Undergraduate Course: Engineering Mathematics 1b (MATH08075)
|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 in calculus for Engineering students and follows on naturally from MATH08074 Engineering Mathematics 1a.
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 course on calculus for Engineering students and includes the following syllabus:
AP's, GP's, limits, power series, radius of convergence.
Basic differentiation: rate of change, simple derivatives, rules of differentiation, maxima/minima.
Derivatives of powers, polynomials, rational functions, circular functions. Chain rule. Differentiation
of exponential and related functions, differentiation of inverse functions.
Parametric and implicit differentiation, higher derivatives.
Partial differentiation, directional derivatives, chain rule, total derivative, exact differentials.
L'Hopital's rule. Taylor's Theorem and related results. Maclaurin series.
Basic integration: anti-derivatives, definite and indefinite integrals, methods of substitution and
integration by parts.
Fundamental Theorem of Calculus.
Area, arc-length, volume, mean values, rms values and other applications of integration.
Differential equations. General and particular solutions, boundary values.
Separable differential equations. First order linear differential equations with constant coefficients.
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 3-9.
Basic mathematical skills will be developed using on-line quizzes and end of week e-assessments.
Mathematical writing skills will be developed in five written assessments.
Accreditation of Higher Education Programmes Learning Outcomes
Course Delivery Information
|Academic year 2019/20, 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)
||On-line assessments: 10%, Written Mathematics Assignments: 10%,
Students must pass exam and course overall.
Students repeating the course will be assessed as 100% exam only.
||There will be five opportunities for feedback on written skills. Each lecture is accompanied by an on-line quiz which will provide instant feedback on basic skills.
||Hours & Minutes
|Main Exam Diet S2 (April/May)||3:00|
|Resit Exam Diet (August)||3:00|
On completion of this course, the student will be able to:
- Solve a variety of problems involving limits of sequences, series and functions.
- Compute derivatives, partial derivatives, higher derivatives and integrals of a variety of functions.
- Use calculus to compute extrema and arc length of functions, areas and volumes of surfaces of revolution, mean values and Taylor approximations of functions.
- Solve separable first and second order ordinary differential equations with boundary or initial conditions and simple inhomogeneous terms.
|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 gain key skills in calculus appropriate to degrees in Engineering.
||Only available to students for whom it is a compulsory part of their curriculum.
|Keywords||EM1b,Sequences,series,power series,differentiation,integration,differential equations
|Course organiser||Dr David Quinn
|Course secretary||Mrs Frances Reid
Tel: (0131 6)50 4883