First Year Engineering Information

This is a place to come to, after you have secured your seat in your college, and want to know how to go about the course. Of course, you could be interested in knowing the syllabus before hand too.

Note : This is the syllabus till 2002. Some changes are expected from 2003.

The subjects for all first year students are the same except for the Architecture branch, so it doesn't matter which branch you are in, your subjects are :-

1. Engg. Mathematics - I
2. Engg. Physics
3. Engg. Chemistry
4. Elements of Civil Engg.(ECE)
5. Mechanical Engg. Science(MES)
6. Computer Concepts & C Programming
7. Electrical Science
8. Basic Electronics
9. Engineering Graphics
10. Workshop
11. Computer Programming Lab
12. Engg. Physics Lab
13. Engg. Chem Lab.
14. Engg. Mathematics - II
15. Strength of Materials.(SOM)

These subjects are divided into 2 cycles - the Physics cycle, and the Chemistry cycle.
You complete the 2 cycles in 2 sems (I year), with 1 cycle in the first sem, and the other in the second sem. In most cases your college decides which cycle you will be in.

Out of these Engg. Maths - I, and ECE are there in both the cycles in the first sem, and Engg. Maths - II, and SOM are there in both the cycles in the second sem.

BOOKS

These are the basic books you can use. This is what we found best for an average student. We recommend only one book per subject. There are a number of reference books by foreign as well as Indian authors. Its always good to study from more books, and more fundamental books, if you have the time, but normally this is not the case. So we advise you to study well from one book properly , and venture to more if you have the time and capacity.

The books indicated are the name of the authors.

1. Engg. Mathematics - I  		- D.S.Chandrashekhariah
2. Engg. Physics 			- S.P.Basavaraju
3. Engg. Chemistry 			- Jaiprakash & Venugopal.
4. Elements of Civil Engg.(ECE) 	- Rao and Raju
5. Mechanical Engg. Science(MES) 	- K.R.Gopalakrishna
6. Computer Concepts & C Programming 	- Balaguruswamy / Yashwant Kanetkar
7. Electrical Science 			- BN Yoganarsimhan
8. Basic Electronics 			- BN Yoganarsimhan / Narayanappa
9. Engineering Graphics 		- K.R.Gopalakrishna
10. Workshop				- Manual provided by college
11. Computer Programming Lab 		- Manual provided by college
12. Engg. Physics Lab 			- (Engg. Physics Practicals - S.P.Basavaraju)
13. Engg. Chem Lab. 			- Manual provided by college
14. Engg. Mathematics - II 		- D.S.Chandrashekhar
15. Strength of Materials.(SOM) 	- Rao & Raju / Bhavikatti

SYLLABUS

MATHEMATICS - I.

Analytical Geometry of 3 dimensions.

Distance formula
Division formula
Direction cosines
Direction ratios
Planes and its equation
Straight line and its equation.
Angle between planes
Angle between straight lines
Shortest distance

Differential Calculus

Determination of nth derivative of standard functions
Leibnitz's theorum and applications.
Polar curves
Pedal equations
Angle between radius vector and the tangent
Angle of intersection of two curves.

Partial Differentiation.

Euler's theorum-total differentiation.
Differentiation of composite functions.
Differentiation of implicit functions.
Jacobians
Errors and approximations.

Integral Calculus

Reduction formula for the function sin (raised to n) x
Reduction formula for the function cos (raised to n) x
Reduction formula for the function sin (raised to m) x X cos (raised to n) x
Reduction formula for the function tan (raised to n) x, cot (raised to n) x
Reduction formula for the function sec (raised to n) x
Reduction formula for the function cosec (raised to n) x
Tracing of standard curves in cartesian, parametric and polar forms
Oblique Asymptotes-application to find area, length and volume of solids of revel.

Vector Differentiation

Velocity of a vector point function
Acceleration of a vector point function
Gradient, Divergence and Curl
Solenoidal fields and their properties
Irrotational fields and their properties

Infinite Series

Convergence, divergence and oscillation of an infinte series.
P-series test
Cauchy's root test
D'Alembert's test and Raabe's test
Cauchy's integral test for series of positive terms
ALternating Series
Absolute and Conditional convergence
Leibnitz's test
Convergence of power series
Binomial, Exponential and Logarithmic Series.

Differential Equations

Solutions of first order and first degree equations
Variable seperable equations
Homogeneous linear equations
Non homogeneous equations
Bernoulli's exact differential
Equations reducible to exact differential by integrating factors
Orthogonal trajectories in cartesian and polar form

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