Undergraduate Course: Engineering Mathematics 1a (MATH08074)
Course Outline
School  School of Mathematics 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 8 (Year 1 Undergraduate) 
Availability  Not available to visiting students 
SCQF Credits  20 
ECTS Credits  10 
Summary  The course is a first university level course for Engineering students. It provides key basic mathematical skills and leads naturally to calculus in MATH08075 Engineering Mathematics 1b.
This course is restricted to students for whom it is a compulsory part of their Degree Programme. 
Course description 
This course will cover topics in a first university course in Mathematics but not including calculus and includes the following syllabus:
Inequalities, modulus and intervals, numbers and errors.
Functions, graphs, periodicity.
Polynomials, factorization, rational functions, partial fractions, curve sketching.
The circular, hyperbolic and logarithmic functions and their inverses.
Implicit functions, piecewise functions.
Complex numbers: Cartesian, polar form and de Moivre's theorem, polynomials and their roots;
connections with trigonometric and hyperbolic functions; the complex logarithm; loci.
Basic vector algebra; scalar product, vector product, triple product and geometry.
Matrices, inverses and determinants, linear equations and elimination.
Rank, eigenvalues, eigenvectors.
The course will consist of 3 lectures, 1 workshop delivered by the School of Mathematics each week. Additionally, there will be a lecture delivered by the School of Engineering in weeks 39.
Basic Mathematical skills will be developed using online quizzes and end of week eassessments. Mathematical writing skills will be tested in five written assignments.
Accreditation of Higher Education Programmes Learning Outcomes
Engineering: SM2m.

Course Delivery Information

Academic year 2019/20, Not available to visiting students (SS1)

Quota: 475 
Course Start 
Semester 1 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
200
(
Lecture Hours 33,
Seminar/Tutorial Hours 11,
Supervised Practical/Workshop/Studio Hours 9,
Summative Assessment Hours 3,
Programme Level Learning and Teaching Hours 4,
Directed Learning and Independent Learning Hours
140 )

Assessment (Further Info) 
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %

Additional Information (Assessment) 
Online assessments: 10%, Written Mathematics Assignments: 10%.
Examination: 80%.
Students must pass exam and course overall.
Students repeating the course will be assessed as 100% exam only. 
Feedback 
There will be five opportunities for feedback on written skills. Each lecture is accompanied by an online quiz which will provide instant feedback on basic skills. 
Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S1 (December)   3:00   Resit Exam Diet (August)   3:00  
Learning Outcomes
On completion of this course, the student will be able to:
 Have fluency in algebraic and numerical manipulations up to and including the Binomial Theorem as well as manipulating expressions involving polynomials, rational functions, trigonometric and hyperbolic trigonometric functions.
 Manipulate vectors and matrices up to and including eigenvectors.
 Fluently manipulate complex numbers and find powers and roots of complex numbers.
 Find the appropriate tools to use to solve problems involving one or more areas of the syllabus.

Reading List
Students will require a copy of the course textbook. This is currently "Engineering Mathematics" by Glyn James ISBN:9781784499846. This special edition is available only from Blackwell's bookshop at South Bridge, Edinburgh. 
Additional Information
Graduate Attributes and Skills 
Students will have key skills in basic algebra, functions, vectors, matrices and complex numbers. 
Special Arrangements 
Only available to students for whom it is a compulsory part of their curriculum. 
Keywords  EM1a,algebra,polynomials,functions,complex numbers,vectors,matrices. 
Contacts
Course organiser  Dr David Quinn
Tel:
Email: D.Quinn@ed.ac.uk 
Course secretary  Mrs Frances Reid
Tel: (0131 6)50 4883
Email: f.c.reid@ed.ac.uk 

