This module introduces students to differential and integral calculus. Maple is used to explore the topics.
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1
Differentiate various functions and apply differentiation to tangents, rates of change, and optimisation.
LO2
Integrate functions using a table of standard integrals and by substitution.
LO3
Apply integration techniques to problems relevant to student discipline.
LO4
Formulate and solve simple ordinary differential equations.
LO5
Use computer software to explore calculus.
Pre-requisite learning
Module Recommendations
This is prior learning (or a practical skill) that is strongly recommended before enrolment in this module. You may enrol in this module if you have not acquired the recommended learning but you will have considerable difficulty in passing (i.e. achieving the learning outcomes of) the module. While the prior learning is expressed as named CIT module(s) it also allows for learning (in another module or modules) which is equivalent to the learning specified in the named module(s).
13601
MATH6019
Technological Maths 2 & Maple
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module. You may not earn additional credit for the same learning and therefore you may not enrol in this module if you have successfully completed any modules in the incompatible list.
This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed. You may not enrol on this module if you have not acquired the learning specified in this section.
No requirements listed
Module Content & Assessment
Indicative Content
Differentiation
Introduction to limits. Definition and graphical interpretation of a derivative. Differentiation of common functions, product, quotient, chain rules. Applications of differentiation.
Integration
Integration as anti-differentiation. Standard integrals. Integration by substitution. Integration as summation. Definite integral and its significance. Applications of definite integral. Solution of simple ordinary differential equations.
Mathematical Software
Introduction to mathematical software packages (e.g. Maple). Exploration of calculus and its applications. Calculus package.
Assessment Breakdown
%
Course Work
40.00%
End of Module Formal Examination
60.00%
Course Work
Assessment Type
Assessment Description
Outcome addressed
% of total
Assessment Date
Short Answer Questions
Classroom Assessment
1
15.0
Week 5
Short Answer Questions
Classroom Assessment
2,3
15.0
Week 10
Practical/Skills Evaluation
Openbook practical lab exam
5
10.0
Week 12
End of Module Formal Examination
Assessment Type
Assessment Description
Outcome addressed
% of total
Assessment Date
Formal Exam
End-of-Semester Final Examination
1,2,3,4
60.0
End-of-Semester
Reassessment Requirement
Repeat examination Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element.
The institute reserves the right to alter the nature and timings of assessment