Sr. No. Week (Start Paper A Paper B Paper C Date) Topics to be Covered Topics to be Covered Topics to be Covered 11.01.2017 Reduction of general second degree Euclid’s Algorithm equation into standard forms by Point of inflexion, Multiple points. Synthetic Division transformation 16.01.2017 Identification of curves and to find Asymptotes (Cartesian and parametric Roots and their multiplicity parameters, tracing of conics form) 23.01.2017 Section of a sphere and a plane, spheres Integration of hyperbolic functions. Complex roots of real polynomials through a given circle. occur in conjugate pairs with same Intersection of a line and a sphere, tangent multiplicity line ,Tangent plane 30.01.2017 Angle of Intersection of two spheres and Integration of inverse hyperbolic Relation between roots and conditions of orthogonality, power of a functions. point w.r.t sphere 06.02.2017 Radical planes ,radical axis, radical center, Tracing of curves(Cartesian and Discriminant and nature of roots of co-axial family of spheres, limiting points parametric coordinates) real cubic. 13..02.2017 Cylinder as a surface generated by a line Transformation of equations moving parallel to a fixed line and through a fixed curve 20.02.2017 Different kinds of a cylinders such as a right Descarte’s Rule of signs circular cylinder, elliptic, parabolic and hyperbolic cylinder in standard forms. Enveloping cylinders 27.02.2017 Cone as a surface generated by a line Newton’s method of Divisors passing through a fixed curve and a fixed point outside the plane of curve 06.03.2017 Cone with a vertex at the origin as a graph Rectification of curves. Solution of cubic and bi-Quadratic of a homogeneous equation of second Quadrature. equations degree in x,y,z. 15.03.2017 Sessional Exams Sessional Exams Sessional Exams –
Sr. No. Week (Start Date) Paper A Paper B Paper C Topics to be Covered Topics to be Covered Topics to be Covered 11.01.2017 Reduction of general second degree equation into standard forms by transformation Point of inflexion, Multiple points. Euclid’s Algorithm Synthetic Division 16.01.2017 Identification of curves and to find parameters, tracing of conics Asymptotes (Cartesian and parametric form) Roots and their multiplicity 23.01.2017 Section of a sphere and a plane, spheres through a given circle. Intersection of a line and a sphere, tangent line ,Tangent plane Integration of hyperbolic functions. Complex roots of real polynomials occur in conjugate pairs with same multiplicity 30.01.2017 Angle of Intersection of two spheres and conditions of orthogonality, power of a point w.r.t sphere Integration of inverse hyperbolic functions. Relation between roots and 06.02.2017 Radical planes ,radical axis, radical center, co-axial family of spheres, limiting points Tracing of curves(Cartesian and parametric coordinates) Discriminant and nature of roots of real cubic. 13..02.2017 Cylinder as a surface generated by a line moving parallel to a fixed line and through a fixed curve Transformation of equations 20.02.2017 Different kinds of a cylinders such as a right circular cylinder, elliptic, parabolic and hyperbolic cylinder in standard forms. Enveloping cylinders Descarte’s Rule of signs 27.02.2017 Cone as a surface generated by a line passing through a fixed curve and a fixed point outside the plane of curve Newton’s method of Divisors 06.03.2017 Cone with a vertex at the origin as a graph of a homogeneous equation of second degree in x,y,z. Rectification of curves. Quadrature. Solution of cubic and bi-Quadratic equations 15.03.2017 – Sessional Exams Sessional Exams Sessional Exams
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