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Module Specifications..

Current Academic Year 2023 - 2024

Please note that this information is subject to change.

Module Title IT Mathematics II
Module Code MS135
School School of Mathematical Sciences
Module Co-ordinatorSemester 1: Paul Razafimandimby
Semester 2: Paul Razafimandimby
Autumn: Paul Razafimandimby
Module TeachersThomas Brady
Ben Quigley
Paul Razafimandimby
NFQ level 6 Credit Rating 5
Pre-requisite None
Co-requisite None
Compatibles None
Incompatibles None
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.



Workload Full-time hours per semester
Type Hours Description
Lecture36Three Lectures per week
Tutorial10One tutorial per week
Directed learning2End of year exam
Directed learning20Solving tutorial problems
Independent Study57Study 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 Assessment20% Examination Weight80%
Course Work Breakdown
TypeDescription% of totalAssessment Date
Loop QuizLoop Quiz5%Week 4
In Class TestIn class Test10%Week 9
Loop QuizLoop Quiz5%Week 11
Reassessment Requirement Type
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 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
Programme or List of Programmes
COMSCIBSc in Computer Science
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