Teaching Responsibility
LJMU Schools involved in Delivery:
Engineering
Learning Methods
Lecture
Tutorial
Module Offerings
4302MECH-JAN-CTY
Aims
To provide a foundation in engineering mathematics for its application to the solution of engineering problems. This module is a continuation from 4301MECH - Engineering Mathematics 1a.
Learning Outcomes
1.
Use vectors and matrices in the solution of engineering problems.
2.
Apply techniques of integration or differentiation in the solution of engineering problems.
3.
Solve first order ordinary differential equations by the method of separation of variables and apply to the modelling of engineering problems.
4.
Use and apply mathematical software to the solution of engineering problems.
Module Content
Outline Syllabus:
Introduction of the use of a computer algebra system (for example MATLAB or similar). Use of the software applied to the syllabus items below. Basic vector algebra including Cartesian components and products. Differentiation of vectors. Applications. 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, numerical integration. Applications of integration. Ordinary differential equations. First order linear, constant coefficient equations. Separation of variables. Application to modelling.
Introduction of the use of a computer algebra system (for example MATLAB or similar). Use of the software applied to the syllabus items below. Basic vector algebra including Cartesian components and products. Differentiation of vectors. Applications. 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, numerical integration. Applications of integration. Ordinary differential equations. First order linear, constant coefficient equations. Separation of variables. Application to modelling.
Module Overview:
This module provides a foundation in engineering mathematics for its application to the solution of engineering problems. It is a continuation of Engineering Mathematics 1a.
This module provides a foundation in engineering mathematics for its application to the solution of engineering problems. It is a continuation of Engineering Mathematics 1a.
Additional Information:
This module provides a foundation in engineering mathematics for level 4 students in mechanical and electrical engineering to enable them to apply this to the solution of engineering problems.
This module provides a foundation in engineering mathematics for level 4 students in mechanical and electrical engineering to enable them to apply this to the solution of engineering problems.