| Course Synopsis |
This course focuses on two basic applications: Differential Calculus and Integral Calculus. Under these, we will study different techniques and some Fundamental theorems of calculus in multiple dimensions for example Stokes theorem, Divergence theorem, Greens theorem, Other topics of discussion are Limits and Continuity, Extreme values, Fourier series and Laplace transformations.
| Course Learning Outcomes |
Upon successful completion of this course, you should be able to:
- Determine Limits and Continuity of multi-variable function
- Evaluate Partial Differentiation and will know the related techniques.
- Apply the concept of Extreme-Values of multi-variable functions to real world problems.
- Solve Double Integral for Cartesian and Polar co-ordinates and can do their inter-conversions
- Find Triple Integrals in rectangular, spherical and cylindrical co-ordinates.
- Apply Multiple Integrals for area and volume problems.
- Apply elementary operations on Vector-Valued function
- Compute arc-length and solve problems regarding change of parameter.
- Evaluate Line, Surface and Volume integral.
- State Green’s Theorem, Divergence Theorem and Stoke’s Theorem and show how these theorems are applied.
- Find Fourier Series of given periodic function.
- Solve problems related to Laplace Transformation.