Calculus and its Applications
| Code | School | Level | Credits | Semesters |
| MTHS1002 | Mathematical Sciences | 1 | 10 | Autumn UK |
- Code
- MTHS1002
- School
- Mathematical Sciences
- Level
- 1
- Credits
- 10
- Semesters
- Autumn UK
Summary
This course provides key mathematical analysis and tools for advanced modelling for a wide range of applications used in business, finance and economics. Elementary calculus of a single variable is reviewed and extended and used to give insight to modelling through use of first-order differential equations. Differential calculus of functions of several variables is introduced and their applications for multi-dimensional models.
Target Students
BSc students from the Business School or other Schools outside Science or Engineering.
Classes
- One 1-hour seminar each week for 11 weeks
- Two 1-hour lectures each week for 11 weeks
Each week there will normally be two lecture hours and a seminar hour of worked examples or tutorial problem support.
Assessment
- 10% Coursework 1: One assignment testing and providing feedback on applying mathematical methods to calculus problems accurately.
- 90% Exam 1 (2-hour): Written examination.
Assessed by end of autumn semester
Educational Aims
To provide students with fluency and analytical capability in a range of key calculus techniques as typically used in the quantitative study of problems in finance and economics. An emphasis is provided in the applications of differential calculus for modelling.Learning Outcomes
Knowledge and understanding of fundamental concepts of calculus.
On successful completion of this course students will be able to:
L1 - differentiate and integrate functions of one real variable.
L2 - model real-world situations as first order ODEs.
L3 - apply mathematical methods to solve first order ODEs.
L4 - calculate partial derivatives and use them to solve multidimensional optimisation problems.