According to me B.Sc Course is in two parts,

In the First part:- Calculus, Differential equation, partial differential equation, game theory, number theory, Integral equation, Cryptography, Applied mathematics.

In the Second Part:-  Algebra, Linear Algebra, Discrete maths, Real analysis, Complex analysis, Functional analysis, metric- space, Topology, Measure theory.

In the first part:-Differential and Integral Calculus. The real line and its geometrical representation. e-S treatment of limit and continuity. Properties of limit and classification of discontinuities. Properties of continuous functions. Differentiability and differentials. Successive differentiation and Leibnitz Theorem. Statement of Rolle's Theorem. Mean Value Theorem, Taylor and Maclaurin's Theorems, indeterminate forms. Limits and continuity of functions of two variables. Partial derivatives. Methods of Integration: Partial fractions. Definite integrals. Statement of the Fundamental Theorem. Applications. Asymptotes. Concavity, convexity, and points of inflection. Extrema. Plane curves, tangent and normal in parametric form. Envelopes. Polar Coordinates. Quadrature. Rectifiability and length of a curve. Arc length as a parameter. Curvature. Volumes and surface areas of solids of revolution.

Elementary Methods in Ordinary Differential Equations. Formation of a differential equation. Solutions: General, particular, and singular. First order exact equations and integrating factors. Degree and order of a differential equation. Equations of first order and first degree. Equations in which the variable are separable. Homogeneous equations. Linear equations and equations reducible to linear form. First order higher degree equations solvable for x, y, p. Clairaut's form and singular solutions. Orthogonal Trajectories. Linear differential equations with constant coefficients. Homogeneous linear ordinary differential equations. Linear differential equations of second order. Transformation of the equation by changing â?? the dependent variable and the independent variable. Method of variation of parameters. Ordinary simultaneous differential equations