Teaching Responsibility
LJMU Schools involved in Delivery:
LJMU Partner Taught
Learning Methods
Lecture
Practical
Tutorial
Module Offerings
4600ICBTEG-AUG-PAR
4600ICBTEG-SEP-PAR
4600ICBTEG-SEP_NS-PAR
Aims
This module will provide the analytical knowledge and techniques needed to carry out a range of engineering tasks and will provide a base for further study of engineering mathematics.
Learning Outcomes
1.
Apply the principles of calculus to solve engineering problems in various contexts
2.
Investigate and solve a variety of differential equations relevant to different engineering disciplines
3.
Use partial derivatives to understand and solve multivariable engineering problems in specific contexts
4.
Use complex numbers to represent and manipulate engineering quantities
Module Content
Outline Syllabus:
1. Applications of derivatives-Maximum and Minimum values
2. Applications of Integration
3. Partial differentiation
4. Ordinary differential equations
5. First order differential equations
6. Second order differential equations
7. Complex numbers
1. Applications of derivatives-Maximum and Minimum values
- Differentiation
- Greatest and least values
- Local minima, maxima and points of inflection
- First derivative test and applications
- Second derivative test and applications
2. Applications of Integration
- Integration
- Plane areas
- Volume of a solid revolution
- Arc length and surface area
3. Partial differentiation
- Functions of several variables
- Partial derivatives
- Differentials and small errors
4. Ordinary differential equations
- Introduction
- Solution of ODE
- Simple numerical solutions for first order ODEs
- Graphical solutions
5. First order differential equations
- Integrating factor method
- Separation of variables
- Exact and linear equations
6. Second order differential equations
- Introduction
- Complementary functions
- Particular integral
- General and particular solutions
7. Complex numbers
- Representation of complex numbers
- Arithmetic of complex numbers
- Region in the complex plane
- De Moivre’s theorem
Module Overview:
This module develops your knowledge and understanding of the mathematics underpinning engineering. It develops your ability to apply these techniques within an engineering context. Laboratory sessions enable you to use and apply mathematical software to the solution of engineering mathematics problems.
This module develops your knowledge and understanding of the mathematics underpinning engineering. It develops your ability to apply these techniques within an engineering context. Laboratory sessions enable you to use and apply mathematical software to the solution of engineering mathematics problems.
Additional Information:
Students will be supported in their learning, to achieve the above learning outcomes, in the following ways: By a series of lectures and tutorials sessions for problem solving.
Self-managed investigative study to analyze cases related to engineering problems in various contexts
Students will be supported in their learning, to achieve the above learning outcomes, in the following ways: By a series of lectures and tutorials sessions for problem solving.
Self-managed investigative study to analyze cases related to engineering problems in various contexts