Last modified: 05 Oct 2023 08:46
Calculus is the mathematical study of change, and is used in many areas of mathematics, science, and the commercial world. This course covers differentiation, limits, finding maximum and minimum values, and continuity. There may well be some overlap with school mathematics, but the course is brisk and will go a long way quickly.
|Session||First Sub Session||Credit Points||15 credits (7.5 ECTS credits)|
This course has a diagnostic test which you must take before selecting this course. More information about the Diagnostic Tests
Calculus allows for changing situations and complicated averaging processes to be described in precise ways. It was one of the great intellectual achievements of the late 17th and early 18th Century. Early applications were made to modeling planetary motion and to calculating tax payable on land. Now the ideas are used in broad areas of mathematics and science and parts of the commercial world. The course begins with an introduction to fundamental mathematical concepts and then develops the basic ideas of the differential calculus of a single variable and explains some of the ways they are applied.
Information on contact teaching time is available from the course guide.
There are no assessments for this course.
|Assessment Weeks||Feedback Weeks|
|Knowledge Level||Thinking Skill||Outcome|
|Factual||Apply||Carry out calculations of limits, including one sided limits and the squeeze theorem|
|Conceptual||Understand||Understand the mean value theorem and the intermediate value theorem and being able to use them|
|Conceptual||Understand||Understand the concept of continuity|
|Factual||Remember||Know basic definition of functions and sets|
|Factual||Understand||Have an understanding of the need of precision in mathematics|
|Factual||Apply||Carry out calculations of derivatives|
|Factual||Apply||Carry out more advanced topics in derivatives- the chain rule, implicit differentiation.|
|Conceptual||Apply||Have a working knowledge of basic logical rules|
|Factual||Apply||Carry out investigations of functions|