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# Mathematics BA / BSc Syllabus Sargodha University

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.

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).