**AR3103 Mathematics for Architects Syllabus:**

AR3103 Mathematics for Architects Syllabus – Anna University Regulation 2021

**OBJECTIVES**

To help derive solutions involving trigonometric and exponential functions in practical problems.

To inform about three dimensional analytical geometry.

To enable understanding of functions of more than one variable.

To give information to solve differential equation of certain type.

To enable data analysis 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 ratios. 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.

**OUTCOME**

Ability to understand the mathematical properties of geometric figures and objects.

Skill in solving mathematical problems that would be useful for the field of architecture.

Ability to analyse and interpret data.

**REQUIRED READING**

Grewal B.S., ‘Higher Engineering Mathematics’, Khanna Publishers, New Delhi, 44th 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 and Sons, New Delhi, 9th Edition,1996.