Matrix Algebra, Eigenvalues and Eigenvectors, Theorems of integral calculus, Partial derivatives, Maxima and minima, Multiple integrals, Stokes, Gauss, and Green's theorems. The first-order differential equation (linear and nonlinear), Cauchy's and Euler's equations, Complex variables, Taylor's and Laurent's series, Sampling theorems, Mean, Median, Mode, and Standard deviation, Random variables, Discrete and Continuous Distributions, Fourier transform, Laplace transform, Z-transform.
AFCAT Syllabus for Engineering Physics
Description of Motion in One, Two, and Three Dimensions, Units for measurement, Work, Energy and Power, Rotational Motion, Gravitation, Electrostatics, Electric Current, Heat and Thermodynamics, Magnetic Effect of Currents, Electromagnetic Induction and Alternating Currents and Electromagnetic Waves, Magnetism, Ray Optics, and Optical Instruments, Laws of Motion, etc.
Introduction to Computer-Aided Drafting, Projection of straight line, planes and solids, Isometric Projection, Sectional Views of solids, Full section, Intersection of surfaces.