Module: Mathematics for Scientists 1

Module Specifications.

Current Academic Year 2024 - 2025

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Date posted: September 2024

Module Title	Mathematics for Scientists 1
Module Code	MS123 (ITS) / MTH1021 (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 focusses on the reasoning and technical skills necessary for students to become proficient in applying the mathematical concepts and tools of calculus. This module reviews foundation mathematics and develops the computational skills and techniques of differential calculus.

Learning Outcomes

1. solve elementary questions dealing with pre-calculus concepts
2. state selected definitions and theorems
3. evaluate limits of functions and determine when a function is continuous
4. find derivatives of functions and understand the relationship between derivatives, rates of change and tangent lines
5. apply derivatives to sketch graphs of functions, find solutions to equations, and solve optimisation problems

*Type*	*Hours*	*Description*
Workload	Full-time hours per semester
Lecture	36	3 lectures per week
Tutorial	11	1 tutorial per week
Directed learning	2	End of semester exam
Fieldwork	22	Solving tutorial problems
Independent Study	54	Study over the course of the semester
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
sets, intervals, lines.

Functions
definition, domain and range, even and odd, classes of functions, combining functions.

Limits & Continuity
properties of limits, one-sided limits, limits at infinity, continuity, I.V.T., l'Hopital's Rule.

Differentiation
derivative as a function, rates of change and tangent lines, rules of differentiation, higher-order derivatives.

Applications
extreme values, M.V.T., monotonicity and first derivative test, concavity and second derivative test, graph sketching, applied optimisation problems.

Assessment Breakdown
Continuous Assessment	20%	Examination Weight	80%

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 3

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