This module is not currently running in 2024 to 2025.
This module introduces the ideas of integration and numerical methods.
a) Integration: Integration as a limit of a sum and graphical principles of integration, derivatives, anti-derivatives and the Fundamental Theorem of Calculus (without proof), definite and indefinite integrals, integration of simple functions.
b) Methods of integration: integration by parts, integration by change of variables and by substitution, integration by partial fractions.
c) Solving first order differential equations: separable and linear first order differential equations. Construction of differential equations in context, applications of differential equations and interpretation of solutions of differential equations.
d) Maple: differentiation and integration, curve sketching, polygon plots, summations.
Additional material may include root finding using iterative methods, parametric integration, surfaces and volumes of revolution.
Contact hours: 44
Private study: 156
Total: 200
80% examination, 20% coursework
The University is committed to ensuring that core reading materials are in accessible electronic format in line with the Kent Inclusive Practices.
The most up to date reading list for each module can be found on the university's reading list pages.
See the library reading list for this module (Canterbury)
The intended subject specific learning outcomes.
On successfully completing the module students will be able to:
1 demonstrate understanding of the basic body of knowledge associated with standard functions and their graphical interpretation;
2 demonstrate the capability to solve problems in accordance with the basic theories and concepts of the numerical and analytical integration of functions of a single variable, whilst demonstrating a reasonable level of skill in calculation and manipulation of the material;
3 apply the basic techniques associated with integration in several well-defined contexts;
4 demonstrate a mathematical proficiency suitable for stage 1 entry.
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