THIAGARAJAR COLLEGE OF ENGINEERING - B- Arch - Semester 1- ARA 12 MATHEMATICS

ARA 12 MATHEMATICS L T P C
3 0 0 2
AIM:To develop analytical skills needed for problem solving and creative thinking.
29
COURSE WORK:
UNIT –I INTEGRATION & FUNCTIONS OF TWO VARIABLES 9
Integration of rational, trigonometric and irrational functions, properties of definite integrals, Reduction formulae for
trigonometric functions. Taylor's Theorem with remainder Maxima and Minima ( Simple Problems)
UNIT -II ORDINARY DIFFERENTIAL EQUATIONS 9
Linear, second order and higher order Differential equations with constant coefficients. Differential equations with variable
coefficients of Euler type.
UNIT –III BASIC STATISTICS AND PROBABILITY 10
The arithmetic mean, median, mode, standard deviation and variance. Regression and correlation, elementary probability
theory, conditional probability.
UNIT-IV TRIGONOMETRY AND MENSURATION 9
Trigonometric( sine, cosine and tan functions) and exponential function, De-moiver's theorem. Area of plane figures,
computation of volume of solid figures.
UNIT –V GEOMETRY IN ARCHITECTURE 8
Ratio and systems of proportion – definition and derivation of golden ratio , Fibonacci series.
Total No. of periods: 45
Text Books:
1. B. S. Grewal, Higher Engineering Mathematics, Khanna Publishers, Delhi, 1998
2. P. Kandasamy, K. Thilakavathy and K. Gunavathy, Engineering Mathematics Vol I
and II, S. Chandan Publishers – 1998
3. Kappraff Jay, Connections; The Geometric bridge between art and science,
McGraw Hill Inc. Ltd., USA, 1991.

Reference: http://www.tce.edu/