Introduction to Mathematical Methods 2

Cod y Modiwl: PH06520
Teitl y Modiwl: Introduction to Mathematical Methods 2
Blwyddyn Academaidd: 2027/2028
Semester: Semester 2
Cyd-gysylltydd y Modiwl: Dr Balazs Pinter
Rhestr Ddarllen: Gweld ar Aspire
Rhagofynion: GCSE Maths or equivalent
Cyd-Ofynion: PH06020
Anghymharus (Unrhyw Flwyddyn Acad): Not available to students on a 3-year Bachelor's or on an Integrated Master's scheme
Staff Eraill sy'n Cyfrannu: Dr Tom Knight; Dr Balazs Pinter

Dulliau Asesu

Math o Asesiad	Manylion Asesiad	Cyfran
Asesiad Semester	Weekly course work:	30%
Arholiad Semester	End of semester examination: 3 Awr	70%
Arholiad Ailsefyll	Supplementary Examination: 3 Awr written examination	100%

Canlyniadau Dysgu

Wedi cwblhau'r modiwl dylai'r myfyrwyr fedru:

1. Evaluate basic integrals and derivatives.
2. Construct the gradient of a curve y(x)
3. Calculate arithmetic and geometric series
4. Apply the binomial theorem.
5. Recognise and manipulate with matrices and determinants.

Disgrifiad cryno

This second module on theoretical methods introduces the student to more of the basic mathematical tools commonly used in the physical sciences,and develops some of the topics used in the first module. Topics covered include differentiation techniques and applications, integration and some of its applications to physics and rate of change problems, sequences, series and matrices. Particular emphasis is placed on the use of matematical techniques to solve physical problems.

Cynnwys

Differentiation techniques: Standard derivatives, function of a function, products and quotients, logarithmic differentiation, differentiation of implicit and parametric functions.

Applications of differentiation: Small increments and rate of change problems.

Integration techniques: Indefinite integration, integration as summation, definite integration, standard integrals, integration by substitution and by parts. Use of partial fractions.

Applications of Integration: Area under curves, volumes of revolution.

Sequences and series: Arithmetic and geometric series. Binomial theorem.

Introduction to matrices and determinants.

Sgiliau Modiwl

Math o Sgiliau	Manylion Sgiliau
Cyfathrebu proffesiynol	Presentation of the work by students in coursework and the semester examination develop written communication skills.
Datrys Problemau Creadigol	Problem solving skills are developed throughout the module and assessed in coursework and the semester examination.
Sgiliau Pwnc-benodol	Understanding and application of mathematical techniques are essential to solve problems in the physical sciences.

Nodau

Mae'r modiwl hwn yn cydymffurfio a FfCChC Lefel 3