Teaching Responsibility
LJMU Schools involved in Delivery:
LJMU Partner Taught
Learning Methods
Lecture
Module Offerings
4316CIT-SEP-PAR
Aims
To provide a foundation in engineering mathematics for its application to the solution of engineering problems
Learning Outcomes
1.
Understand matrices in the solution of engineering problems and matrices.
2.
Perform techniques in differentiation to the solution of engineering problems.
3.
Perform techniques in integration to the solution of engineering problems.
4.
Perform the techniques of numerical integration to obtain approximations to integration of engineering problems.
5.
Perform Newton's method to obtain approximations to equations of engineering problems.
Module Content
Outline Syllabus:Introduction of the use of a computer algebra system e.g. MATLAB. Use of the software applied to the syllabus items below
Basic matrix manipulation including the inverse matrix. Solution of systems of linear equations.
Differential calculus of one variable: Gradient of curve, derivatives of standard functions, linearity, derivatives of composite functions, products and quotients. Applications. Stationary points. Rates of change.
Integral calculus as inverse of differentiation and as a limit of a sum. Standard integrals, linearity, integration of composite functions. Other methods of integration. Numerical integration.
Ordinary differential equations. First order linear, constant coefficient equations.
Separation of variables. Application to modelling.
Basic convex optimisation theorem including how to prove convex function with or without some constraints.
Introduction to use of fmincon in Matlab to obtain the optimal solution to engineering problems.
Module Overview:
To provide a foundation in engineering mathematics for its application to the solution of engineering problems The module introduces students Engineering Mathematics of Mathematical Physics, and demonstrate the utility and limitations of a variety of powerful calculational techniques and to provide a deeper understanding of the mathematics underpinning theoretical physics.
To provide a foundation in engineering mathematics for its application to the solution of engineering problems The module introduces students Engineering Mathematics of Mathematical Physics, and demonstrate the utility and limitations of a variety of powerful calculational techniques and to provide a deeper understanding of the mathematics underpinning theoretical physics.
Additional Information:The module introduces students Engineering Mathematics of Mathematical Physics, and demonstrate the utility and limitations of a variety of powerful calculational techniques and to provide a deeper understanding of the mathematics underpinning theoretical physics.
Examinations are 2 hour duration.