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### Industrial Mathematics Course Description

#### Level III – Semester I

IMT3b1β : Industrial Mathematics Project ( 90 project hrs) -(Credit Value 2.5)
This includes a real world problem solving task, using mathematical (modelling) techniques and computational tools that the student has learnt in Level-I, II and III.
Method of assessment: Practical examination/assignments/project report and the end of semester oral examination and/or presentation.

IMT312β : Mathematical Modelling-III (30 lecture hrs + 15 tutorial hrs) -Op. for students following Industrial Mathematics, Prerequisite IMT222β or IMT223β ( Credit Value 2.5)
Solution of Linear Differential Equations by Laplace Transforms, Mathematical Modelling through Graphs, Mathematical Modelling Through Calculus of Variations and Dynamic Programming or Special Topics and/or Project,Stochastic Modelling, A survey on Ancient Sri Lankan Science and Technological Methods, Topics in Mathematical Modelling of Life-Environmental relationships.
Method of assessment: end of semester examination

IMT313β : Applied Statistics-II (30 lecture hrs + 15 tutorial hrs) -Op. for students following Industrial Mathematics, Prerequisite IMT224β (Credit Value 2.5)

Testing hypotheses about many population means: Introduction to analysis of variance, Linear model for analysis of variance, variability as sum of squares, Test statistics and rejection rules. The population regression: Formulating hypotheses about regression, Analysis of Variance for regression Nonparametric tests: Chi-square test,Contingency tables (test for independence), Kolmogorov-Smirnov test,The sign test, The Rank test (Mann-Whitney U-test), Runs test (one sample runs test, two sample runs test), Kruskal- Walis, H-test
Method of assessment: end of semester examination

Level III – Semester II

Refer the Optional course units offered by the department of Mathematics for Level III- Semester II, for details.