School of Computing and Mathematics

Faculty of Natural Sciences

For academic year: 2020/21 Last Updated: 30 May 2020

MAT-10046 - Calculus

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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.

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.

http://lists.lib.keele.ac.uk/modules/mat-10046/lists

use relevant methods and results from the module to solve problems and communicate their solutions accurately and reliably with structured and coherent arguments: 1,3,4

recognise and solve a variety of first and second order ordinary differential equations using appropriate methods: 2,3,4

expand a given function into a series and use this to find approximate values of the function: 2,3,4

use mathematical techniques in differentiation and integration, and for finding the limits of sequences and series: 1,2,3,4

calculate partial derivatives and find local maxima/minima¿ of a function of more than one variable: 2,3,4

recognise and solve a variety of first and second order ordinary differential equations using appropriate methods: 2,3,4

expand a given function into a series and use this to find approximate values of the function: 2,3,4

use mathematical techniques in differentiation and integration, and for finding the limits of sequences and series: 1,2,3,4

calculate partial derivatives and find local maxima/minima¿ of a function of more than one variable: 2,3,4

72 hours lectures

24 hours tutorial classes

192 hours private study

2 hour unseen examination

2 hour class test

8 hour Maple TA assessment

24 hours tutorial classes

192 hours private study

2 hour unseen examination

2 hour class test

8 hour Maple TA assessment

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Class Test

Unseen 2 hour class test set during module.

Maple TA assessments

Fortnightly equally weighted MapleTA computer-based assessments. The questions are randomised from a question pool and contain different numerical values, but all students must demonstrate the same outcomes. Students are permitted a maximum of three attempts at each assignment receiving feedback after each attempt. After attempt three or at the assignment deadline, the student's maximum score is recorded. Students should expect to spend 8 hours across the academic year on their Maple TA assignments.

Take-home assignments

Four equally weighted take-home, written assignments. Each assignment consists of a set of questions with pre-allocated space for written solutions. The assignments are set at regular intervals across the two semesters. Students should expect to spend 12 hours across the academic year on their assignments.

2-hour unseen examination

Unseen 2-hour end of module examination. The examination paper will consist of no less than five and not more than eight questions, all of which are compulsory.