Haryana polytechnic syllabus architect applied sciences and mathematics 1st semester

Haryana polytechnic syllabus for the trade architect, semester 1st and subject applied sciences and mathematics and you download and read the syllabus from here.

Applied Sciences and Mathematics are very essential to develop scientific temper, continued learning skills and appreciation of physical and chemical changes of concern in the field of Architecture. It is basic to all engineering and technology programmes to develop analytical approach and cognitive abilities in the students so that they are trained to make exact calculations, may be angular, areas and volumes and calculations of quantities of different items of building works. This course is also helpful in developing continued learning skills in the students. The course contains the knowledge of Algebra, mensuration, trigonometry, differential and integral calculus. This course also covers elements of Applied Physics and Applied Chemistry. Applied Physics contains units of measurements, force and motion, temperature and its measurement, Accoustics of buildings and fundamentals of light. Applied Chemistry part covers: metals, corrosion and its prevention, plastics, refractory and paints and varnishes.

Teachers while imparting instructions are expected to demonstrate various physical and chemical processes to clarify the concepts and principles involved in the course. They will also include examples of application of Mathematics as applied to engineering/ technology and architectural fields. The teachers should lay more stress on basic fundamentals and applications of applied sciences and mathematics by providing considerable amount of practice in problem-solving.



1. Units of measurement in Sl system. Dimensions and use of dimensional analysis (2 hrs)

2. Force and motion . (6 hrs)
Newton’s laws Conservation of momentum; work and energy forms of energy and conservation of energy; stress, strain, elastic modulii.

3. Spring mass system (6 hrs)
Vibration of bodies; amplitude, frequency and energy of vibrations; free and forced vibrations, resonance, vibration of structural members

4. Temperature and its measurement (4 hrs)
Liquid in glass thermometer, Bimetallic thermometer, Thermo-electric thermometer. Platinum resistance thermometer, pyrometers

5. Expansion of solids (6 hrs)
Thermal stresses; specific heat and heat capacity and concept of thermal time lag in buildings; laws of thermodynamics; Principles of heat engines and refrigeration and air conditioning systems; Humidity and its control.

6. Acoustics (6 hrs)
Acoustic of buildings and simple calculation of reverberation times; principles of acoustic modeling, sources of sound

7. Light as waves, solar energy, solar cells and green house effects; colour: primary colours, colour mixing. (6 hrs)
Radiant light flux, luminar intensity, illumination; light efficiencies; Standards of illumination.

8. Electrical nature of matter; molecular forces – cohesive and adhesive forces; application to water proofing and wetting. (6 hrs)


9. Raw materials and admixtures used in the manufacture of copper, aluminum, iron and steel. Manufacturing processes to be dealt in brief with flow diagrams. (6 hrs)

10. Properties and uses of copper, aluminium, iron and steel. Corrosion: Meaning of corrosion, Prevention of corrosion by various methods. (6 hrs)

11. Plastics (10 hrs)

Review of saturated and unsaturated hydrocarbons (Methane, ethane, Ethylene Acetylene and Vinyl chloride etc) Condensation and polymerization. Thermosetting and thermo plastics. Cold setting and hot setting. Emphasis should be given to name of common varieties of plastics and their uses. Adhesives and epoxy resins.

12. Refractories: Meaning of refractory material: General methods of Manufacture of (4 hrs)

a) Acid refractories
b) Basic refractories


13. ALGEBRA (6 hrs)

Logarithms, laws of logarithms (without proof), use of logarithms to solve problems of engineering nature.

Solution of three linear simultaneous equations by elimination. Binomial Theorem (without proof) for positive integral index (expansion and general term), binomial theorem (without proof) for any index (expansion only).

14. MENSURATION (14 hrs)
14.1 Mensuration of Plane figures:

Definition: Units of Measurement, Definition and formulae of perimeter and area etc. in connection with plane figures: rectangle, square, triangle, quadrilateral rhombus, trapezium (trapezoid), polygon, circle, irregular figures (trapezoidal Rule and Simpson’s Rule) (simple problems)

14.2 Mensuration of Solids: Definition: Units: Volume: surface, including curved surface area and lateral surfaces areas of solids: Rectangular or parallelopiped, Cubes, Cuboids, Prisms, Cylinders and Hollow Cylinder, Pyramid, Frustum of right circular cone, sphere (simple problems)

15. TRIGNOMETRY (12 hrs)

Measurement of angles in degrees and radians and their conversions. Trignometric ratios and their relations. Allied angles (without proof). Trignometirc tables and their use, trignometirc ratios of angles between 0 degree and 360 degrees, sum difference formulae and their applications (without proof). Ratio of multiple and sub-multiple angles (2A, 3A, A/2). Product formulae, statements of cosine rule, sine rule, Napier’s analogy, solution of triangles (simple cases, excluding ambiguous case), simple problems on heights and distances.


Meaning and scope of differentiation. Graphical differentiation concept of limits. Differentiation of xn, sinx, cosx, tanx, loga

Author: Ramesh Saini

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