Undergraduate Course: Engineering Mathematics 1a (MATH08074)
|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
|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.
This course will cover topics in a first university course in Mathematics but not including calculus and includes the following syllabus:
Functions, graphs, periodicity.
Inequalities, modulus and intervals.
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.
Basic vector algebra; scalar product, vector product, triple product and geometry.
Matrices, inverses and determinants, linear equations and elimination.
Rank, eigenvalues, eigenvectors.
Basic Mathematical skills will be developed using on-line quizzes and end of week e-assessments. Mathematical writing skills will be tested in written assignments.
Accreditation of Higher Education Programmes Learning Outcomes
Course Delivery Information
|Academic year 2020/21, Not available to visiting students (SS1)
|Learning and Teaching activities (Further Info)
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
|Assessment (Further Info)
|Additional Information (Assessment)
||Computer aided assessment: 25%. Written Mathematics and Matlab assignments: 25%. Examination: 50%.
Students repeating the course will be assessed as 100% exam only.
Students must pass exam and course overall.
||STACK questions (including practice) give feedback on submission. Written work will have written comments on return and solutions addressing common errors. Further feedback in workshop and peer discussions.
||Hours & Minutes
|Main Exam Diet S1 (December)|| ||3:00|
|Resit Exam Diet (August)||3:00|
On completion of this course, the student will be able to:
- Display fluency in algebraic and numerical manipulations of functions including polynomial, rational, trigonometric, exponential, and logarithmic
- Display fluency in manipulating vectors and matrices up to and including eigenvectors.
- Display fluency in manipulating complex numbers including finding powers and roots of complex numbers.
- Use Matlab to solve Engineering problems involving the mathematics covered in the course.
- Present clear written solutions to problems involving one or more areas of the syllabus.
|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.|
|Graduate Attributes and Skills
||Students will have key skills in basic algebra, functions, vectors, matrices and complex numbers.
||Only available to students for whom it is a compulsory part of their curriculum.
|Course organiser||Dr David Quinn
|Course secretary||Mrs Frances Reid
Tel: (0131 6)50 4883