To develop understanding of the concepts of calculus, statistics and analytic geometry with emphasis on applications in Engineering.
Introduction to functions, introduction to limit, derivatives and their applications, partial derivatives, maxima and minima, integral calculus with applications including double and triple integrals, vector algebra, introduction to analytical geometry, straight line, surfaces, cylinders and cones in Cartesian, cylindrical and spherical coordinates. Complex numbers and complex variables.
Statistical treatment of data. Probability analysis and distribution including random variables, binomial distribution, poisson approximation to binomial distribution, Probability density function. Sampling distribution. Regression analysis.
Text and references:
George B. Thomas and Ross L. Finney, “Calculus and Analytic Geometry,
Addison-Wesley, ISBN: 0201531747.
George F. Simmons, “Calculus with Analytic Geometry”, McGraw-Hill, ISBN: 0070576424.
Gerald B. Folland, “Advanced Calculus”, Prentice Hall, ISBN: 0130652652.
Monty J. Strauss, Gerald L. Bradley and Karl J. Smith, “Calculus”, Prentice Hall, ISBN: 0130918717.
Jyoti Prasad Medhi “Statistical Methods”, New Age Publishers, 2005, ISBN
Lange, “Statistical Methods”, Springer, 2002, ISBN 0387953892.
Montgomery, D.C., and Runger, G.C., “Applied Statistics and Probability for Engineers”, John Wiley & Sons, 2001.