DIFFERENTIAL EQUATIONS

Course Description

In this course, the ordinary differential equations and their applications will be considered. The course will demonstrate the usefulness of ordinary differential equations for modelling physical and engineering problems. Complementary mathematical approaches for their solution will be presented, including analytical methods. The basic content of the course includes first order ordinary differential equations and their types of exact, separable, Bernoulli, first order, homogeneous ordinary differential equations, linear independence of the solutions, higher order ordinary differential equations and their solutions. The undetermined coefficient methods, the variation of the parameter method, Cauchy-Euler equations. The definition of the Laplace transform and some important applications of the Laplace transform will be included in this lecture.

DIFFERENTIAL EQUATIONS

Evaluation Tools (Active Term)

Course outcomes

1. 01 Recognize the ordinary differential equations with their orders
2. 02 Classify the type of ordinary differential equations
3. 03 Apply solution methods for first order differential equations
4. 04 Solve the higher order constant coefficient differential equations
5. 05 Apply Laplace transform for solutions of initial value problems

Course Syllabus

Reference Books & Course Materials

1. 01 S.L. Ross, Introduction to Ordinary Differential Equations, Fourth edition, John Wiley & Sons, 1989.
2. 02 Differential Equations and Linear Algebra, 2nd edition, by Edwards Penney, Pearson Education.

Learning Outcomes

1. L01 Recognize the ordinary differential equations with their orders
2. L02 Classify the type of ordinary differential equations
3. L03 Apply solution methods for first order differential equations
4. L04 Solve the higher order constant coefficient differential equations
5. L05 Apply Laplace transform for solutions of initial value problems

Program Outcomes

1. P01 Demonstrate comprehensive knowledge of key concepts across the breadth of effective application and use of MIS and innovative information technologies in organizations.
2. P02 Demonstrate autonomy and responsibility in managing MIS projects and improving organizational processes
3. P03 Demonstrate comprehensive understanding of appropriate enterprise frameworks, theories from the MIS to research and assess contemporary issues in the field and related allied fields and disciplines
4. P04 Apply MIS knowledge to facilitate the acquisition, development, deployment, and management of information systems
5. P05 Apply MIS knowledge to the exploitation of opportunities created by information technology innovations ensuring the alignment between MIS strategy and organizational strategy
6. P06 Demonstrate ethical reasoning in relation to crucial MIS issues such as privacy, information security, and ethical use of information
7. P07 Apply appropriate technologies and techniques to the collection and analysis of organizational and environmental data to facilitate evidence-based decision-making
8. P08 Analyse organizational data to accurately identify organizational problems and propose solutions using MIS
9. P09 Apply effective communication skills consistent with the professional environment
10. P10 Apply effective collaboration skills consistent with the professional environment

Po-Lo Matrix