# Gtu Paper

Gujarat Technological University
BE- Sem - I
Mathematics-I

• Review of limits, continuity, diﬀerentiability.
• Mean value theorem, Taylors Theorem, Maxima and Minima.
• Riemann integrals, Fundamental theorem of Calculus, Improper integrals, applications to area, volume.
• Convergence of sequences and series, power series.
• Partial Derivatives, gradient and directional derivatives, chain rule,
maxima and minima, Lagrange multipliers.
• Double and Triple integration, Jacobians and change of variables formula.
• Parametrization of curves and surfaces, vector Fields, line and surface
integrals.
• Divergence and curl, Theorems of Green, Gauss, and Stokes.
Texts/References
1. Hughes-Hallett et al., Calculus - Single and Multivariable (3rd Edition),
John-Wiley and Sons (2003).
2. James Stewart, Calculus (5th Edition), Thomson (2003).
3. T. M. Apostol, Calculus, Volumes 1 and 2 (2nd Edition), Wiley Eastern
1980.
4. G. B. Thomas and R. L. Finney, Calculus and Analytic Geometry

Gujarat Technological University

B.E Sem I

1

Chemistry

1.

Water Technology :
Introduction, sources of water Impurities in water, hard and soft water, Degree of
hardness, Types of hardness, Scale and sludge formation in boiler Boiler corrosion.
Caustic embrittlements, Priming and Foaming, Softening of water. Potable water,
Break point of chlorination, Desalination of Brackish water etc.

2.

Metals and alloys :
Introduction, Physical properties of metals, cast iron, wrought iron, steel, Heat
treatment of steel. Definition of alloy, purpose of making alloys. Classification of alloys.
Alloys of steel and its applications. Non-Ferrous alloys and its industrial applications.

3.

Corrosion and its inhibition :
Introduction, Theories of corrosion, Types of corrosion, Protection of metals from
corrosion – organic and inorganic materials, Inhibitors, Cathodic protection.

4.

Fuels and Combustion :
Definition, types of fuel – solids, liquids, gaseous and Nucleon fuels. Calorifio
Value,...