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 substitution, integration using partial fractions.
c) Solving first order ordinary differential equations: separable and linear first order ordinary differential equations, construction of differential equations in context, applications of differential equations and interpretation of solutions of differential equations.
d) Numerical integration: mid-ordinate rule, trapezium rule, Simpson's rule.
Additional material may include root finding using iterative methods, parametric integration, surfaces and volumes of revolution.
Contact hours: 44
Private study: 156
Total: 200
Assessment 1 Exercises, taking on average between 10 and 15 hours to complete 20%
Assessment 2 Exercises, taking on average between 10 and 15 hours to complete 20%
Examination 2 hours 60%
The coursework mark alone will not be sufficient to demonstrate the student's level of achievement on the module.
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.
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.
University of Kent makes every effort to ensure that module information is accurate for the relevant academic session and to provide educational services as described. However, courses, services and other matters may be subject to change. Please read our full disclaimer.
