Teaching Responsibility

LJMU Schools involved in Delivery:

Computer Science and Mathematics

Learning Methods

Lecture

Practical

Tutorial

Module Offerings

4111MATHS-SEP-CTY

Aims

To introduce the student to fundamentals of algebra and functions which will be built upon in mathematical methods in Semester 2 and complements applications in modelling 2

Learning Outcomes

1.
Understand the basic theory of functions
2.
Use function notation: recognise standard forms of functions and sketch, plot and interpret their output
3.
Handle elementary series and series approximations to functions
4.
Use relevant computer software as appropriate to solve problems and investigate fundamental mathematical concepts
5.
Perform elementary vector algebra
6.
Perform calculations in complex arithmetic

Module Content

Outline Syllabus:Introduction to theory of functions Functions - straight line - quadratics, cubics - Polynomials: finding roots, remainder theorem - Trigonometric functions: sine, cosine, tangent sec, cosec, cot - Inverse trigonometric functions - Exponential, logarithmic - Hyperbolic functions: cosh, sinh - complex numbers Binomial expansions Series: arithmetic, geometric Vectors
Module Overview:
The aim of this module is to introduce you to fundamentals of algebra and functions which will be built upon throughout the year.
Additional Information:This is an integrative module to give students proficiency and confidence in the use of fundamental mathematical concepts. The module sets the foundation for relating defined mathematical concepts to areas of mathematical sciences and has a focus on problem solving.

Assessments

Portfolio

Report