Mathematics For Degree Students B.Sc. Second Year

The book has been prepared keeping in view the syllabi prepared by different universities on the basis of UGC Model Curriculum. The present book has evolved out of my experience of more than three decades of classroom teaching at B.Sc. level.

1. Continuity of Single Variable

2. Differentiability of One Variable

3. Limits and Continuity of Functions of Two Variables

4. Partial Differentiation

5. Change of Independent Variables

6. Taylor’s Theorem for Functions of Two Variables

7. Jacobians

8. Envelopes and Evolutes

9. Maxima and Minima

10. Indeterminate Forms

11. Beta and Gamma Functions

12. Multiple Integrals

13. Dritchlet’s Theorem

14. Sequences

15. Convergence of Series

16. Absolute Convergence

BMH 202 (a & b) DIFFERENTIAL EQUATIONS

Differential Equations

1. Series Solutions of Linear Differential Equations

2. Legendre’s Polynomials and Functions

3. Bessel Functions

4. Hypergeometric Functions

5. Orthogonality of Functions

6. The Laplace Transforms

7. The Inverse Laplace Transform

8. Application of Laplace Transform to Solution of Differential and Integral Equations

9. Partial Differential Equations of the First Order

10. Partial Differential Equations of Second Order

11. Linear Partial Differential Equation with Constant Coefficients

12. Mong’s Method

13. Calculus of Variations

BMH 203 (a & b) MECHANICS

Statics

1. Analytical Conditions of Equilibrium of Coplanar Forces

2. Virtual Work

3. Common Catenary

4. Forces in Three Dimensions

5. Stable and Unstable Equilibrium

Dynamics

1. Velocity and Acceleration Along Radial and Transverse Directions

2. Tangential and Normal Velocities and Accelerations

3. Simple Harmonic Motion and Elastic Strings

4. Motion on a Smooth and Rough Plane

5. Motion in a Resisting Medium

6. Motion of Particles of Varying Mass

7. Central Orbits

8. Planetary Motion

9. Motion in Three Dimensions