Applied Mathematics 1

This module provides a grounding in mathematics for a wide range of students undertaking Mathematics, Science and Engineering programmes. 

Topics traditionally covered in Higher and Advanced Higher Mathematics are reviewed, extended, and deepened. An introduction to statistics is presented to provide connectivity with its use later in the range of programmes. Topics include: 

• Algebra: An overview of algebra required for synthesis in more detailed problems, including properties of standard functions (polynomial, rational, exponential, trigonometric, etc.) and solving equations using these functions; partial fraction expansion of rational functions. 
• Vectors: The concept of two and three-dimensional vectors. Vector algebra and some common applications. 
• Complex Numbers: The concept of a complex number in both rectangular and polar forms. Operations on complex numbers in both forms. 
• Matrices: The concept of a matrix as a useful mathematical storage device. Matrix operations and application to the solution of systems of linear equations. 
• Differential Calculus: The idea of the derivative as a measure of rate of change. Standard derivatives, leading to their synthesis in the product, chain, and quotient rules. Applications of differentiation, including the use of higher derivatives.
• Integral Calculus: The idea of the indefinite integral as the reverse of differentiation, and the definite integral via calculation of area. Standard integrals, leading to their synthesis in integration by parts, by substitution, and with the use of partial fractions. Common applications of integration in the context of physical applications. 
• Statistics: Diagrammatic and descriptive statistics (including a treatment of the various measures of central tendency and spread).

At the end of this module the student will be able to:

• Obtain solutions to a range of algebraic problems including those involving complex numbers, matrices, and vectors.
• Obtain solutions to a range of problems in differential calculus.
• Obtain solutions to a range of problems in integral calculus.
• Perform suitable statistical analysis in a range of problems.

 

This is an SCQF Level 7 module and upon successful completion, participants will be awarded 20 credits.

 

Delivery 

The module will be offered on Paisley campus, details to be confirmed.

 

Pre-requisites

Higher Mathematics, or equivalent. 

 

Course presenter

This module will be delivered by Dr Alan Walker.

 

Funding

This course may be available on a fully funded basis to some delegates.  Further details, including regarding eligibility, are available under Funding Support.

If you have any questions, please contact us at cpd@uws.ac.uk. 

 

NOTE: This is a university module and upon approval of your application, you will be invited to register and then supported to complete enrolment. To enrol on the university system, the first step involves security set-up using the Microsoft Authenticator app; you will need to ensure that you have a compatible smartphone.

Further information is available at the Student Information Portal.

To access this module via the CPD route, individuals should be ordinarily resident in Scotland.  If you do not meet this criteria, please enquire here.