Module: Accounting Mathematics 1

Module Specifications.

Current Academic Year 2024 - 2025

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Date posted: September 2024

Module Title	Accounting Mathematics 1
Module Code	MS144 (ITS) / MTH1028 (Banner)
Faculty	Science & Health	School	Mathematical Sciences
Module Co-ordinator	Mary Hall
Module Teachers	Paolo Guasoni
NFQ level	6	Credit Rating	5
Pre-requisite	Not Available
Co-requisite	Not Available
Compatibles	Not Available
Incompatibles	Not Available

None
A 90-minute, open-book, multiple-choice exam to assess learning outcomes 1, 2, 3 and 4.

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.

*Type*	*Hours*	*Description*
Workload	Full-time hours per semester
Lecture	24	Standard lecture format
Tutorial	11	Tackling 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; graphical and 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 Assessment	20%	Examination Weight	80%

Type	Description	% of total	Assessment Date
Course Work Breakdown
In Class Test	1-hour Closed book, unseen written class test	20%	Week 10

Reassessment Requirement Type
Resit arrangements are explained by the following categories: Resit category 1: A resit is available for both* components of the module. Resit category 2: No resit is available for a 100% continuous assessment module. Resit category 3: No resit is available for the continuous assessment component where there is a continuous assessment and examination element.
* ‘Both’ is used in the context of the module having a Continuous Assessment/Examination split; where the module is 100% continuous assessment, there will also be a resit of the assessment
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

None