Study-Unit Description

Study-Unit Description


CODE FST0574

 
TITLE Mathematics for Commerce 2

 
UM LEVEL 00 - Mod Pre-Tert, Foundation, Proficiency & DegreePlus

 
MQF LEVEL Not Applicable

 
ECTS CREDITS 5

 
DEPARTMENT Humanities and Commerce

 
DESCRIPTION Students will be given an introduction to the second segment of the MATSEC intermediate Pure Mathematics subject with a focus on the particularly relevant topics that are vital to commerce. The only part of this subject that is not covered is the geometry and vectors topics.

The study-unit opens with a study of trigonometric functions each with their own definition (in terms of a right angled triangle) and a sketch. The introduction closes with an investigation of arclengths and areas determined with angle in radians. Following this, the trigonometric functions are applied to identity formulation. The fundamental trigonometric Pythagorean identity is covered. Due to their importance in commerce, essentially all the topics of A-level differentiation are then introduced. As an application the Taylor and MacLauren series are introduced with standard examples given. Following differentiation, integration is covered.

Study-unit Aims:

The main target of the study-unit is to give students intending to enrol for a Bachelor of Commerce part of the required mathematical sophistication. Students will be able to at least work through the MATSEC intermediate problems related to the topics covered here. Some further depth is given in the area of probability theory since this is more relevant for commerce.

This study-unit is aimed at raising the level and methodology knowledge of the students to a level appropriate to be in-line with local students in commerce.

Learning Outcomes:

1. Knowledge & Understanding:

By the end of the study-unit the student will be able to:
- handle trigonometric functions and identities.
- perform differentiation of compound functions.
- work with Taylor and MacLauren series.
- use functions and sketch them.
- conduct basic differentiation and integration.

2. Skills:

By the end of the study-unit the student will be able to:
- demonstrate the ability to work with trigonometric functions.
- demonstrate the technical knowhow of working with differential problems.
- apply the series expansions to standard functions with simple variations.
- determine integrals.

Main Text/s and any supplementary readings:

- L. Bostock and S. Chandler (1981). The Core Course for A-Level. Nelson Thornes. [Mandatory]
- L. Bostock and S. Chandler (1982). Further Pure Mathematics. Nelson Thornes. [Recommended]
- D. Russell and J. Beales (2002) . As Level Mathematics Through Diagrams. Oxford University Press. [for reference purposes]
- K. Pledger, K. Pledger, et al. (2008). Edexcel As and A Level Modular Mathematics. Pearson Education. [for reference purposes]

 
ADDITIONAL NOTES This study-unit is offered only to the Certificate in Foundation Studies students.

 
STUDY-UNIT TYPE Lecture

 
METHOD OF ASSESSMENT
Assessment Component/s Sept. Asst Session Weighting
Examination (2 Hours) Yes 100%

 
LECTURER/S Agnetha Agius
Liberato Camilleri

 

 
The University makes every effort to ensure that the published Courses Plans, Programmes of Study and Study-Unit information are complete and up-to-date at the time of publication. The University reserves the right to make changes in case errors are detected after publication.
The availability of optional units may be subject to timetabling constraints.
Units not attracting a sufficient number of registrations may be withdrawn without notice.
It should be noted that all the information in the description above applies to study-units available during the academic year 2023/4. It may be subject to change in subsequent years.

https://www.um.edu.mt/course/studyunit