Last modified: 23 Jul 2024 11:04
Calculus is the mathematical study of change, and is used in many areas of mathematics, science, and the commercial world. This course covers, limits, continuity, differentiation, finding maximum and minimum values, integration.
| Study Type | Undergraduate | Level | 1 |
|---|---|---|---|
| Term | First Term | Credit Points | 20 credits (10 ECTS credits) |
| Campus | Offshore | Sustained Study | No |
| Co-ordinators |
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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. 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; it then develops the basic ideas of the calculus of functions of a single variable and explains some of the ways it is applied.
Syllabus
Methods of integration: integration by parts, trigonometric substitution, partial fraction decomposition.
Information on contact teaching time is available from the course guide.
| Assessment Type | Summative | Weighting | 80 | |
|---|---|---|---|---|
| Assessment Weeks | Feedback Weeks | |||
| Feedback |
Feedback provided in discussion |
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| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
| Conceptual | Analyse | Ability to determine appropriate techniques to differentiate exponential, logarithmic, trigonometric and inverse trigonometric functions |
| Conceptual | Analyse | Ability to determine appropriate techniques to determine maxima and minima of a function |
| Conceptual | Analyse | Ability to determine appropriate techniques to compute limits and derivatives |
| Conceptual | Analyse | Ability to apply the basic logic underpinning mathematical reasoning |
| Conceptual | Analyse | Ability to determine appropriate techniques to find the equation of the tangent to a curve |
| Conceptual | Analyse | Ability to determine appropriate techniques to compute definite and indefinite integrals |
| Conceptual | Understand | Ability to state and understand the main definitions and theorems of the course |
| Conceptual | Understand | Familiarity with basic mathematical language such as sets and functions |
| Factual | Understand | Understand the relationship between first and second derivatives of a function and the shape of its graph |
| Factual | Understand | Understand the definitions of limit, continuity and derivative, and their geometric significance |
| Assessment Type | Summative | Weighting | 20 | |
|---|---|---|---|---|
| Assessment Weeks | Feedback Weeks | |||
| Feedback |
Solutions provided. Students have the opportunity to ask the lecturer questions in class or individually. |
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| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
| Conceptual | Analyse | Ability to apply the basic logic underpinning mathematical reasoning |
| Conceptual | Analyse | Ability to determine appropriate techniques to find the equation of the tangent to a curve |
| Conceptual | Analyse | Ability to determine appropriate techniques to compute definite and indefinite integrals |
| Conceptual | Analyse | Ability to determine appropriate techniques to differentiate exponential, logarithmic, trigonometric and inverse trigonometric functions |
| Conceptual | Analyse | Ability to determine appropriate techniques to determine maxima and minima of a function |
| Conceptual | Analyse | Ability to determine appropriate techniques to compute limits and derivatives |
| Conceptual | Understand | Familiarity with basic mathematical language such as sets and functions |
| Conceptual | Understand | Ability to state and understand the main definitions and theorems of the course |
| Factual | Understand | Understand the relationship between first and second derivatives of a function and the shape of its graph |
| Factual | Understand | Understand the definitions of limit, continuity and derivative, and their geometric significance |
There are no assessments for this course.
| Assessment Type | Summative | Weighting | 100 | |
|---|---|---|---|---|
| Assessment Weeks | Feedback Weeks | |||
| Feedback | ||||
| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
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|
||
| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
| Conceptual | Understand | Ability to state and understand the main definitions and theorems of the course |
| Factual | Understand | Understand the relationship between first and second derivatives of a function and the shape of its graph |
| Conceptual | Analyse | Ability to apply the basic logic underpinning mathematical reasoning |
| Conceptual | Analyse | Ability to determine appropriate techniques to differentiate exponential, logarithmic, trigonometric and inverse trigonometric functions |
| Conceptual | Understand | Familiarity with basic mathematical language such as sets and functions |
| Factual | Understand | Understand the definitions of limit, continuity and derivative, and their geometric significance |
| Conceptual | Analyse | Ability to determine appropriate techniques to compute definite and indefinite integrals |
| Conceptual | Analyse | Ability to determine appropriate techniques to determine maxima and minima of a function |
| Conceptual | Analyse | Ability to determine appropriate techniques to find the equation of the tangent to a curve |
| Conceptual | Analyse | Ability to determine appropriate techniques to compute limits and derivatives |
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