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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2014/2015
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DRPS : Course Catalogue : School of Social and Political Science : School (School of Social and Political Studies)

Undergraduate Course: Mathematics for Social Science (SSPS08009)

Course Outline
SchoolSchool of Social and Political Science CollegeCollege of Humanities and Social Science
Credit level (Normal year taken)SCQF Level 8 (Year 1 Undergraduate) AvailabilityNot available to visiting students
SCQF Credits20 ECTS Credits10
SummaryLaying Mathematical Foundations for Quantitative Methods

This course aims to provide students in the with Quantitative Methods programmes with the mathematical foundations, which will allow them to fully explore advanced methods, as well as gain a full understanding of the mathematic principles behind the basic methods. Throughout the course, the application of mathematics to social science research problems will be emphasised.
Course description Course Programme: Mathematics for Social Science

In the first part (weeks 1-5), the course will address linear relationships, integration and differential equations and least squares estimation of slope and intercept.

In the second part (weeks 6-8), the course looks beyond linearity to quadratic, exponential and logarithmic functions. This will include eigenvalues and eigenvectors, and principal components. The algebra of basic probability will be included here, laying the basis for dealing mathematically in later years of the programme with statistical distribution functions and with statistical inference.

In the third and final part (weeks 9-10), students will cover issues to do with curve sketching and analysis of residuals. They will also gain an understanding of the applications and relevance of the mathematical principles covered for future quantitative analysis methods and statistical inference.

Course Programme ¿ Overview
Part 1: Straight lines

Week 1
Introduction to Probability and Probability Distributions (AK)

Week 2
Gradients, equations and graphs of straight lines (VS)

Week 3
Tangent lines, differentiation (VS)

Week 4
Derivative functions, integration, (VS)

Week 5
Least squares estimation of slope and intercept (MT)

Part 2: Beyond linearity
Week 6
Graphs of quadratic functions, the solution of quadratic equations (AK)

Week 7
Exponential and logarithmic functions and common social science applications(VS)

Week 8
Eigenvalues and eigenvectors, and principal components (LP)

Part 3: Looking Ahead
Week 9
Curve sketching (MT)

Week 10
Summary and relevance for social sciences (VS)

Week 11
****NO SEMINAR ¿ Revision***
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Co-requisites
Prohibited Combinations Other requirements Higher/A Level Maths at B required.
Course Delivery Information
Academic year 2014/15, Not available to visiting students (SS1) Quota:  None
Course Start Semester 1
Timetable Timetable
Learning and Teaching activities (Further Info) Total Hours: 200 ( Lecture Hours 22, Seminar/Tutorial Hours 11, Programme Level Learning and Teaching Hours 4, Directed Learning and Independent Learning Hours 163 )
Assessment (Further Info) Written Exam 85 %, Coursework 15 %, Practical Exam 0 %
Additional Information (Assessment) 15% continuous assessment based on the best four out of five fortnightly tutorial assignments. This will constitute a formative feedback event. 85% written open-book two hour exam at the end of the course.
Feedback Not entered
Exam Information
Exam Diet Paper Name Hours & Minutes
Main Exam Diet S1 (December)2:00
Learning Outcomes
1. Social science problem solving with formal mathematic thinking
2.To have an understanding of the following topics
-Gradients, equations and graphs of straight lines
-Least squares estimation of slope and intercept
-Integration
-Differentiation
-Differential equations
-Calculus of more than one variable
-Vectors
-Matrices
-Graphs of quadratic functions, the solution of quadratic equations by computing the square and by the formula
-Exponential and logarithmic functions
-Radian measure and trigonometric functions
-Curve sketching
-Eigenvalues and eigenvectors
-Principal components
Reading List
Students will be invited to make use of both on-line resources and books.

http://www.socialsciences.manchester.ac.uk/subjects/economics/postgraduate-taught/pre-session-maths/

Croft, A. and Davison, R. 2006. Foundation Maths. 4th ed., Longman.

Haeussler, E.F., Paul, R.S. and Wood,R., 2014. Mathematical Analysis for Business, Economics and the Life and Social Sciences, 13th ed., Pearson
Additional Information
Graduate Attributes and Skills Not entered
KeywordsNot entered
Contacts
Course organiserDr Valeria Skafida
Tel: (0131 6)51 3215
Email: Valeria.Skafida@ed.ac.uk
Course secretaryMr Edwin Cruden
Tel: (0131 6)51 5197
Email: Edwin.Cruden@ed.ac.uk
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