Foundations of Mathematics 2

Cod y Modiwl: MA03610
Teitl y Modiwl: Foundations of Mathematics 2
Blwyddyn Academaidd: 2027/2028
Semester: Semester 2
Cyd-gysylltydd y Modiwl: Dr Daniel Peck
Rhestr Ddarllen: Gweld ar Aspire
Rhagofynion: MA02610
Anghymharus (Unrhyw Flwyddyn Acad)
Staff Eraill sy'n Cyfrannu: Dr Daniel Peck

Dulliau Asesu

Math o Asesiad	Manylion Asesiad	Cyfran
Asesiad Semester	Problem sheets:	20%
Arholiad Semester	Written Examination: 2 Awr	80%
Asesiad Ailsefyll	Supplementary Assessment.: Blackboard Test.	20%
Arholiad Ailsefyll	Supplementary Written Examination: 2 Awr	80%

Canlyniadau Dysgu

Wedi cwblhau'r modiwl dylai'r myfyrwyr fedru:

Perform basic matrix algebra, compute the determinant and inverse of a matrix.
Solve simultaneous linear equations
Integrate simple polynomial, rational and exponential functions; apply the result to the area under a curve,
Solve first-order ordinary differential equations

Disgrifiad cryno

This module continues the thread of MA02610 to introduce basic matrix techniques, integration and differential equations.

Nod

To introduce further fundamental techniques required in later courses.

Cynnwys

1. MATRIX ALGEBRA. Basic operations; transpose and determinant; matrix inverse; solving linear equations; transformation of vectors.
2. INTEGRATION. Integration of simple power and exponential functions. Substitution method; definite integrals; integration by parts; applications.
3. DIFFERENTIAL EQUATIONS. Concepts; first order solution methods, direct integration, separation of variables.

Sgiliau Modiwl

Math o Sgiliau	Manylion Sgiliau
Cyfathrebu	Written answers to exercises must be clear and well structured.
Datblygu personol a chynllunio gyrfa	Completion of task (assignments) to set deadlines will aid personal development.
Datrys Problemau	The assignments will give the students opportunities to show creativity in finding solutions and develop their problem solving skills.
Gwaith Tim	Students will be encouraged to work together on questions during problem classes.
Gwella dysgu a pherfformiad ei hun	Students are expected to develop their own approach to time-management regarding the completion of assignments on time and preparation between lectures.
Rhifedd	Required throughout the course.
Sgiliau pwnc penodol	Broadens exposure of students to topics in mathematics
Sgiliau ymchwil	N/A
Technoleg Gwybodaeth	Use of Blackboard.

Nodau

Mae'r modiwl hwn yn cydymffurfio a FfCChC Lefel 3