Here you can find all Mathematics syllabus / course outlines of BA / BSc (A Course of Mathematics, B Course of Mathematics, General Mathematics and Mathematics Optional).
MATHEMATICS (OPTIONAL)
(Outlines of Course)
Paper: (Algebra ½ and Calculus ½) Marks = 100
i) Algebra (½ )
Introduction to Number System, Algebra of Matrices and determinants of order 2×2, 3×3, Addition, subtraction of matrices, scalar multiplication and multiplication of matrices, singular and non-singular matrices, adjoint and inverse of matrices.
Solution of equations by using matrices and Crarner’s Rule.
Determinants:
Minor and co-factor of an element of a matrix in its determinants. Determinant of a square matrix of order 2×2 and 3×3 properties of determinants.
Quadratic Equations:
Some polynomial functions, Remainder and Factor Theorem, Synthetic Division, Relation between Roots and co-efficients of a quadratic equation. System of two equations involving two variables. Arithmetic, Geometric and harmonic sequences. Arithmetic Series, Geometric Series, Infinite Geometric Series.
Trigonometry:
Fundamentals of Trigonometry and Trigonometric identities.
ii) Calculus and Analytic Geometry (½)
Limit, Continuity (Simple Cases), Differentiation and Integration (Simple Cases), Differential equations (Variables separable). Introduction of a vector. Simple cases of dot and cross product of vectors.
Note:
Mathematics (Optional) means Mathematics General (Optional), A-Course of Mathematics (Optional) or B-Course of Mathematics (Optional).
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