TMISAT - Syllabus

Tolani Maritime Institute Science Aptitude Test

Computer Based Test

TMISAT 2023 Syllabus: Subject wise Syllabus

Updated On - March 31 2023 by Divyansh K

TMI SAT 2023 is conducted by the Tolani Maritime Institute (TMI) at the national level. TMI Science Aptitude Test is held to offer admission to all deserving candidates into B. Tech Marine Engineering and B.Sc. Nautical Science at the Tolani Maritime Institute. Candidates who wish to take admission in  Lateral Entry into B.Tech. Marine Engineering (2nd year) program is also offered by the TMI. TMI SAT Syllabus consist of the syllabus of class 12 Physics, Mathematics and Logical Reasoning. Applicants go through the given below article of the Tolani Maritime Institute SAT 2023 Syllabus.

TMISAT 2023 Syllabus

Candidates must check the given below information of subject-wise syllabus of TMISAT 2023:

TMISAT Syllabus of Mathematics

Set, Relation and FunctionSets and their representation: Union, intersection and complement of sets and
their algebraic properties; Power set; Relation, Type of relations, equivalence
relations, functions; one-one, into and onto functions, the composition of functions.
Complex Number and Quadratic EquationComplex numbers as ordered pairs of reals, Representation of complex numbers
in the form a + ib and their representation in a plane, Argand diagram, algebra of
complex number, modulus and argument (or amplitude) of a complex number,
the square root of a complex number, triangle inequality, Quadratic equations in real and complex number system and their solutions Relations between roots and coefficient, nature of roots, the formation of quadratic equations with given roots
Matrics and DeterminantsMatrices, algebra of matrices, type of matrices, determinants and matrices of
order two and three, properties of determinants, evaluation of determinants,
area of triangles using determinants, Adjoint and evaluation of inverse of a
square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables
using determinants and matrices. 
Permutation and CombinationThe fundamental principle of counting, permutation as an arrangement and combination as section, Meaning of P (n,r) and C (n,r), simple applications.
Sequence and SeriesArithmetic and Geometric progressions, insertion of arithmetic, geometric means
between two given numbers, Relation between A.M and G.M sum up to n terms
of special series; Sn, Sn2, Sn3. Arithmetic-Geometric progression
Limit, Continuity and Differentiability Real – valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse function. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric,
logarithmic, exponential, composite and implicit functions; derivatives of order up
to two, Rolle’s and Lagrange's Mean value Theorems, Applications of derivatives:
Rate of change of quantities, monotonic increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normal.
Integral CalculusIntegral as an anti-derivative, Fundamental Integrals involving algebraic,
trigonometric, exponential and logarithms functions. Integrations by substitution, by
parts and by partial functions. Integration using trigonometric identities. 
Differential EquationsOrdinary differential equations, their order and degree, the formation of differential
equations, solution of differential equation by the method of separation of variables, solution of a homogeneous and linear differential equation of the type
𝑑𝑦/𝑑𝑥+ 𝑝(𝑥)𝑦 = 𝑞(𝑥)
Three Dimensional GeometryCoordinates of a point in space, the distance between two points, section formula, directions ratios and direction cosines, the angle between two intersecting lines. Skew lines, the shortest distance between them and its equation. Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines.
Vector AlgebraVectors and scalars, the addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products, scalar and
vector triple product.
Statistics and ProbabilityMeasures of discretion; calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for
grouped and ungrouped data. Probability: Probability of an event, addition and multiplication theorems of probability, Baye's theorem, probability distribution of a random variate, Bernoulli trials and binomial distribution
TrigonometryTrigonometrical identities and equations, trigonometrical functions, inverse trigonometrical functions and their properties, heights and distance. 

Physics syllabus of TMISAT

Physics and MeasurementsPhysics, technology and society, S I Units, fundamental and derived units, least count,
accuracy and precision of measuring instruments, Errors in measurement, Dimensions of Physics quantities, dimensional analysis and its applications. 
KinematicsThe frame of reference, motion in a straight line, Position- time graph, speed
and velocity; Uniform and non-uniform motion, average speed and instantaneous
velocity, uniformly accelerated motion, velocity-time, position-time graph,
relations for uniformly accelerated motion, Scalars and Vectors, Vector. Addition and
subtraction, zero vector, scalar and vector products, Unit Vector, Resolution of a
Vector. Relative Velocity, Motion in a plane, Projectile Motion, Uniform Circular Motion
Law of MotionForce and inertia, Newton’s First law of motion; Momentum, Newton’s Second Law of motion, Impulses; Newton’s Third Law of motion. Law of conservation of linear momentum and its applications. Equilibrium of concurrent forces. Static and Kinetic friction, laws of friction, rolling friction. Dynamics of uniform circular motion:
centripetal force and its applications.
Work, Energy and PowerWork done by a content force and a variable force; kinetic and potential energies, work-energy theorem, power. The potential energy of spring
conservation of mechanical energy, conservative and neoconservative forces; Elastic and inelastic collisions in one and two dimensions. 
GravitationThe universal law of gravitation. Acceleration due to gravity and its variation with altitude and depth. Kepler’s law of planetary motion. Gravitational potential energy; gravitational potential. Escape velocity, orbital velocity of a satellite. Geo stationary satellites. 
Thermodynamics Thermal equilibrium, zeroth law of thermodynamics, the concept of temperature. Heat, work and internal energy. The first law of thermodynamics. The second law of thermodynamics: reversible and irreversible processes. Carnot engine and its efficiency.
ElectrostaticElectric charges: Conservation of charge. Coulomb's law-forces between two point charges, forces between multiple charges: superposition principle and continuous
charge distribution. 


