Course Information Package
|Course Unit Title||CALCULUS FOR BUSINESS AND SOCIAL SCIENCES|
|Course Unit Code||AMAT106|
|Course Unit Details|
|Number of ECTS credits allocated||5|
|Learning Outcomes of the course unit||By the end of the course, the students should be able to:|
|Mode of Delivery||Face-to-face|
|Recommended optional program components||NONE|
Functions, limits, continuity. The concept of the derivative of a function. Derivatives of polynomial, logarithmic and rational functions.
Derivatives of the product and quotient. The chain rule.
Higher order derivatives (second, third etc)
Minimize and maximise a function using the second order derivative criterion.
Applications of derivatives in optimization problems with emphasis in business problems.
Functions of two or more variables. Maxima-minima. Application in business problems (marginal cost, marginal revenue, marginal profit, exact cost, maximum profit and minimum cost).
The Lagrange multipliers method.
Exponential growth and decay problems with emphasis to business applications.
Anti-derivatives and the concept of the indefinite integral. Integration of simple functions.
The concept of the definite integral. The fundamental theorem of calculus. Applications in business problems.
|Recommended and/or required reading:|
|Planned learning activities and teaching methods||The course is delivered to the students by means of lectures, and tutorials. Lecture notes are available through the e-learning platform of the University, and the instructor’s webpage. Students are strongly encouraged for class work, problem and exercise solving and discussion.|
|Assessment methods and criteria|
|Language of instruction||English|