Topics: abstract Algebra, linear Algebra, Sets, Cartesian products, Hausdorff maximality principle, groups, Homomorphisms, permutations, rings, domains, fields, Polynomial rings, Chinese remainder theorem, Boolean rings, matrices, matrix rings, Systems of equations, Determinants, Summands, transpose principle, Nilpotent homomorphisms, Jordan canonical form, Eigenvalues, Euclidean domains, jordan blocks, Jordan canonical form

Topics: Microbiology, microbial metabolism, microbial growth, microbial genetics biotechnology, DNA technology, microorganisms classification, prokaryotes, domains bacteria, archaea, Eukaryotes, fungi, algae, protozoa, Helminths, epidemiology, pathogenicity, innate immunity, adaptive immunity, antimicrobial drugs, microbial diseases, human disease, environmental microbiology, applied microbiology, industrial microbiology

Topics: Magnetism, Magnetic domains, magnet, magnetic poles, magnetic fields, magnetic materials

Topics: complex numbers, complex variable, analytic functions, line integrals, entire functions, analytic functions, simply connected domains, residue theorem, Contour Integral Techniques, conformal mapping, Riemann mapping theorem, maximum-modulus theorem, harmonic functions, analytic continuation, gamma functions, zeta functions

Topics: relations, set, set operation, integer, modular arithmetic, groups, factor groups, homomorphism, direct products, finite abelian groups, automorphism, morphism, symmetric group, alternating group, sylow theorem, rings, factor rings, isomorphism, domains, Irreducible Polynomials, vector spaces, field extensions, public key cryptography, straightedge, compass constructions