Page 1 :
B.Sc. MATHEMATICS, , , , B.Sc. MATHEMATICS, SEMESTER - IV, CORE VIII - TRIGONOMETRY AND ANALYTICAL GEOMETRY OF 3D, UNIT-I, , Expansions of sin n@ , cos n@ and tan n@ — Expansion of sin’@, cos"@ — Hyperbolic functions and its, properties. (Chapter III (Sections 1,2,3,4 excluding examples on formation of equations)), , UNIT-II, , Inverse hyperbolic functions — Logarithms of a complex quantities - General Principal Values.( Chapter, 4 (Section 2.3), Chapter V (Section 5))., , UNIT-III, , Analytical Geometry 3D — Straight line — Equation determined by intersection of two planes —, symmetrical form — conversion of the equation of the line to symmetrical form — equation of a line, passing trough two points — The plane and the straight line — coplanar lines — problems.( Chapter III, (Sections 1 to7))., , UNIT - IV, , Sphere: Definition — Equation of a sphere - Length, Equation of the tangent — The plane section of a, sphere is a circle — Equation of a circle on a sphere — Intersection of 2 Spheres is a circle — problems., (Chapter IV (Section 1 to 8))., , UNIT-V, , Cone: Cone — Equation of a cone — cone whose vertex is at the origin - Quadric cone whose vertex is at, the origin— General quadric cone— Problems. Chapter 6 (Sections 6.1 to 6.5), , Text Books, 1. Vittal P.R., 2004, Trigonometry, Margham Publications, Chennai.(for unit 1), , 2. Manicavachagam Pillay. T.K., and T. Natarajan, A Text Book of Analytical Geometry Part — II Three, Dimensions, Re Print 2000, S. Viswantan Pvt. Ltd.(for unit II, III, 1V), , 3. Duraipandian, P. and Lakshmi Durai Pandian, D Muhilan, Analytical Geometry 3 Dimensional, Emerald, Publishers, Chennai, Re Print 2004. (for unit V), , Reference Books:, , 1. Shanthi Narayanan and Mittal P.K:Analytical Solid Geometry 1 6th Edition (For units I to III) S.Chand &, Co, New Delhi., , 2. P.Duraipandian& others-Analytical Goemetry 3 Dimensional-Emerald Student Edition.