Last modified: 23 Jul 2024 10:43
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.
Study Type  Undergraduate  Level  1 

Term  First Term  Credit Points  15 credits (7.5 ECTS credits) 
Campus  Aberdeen  Sustained Study  No 
Coordinators 

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.
Syllabus
Information on contact teaching time is available from the course guide.
Assessment Type  Summative  Weighting  15  

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Knowledge Level  Thinking Skill  Outcome 

Assessment Type  Summative  Weighting  70  

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Knowledge Level  Thinking Skill  Outcome 

Assessment Type  Summative  Weighting  15  

Assessment Weeks  Feedback Weeks  
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Knowledge Level  Thinking Skill  Outcome 

There are no assessments for this course.
Assessment Type  Summative  Weighting  

Assessment Weeks  Feedback Weeks  
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Knowledge Level  Thinking Skill  Outcome 

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 
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