AR25102 Mathematics for Architects – Semester I – Arch – R-2025

Subject Code & Name: AR25102 – Mathematics for Architects

Regulation: R-2025

Semester: I (First Semester)

Branch: B. Arch. (Arch)

Credits / L-T-P: 3 Credits | L-T-P: 3-0-0

Course 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.

Full Unit-wise Syllabus

Unit I – Trigonometry and Mensuration

Trigonometric (sine, cosine and tan functions) and exponential functions. De-Moivre’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.

Course Outcomes (COs)

• CO1: Ability to understand the mathematical properties of geometric figures and objects.
• CO2: Skill in solving mathematical problems that would be useful for the field of architecture.
• CO3: Ability to analyse and interpret data.
• CO4: Ability to understand basics of statistics functions.
• CO5: Ability to interpret datasets or variables.

Assessment Pattern (Quick Note)

• Weightage: Continuous Internal Assessment 40% | End Semester Examinations 60%
• Internal methodology: Two Assessments with equal weightage – Internal written Test/Examination (50%), Assignment (50%) of any mode such as study, seminar, and or a combination of modes, etc.

Source: Official Anna University – B. Arch. R-2025 Syllabus
Last Updated: September 2026