ANNA UNIVERSITY B.ARCH 1ST SEMESTER SYLLABUS
REGULATION 2013
MA6153 MATHEMATICS
OBJECTIVES Identifying practical problems to obtain solutions involving trigonometric and exponential functions.
Studying the properties of lines and planes in space, along with sphere and providing a tool to understand 3D material.
Understand functions of more than one variable, along with differentiation under integral sign.
Solving differential equation of certain type.
Analysing data collection and interpretation of results using statistical tools.
UNIT I TRIGONOMETRY AND MENSURATION
Trigonometric (sine, cosine and tan functions) and exponential functions, De-Moiver’s theorem. Area of plane figures, computation of volume of solid figures.
UNIT II THREE DIMENSIONAL ANALYTICAL GEOMETRY
Direction cosines and ratio’s – Angle between two lines – Equations of a plane – Equations of a straight line – Coplanar lines – Shortest distance between skew lines – Sphere –
Tangent plane – Plane section of a sphere.
UNIT III INTEGRATION AND FUNCTIONS OF TWO VARIABLES
Integration of rational, trigonometric and irrational functions, properties of definite integrals, Reductions formulae for trigonometric functions, Taylor’s Theorem - Maxima and Minima (Simple Problems).
UNIT IV ORDINARY DIFFERENTIAL EQUATIONS
Linear equations of second order with constant coefficients – Simultaneous first order linear
equations with constant coefficients – Homogeneous equation of Euler type – Equations
reducible to homogeneous form.
UNIT V BASIC STATISTICS AND PROBABILITY
The arithmetic mean, median, mode, standard deviation and variance - Regression and correlation - Elementary probability - Laws of addition and multiplication of probabilities -
Conditional probability – Independent events.
TOTAL: 45 PERIODS
TEXT BOOK:
1. Grewal B.S., “Higher Engineering Mathematics”, Khanna Publishers, New Delhi, 41st Edition, 2011.
REFERENCES:
1. Bali N., Goyal M. and Watkins C., “Advanced Engineering Mathematics”, Firewall Media (An imprint of Lakshmi Publications Pvt., Ltd.,), New Delhi, 7th Edition, 2009.
2. Ramana B.V., “Higher Engineering Mathematics”, Tata McGraw Hill Co.Ltd., New Delhi,
11th Reprint, 2010.
3. Greenberg M.D., “Advanced Engineering Mathematics”, Pearson Education, New Delhi,
2nd Edition, 5th Reprint, 2009.
4. Gupta S.C and Kapoor V.K., “ Fundamentals of Mathematical Statistics”, Sultan Chand &
Sons, New Delhi, 9th Edition,1996.
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