Math Syllabus for CSE 16th Batch

You can easily calculate your in-course mark

Quiz-1 (15)

Quiz-2 (15)

Quiz-3 (10)

CP (10)

AD (30)

Mid (40)

Final (80)

Total (200)

Gain(20) (200/10 = ?)

CSE-115 Differential Calculus and Co-Ordinate Geometry
3 hours in a week, 3.00 Cr.

Differential calculus: Limits, continuity and differentiability; successive differentiation of various types of functions; Leibniz’s theorem; Role’s Theorem; Mean value Theorem in finite and infinite forms; Lagrange’s form of remainders; Cauchy’s form of remainders; Expansion offunctions; Evaluation indeterminate forms by L Hospitals rule; Partial differentiation;

Euler's Theorem; Tangent and Normal, Subtangent and; subnormal in Cartesian and polar co-ordinates; Maximum and minimum values of functions of single variable; Points of inflexion; curvature, radios of curvature, center of curvature Asymptotes, curve tracing.

Co-ordinate Geometry: Transformation of co-ordinates and it uses; Equation of conies and its reduction to standard forms; Pair of straight line & Homogeneous equations of second degree; Angle between a pair of straight lines; Pair of joining the origin to the point of, intersection of two given curves, circles; system of circle, orthogonal circles; radical axis, radical center, properties of radical axes; Coaxial circle and limiting points; Equations of parabola, ellipse and hyperbola in Cartesian and polar coordinates; Tangents and normals, pair of tangents; Chord of contact; Chord in terms of middle points; Pole and polar parametric co-ordinates; diameters; Conjugate diameter and their properties; Director circles and asymptotes.

Reference books:
1. Dr. Abdul Matin, Differential Calculus.
2. Abu Yusuf, Differential Calculus Integral Calculus.
3. B.C Das & B.N. Mukherjee, Differential calculus.
4. A textbook of Co-ordinate Geometry (two and three dimensions).
5. Rahman and Bhattacharja, Co-ordinate Geometry and Vector analysis.