Dear students-selected & shortlisted by Megamind, (listed below)-B.Tech 2014 passing out batch
We would like them to come prepared on the following topics:
Vectors:
Addition of vectors, scalar multiplication, scalar products, dot and cross products, scalar triple products and their geometrical interpretations.
Analytical geometry:
Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal.
Algebra:
Permutations and combinations, Binomial theorem for a positive integral index, properties of binomial coefficients.
Addition and multiplication rules of probability, conditional probability, independence of events, computation of probability of events using permutations and combinations.
Differential calculus:
Limit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, l'Hospital rule of evaluation of limits of functions.
Integral calculus:
Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves.
The materials can be downloaded from the following links:
http://www.ncert.nic.in/ncerts/textbook/textbook.htm
For Calculus:
http://tutorial.math.lamar.edu/pdf/CalcI/CalcI_Complete.pdf
Vectror:
http://www.efm.leeds.ac.uk/CIVE/CIVE2599/Notes/programme%20notes2up.pdf
http://www.robots.ox.ac.uk/~sjrob/Teaching/Vectors/slides1.pdf
http://www.mecmath.net/calc3book.pdf
Counting methotd :
http://download.nos.org/srsec311new/L.No.07.pdf
http://www.unco.edu/NHS/mathsci/facstaff/Roberson/CourseDocs/MATH%20182/Activities/Combinations%20and%20Permutations.pdf
probablity:
http://www.maths.qmul.ac.uk/~pjc/notes/prob.pdf
We wish for a healthy relationship with your institute.
Regards
The MegaMind Team