**Engineering Mathematics – I**

On completion of this course, students are able to

C101.1 |
Use nth derivative of product of two functions and to visualize and calculate the area between two polar curves. |

**C101.2** |
Use partial derivatives to calculate rates of change of multivariate functions |

**C101.3** |
Analyze position, velocity, and acceleration in two or three dimensions using the calculus of vector valued functions. |

**C101.4** |
Recognize and solve first-order ordinary differential equations, Newton’s law of cooling |

**C101.5** |
Use matrices techniques for solving systems of linear equations in the different areas of Linear Algebra. |

**Engineering Mathematics – II**

On completion of this course, students are able to,

C109.1 |
solve differential equations of electrical circuits, forced oscillation of mass spring and elementary heat transfer. |

C109.2 |
solve partial differential equations fluid mechanics, electromagnetic theory and heat transfer. |

C109.3 |
Evaluate double and triple integrals to find area , volume, mass and moment of inertia of plane and solid region. |

C109.4 |
Use curl and divergence of a vector valued functions in various applications of electricity, magnetism and fluid flows. |

C109.5 |
Use Laplace transforms to determine general or complete solutions to linear ODE |

** **

**Engineering Mathematics – III**

**Course Outcomes: **On completion of this course, students are able to:

C201.1 |
Know the use of periodic signals and Fourier series to analyze circuits and system communications. |

C201.1 |
Explain the general linear system theory for continuous-time signals and digital signal processing using the Fourier Transform and z-transform. |

C201.1 |
Employ appropriate numerical methods to solve algebraic and transcendental equations. |

C201.1 |
Apply Green’s Theorem, Divergence Theorem and Stokes’ theorem in various applications in the field of electro-magnetic and gravitational fields and fluid flow Problems. |

C201.1 |
Determine the extremals of functionals and solve the simple problems of the calculus of variations. |

**Engineering Mathematics – IV**

On completion of this course, students are able to:

C209.1 |
Use appropriate single step and multi-step numerical methods to solve first and second order ordinary differential equations arising in flow data design problems. |

C209.2 |
Explain the idea of analyticity, potential fields residues and poles of complex potentials in field theory and electromagnetic theory. |

C209.3 |
Employ Bessel’s functions and Legendre’s polynomials for tackling problems arising in continuum mechanics, hydrodynamics and heat conduction. |

C209.4 |
Describe random variables and probability distributions using rigorous statistical methods to analyze problems associated with optimization of digital circuits, information, coding theory and stability analysis of systems. |

C209.5 |
Apply the knowledge of joint probability distributions and Markov chains in attempting engineering problems for feasible random events. |

**Discrete Mathematical Structures:**

After studying this course, students will be able to:

C204.1 |
Verify the correctness of an argument using propositional and predicate logic and truth tables. |

C204 .2 |
Demonstrate the ability to solve problems using counting techniques and combinatorics in the context of discrete probability. |

C204 .3 |
Solve problems involving recurrence relations and generating functions. |

C204 .4 |
Construct proofs using direct proof, proof by contraposition, proof by contradiction, proof by cases, and mathematical induction. |

C204 .5 |
Explain and differentiate graphs and trees |

**Graduate Attributes (as per NBA)**

- Engineering Knowledge
- Problem Analysis
- Conduct Investigations of Complex Problems