## Course Detail

 Course Name Laplace Transforms Course Code 19MAT206 Program B. Tech. in Aerospace Engineering Semester Three Year Taught 2019

### Objectives & Outcomes

Objectives

• Understand the definition Laplace transform and its properties
• Apply Laplace transform to solve the differential equations.

Course Outcomes

• CO1: To understand the Laplace transform and its properties.
• CO2: Apply the Laplace transform to solve differential equations.

CO – PO Mapping

 PO/PSO/CO PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 CO1 1 3 CO2 1 2 2

### Syllabus

Laplace Transforms, Inverse Transforms, Linearity, Shifting, Transforms of Derivatives and Integrals, Differential Equations, Unit Step Function, Second Shifting Theorem, Dirac’s Delta Function. Differentiation and Integration of Transforms. Convolution, Integral Equations, Partial Fractions, Differential Equations, Systems of Differential Equations. (Sections: 6.1 to 6.7)

Lab Practice: Laplace transform for different functions.

### Textbook/Reference

Textbook(s)

• Advanced Engineering Mathematics, E Kreyszig, John Wiley and Sons, Tenth Edition, 2018.

Reference(s)

• ‘Engineering Mathematics’, Srimanta Pal and Subhodh C Bhunia, John Wiley and Sons, 2012, Ninth Edition
• Advanced Engineering Mathematics by Dennis G. Zill and Michael R.Cullen, second edition, CBS Publishers, 2012.

Evaluation Pattern

At the end of the course, a two-hour test will be conducted for 50 marks. The marks will be converted to 100 for grading.

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