Download Mathematical methods 2-2013-2017 - MTH202 Past Question PDF

Topics: Linear algebra, vector, Reduced Row-Echelon Form, vector operations, linear combinations, spanning sets, linear independence, orthogonality, matrices, matrix operation, matrix multiplication, matrix inverses, vector spaces, subspaces, matrix determinants, Eigenvalues, Eigen vectors, linear transformations, Injective Linear Transformations, Surjective Linear Transformations, Invertible Linear Transformations, vector representations, matrix representations, complex number operations, sets

Topics: Linear Algebra, Algebra of Matrices, matrix, Determinants, Matrix Inverse, Systems of Linear Equations, Vector Space, linear equation, Subspaces of Vector Spaces, Rank of a Matrix, Linear Transformations, Linear Transformation, Homogeneous Systems of Linear Equations, Non-Homogeneous Systems of Linear Equations, Eigenvalue, Eigenvector, Minimal Polynomial, Matrix Polynomial, Companion Matrix, Similar Matrix, Diagonal Matrix, Triangular Matrix

Topics: vector, matrix, determinants, linear systems, cramer rule, rouche-capelli, cayley-hamiliton

Topics: Vector Quantization, Signal Compression, random proocesses, linear systems, probability, sampling, periodic sampling, linear prediction, Elementary Estimation Theory, Finite-Memory Linear Prediction, Levinson-Durbin Algorithm, Minimum Delay Property, scalar coding, Scalar Quantization, Predictive Quantization, Delta Modulation, Difference Quantization, Bit Allocation, Transform Coding, Karhunen-Loeve Transform, Performance Gain of Transform Coding, entropy coding, Variable-Length Scalar Noiseless Coding, huffman coding, Vector Entropy Coding, Ziv-Lempel Coding, Constrained Vector Quantization, Predictive Vector Quantization, Finite-State Vector Quantization, Tree and Trellis Encoding, Adaptive Vector Quantization, Variable Rate Vector Quantization

Topics: Scalars, vectors, scalar quantities, vector quantities, resultant vector

Topics: Cramer’s Rule, Inverse of a matrix, matrix, Solution of linear system of equations

Topics: algebraic structures, matrix, echelon form, Gaussian elimination, linear system, vector space, linear map, linear form, bilinear form, Euclidean vector space, unitary vector space, eigenvalue, endomorphism, polynomials, theory of algebra, cyclic subspace, duality, Jordan canonical form, matrix function, singular value decomposition, Kronecker product, linear matrix

Topics: Numerical Analysis, errors, algebraic equations, transcendental equations, finite differences, interpolation, central difference interpolation formulae, inverse interpolation, numerical differentiation, numerical integration, curve fitting, Eigen values, Eigen vectors, Regression analysis

Topics: Motion, Probability, Gravitation, Dynamics, Momentum, Vector, force, work, Electromagnetism, Differential Calculus, Vector Fields, Vector Integral Calculus, Electrostatics, Gauss Law, Electric Field, Electrostatic Energy, Dielectrics, Electrostatic Analogs, Magnetostatics, Magnetic Field, Vector Potential, Induced Current, motor, generator, transformer, inductance, induction, maxwell equation, Principle of Least Action, AC Circuit, Cavity Resonator, Waveguide, Electrodynamics, Lorentz Transformation, Field Energy, Field Momentum, Electromagnetic Mass, Tensors, Refractive Index, Magnetism, Ferromagnetism, Magnetic Materials, Elasticity, Elastic Materials, Curved Space, Quantum Behavior, Particle Viewpoints, Probability Amplitudes, Identical Particles, Spin One, Spin One-Half, Hamiltonian Matrix, Ammonia Maser, Two-State Systems, Hyperfine Splitting, Crystal Lattice, Semiconductors, Independent Particle Approximation, Symmetry, Conservation Laws, Angular Momentum, Hydrogen Atom, Periodic Table, Operators, Schrodinger Equation, Superconductivity

Topics: vector, scalar, vector addition, vector subtraction, vector multiplication, Newton's law

