaelic? |
No |
| Course description |
Basic rules of algebra; numbers and errors. Sequences and series; permutations and combinations, Binomial theorem. Polynomials and their roots, partial fractions. Basic vector algebra; scalar product and geometry. Complex numbers: cartesian, polar form and de Moivre's theorem. |
Information for Visiting Students
| Pre-requisites |
None |
| Displayed in Visiting Students Prospectus? |
Yes |
Course Delivery Information
|
| Delivery period: 2010/11 Semester 2, Available to all students (SV1)
|
WebCT enabled: Yes |
Quota: None |
| Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| Central | Lecture | | 1-11 | 17:10 - 18:00 | | | | | | Central | Lecture | | 1-11 | | | | 17:10 - 18:00 | | | Central | Lecture | | 1-11 | | | 17:10 - 18:00 | | |
| First Class |
Week 1, Monday, 17:10 - 18:00, Zone: Central. Appleton Tower, M2 B |
| Additional information |
Alternate Th |
| Exam Information |
| Exam Diet |
Paper Name |
Hours:Minutes |
Stationery Requirements |
Comments |
| Main Exam Diet S2 (April/May) | | 1:30 | None. No YAF. | c/w U01678 | | Resit Exam Diet (August) | | 1:30 | None. No YAF. | c/w U01678 |
Summary of Intended Learning Outcomes
Revision of basic arithmetic and algebra
1. Ability to manipulate numbers and symbols
2. Ability to round numbers and calculate decimal places and significant figures
3. Ability to sum arithmetic and geometric series
4. Ability to enumerate permutations and combinations and evaluate binomial coefficients
5. Ability to expand expressions using the binomial theorem
6. Ability to complete the square for quadratics and to solve quadratic equations
7. Ability to factor polynomials with integer roots
8. Ability to divide polynomials and construct partial fractions, graphing the result
Vectors
1. Understanding position and free vectors
2. Ability to distinguish between directed line segments and vectors
3. Ability to compute the dot product, compute angles and recognise orthogonality
4. Ability to resolve vectors
5. Ability to perform simple geometrical analyses
Complex numbers
1. Ability to perform simple arithmetic in cartesian form, including calculation of conjugate and modulus
2. Ability to represent complex numbers on an Argand Diagram
3. Ability to represent simple straight lines and circles in complex number notation
4. Ability to calculate with the polar form
5. Ability to use de Moivre's Theorem to calculate powers
6. Ability to use Euler's formula to find simple roots and fractional powers
|
Assessment Information
Coursework: 15%
Degree Examination: 85% |
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Not entered |
| Transferable skills |
Not entered |
| Reading list |
Not entered |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords |
af1 |
Contacts
| Course organiser |
Dr Lois Rollings
Tel: (0131 6)50 5052
Email: L.Rollings@ed.ac.uk |
Course secretary |
Mrs Karen Downie
Tel: (0131 6)50 5793
Email: K.Downie@ed.ac.uk |
|
copyright 2011 The University of Edinburgh -
13 January 2011 6:19 am
|
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