MAS250 Mathematics II (Materials)
|Semester 1, 2021/22||10 Credits|
|Lecturer:||Dr Nils Mole||Timetable||Reading List|
|Aims||Outcomes||Teaching Methods||Assessment||Full Syllabus|
This module is part of a series of second-level modules designed for the particular group of engineers shown in brackets in the module title. Each module consolidates previous mathematical knowledge and develops new mathematical techniques relevant to the particular engineering discipline.
Prerequisites: MAS153 (Mathematics (Materials))
No other modules have this module as a prerequisite.
- To consolidate previous mathematical knowledge.
- To continue introducing students to basic mathematical techniques used in the area of Engineering Materials.
- Partially differentiate functions of two variables and be able to apply the chain rule.
- Be able to apply simple statistical methods (including linear regression using least squares, and t and χ2 tests) to datasets.
- Understand and manipulate gradient, divergence, curl and Laplacian.
- Expand a function defined over a finite domain in a Fourier series.
- Solve simple partial differential equations e.g. Laplace's equation, wave equation and heat conduction equation.
Lectures, tutorials, independent study
36 lectures, 12 tutorials
One two-hour written examination for 80% of assessment.
Four marked homeworks for 20% of assessment.
Chain Rule for functions of two variables. Small increments. Concept of a partial differential equation. Statistical Methods
Moments, correlations. Linear regression. Tests (Student t, chi-squared). Basic Vector Calculus
Scalar and vector fields. Gradient, divergence, curl, Laplacian. Fourier Series
Periodic functions. Trigonometric series. Fourier coefficients. Examples. Even and odd functions. Cosine and sine series. Partial Differential Equations
Laplace’s equation. Wave equation. Heat conduction equation. Separation of variables. Boundary conditions. Examples.
|B||Kreyszig||Advanced Engineering Mathematics|
|B||O'Neill||Advanced Engineering Mathematics|
|B||Stroud||Engineering Mathematics||510.2462 (S)||Blackwells||Amazon|
(A = essential, B = recommended, C = background.)
Most books on reading lists should also be available from the Blackwells shop at Jessop West.