CONTENTS

CONTENTS CHAPTER TITLE Page No. Month Applications of Matrices and Determinants  Jun . Introduction . Inverse of a Non-Singular Square Matrix . Elementary Transformations of a Matrix  . Applications of Matrices: Solving System of Linear Equations . Applications of Matrices: Consistency of system of linear equations by rank method Complex Numbers  Jul . Introduction to Complex Numbers . Complex Numbers . Basic Algebraic Properties of Complex Numbers . Conjugate of a Complex Number  . Modulus of a Complex Number . Geometry and Locus of Complex Numbers . Polar and Euler form of a Complex Number . De Moivre’s Theorem and its Applications Theory of Equations  Jul . Introduction . Basics of Polynomial Equations . Vieta’s Formulae and Formation of Polynomial Equations . Nature of Roots and Nature of Coefficients of Polynomial Equations  . Applications of Polynomial Equation in Geometry . Roots of Higher Degree Polynomial Equations . Polynomials with Additional Information . Polynomial Equations with no additional information . Descartes Rule Inverse Trigonometric Functions  Jul/Aug . Introduction . Some Fundamental Concepts . Sine Function and Inverse Sine Function MATHEMATICS Assessment E-book . The Cosine Function and Inverse Cosine Function . The Tangent Function and the Inverse Tangent Function . The Cosecant Function and the Inverse Cosecant Function . The Secant Function and Inverse Secant Function . The Cotangent Function and the Inverse Cotangent Function . Principal Value of Inverse Trigonometric Functions . Properties of Inverse Trigonometric Functions Two Dimensional Analytical Geometry-II  Aug . Introduction . Circle . Conics . Conic Sections . Parametric form of Conics . Tangents and Normals to Conics . Real life Applications of Conics Applications of Vector Algebra  Aug/Sep . Introduction . Geometric Introduction to Vectors . Scalar Product and Vector Product . Scalar triple product . Vector triple product . Jacobi’s Identity and Lagrange’s Identity . Application of Vectors to -Dimensional Geometry . Different forms of Equation of a plane . Image of a point in a plane . Meeting point of a line and a plane ANSWERS GLOSSARY V - - :