Applied Mathematics – III detailed syllabus scheme for Printing & Packaging Technology (PP), 2017 regulation has been taken from the University of Mumbai official website and presented for the Bachelor of Engineering students. For Course Code, Course Title, Test 1, Test 2, Avg, End Sem Exam, Team Work, Practical, Oral, Total, and other information, do visit full semester subjects post given below.
For all other Mumbai University Printing & Packaging Technology 3rd Sem Syllabus 2017 Pattern, do visit PP 3rd Sem 2017 Pattern Scheme. The detailed syllabus scheme for applied mathematics – iii is as follows.
Applied Mathematics – III Syllabus for Printing & Packaging Technology SE 3rd Sem 2017 Pattern Mumbai University
Course Objectives:
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Course Outcomes:
Upon successful completion of this course, the learner will be able to.
- Obtain and invert Laplace Transform using standard results and shifting theorem.
- Determine eigen values &eigen vectors of a matrix and power or exponential of a matrix using them.
- Formulate and analyze mathematical problems followed by drawing clear and reasonable conclusions.
- Infer about a particular sample with high degree of reliability.
- Formulate and analyze statistical problems followed by drawing clear and reasonable conclusions.
- Apply fourier transform in engineering learning
Module 1
Laplace Transform: Definition of Laplace Transform, Laplace Transform of standard functions, Properties(Linearity, Change of scale) and theorems (First shifting, second shifting) (without proofs), Laplace Transform of Unit Step. Inverse Laplace Transform: To determine Inverse Laplace Transform by partial fraction method, Convolution Theorem (without proof). Application of Laplace Transform to solve differential equations 12
Module 2
Fourier Series & Fourier Transforms: Orthogonal and Orthonormal set of functions, Dririchlets conditions, Fourier series of periodic functions, Even and Odd functions, Half range Sine and cosine series Fourier Integral theorem (Proof not required) – Fourier Sine and Cosine integral representations. Fourier Transforms – Fourier Sine and Cosine Transforms. 12
Module 3
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Module 4
Matrices: Eigen values and Eigen vectors, properties (without proof), Caley Hamilton Theorem (only statement) and its applications 6
Module 5
Probability & Statistics: Random variables – Probability distributions (Poisson & Normal) moments, moment generating functions. Testing of Hypothesis -Large sample tests-Test of Significance difference between sample mean and Opulation mean, means of two samples, Small sample tests (Students t, F, Chi square). 12
Theory Examinations:
- End Semester University examination for 80 marks will have :
- Question paper with 6 questions, each of 20 marks.
- Only 4 questions need to be answered.
- Question 1 will be compulsory and based on maximum part of the syllabus.
- Remaining each of 5 questions will be based on combination of modules. ( e.g., Q2 has part a and b from two different modules ).
- Internal Assessment for 20 marks:Assessment consists of compulsory two tests out of which first test should be class test (on minimum 40% of curriculum) and the other is either a class test (from remaining 60% of curriculum) or assignment on live problems.
Reference Books:
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 pdf platform to make students’s lives easier..
For detail syllabus of all other subjects of Printing & Packaging Technology (PP) 3rd Sem 2017 regulation, visit PP 3rd Sem Subjects syllabus for 2017 regulation.