Module: IT Mathematics II

Module Specifications.

Current Academic Year 2024 - 2025

All Module information is indicative, and this portal is an interim interface pending the full upgrade of Coursebuilder and subsequent integration to the new DCU Student Information System (DCU Key).

As such, this is a point in time view of data which will be refreshed periodically. Some fields/data may not yet be available pending the completion of the full Coursebuilder upgrade and integration project. We will post status updates as they become available. Thank you for your patience and understanding.

Date posted: September 2024

Module Title	IT Mathematics II
Module Code	MS135 (ITS) / MTH1026 (Banner)
Faculty	Science & Health	School	Mathematical Sciences
Module Co-ordinator	Paul Razafimandimby
Module Teachers	Ben Quigley, Peter Taylor, Thomas Brady
NFQ level	6	Credit Rating	5
Pre-requisite	Not Available
Co-requisite	Not Available
Compatibles	Not Available
Incompatibles	Not Available

None

Description

This course concentrates on developing the algebraic and logical skills of the student. The course develops skills in the techniques of differential and integral calculus. Enhancing the student's ability to solve mathematical problems occurring in IT lies at the heart of this module. Students will participate in the following learning activities: Lectures: Students will attend three one-hour lectures per week. These lectures are designed to introduce learners to the mathematical principles and problem solving techniques that underpin this module. Tutorials: Each student will attend one one-hour tutorial per week. Problem sheets based on lecture content are distributed to the students and they are strongly advised to attempt all tutorial questions in advance of the tutorial. Reading: Students are expected to fully utilise the textbooks recommended.

Learning Outcomes

1. Work confidently with functions and in particular those covered in the course.
2. Demonstrate an understanding of the concepts that arise in differential and integral calculus and be able to apply the calculus to rational functions as well as to trigonometric, logarithmic and exponential functions.
3. Apply the techniques of differential and integral calculus to simple problems relating to curve sketching, optimisation and areas under the curve.

*Type*	*Hours*	*Description*
Workload	Full-time hours per semester
Lecture	36	Three Lectures per week
Tutorial	10	One tutorial per week
Directed learning	2	End of year exam
Directed learning	20	Solving tutorial problems
Independent Study	57	Study over semester including exam period
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

Functions
Domain and range of functions. Ways to combine functions (sums, products, compositions). Polynomials and rational, trigonometric and exponential functions. Equalities and inequalities.

Limits & Continuity
Simple finite and infinite limits. Simple tests to establish if piecewise-defined functions are continuous.

Calculus
Techniques of differentiation (first principles, product, quotient and chain rules) and integration (substitution and integration-by-parts). Curve sketching, optimisation and area under the curve applications.

Assessment Breakdown
Continuous Assessment	20%	Examination Weight	80%

Type	Description	% of total	Assessment Date
Course Work Breakdown
Loop Quiz	Loop Quiz	5%	Week 4
In Class Test	In class Test	10%	Week 9
Loop Quiz	Loop Quiz	5%	Week 11

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

James Stewart: 2016, Calculus, 1-7, Cengage Learning,
Carla C. Morris and Robert M. Stark: 2016, Fundamentals of calculus, 1-7, John Wiley & Sons, Hoboken, NJ,
Tunc Geveci: 2015, Introductory calculus: functions, limits, and continuity, Momentum Press, New York,
Tunc Geveci: 2015, Introductory calculus: understanding the derivative, 1-8, Momentum Press, New York,
Tunc Geveci: 2015, Introductory calculus: maxima, minima, and special functions, Momentum Press, New York,

Other Resources

None