## Module Details

Module Code: MATH S7005 Mathematics & Physics Semester 1 - 2021/22 ( September 2021 ) English
Duration: 1 Semester
 Credits: 5
Module Owner:: Matthew Molloy
Departments: Agriculture, Food and Animal Health
Module Description: This module will introduce the learner to fundamental physical concepts (mechanics, heat, electricity) through a Problem Based Learning (PBL) approach. The learner will use measurement & mathematical techniques to investigate & solve practical and real-world physics problems applied to agriculture. An introduction to critical mathematical concepts & tools (algebra, geometry, frequency charts) will aid the student's ability to solve scientific problems and analyse datasets. Students will demonstrate their understanding by communicating problems and solutions in written reports using graphs & diagrams where necessary and citing relevant sources.

Module Learning Outcome
On successful completion of this module the learner will be able to:
# Module Learning Outcome Description
MLO1 Apply the principles of mechanics & electricity to perform calculations relating to motion (velocity, acceleration), force, energy, current, voltage & resistance. Build and repair simple DC circuits such as an electric motor and series/parallel lighting circuits.
MLO2 Apply the principles of Heat (Transfer), Gas Laws & Pressure to perform calculations relating to temperature, heat, heat capacity, compressed gasses and how they are affected by Temperature, Pressure & Volume.
MLO3 By implementing critical laboratory techniques (e.g., safety, measurement, recording), determine by experiment the physical (e.g., size, dimensions), mechanical (e.g., velocity, energy), electrical (e.g., resistance, voltage) or thermal (e.g., specific heat capacity) properties of a system. Communicate experimental results in a coherent laboratory report using appropriate diagrams, graphs & references.
MLO4 Use numerical, algebraic and graphing skills in a science environment to solve and communicate problems and ideas relating to agriculture & food production. Using trigonometric principles (e.g., Pythagoras' Theorem, Sine/Cosine Rule), calculate the areas & volumes of common shapes/spaces as well as oddly shaped areas (e.g., fields).
MLO5 Employ fundamental statistical techniques to summarise, analyse & interpret data of relevance to agriculture (e.g., crop yield, growth rates, financial data). Describe trends/distributions using descriptive statistics (e.g., mean, mode) and construct summary charts (e.g., histograms, ogives) to meaningfully visualise datasets.
Pre-requisite learning
Module Recommendations
This is prior learning (or a practical skill) that is strongly recommended before enrolment in this module. You may enrol in this module if you have not acquired the recommended learning but you will have considerable difficulty in passing (i.e. achieving the learning outcomes of) the module. While the prior learning is expressed as named DkIT module(s) it also allows for learning (in another module or modules) which is equivalent to the learning specified in the named module(s).
No recommendations listed

Module Indicative Content
Physics - Mechanics
S.I. system of units; Kinetics & Motion; Force, Mass and Weight; Work, Energy and Power; Momentum; Circular Motion.
Physics - Electricity
Electrostatic concepts; D.C. circuits, Energy and Power; Magnets; Magnetic Forces; Motors; Electromagnetic Induction, Generators and Transformers, A.C. and D.C. electricity.
Physics - Heat & Temperature
Heat as energy; Specific heat capacity; Latent heat; Thermal equilibrium; Thermal sensors.
Physics - Gas Laws & Pressure
Density; Measuring Pressure (Pascals, bar, atmospheres); The physics (and dangers) of compressed gas; The ideal gas law (including Boyle's/Charles'/Gay-Lussac law) and how Temperature, Pressure & Volume are related.
Mathematics - Principles of Measurement
Obtain scientific measurements with consideration of significant digits, measurement errors and instrument resolution; Units, scientific notation and use of a calculator; Unit conversions.
Mathematics - Algebra & Trigonometry
Solution of linear, quadratic & simultaneous equations; Transposition of formulae to include indices, logs & trigonometric functions; Measuring angles using degrees & radians, Use of trigonometric principles (e.g., Pythagoras' rule, Cosine rule etc.) to determine odd-shaped areas.
Mathematics - Data Analysis
Collate & organise data into sensible tables; Discrete & continuous data; Scatter plots and determining rates of change; Measure "goodness of fit" to evaluate correlations; Construct frequency tables and generate histograms; Use descriptive statistics to characterise distributions (e.g., mean, mode, variance etc.); Construct Ogives and determine percentiles.
Assessment Breakdown % Module Assessment Course Work 100.00%
Module Special Regulation

## Part Time

Course Work
 Assessment Type Short Answer Questions % of Total Mark 50 Marks Out Of 100 Pass Mark 40 Timing Every Week Learning Outcome 4,5 Duration in minutes 0 Assessment DescriptionWeekly homework assignments will require students to apply mathematical techniques to solve a number of short problems.
 Assessment Type Written Report % of Total Mark 50 Marks Out Of 100 Pass Mark 40 Timing n/a Learning Outcome 1,2,3,4 Duration in minutes 0 Assessment DescriptionReports will be written that should adequately describe a scientific problem and its solution. Appropriate graphs and references will be required. A shared assessment with Mathematics and Physics, Soil Science & Sustainable Farming, and Biology & Chemistry in Agriculture will include a statistical analysis of laboratory data (standard deviation, % error, mean etc.).
 No Project
 No Practical
 No Final Examination
Reassessment Requirement
A repeat examination
Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element.
Reassessment Description
Alternative repeat assessments will be available to students.

DKIT reserves the right to alter the nature and timings of assessment