  • Unit 6: Optics
  • Unit 7: 
  • Unit 8: 
  • Unit 9: 
Reflection and refraction of light at plane and spherical surfaces, mirror formula. Total internal reflection and its applications. Deviation and Dispersion of light by a; prism; Lens Formula. Magnification. Power of a Lens. Combination of thin lenses in contact. Microscope and Astronomical Telescope (reflecting and refracting ) and their
magnifying powers. Wave optics: wavefront and Huygens' principle. Laws of reflection and refraction using Huygens principle. Interference, Young's double-slit experiment and expression for fringe width, coherent sources and sustained interference of light. Diffraction due to a single slit, width of central maximum. Resolving power of microscopes and astronomical telescopes. Polarization, plane-polarized light: Brewster's law, uses of plane-polarized light and Polaroid.
Dual Nature of Radiation and MatterDual nature of radiation. Photoelectric effect. Hertz and Lenard's observations;
Einstein's photoelectric equation: particle nature of light. Matter waves-wave nature
of particle, de Broglie relation. DavissonGermer experiment. 
Atoms and NucleiAlpha-particle scattering experiment; Rutherford's model of atom; Bohr model,
energy levels, hydrogen spectrum. Composition and size of nucleus, atomic masses, isotopes, isobars: isotones. Radioactivity- alpha. beta and gamma particles/rays and their properties; radioactive decay law. Mass-energy relation, mass defect; binding energy per nucleon and its variation with mass number, nuclear fission and fusion.
Electronic DevicesSemiconductors; semiconductor diode: 1-V characteristics in forward and reverse bias; diode as a rectifier; I-V characteristics of LED. the photodiode, solar cell and
Zener diode; Zener diode as a voltage regulator. Junction transistor, transistor action, characteristics of a transistor: transistor as an amplifier (common emitter configuration) and oscillator. Logic gates (OR. AND. NOT. NAND and NOR).
Transistor as a switch.
Electromagnetic WaveElectromagnetic waves and their characteristics, Transverse nature of electromagnetic waves, Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet. X-rays. Gamma rays), Applications of e.m. waves.
Electromagnetic Induction and AlternatingElectromagnetic induction: Faraday's law. Induced emf and current: Lenz’s Law, Eddy currents. Self and mutual inductance. Alternating currents, peak and RMS value of alternating current/ voltage: reactance and impedance: LCR series circuit, resonance: Quality factor, power in AC circuits, wattles current. AC generator and transformer.

TMI SAT Analytical and Logical Reasoning Syllabus

Logical reasoning is divided into two types:

  • Verbal Reasoning: It is the ability to logically understand the concepts and solve problems expressed in words. Verbal reasoning tests the ability to extract information and implications in a sentence.
  • Non-verbal Reasoning: It is the ability to logically understand the concepts and solve problems expressed in numbers/letters/figures in combination with words. Non-verbal reasoning tests the ability of deduction and induction of logic of information and implications in a problem.
NOTE: TMISAT Syllabus consist of Physics, Mathematics, Analytical and Logical Reasoning of 10+2 level.

Candidates can also check the TMI SAT 2023 Exam pattern.

Subscribe to Get Updated Information

+91 -


Form Start Date:

30 Apr 2023

Form End Date:

30 Apr 2023

The last date to submit the form was on 30 Apr 2023
Browse Other Exams
Examination Date:


Application Fees:

₹ 1,200

Admissions open for


08 Jan 2023-21 Jan 2023

Parul University, Vadodara Admissions 2021

01 Dec 2022-01 Jun 2023

Shiv Nadar University Admission 2021

30 Dec 2022-31 Mar 2023


29 Dec 2022-14 Feb 2023

NIIT University

16 Dec 2022-30 Apr 2023

Latest Forms Dates

Ongoing/Upcoming Dates for