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.
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.