BT-202 Mathematics‑II Notes
5 notes for Mathematics‑II, unit by unit.
Notes for BT-202
- Unit 1 · Short notes Ordinary Differential Equations I Differential equations of first order and first degree (Leibnitz linear, Bernoulli’s, Exact) · Differential equations of first order and higher degree · Higher‑order differential equations with constant coefficients · Homogeneous linear differential equations · Simultaneous differential equations
- Unit 2 · Short notes Ordinary Differential Equations II Second‑order linear differential equations with variable coefficients · Method of variation of parameters · Power‑series solutions · Legendre polynomials · Bessel functions of the first kind and their properties
- Unit 3 · Short notes Partial Differential Equations Formulation of partial differential equations · Linear and non‑linear partial differential equations · Homogeneous linear partial differential equations with constant coefficients
- Unit 4 · Short notes Functions of Complex Variable Analytic functions · Harmonic conjugate · Cauchy‑Riemann equations (without proof) · Line integral · Cauchy‑Goursat theorem (without proof) · Cauchy integral formula (without proof)
- Unit 5 · Short notes Vector Calculus Differentiation of vectors · Scalar and vector point functions · Gradient and its geometrical meaning · Directional derivative · Divergence and curl · Line integral, surface integral and volume integral
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