Topics: Linear Algebra, Matrix algebra, matrix multiplication, Equivalent Systems, Elementary Operations, Gaussian Elimination, Echelon Matrices, Row Canonical Form, Row Equivalence, Matrix Formulation, Elementary Matrices, LU Decomposition, vector spaces, Linear Combinations, spanning sets, Full Rank Factorization, Least Square Solution, linear mappings, Cauchy–Schwarz Inequality, Gram–Schmidt Orthogonalization, determinants, diagonalization, Eigenvalues, Eigenvectors, Cayley–Hamilton Theorem, canonical forms, linear functionals, dual space, bilinear form, quadratic forms, Hermitian Form, linear operators

Topics: Limits, Continuity, Calculus, differentiation, Transcendental Functions, Integration, Integration techniques, conics, parametric curves, polar curves, sequence, series, power series, vectors, Coordinate Geometry, vector functions, vector curves, partial differentiation, partial derivatives, multiple integration, vector fields, vector calculus, Differential Forms, Exterior Calculus, Ordinary Differential Equations

Topics: motion, speed, displacement, velocity, acceleration, free fall, projectile motion, vector, vector representation, vector addition, vector multiplication, Newton's law, weight, work, energy, power, mechanical energy, machine, linear momentum, angular velocity, circular motion, oscillation, rotational dynamics, compound pendulum, static equilibrium, hydrodynamics, temperature, thermometers, temperature scale, Gas laws, thermal expansion, linear expansion, heat capacity, latent heat, thermal conduction, thermal conductivity, thermodynamics, heat transfer

Topics: Vector geometry, vectors, vector multiplication, vector subtraction

Topics: Mechanics, Units, dimensions, scalars, vectors, vector algebra, geometric vector addition, vector addition, unit vectors, velocity, acceleration, force, impulse, work, energy, power, mechanical energy, kinetic energy, potential energy, power

Topics: fundamental quantities, derived quantities, dimension, scalars, vectors, vector representation, unit vectors, vector multiplication, kinematics, displacement, speed, velocity, acceleration, freely falling bodies, projectile motion, horizontal projectile motion, Newton's laws of motion, elastic collision, inelastic collision, friction, circular motion, gravitation, angular speed, angular acceleration, conical pendulum, Banking, free-fall acceleration, gravitational potential energy, satellite motion, velocity escape, Kepler's law, work, energy, power, energy conversion, Kinetic energy, conservative forces, vector moment, mechanical equilibrium, rigid bodies rotation, moment of Inertia, Parallel Axis theorem, Hooke's law, stress, strain, density, fluid mechanics, fluid pressure, Pascal's Principle, Buoyancy principle, Archimedes Principle. fluid dynamics, Bernoulli principle, surface tension, Poiseuille's law, capillarity, Stoke's law, thermal physics, temperature scales, thermometers, Zeroth law of thermodynamics, thermal expansion, thermal stress, heat quantity, Latent heat, heat transfer, conduction, convection, radiation, Gas laws, Kinetic theory of gases, Thermodynamic processes, Adiabatic processes, Isobaric processes, Isochoric processes, Thermal efficiency, Carnot cycle, Refrigerator, Entropy

Topics: vector space, linear map, polynomial, Eigenvalues, Eigenvectors, Invariant Subspaces, inner product space, complex vector spaces, real vector space, trace, determinant

Topics: Calculus, limits, continuity, transcendental function, differentiation, integration, conics, parametric curvess, polar curves, sequence, series, power series, vectors, coordinate geometry, vector functions, curves, partial differentiation, multiple integration, vector fields, vector calculus, differential forms, exterior calculus, ordinary differential equations

Topics: set, Venn diagram, relation, operation, natural numbers, integer, natural number, real number, complex number, group, ring, integral domain, division ring, field, polynomial, vector space, matrix, matrix polynomial

Topics: Electromagnetism, Differential Calculus, Vector Fields, Vector Integral Calculus, Electrostatics, Gauss Law, Electric Field, Electrostatic Energy, Dielectrics, Electrostatic Analogs, Magnetostatics, Magnetic Field, Vector Potential, Induced Current, motor, generator, transformer, inductance, induction, maxwell equation, Principle of Least Action, AC Circuit, Cavity Resonator, Waveguide, Electrodynamics, Lorentz Transformation, Field Energy, Field Momentum, Electromagnetic Mass, Tensors, Refractive Index, Magnetism, Ferromagnetism, Magnetic Materials, Elasticity, Elastic Materials, Curved Space