Group Code: BT2022 Complete Curriculum

Biotechnology Complete Syllabus

Includes mandatory common subjects and core branch subjects for lateral entry.

Applied Mathematics (Common)

50 Marks
1

Matrices & Determinants

07 Marks
  • Basic concepts of Matrices(Addition, Subtraction and Multiplication) ,Determinants: Problems on finding unknown quantity in a 2nd and 3rd order determinants using expansion.
  • Solving simultaneous linear equations using determinant method (Cramer's rule up to 3rd order).
  • Matrices: Minors, Cofactors, Adjoint and Inverse of matrices of 2nd order.
  • Characteristic equation and roots of a square matrix.
2

Vectors

04 Marks
  • Magnitude of a vector.
  • Position vector.
  • Expression of vector in terms of position vectors.
  • Vector in plane and in space in terms of unit vectors i, j and k respectively.
  • Product of vectors.
  • Scalar and vector product.
  • Applications of dot and cross products i.e., Projection of vector on another vector, Area of parallelogram and area of triangle.
  • Work done by a force and moment of force.
3

Probability

01 Marks
  • Random Experiments, Sample Space, Events, Types of Events, Algebra of Events, Complementary event, the events A or B, A and B,A but not B, Mutually Exclusive Events, Exhaustive events, Simple problems.
4

Allied Angles and Compound Angles

08 Marks
  • Signs of Trigonometric ratios, Trigonometric ratios of Allied Angles in terms of θ.
  • Formulae for Sin(A±B), Cos(A±B) & tan(A±B) and problems on them.
  • Multiple and sub multiple angle formulae for 2A & 3A and simple problems.
  • Transformation formulae on sum or difference into products & products into sum or difference and problems on them.
5

Complex numbers

01 Mark
  • Definition of complex number in the form of a + ib.
  • Conjugate of complex number.
  • Algebra of complex numbers, modulus and principal value of argument of complex number.
  • Polar form Z = r(Cosθ + iSinθ).
6

Limits

04 Marks
  • Evaluation of limit of functions by factorization, rationalization, limits when n→∞.
  • Problems on algebraic limits based on formula limx→a (x^n - a^n)/(x - a) = n a^(n-1).
  • Problems on trigonometric limits based on formula limθ→0 sinθ / θ = 1.
7

Straight Lines

03 Marks
  • Problems on different forms of equations of straight lines such as: y = mx+c, (y-y1) = m(x-x1), (y - y1) = (y2 - y1) / (x2 - x1) * (x - x1).
  • Problems on equation of lines through a point and parallel or perpendicular to a given line.
  • Finding Slope ,X-intercept and Y- intercept of general equation ax + by + c = 0.
8

Differentiation

08 Marks
  • Problems on rules of differentiation: (Sum rule, product rule and quotient rule).
  • Problems on function of a function and inverse trigonometric functions.
  • Derivative of implicit functions, and parametric functions and problems.
  • Successive differentiation up to second order and problems on them.
  • Differentiation of Logarithmic functions of types u^v, Where u and v are functions of x, Simple problems.
9

Applications of Differentiation

03 Mark
  • Equations of tangent and normal to the curve y = f(x) at a given point and problems.
  • Derivative as a rate measure i.e.to find the rate of change of displacement, velocity, radius, area, volume using differentiation and problems on them.
10

Integral Calculus

06 Marks
  • Rules of integration and problems.
  • Problems on integration by the method of substitution and by parts.
11

Definite Integrals

02 Mark
  • Simple problems on definite integrals.
  • Problems on applications of definite integrals such as area and volume.
12

Differential Equations

03 Mark
  • Order and Degree of Differential Equations, Formation of differential equation by eliminating arbitrary constants up to second order.
  • Problems on solution of linear differential equations of first order by variable separable method and integrating factor method.

