Topics: Ordinary Differential Equations, Separable Ordinary Differential Equations, exact Ordinary Differential Equations, linear Ordinary Differential Equations, Orthogonal Trajectories, Homogeneous Linear Ordinary Differential Equations, Differential Operators, Euler–Cauchy Equations, Higher Order Linear Ordinary Differential Equations, nonlinear Ordinary Differential Equations, Power Series, egendre’s Equation, Legendre Polynomials, Extended Power Series, Frobenius Method, Bessel’s Equation, Bessel Functions, Laplace Transforms, First Shifting Theorem, Linear Algebra, Vector Calculus, Matrices, Vectors, Determinants, Linear Systems, Determinants, Cramer’s Rule, Gauss–Jordan Elimination, linear transformation, Matrix Eigenvalue Problems, Eigenvalues, Eigenvectors, Eigenbase, Vector Differential Calculus, vector product, Vector Integral Calculus, Integral Theorems, line integrals, Surface Integrals, Stokes’s Theorem, Fourier Analysis, Partial Differential Equations, Fourier series, Sturm–Liouville Problems, Forced Oscillations, Fourier Integral, Fourier Cosine, Sine Transforms, Fourier Transform, Fast Fourier Transforms, Rectangular Membrane, Double Fourier Series, heat equation, Complex Numbers, Complex Differentiation, Cauchy–Riemann Equations, Exponential Function, Complex Integration, Cauchy’s Integral Formula, Cauchy’s Integral Theorem, Taylor series, Laurent Series, Residue Integration, Conformal Mapping, Complex Analysis, Potential Theory, Numeric Analysis, Numeric Linear Algebra, Unconstrained Optimization, Linear Programming, Combinatorial Optimization, Probability, Statistics, Data Analysis, Probability Theory, Mathematical Statistics

Topics: Electricity, charge, DC Circuits, Network terminology, electrical networks, energy source, Ohm's law, short circuit, open circuit, source transformation, Kirchhoff's law, Cramer's rule, star and delta connection, superposition theorem, Thevenin's theorem, Norton's theorem, maximium power transfer theorem, loop current, magnetic circuit, magnetic flux, pole strength, permeability, magnetomotive force, magnetic circuits, electromagnetic induction, electrostatics, electric flux, capacitor, AC waveform, phasor, impedance, capacitance reactance, complex power, star delta, transformer, magnetic losses, autotranformer, three phase, polyphase AC circuit

Topics: Tension, Compression, Shear, Axially Loaded Members, torsion, Shear Forces, Bending Moments, stress analysis, strain analysis, plane stress, Deflections of Beams, Statically Indeterminate Beams, columns, materials

Topics: Tension, Compression, Shear, Axially Loaded Members, torsion, Shear Forces, Bending Moments, stress analysis, strain analysis, plane stress, Deflections of Beams, Statically Indeterminate Beams, column, materials

Topics: Engineering Drawing, Engineering Drawing Instruments, Lettering, Descriptive Geometry, Geometric Constructions, tangency, Dimensioning, Conventions, Orthographic Projections, Isometric Projections, sectioning, loci, development, freehand sketching, machine drawing

Topics: ideal gas model, ideal gas, mechanical energy, work, heat transfer, power cycles, refrigeration, heat pump cycles

Topics: Engineering Drawing, Graphic Communication, Drawing Equipments, lettering, geometric construction, projection, isometric drawing, Orthographic Projection, sectioning, Dimensioning, mapping, Building Drawing

Topics: material science, corrosion, forming process, sheet metalworking, metal forming, mechanical porperties, mechanical porperty testing, hardness test, Brinell hardness number, Vickers hardness number, diamond pyramid hardness, Rockwell hardness testing, tension test, fatique testing, creep testing, tensil test, radiography, magnetic particle inspection, magnetic particle crack detection, dye penetrant testing, ultrasonic flaw detection, eddy current, electro-magnetic methods, eddy current testing, non-destructive testing methods, magnetic properties

Topics: Materials Science, materials Engineering, Rutherford model, Bohr model, atom, De- Broglie’s atomic model, Atomic bonding, ionic bonding, covalent bonding, Secondary Bonding, metallic bonding, Fluctuating Induced Dipole Bonds, Polar Molecule-Induced Dipole Bonds, Permanent Dipole Bonds, Crystallography, crystal structures, Crystal Lattice, Bravais lattices, Metallic Crystal Structures, Polycrystalline Materials, Non-Crystalline Solids, Miller Indices, Point Defects, Mechanical Properties of Metals, Stress-Strain curve, Elastic deformation, plastic deformation, Tensile Properties, Brinell Hardness Test, Micro-hardness Test, Knoop Hardness Test, Scleroscope Hardness Test, durometer, fracture, creep, dislocation, Solid-Solution Strengthening, Microstructural Exam, Grain size determination, carbon steel, cast iron, alloy, Dielectric Materials, Dielectric strength, Intrinsic dielectric strength, Magnetic Properties, Diamagnetism, Ferromagnetism, Ferrimagnetism, Hard Magnetic Materials, Extrinsic Semiconductor, semiconductor

Topics: Chemistry, matter, Stoichiometry, Chemical Reactions, Kinetic-Molecular Theory, Thermochemistry, Quantum Theory, Atomic Structure, Electron Configuration, Chemical Periodicity, chemical bonding, Shapes of Molecules, covalent bonding, Intermolecular Forces, Periodic Patterns, Organic Compounds, carbon, chemical reactions, chemical kinetics, chemical equilibrium, Acid-Base Equilibria, Ionic Equilibria, Thermodynamics, Entropy, Free Energy, Reaction Direction, Electrochemistry, Chemical Change, Electrical Work, Transition Elements, nuclear reactions