[vc_row el_class=”inner-body-content” css=”.vc_custom_1666601640494{padding-top: 30px !important;padding-bottom: 20px !important;}”][vc_column][vc_custom_heading text=”COURSE OBJECTIVES” use_theme_fonts=”yes” css=”.vc_custom_1666601654363{margin-top: 0px !important;}”][vc_column_text]The successful completion of this course would help students in achieving the following objectives:

- Model the problems arising in different areas of science and engineering in the form of differential equations
- Solve the linear 1st order differential equations that appear in circuit analysis, electronics, motion, electric machines etc.
- Solve second order differential equations using different techniques
- Apply 2nd order differential equations to the variety of theoretical problems
- Understand the meaning, use and applications of the partial differential equations

[/vc_column_text][vc_custom_heading text=”COURSE LEARNING OUTCOMES (CLO)” font_container=”tag:h3|text_align:left” use_theme_fonts=”yes”][vc_column_text]

**CLO: 1.** Use the knowledge of calculus to solve the ordinary differential equations by different techniques. (Level: C3)

**CLO: 2.** Apply the concepts of ordinary derivatives for the modeling of physical systems. (Level: C3)

**CLO: 3.** Understand the meaning, use and applications of the partial differential equations. (Level: C2)

[/vc_column_text][vc_custom_heading text=”COURSE CONTENTS” use_theme_fonts=”yes”][vc_column_text css=”.vc_custom_1666601664552{margin-bottom: 0px !important;}”]

**Introduction to Differential Equations – Four Lectures**- Introduction
- Definitions and terminology
- Formulations, order, degree and the linearity of differential equation
- Initial-value problems
- De’s in mathematical models

**First Order Differential Equations – Six Lectures**- Variables separable forms,
- Homogenous equations,
- Non-homogenous equations,
- Exact equations,
- Linear equations,
- Solution by substitutions,
- Exercises

**Applications of First Order DE’s – Five Lectures**- Modeling with the first order differential equations
- Orthogonal trajectories
- Population dynamics
- Applications of linear equations
- Applications of non-linear equations
- Exercises

**Higher Order Linear Differential Equations – Six Lectures**- Introduction and preliminary theory,
- Initial-value and boundary-value problems,
- Homogenous and non-homogenous equations,
- Method of undetermined coefficients,
- Method of variation of parameters,
- Power series solution

**Applications of the Second Order Differential Equations – Five Lectures**- Spring mass problems,
- Electrical engineering related problems

**Introduction to Partial Differential Equations – Six Lectures**- Basic concepts,
- Vibrating string,
- Wave equation,
- Separation of variables,
- Heat equation solution by Fourier series.
- Exercises

[/vc_column_text][/vc_column][/vc_row]