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Module Specifications

Current Academic Year 2012 - 2013
Please note that this information is subject to change.

Module Title Accounting Mathematics 1
Module Code MS144
School School of Mathematics
Online Module Resources

Module Co-ordinatorSemester 1: John Carroll
Semester 2: John Carroll
Autumn: John Carroll
Module TeacherJohn Carroll
NFQ level 8 Credit Rating 5
Pre-requisite None
Co-requisite None
Compatibles None
Incompatibles None
Description
MS144 provides students with a working knowledge of arithmetic and geometric sequences and series; elements of differential calculus; matrices and linear systems; and eigenvalues and eigenvectors. The course also strives to develop students' understanding and ability to use the concepts and techniques of mathematics in specific applications such as loans and investments with level payments or deposits.

Learning Outcomes
1. Describe and solve problems involving arithmetic and geometric sequences and series.
2. Apply selected annuity formulae to real-world situations and interpret the results.
3. Evaluate limits numerically and graphically and recognize where limits do not exist.
4. Calculate derivatives of functions from first principles and using the product, quotient and chain rules.
5. Solve systems of linear equations using Gaussian elimination and backward substitution.
6. Calculate the determinant, eigenvalues and associated eigenvectors of a given 3 by 3 matrix.



Workload Full-time hours per semester
Type Hours Description
Lecture24Standard lecture format
Tutorial11Tackling supplied tutorial sheet questions
Total Workload: 35

All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml

Indicative Content and Learning Activities
Sequences & Series.
Arithmetic and geometric sequences and series. Application of geometric series to loan re-payments and investments..

Limits & Continuity.
Evaluation of limits numerically, using algebraic manipulation and limit rules; left-sided and right-sided limits; graphicaland mathematical definitions of continuity..

Differential Calculus.
Differentiation from first principles; use of the product rule, quotient rule and chain rule..

Linear Systems.
Row-echelon form and Gaussian elimination with backward substitution; consistent and inconsistent linear systems and systems with parametric solutions..

Eigenvalues & Eigenvectors.
Introduction to matrices; finding the determinant of 3 by 3 matrices; characteristic polynomials; finding eigenvalues and corresponding eigenvectors of 3 by 3 matrices..

Assessment Breakdown
Continuous Assessment20% Examination Weight80%
Course Work Breakdown
TypeDescription% of totalAssessment Date
In Class Test1-hour Closed book, unseen written class test20%Week 10
Reassessment Requirement
Resit arrangements are explained by the following categories;
1 = A resit is available for all components of the module
2 = No resit is available for 100% continuous assessment module
3 = No resit is available for the continuous assessment component
This module is category 1
Indicative Reading List
  • O D Morris: 2009, Text & Tests 6, Celtic Press, 978-1872019819
  • Robert A Adams: 2007, Calculus: A Complete Course, 6/E, Prentice Hall, 978-0321270009
  • Howard Anton: 2005, Elementary Linear Algebra, 9th, Prentice Hall, 978-0471669609
Other Resources
4728, Website, John Carroll, 0, MS144 Lecture Notes, www.dcu.ie/~carrollj/ms144.html, 4729, Website, John Carroll, 0, MS144 Tutorial Sheets (with deferred solutions), www.dcu.ie/~carrollj/ms144.html, 4730, Website, John Carroll, 0, MS144 Past Exam Papers (with answers), www.dcu.ie/~carrollj/ms144.html,
Array
Programme or List of Programmes
AFBA in Accounting & Finance
IFCAFInt Foundation Cert (Accounting Finance)
Timetable this semester: Timetable for MS144
Date of Last Revision15-FEB-11
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