### 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.**