MATH06072 2019 Mathematics for Science 3
Full Title
Mathematics for Science 3
Transcript Title
Mathematics for Science 3
Code
MATH06072
Attendance
N/A %
Subject Area
MATH - 0541 Mathematics
Department
LIFE - Life Sciences
Level
06 - 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 Medical Biotechnology
SG_SBIOM_C06 202100 Higher Certificate in Science in Biomedical Science
SG_SBIOS_H08 202300 Bachelor of Science (Honours) 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
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 | Coursework Assessment | Assessment | 10 % | OnGoing | 1,2,3,4,5 |
| 2 | CA Test | Coursework Assessment | Assessment | 15 % | Week 9 | 1,2,3,4 |
| 3 | Journal | Coursework Assessment | Written Report/Essay | 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 |
Full Time Mode Workload
| 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
Required Reading
2012-09-06 Maths for Science OUP Oxford
ISBN 0199644969 ISBN-13 9780199644964
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
Additional Information
None