Mathematics Entry Test
F.Sc. Math Book2, CH 1: Functions and Limits
This Chapter Covers: Concept of funtions; Types of functions; Composition of functions; Inverse of functions; Theorems on limits of functions; Limits of functions; Continuous and discontinuous functions; Graphs of functions.
F.Sc. Math Book2, CH 4: Geometry
This chapter covers: Concept of analytical geometry; Translation and rotation of axes; Equations of straight lines; Two and three straight lines; Angle between two lines.
F.Sc. Math Book2, CH 3: Integration
This chapter covers: Concept of integration; Integration as inverse of derivative; Integration by substitution; Integration by parts; Integration of partial functions; Definite integrals and their applications; Differential equations.
F.Sc. Math Book2, CH 2: Differentiation
This chapter covers: Concept of differentiation; Derivative by definition; Theorems on differentiation; The chain rule; Derivatives of different types of functions; Derivatives of different types of equations; Logarithmic differentiation; Successive differentiation; Series expansion of functions.
F.Sc. Math Book2, CH 7: Vectors
This chapter covers: Concept of rectangular vectors; Vectors in space; Scalar and vector product; Scalar triple product.
F.Sc. Math Book2, CH 6: Conic Section
This chapter covers: Concept of conic section; Tangents and normals; Proves of properties of circle; Parabola,ellipse,hyperbola and their elements; Intersection of two conics; Translation and rotation of axes; General equation of second degree.
F.Sc. Math Book2, CH 5: Linear Inequalities
This chapter covers: Concept of linear inequalities; Region bounded by 2 or 3 inequalities; Problem constraints; Feasible solution set; Concept of linear programming.
F.Sc. Math Book1, CH 3: Matrices and Determinants
This chapter covers: Introduction of matrices; determinants; Solution of simultaneous linear equations; Matrix addition; scalar and matrix multiplication; Adjoint and inverse of square matrix; Row and column operations.
F.Sc. Math Book1, CH 2: Sets, Functions and Groups
This chapter covers: Operations on sets; venn diagrams; Properties of union and intersection; Symbolic logics; implication; Truth sets; relations;Functions; inverse of functions.