Programme/Approved Electives for 2021/22
Available as a Free Standing Elective
This module is intended to help students with the transition from the methods based approach of A level to the higher levels of understanding and rigour expected at degree level. The module will develop students'┐ skills in many key mathematical techniques. The applications of these techniques to real-world┐ problems will be highlighted where appropriate.
Talis Aspire Reading ListAny reading lists will be provided by the start of the course.http://lists.lib.keele.ac.uk/modules/mat-10046/lists
This module aims to provide students with a solid foundation in Calculus at degree level and equip them with a knowledge of the necessary methods and techniques in applied mathematics for further study beyond FHEQ Level 4.
Intended Learning Outcomes
use relevant methods and results from the module to solve problems and communicate their solutions accurately and reliably with structured and coherent arguments: 1,3recognise and solve a variety of first and second order ordinary differential equations using appropriate methods: 4,6expand a given function into a series and use this to find approximate values of the function: 6use mathematical techniques in differentiation and integration, and for finding the limits of sequences and series: 2,3,6calculate partial derivatives and find local maxima/minima┐ of a function of more than one variable: 5,6
72 hours lectures24 hours examples classes180 hours private study2 hour unseen examination2 hour class test20 hour in-semester assessments
1: Assignment weighted 10%
Description of Module Assessment
AssignmentA take-home assignment.
Students are expected to spend 10 hours in preparation and fulfilling this assignment.2: Coursework weighted 10%
CourseworkA set of questions will be provided to complete at home, aiming at methods of differential calculus.3: Class Test weighted 30%
2-hour Class testA 2-hour class test, summarising the material of Semester 1.4: Assignment weighted 10%
AssignmentA take-home assignment
Students should expect to spend 10 hours for preparation and fulfilling this assignment.5: Coursework weighted 10%
CourseworkA set of questions on differential calculus of multi-variable functions6: Unseen Exam weighted 30%
2-hour unseen exam2-hour unseen exam. The examination paper will consist of no less than five and not more than eight questions, all of which are compulsory.