Course Objectives: The course aims:
- To learn the Laplace Transform, Inverse Laplace Transform of various functions, its applications.
- To understand the concept of Fourier Series, its complex form and enhance the problem-solving skills.
- To understand the basic techniques of statistics like correlation, regression, and curve fitting for data analysis, Machine learning, and AI.
- To understand some advanced topics of probability, random variables with their distributions and expectations
Course Outcomes: On successful completion, of course, learner/student will be able to:
- Understand the concept of Laplace transform and its application to solve the real integrals in engineering problems.
- Understand the concept of inverse Laplace transform of various functions and its applications in engineering problems.
- Expand the periodic function by using the Fourier series for real-life problems and complex engineering problems.
- Understand complex variable theory, application of harmonic conjugate to get orthogonal trajectories and analytic functions.
- Apply the concept of Correlation and Regression to the engineering problems in data science, machine learning, and AI.
- Understand the concepts of probability and expectation for getting the spread of the data and distribution of probabilities.
- Teacher: shantaram raul