# MATH06072 2019 Mathematics for Science 3

### General Details

Full Title
Mathematics for Science 3
Transcript Title
Mathematics for Science 3
Code
MATH06072
Attendance
N/A %
Subject Area
MATH - Mathematics
Department
LIFE - Life Sciences
Level
06 - NFQ Level 6
Credit
05 - 05 Credits
Duration
Semester
Fee
Start Term
2019 - Full Academic Year 2019-20
End Term
9999 - The End of Time
Author(s)
David Doyle
Programme Membership
SG_SBIOM_B07 201900 Bachelor of Science in Biomedical Science SG_SMEDI_H08 201900 Bachelor of Science (Honours) in Science in Medical Biotechnology SG_SBIOM_C06 202100 Higher Certificate in Science in Biomedical Science
Description

Further development of mathematical techniques necessary for scientists

### Learning Outcomes

On completion of this module the learner will/should be able to;

1.

Use the laws of logarithms to solve complex equations, analyse exponential data and plots

2.

Use exponents to perform population analysis and determine the half life and cell doubling times of natural growth and decay.

3.

Perform probability calculations of single and multiple events and use normal distribution to determine biological probabilities.

4.

Perform calculations with simple matrices, solve systems of simultaneous equations using matrix methods.

5.

Evaluate integral calculus problems and determine the area under various curves

### Teaching and Learning Strategies

This module will be delivered full time. This will include 2 live lectures per week supported by online VLE (Moodle) based notes, videos and associated quizzes.

These lectures are augmented by 2 x 1 hr "Maths practicals" where students can work on the online quizzes and written problems in an informal setting with one or more tutors present to provide assistance and feedback.

### Module Assessment Strategies

Students are required to achieve 100% in each online Quiz before the deadline.  (Summative)

Students complete 1 CA tests based on these online Quiz. (Summative)

Students complete 8 written worksheets into their Journal. (Summative)

Attendance at all Maths practicals is recorded and the Journal mark is multiplied by this value.

### Repeat Assessments

Repeat Continuous Assessment and/or Final Exam

Prerequisites
None
Co-requisites
None
Incompatibles
None

### Indicative Syllabus

Use the laws of logarithms to solve complex equations, analyse exponential data and plots

• Convert powers to logs and vice versa
• Solve complex log equations
• Use the laws of logs
• Determine the nature of exponential curves
• Use semi log paper to plot exponential curves
• Analyse exponential data to determine its base equation.

Use exponents to perform population analysis and determine the half life and cell doubling times of natural growth and decay.

• Growth and decay functions and curves
• Half life & cell doubling times calculations
• Carbon dating

Perform probability calculations of single and multiple events and use normal distribution to determine biological probabilities.

• Probability theory
• Independent and dependent events
• Mutually exclusive/complementary events
• AND OR NOT rules of probability
• Marginal and conditional probabilities
• Probability trees
• Standard Normal distributions and Z scores
• Calculations finding the probability and percentile values using normal distribution tables

Perform calculations with simple matrices, solve systems of simultaneous equations using matrix methods.

• Order of a matrix
• Addition, subtraction and multiplication of matrices
• Transpose and inverse of a matrix
• Using matrix inverses to solve systems of linear equations
• Using matrix row operations to solve systems of linear equations

Evaluate integral calculus problems and determine the area under various curves

• Indefinite integrals and the constant of integration
• Boundary conditions and definite integrals
• Using the rules of integrals
• Evaluating integral expressions
• Determining the area under a curve

### Coursework & Assessment Breakdown

Coursework & Continuous Assessment
40 %
End of Semester / Year Formal Exam
60 %

### Coursework Assessment

Title Type Form Percent Week Learning Outcomes Assessed
1 Moodle quizzes Continuous Assessment Assessment 10 % OnGoing 1,2,3,4,5
2 CA Test Continuous Assessment Assessment 15 % Week 9 1,2,3,4
3 Journal Continuous Assessment Written Report 15 % OnGoing 1,2,3,4,5

### End of Semester / Year Assessment

Title Type Form Percent Week Learning Outcomes Assessed
1 Final exam. Final Exam Closed Book Exam 60 % End of Semester 1,2,3,4,5

Type Location Description Hours Frequency Avg Workload
Lecture Tiered Classroom Lecture 2 Weekly 2.00
Tutorial Computer Laboratory Maths Practical 1 Weekly 1.00
Independent Learning Not Specified Self Study 4 Weekly 4.00
Total Full Time Average Weekly Learner Contact Time 3.00 Hours

### Required & Recommended Book List 2012-09-06 Maths for Science OUP Oxford
ISBN 0199644969 ISBN-13 9780199644964

Maths for Science overturns the misconception that maths is a daunting, theory-filled subject by providing a confidence-boosting overview of essential mathematical skills and techniques. Written in a clear, straightforward style, with examples and practice problems throughout, it is the ideal guide for all science students.

### Module Resources

Non ISBN Literary Resources

None

Journal Resources

None

URL Resources
Other Resources