
Introduction to Mathematics
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In order to achieve the learning goals, the student should be able to demonstrate knowledge about the course topics and concepts of the course, and ability to select and apply the relevant methods relative to a simple analysis of issues related to business and economics.
The student should be able:
Description of outcome - Knowledge
Description of outcome - Skills
- to perform optimization og functional forms relevant in business and economics including first and second order conditions for maxima and minima.
- to perform the Lagrange method for optimization under restrictions with applications from business and economics including an interpretation of the Lagrange multiplicator in an economic context.
- to perform a geometric interpretation of functions of several variables – niveau curves, planes etc.
- to perform calculus rules for integrals including calculus rules for exponential and power functions and to be able to interpret integrals in relation to areas for example related to consumers and producers surplus.
- to use matrix algebra in order to solve systems of equations including input-output systems.
Description of outcome - Competences
- to identify the correct mathematical method in order to solve a given issue within business and economics.
- to evaluate if the archived mathematical result is correct in perspective to the issue addressed.
Literature
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Workload
Students will be required to do 125 hours of work, which is expected to be spent as follows:
Examination regulations
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Additional information
Internet access: The Internet must only be used to access digital exam in order to submit and retrieve the Word-template to be used for the exam. Aside from this activity the Internet must not be used during the examination.
Preparation: The assignment has to be written in a Word-template that is handed out via digital exam at the beginning of the exam. Graphs, formulas and similar may be written by hand and transferred to the template by use of either a digital pen or a hand scanner. See under special circumstances.
Special Circumstances:
•If you have bought the book in the edition by Ian Jacques for the course in a digital format, then it is permitted to have this digital book open on your own computer during the exam, the appendix on “Input-Output” models, and the note on 3x3 models. It is not permitted to have other documents open.
•Own notes have to be printed out on paper. It is not allowed to have your own notes open on your computer during the exam.
•If the assignment is written by use of a digital pen, then it is allowed to use the software accompanying the digital pen. It is permitted to use a digital pen with a Surface computer.
•The assignment can be written by hand, and then be digitally transferred by use of a hand scanner. It is allowed to use the software accompanying the hand scanner.
•The assignment can be written by hand, and then being photographed by use of a digital camera (not Ipads/tablets/smartphones). Use of the computer camera is allowed. The files of the photo images can then be transferred to the Word-template.
•The memory of the digital pen, the hand scanner and the digital camera has to be empty/cleared before the start of the exam.
•All handmade graphs, formulas and similar has to be transferred to the Word-template before the end of the exam.
A change in the examination form will be announced no later than 14 days prior to the re-exam.
EKA
External comment
NOTE - This course is identical with the former courses
83303x01 / Odense: 83303301 Sønderborg: 83303501 Supplementary course in Mathematics.
Odense: B220014101 Introduction to Mathematics.