Course: MAT 112 2.0 Differential Equations (Compulsory)
Course Content:
Introduction, Basic concepts, Classifications, Qualitative methods, , Initial conditions, Stability, First order differential equations, Linear equations, Separable equations, Exact equations & Integrating factor, Homogeneous equations, The existence & uniqueness theorem, Bernoulli equation, Application of first order differential Equations, Trajectories, Orthogonal trajectories, Self-orthogonal family of curves, Second order linear differential equations, Homogeneous differential equations with constant coefficients, Fundamental solutions, Linear independence of solutions & the Wronskian, Non homogeneous equations, Applications of second order differential equations, System of Simultaneous Differential Equations , Linear system of equations, Linear independence solutions , Infinite-Series Solutions, The method for Frobenius, Introduction to partial differential equations , Introductory concepts, Linear partial differential equations of order one, Homogeneous partial differential equations of higher order with constant coefficients, Non Homogeneous linear equations with constant coefficients.
Recommend Readings:
- Elementary differential equations & Boundary Value Problems -William E. Boyce, Richards C. Diprima
- Schaum’s Solved Problems Series – Differential Equations
- Elementary Differential Equations with Boundary Value Problems William F. Trench, 2013