Textile Mathematics & Data Analysis detailed Syllabus for Textile Manufactures (TX), K – scheme has been taken from the MSBTE official website and presented for the diploma students. For Subject Code, Subject Name, Lectures, Tutorial, Practical/Drawing, Credits, Theory (Max & Min) Marks, Practical (Max & Min) Marks, Total Marks, and other information, do visit full semester subjects post given below.
For all other MSBTE 2nd Sem Syllabus K – Scheme Textile Manufactures, do visit MSBTE 2nd Sem Syllabus K – Scheme Textile Manufactures Subjects. The detailed Syllabus for textile mathematics & data analysis is as follows.
Rationale
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Course Outcomes:
Students will be able to achieve & demonstrate the following COs on completion of course based learning
- Use suitable units of textile material to estimate output of various machines.
- Solve industry-based technological problems using the basic concept of Mathematical Statistics.
- Develop tabular forms ,graphs & statistical control charts for given numerical data to solve textile related problems.
- Use correlation & linear regression to solve textile related problems.
- Apply the law of motion & machines to solve industry-based technology problems.
Unit I
Units of Textile measurement 1.1 Basic Units of measurement 1.2 Conversion of imperial unit to metric unit & vice versa 1.3 Conversion Chart 1.4 Units of measurement by using concept given in ancient Indian mathematics (IKS) Demonstration Case Study Assignment
Unit II
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Unit III
Graphs & statistical control chart 3.1 Frequency distribution table, 3.2 Graphical representation of data, Histogram, Bar graph, multiple bar graph, sub divided bar graph, percentage bar graph & pie charts. 3.3 Control limits, control chart of range & state its stability. 3.4 Control limits, control chart of mean & state its stability. Case Study Assignment Histogram Bar Graph
Unit IV
Correlation & Lines of regression 4.1 Scatter diagram & significance of the concept of correlation for univariate data. 4.2 Spearman’s rank Correlation coefficient & Karl Pearson’s Correlation coefficient (covariance method) without proof for univariate data 4.3 Relation between correlation coefficient & regression coefficient, equation of line of regression of x on y & y on x (without proof). Demonstration Case Study Assignment
Unit V
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Practical / Tutorial Experiences
- *Use conversion chart to convert textile length & weight parameter from Imperial system to metric system & vice versa .
- Calculate round off errors , Approximate Values, Decimal Places and Significant figures from the given data.
- *Compute the mean,combined arithmatic mean, mode and median for given textile data.
- *Calculate the Standard deviation ,variance & coefficient of variation for given textile material.
- *Use bar graphs, multiple bar graphs & pie charts to compare the given various data.
- Use sub-divided bar graphs& percentage bar graphs to compare the textile related data .
- *Use ogive curve & & histogram method to find median & mode.
- *Calculate the values for the central line, the control limits of mean chart & range chart & comment on the state of control .
- *Use scatter diagram of correlation coefficient for the given data & interpret result .
- *Use spearman’s rank correlation method & Karl Pearson’s correlation method to calculate coefficient from the given data & interpret the result.
- *Use regression coefficients to Calculate correlation coefficient ,equation of line of regression of y on x & x on y for the given data & interprete result .
- Calculate the speed and acceleration of shuttle used in weaving machine .
- *Calculate the revolution per minute of output roller connected to the end of spur gear train.
- Estimate the surface speed of output roller driven by belt and pulley system .
- Calculate the production and efficiency of machine based on given parameters.
Note : Out of above suggestive LLOs – ‘*’ Marked Practicals (LLOs) Are mandatory. Minimum 80% of above list of lab experiment are to be performed. Judicial mix of LLOs are to be performed to achieve desired outcomes.
Micro Project / Self Learning
Micro project
- Prepare chart by collecting photographs of various applications of simple, compound gears in textile area. Make a presentation including short videos.
- Prepare chart of different diagrams showing applications of various belts & make a presentation including short videos.
- Develop the chart of various units of measurement in textile material.
- Collect the Data of Marks obtained by your class in mid sem test. Compute the mean,median and mode of the data and interpret the result using the free open source software ORANGE.
- Prepare a chart graphs like bar graph , multiple bar graph, divided bar graph, percentage bar graph ,line graph, frequency polygon curve and pie chart.
- Collect the Data of Marks obtained by your class in first sem exam. Compute the variance and coefficient of variation of the data and interpret the result using the free open source software ORANGE.
- Collect Model on quality control analysis, energy efficiency assessment, environmental monitoring, and process optimization, for these models, analyze data and calculate variance and standard deviation, make a presentation including short videos.
Assignment
- Compares various set of observations by using line graph, frequency polygon curve .
- Prepare a chart of various types of gears like simple, compound and Epicyclical gears , PIV gears, Planetary gear, differential gear .
- Collect at least 10 examples based on real world applications of standard deviation/variance.
- Collect at least 10 examples based on real world applications of quality control chart.
Note :
Micro-projects are group-based activity (Batch size is 5 to 6 ).
Laboratory Equipment / Software Required
For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier..
Learning Materials / Books
- Grewal B. S. Higher Engineering Mathematics Khanna publication New Delhi , 2013 ISBN: 8174091955
- Gareth James, Daniela Witten, Trevor Hastie Robert and Tibshirani An Introduction to Statistical Learning with Applications in R Springer New York Heidelberg Dordrecht London ISBN 978-1-4614-7137-0 ISBN 978-14614- 7138-7 (eBook)
- Das H.K. Advance Engineering Mathematics S Chand publication New Delhi 2008 ISBN: 9788121903455
- N Gokarneshan Mechanics and calculations of textile machinery A Woodhead Publishing India ISBN: 9780857091048
- J R Nagla Statistics for textile engineers A Woodhead Publishing India ISBN: 9781782420675
- Booth,J.E. Textile mathematics Vol I The textile institute, UK, 1975, ISBN:9780900739163
- Booth,J.E. Textile Mathematics Vol III The textile institute,Manchester,1977, ISBN:090073924X
- S.C.Gupta Fundamentals of statistics Himalaya publishing House , ISBN :978-81-8488-056-4
Learning Websites & Portals
- http://nptel.ac.in/courses/106102064/1 Online Learning Initiatives by IITs and IISc
- www.scilab.org/ -SCI Lab Signal processing, statistical analysis, image enhancement.
For detail Syllabus of all other subjects of Textile Manufactures, K – scheme do visit Textile Manufactures 2nd Sem Syllabus for K – scheme.
For all Textile Manufactures results, visit MSBTE Textile Manufactures all semester results direct links.