Table of Contents

1. Unit-1. Functions & Limits:Functions; Limits

2. Unit-2. Differential Calculus:Continuity and Differentiability; Differentiation and Mean V alue Theorems; Partial Differentiation; T angents and Normals; Maxima and Minima.

3. Unit-3. Integral Calculus:Integration; Definite Integrals; Area of Curves, Volumes, Surface; Differential Equation.

4. Unit-4. Co-ordinate Geometry:Rectangular Co-ordinates and Straight Lines; Pair of Lines; The Circle; Parabola; Ellipse; Hyperbola.

5. Unit-5. Vector Algebra:Vectors; Co-ordinate Geometry of 3 Dimensions Plane, Straight Line, S phere, Intersection of Plane and Sphere.

6. Unit-6. Algebra:Surds and Indices; Logarithms; Inequalities; Theory of Equations and Expressions; Complex Numbers; Sequences and Series; Permutations and Combinations; Binomial; Exponential and Logarithmic Series; Partial Fractions;Determinants; Matrices; Sets, Relations and Groups.

7. Unit-7. Statistics:Probability; Correlation and Regression; Linear Programming.

8. Unit-8. Trigonometry: Trigonometry Ratios and Identities;Trigonometrical Equations; Inverse Trigonometrical Functions; Properties of Triangle; Circum Circle, Incircle and Excircles of a Triangle; Heights and Distances.

9. Unit-9. Modern Algebra:Logic; Boolean Algebra.

10. Unit-10. Statics: Composition and Resolution of Forces; Parallel Forces, Moments and Couples; Equilibrium of Coplanar Forces; Friction; Centre of Gravity

11.Unit-11. Dynamics: Velocity , Acceleration and Relative Velocity; Motion under Gravity and Projectile; Impact (Collision of Elastic Bodies); Work, Power and Energy; Numbers System (Number Base).