Applied Science (Common)

50 Marks
1

Unit-I: Mechanics

09 Marks
  • Units: Unit, types of units, SI unit- Basic and Supplementary units, advantages.
  • Measuring instruments: Vernier callipers-principle and least count.
  • Screw gauge-principle, ZE, ZC, pitch and least count- simple problems on vernier callipers and screw gauge.
  • Scalars and vectors: scalar and vector with example, resultant, equilibrium, equilibrant.
  • Laws of vectors-parallelogram law of vectors, triangle law of vectors, Lami's theorem.
  • Expression for magnitude and direction of resultant of two vectors acting at a point.
  • Rectangular component of resolution of a vector-simple problems on laws of vectors.
  • Parallel forces: Types of parallel forces, moment of force, couple, moment of couple, simple problems on moment of force.
2

Unit-II: Properties of Solids and Liquids

09 Marks
  • Properties of solids: Deforming force, elasticity and plasticity with examples, stress and its types with example, strain and its types with example.
  • Hooke's Law.
  • Modullie of elasticity and its types- simple problems on stress and strain.
  • Properties of Liquids: Thrust and pressure, expression for pressure at a point inside the liquid at rest-simple problems.
  • Surface tension: Cohesive and Adhesive forces with examples, surface tension, factors affecting surface tension, application of surface tension.
  • Capillarity and its applications.
  • Viscosity: viscosity, expression for co-efficient of viscosity, effect of temperature on viscosity of liquid and gas, applications of viscosity- simple problems on co-efficient of viscosity.
3

Unit-III: Heat and Properties of Gases

06 Marks
  • Concept of Heat and Temperature: Heat and Temperature, Specific Heat of substance.
  • Transmission of Heat: conduction, convection and radiation with example, Applications of conduction and convection and radiation.
  • Gas laws: Boyle's law, Charle's law and Gay-Lussac's law (statement with expression), expression PV=nRT, Cp and Cv and its relation-simple problems on gas laws.
4

Unit-IV: Wave Motion

10 Marks
  • Simple Harmonic Motion: Periodic motion with example, SHM, expression for displacement of a particle executing SHM.
  • Wave: Wave motion, wave period, wave frequency, wave amplitude, wave length and wave velocity, relation between wave frequency, wave length and wave velocity-problems on V=nλ.
  • Mechanical waves and Non-Mechanical waves with examples, Longitudinal and Transverse waves with example.
  • Propagation of sound waves in air: Newton – Laplace's formula for velocity of sound in air and various factors affecting velocity of sound in air.
  • Vibrations: Free vibration, forced vibration and resonance with example.
  • Laws of transverse vibration of stretched string, expression for fundamental frequency of vibration of stretched string –simple problems on fundamental frequency.
  • Stationary waves: Stationary waves and its characteristics, beat, beat frequency, application of beats.
5

Unit-V: Modern Physics

07 Mark
  • Electromagnetic waves: Electromagnetic waves and its properties, electromagnetic spectrum and its applications.
  • Laser: Laser, properties of laser and its applications.
  • Nano-technology: Nanotechnology, advantages and dis-advantages of nanotechnology.
  • Communication system: Basic elements of communication system, advantages and dis-advantages of satellite communication system.
  • Optical fibre: Optical fibre-principle and its applications.
6

Unit-VI: Industrial Chemistry

09 Marks
  • Electrolysis: Electrolyte, types of electrolyte with example, electrolysis, Postulates of Arrhenius theory of electrolytic dissociation, Faraday's First and Second law of electrolysis-simple problems on Faraday's laws.
  • Corrosion: Corrosion, conditions for corrosion, preventive methods of corrosion.
  • Batteries: Battery, classification and its application.
  • Fuel cells: Fuel cell, types and advantages of fuel cells.
  • Metallurgy: Definition of mineral, ore, flux, slag and alloys.
  • Purpose of making alloys and its applications.
  • Polymers: polymers and its types, application of polymers.
  • Composite materials: Composite material and its types, advantages and dis-advantages of composite material. pH Value: pH value of a solution , pH scale, application of pH in different fields.