Engineering Mathematics -III

Course Objectives:

  1. To familiarize with the Laplace Transform, Inverse Laplace Transform of various functions, and its applications.
  2.  To acquaint with the concept of Fourier series, its complex form and enhance the problem solving skills.
  3. To familiarize the concept of complex variables, C-R equations with applications.
  4. The fundamental knowledge of Trees, Graphs etc.
  5. To study the basic techniques of statistics like correlation, regression and curve fitting for data analysis, Machine learning and AI.
  6. 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:
  1. Apply the concept of Laplace transform to solve the real integrals in engineering problems.   (Blooms Level L1, L2)
  2. Apply the concept of inverse Laplace transform of various functions in engineering problems. (Blooms Level L1, L2)
  3. Expand the periodic function by using Fourier series for real life problems and complex engineering problems. (Blooms Level L1, L2, L3)
  4. Find orthogonal trajectories and analytic function by using basic concepts of complex variable theory. (Blooms Level L1, L2, L3)
  5. Apply the concept of Correlation and Regression to the engineering problems in data science, machine learning and AI. (Blooms Level: L2, L3)
  6. Illustrate understanding of the concepts of probability and expectation for getting the spread of the data and distribution of probabilities. (Blooms Level L1, L2)