Calculus – the study of continuous change – is a pillar of advanced mathematics, with important applications in STEM and Financial subjects. Calculus and in particular differential equations are central to real life applications of mathematics in a wide variety of subject areas, ranging from Physics and Engineering to Biology and Finance.
In this module, you will develop your knowledge of mathematical functions to give you a solid foundation with which to grasp calculus and other advanced topics. You will then move on to study differential calculus and its applications – allowing you to quantify and model rates of change mathematically and consistently and find the gradient of any curve – followed by integral calculus and differential equations – allowing you to find anti-derivatives and model real-life situations.
Lecture 48, Revision 4
2 Problem Sheets (20% each), worth 40%.
Examination (2-hours) worth 60%.
Reassessment Method: Like-for-like
Including composite form of reassessment for failed Portfolio component – written single problem sheet
On successfully completing the module, students will be able to:
1) Demonstrate a comprehensive understanding of the underlying concepts and core results of basic function theory, differential calculus, and integral calculus, while demonstrating a reasonable level of skill in calculation and manipulation of the material.
2) Apply the underlying concepts and core results associated with basic function theory, differential calculus, and integral calculus to problems in several well-defined contexts.
3) Reason with and evaluate arguments using the underlying concepts and core results of i basic function theory, differential calculus, and integral calculus.
4) Evaluate the appropriateness of different approaches to solving problems associated with basic function theory, differential calculus, and integral calculus.
5) Communicate their work and knowledge of basic function theory, differential calculus, and integral calculus accurately and using sound arguments.
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