Module: Mathematics for Scientists 2

Module Specifications.

Current Academic Year 2024 - 2025

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Date posted: September 2024

Module Title	Mathematics for Scientists 2
Module Code	MS124 (ITS) / MTH1022 (Banner)
Faculty	Science & Health	School	Mathematical Sciences
Module Co-ordinator	-
Module Teachers	-
NFQ level	6	Credit Rating	5
Pre-requisite	Not Available
Co-requisite	Not Available
Compatibles	Not Available
Incompatibles	Not Available

None

Description

This module focuses on the reasoning and technical skills necessary for students to become proficient in applying mathematical concepts and tools of calculus. This module reviews foundation mathematics, introduces matrices and complex numbers, and develops the computational skills and techniques of integral calculus.

Learning Outcomes

1. solve inequalities, and perform elementary computations involving matrices and complex numbers
2. integrate algebraic, trigonometric, logarithmic and exponential functions
3. use integrals to solve applied problems
4. understand how finite sums can be used to estimate an area and connect finite sums to the definition of an integral
5. find partial derivatives, and solve related rates problems

*Type*	*Hours*	*Description*
Workload	Full-time hours per semester
Lecture	36	3 lectures per week
Tutorial	11	1 tutorial per week
Assignment Completion	2	End of semester exam
Directed learning	22	Solving tutorial problems
Independent Study	54	No Description
Total Workload: 125

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

Preliminaries
solving inequalities

Matrices
basic matrix operations; transpose; the identity matrix.

Integration
estimating with finite sums; sigma notation and limits of finite sums; the definite integral; the fundamental theorem of calculus; indefinite integrals and substitution; area under curves.

Techniques of Integration
basic integration formulae; integration by substitution; integration by parts; partial fraction decomposition; initial value problems; exponential growth and decay

More on differentiation
implicit differentiation; related rates; partial derivatives

Complex Numbers
Basic operations; complex roots of polynomial with real coefficients.

Assessment Breakdown
Continuous Assessment	0%	Examination Weight	0%

Type	Description	% of total	Assessment Date
Course Work Breakdown
Participation	n/a	5%	Every Week
Assignment	n/a	7%	Week 5
In Class Test	n/a	8%	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 -

Indicative Reading List

G.B. Thomas, M.D. Weir, J. Hass and F.R.Giordano: 2005, Thomas' Calculus, 11th, Pearson Addison Wesley,
E. Mendelson: 2009, Schaum's Outline of Beginning Calculus, 3rd, McGraw Hill,

Other Resources

None