Module Specifications.
Current Academic Year 2024 - 2025
All Module information is indicative, and this portal is an interim interface pending the full upgrade of Coursebuilder and subsequent integration to the new DCU Student Information System (DCU Key).
As such, this is a point in time view of data which will be refreshed periodically. Some fields/data may not yet be available pending the completion of the full Coursebuilder upgrade and integration project. We will post status updates as they become available. Thank you for your patience and understanding.
Date posted: September 2024
| |||||||||||||||||||||||||||||||||||||||||||
None |
|||||||||||||||||||||||||||||||||||||||||||
Description This module is aimed at students, starting with knowledge of higher level leaving certificate mathematics and differential calculus, to gain a sound grasp of integral calculus. Students on the module are expected to master fundamental techniques of integral calculus through doing a substantial number of exercises. It also exposes students to applications of calculus in economics and finance, and lays the foundations for further courses in calculus, analysis, probability and statistics. | |||||||||||||||||||||||||||||||||||||||||||
Learning Outcomes 1. understand the concept of definite integral and know the basic properties of definite integrals 2. understand the concept of area of regions with curvilinear boundaries, be able to find area between curves 3. understand the concept of indefinite integral as anti-derivative 4. integrate important elementary functions, using the rules of integration 5. prove important results about the logarithm, exponential, and trigonometric functions 6. apply their knowledge of integration to solve real world problems in economics and finance | |||||||||||||||||||||||||||||||||||||||||||
All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml |
|||||||||||||||||||||||||||||||||||||||||||
Indicative Content and Learning Activities
Riemann Sums Sums and summation notation, Area as a limit of sums Definite Integral The definite integral and fundamental theorem of calculus Indefinite Integral The indefinite integral and basic rules of integration. Methods of Integration Integration by parts, substitution and using partial fractions Applications of integration area and volume; applications in economics, finance & actuarial maths; the natural logarithm; Taylor’s theorem | |||||||||||||||||||||||||||||||||||||||||||
| |||||||||||||||||||||||||||||||||||||||||||
Indicative Reading List
| |||||||||||||||||||||||||||||||||||||||||||
Other Resources None | |||||||||||||||||||||||||||||||||||||||||||