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Hotel Management and Hospitality Management both are the same. Just that in a newer trend people tend to call it Hospitality Management, but it is also known as Hotel Management. The first thing we do when a guest comes to the hotel is we provide Hospitality and that is what we will be studying how Hospitality is provided to the guest in various departments. Tourism is a different sector from hospitality, which is working for travel by being tour operators, travel agent who sells various services of the hotel and tourist destination to the guest at one place. We study more about tourism in this aspect. This is what the difference between hotel management and Tourism and Hospitality course.

VITMEE 2018 Electronics and Communication Engineering Syllabus
ENGINEERING MATHEMATICS
Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors. Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improperintegrals, Partial Derivatives, Maxima and minimal, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Greens theorems. Differential equations: First order equation (linear and nonlinear), Higher order linear differentialequations with constant coefficients, Method of variation of parameters, Cauchys and Eulers equations, Initial and boundar y Value problems, Partial Differ re ntial Equations and variable separable method. Complex variables: Analytic functions, Cauchys integral theorem and integral formula, Taylors andLaurent series, Residue theorem, solution integrals. Numerical Methods: Solutions of non-linear algebraic equations, single and multi-s tep methodsfo r differential equations. Transform Theory y: Fourier transform, Laplace transform, Z-transform. NETWORK graphs: Matrices associated with graphs; incidence, fundamental cut set and fundamentalcircuit matrices. Solution methods; nodal and mesh analysis. Network theorems; superposition, Thevenin and Nortans, maximum po wer transfe r, wye-delta transformation, steady state sinusoidal analysis using phasors, fourier series, linear constant coefficient differential and difference equations; time domain analysis of simple RLC circuits. Laplace and Z transforms: frequency domain analysis of RLC circuits, convolution, 2-port network parameters, driving point and transfer functions, state equation for networks. Analog Circuits: Characteristics and equivalent circuits (large and small signal) of diodes, BJT, JFETsand MOSFET simple diode circuits: clipping, clamping, rectifier, biasing and bias stability of transistor and FET amplifiers. Amplifiers: single and multi-s stage, differential, operational, feedback and power. Analysis of amplifiers; frequency response of amplifiers. Simple op-amp circuits. Filters. Sinusoidal oscillators: criterion for osci llation; single-transis tor and op-amp configurations. Function generators and waveshaping circuits, Power supplies.

No, entrance exam is not mandatory for admission to D.Pharma however many colleges admit students to a D.Pharma course via entrance exams. I have mentioned the admission process for D.Pharma below. D.Pharma Admission Process
Most institutes offering the D. Pharmacy course admit students based on performance in a relevant entrance test, often followed by a round of personal interview, wherein their general aptitude for the course is tested. Admission process generally varies across colleges. A few institutes also provide direct admission based on the candidates performance at the 10+2 level. Some of such entrance tests conducted in India are:
GPAT
UPSEE
JEE Pharmacy
AU AIMEE Pharmacy
CPMT
PMET.