Applied Mathematics-II. Applied Mathematics-I. Engineering Physics 2/ed. Engineering Chemistry. Ane Books Pvt. Ltd.

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1 APPLIED SCIENCE / ENGINEERING Applied -I Applied -II Abhimanyu Singh Abhimanyu Singh Contents: Preface, Syllabus 1. Complex Numbers 2. Infinite Series 3. Successive Differentiation 4. Expansion of Functions and Approximate Calculations 5. Asymptotes 6. Curvature 7. Curve Tracing 8. Integration 9. Area of Plane Curves (Quadrature) 10. Rectification 11. Volume and Surface of Solids of Revolutions 12. Matrices Contents: Unit I: Calculus of Several Variables 1. Partial Differentiation 2. Applications of Partial Differentiation 3. Multiple Integrals Unit II: Functions of A Complex Variable 4. Functions of a Complex Variable 5. Conformal Transformation 6. Complex Integration 7. Power Series Unit III: Vector Calculus 8. Vector Differentiation 9. Vector Integration Unit IV: Laplace Transform 10. Laplace Transformation 11. Inverse Laplace Transforms (Pb) 2010 ` (Pb) 2012 ` Chemistry Physics 2/ed 32 V.K. Ahluwalia Prabir K. Basu Hrishikesh Dhasmana Contents: 1. Chemical Bonding and States of Matter 2. Reaction Kinetics 3. Phase Rule and Electrochemistry 4. Structural and Mechanistic Concepts of Organics 5. Polymer and Organometallics 6. Analytical Methods and Fuels (Pb) 2011 ` (Pb) 2010 `

2 APPLIED SCIENCE / ENGINEERING Textbook of Chemistry 2/ed R. N. Goyal Harmendra Goel Advanced Vol I V.R.L. Gorty Contents: 1. Chemical Bonding 2. Acids and Bases 3. Chemical Kinetics and Catalysis 4. Solid State 5. Electrochemistry 6. Environmental Chemistry 7. Corrosion 8. Lubricants 9. Water Chemistry 10. Fuels and Combustion 11. Instrumental Techniques 12. Polymer Chemistry 13. Stereoisomerism and Mechanism of Organic Reactions 14. Coordination Chemistry 15. Quantitative Analysis 16. Phase Rule 17. Experiments in Chemistry, Index Contents: Preface, Acknowledgement 1. Matrix 2. Vector Calculus and Analysis 3. Laplace Transforms 4. Probability Distributions 5. Testing of Hypothesis, Appendix, References (Pb) 2011 ` (Pb) 2009 ` A Project & Problem Based Approach -I 33 Harish Parthasarathy Abhimanyu Singh Contents: Acknowledgements, Preface, 1 The Derivative and the Integral, 2 Ordinary Differential equations, 3 Solved Examples, 4 Solved examples, 5 Linear algebra and matrix theory, 6 Fourier series and transforms, 7 Partial differential equations, 8 Functions of a complex variable, 9 Laplace transforms, 10 Vector algebra, 11 Vector calculus, 12 Probability theory and statistics, 13 Riemannian geometry and tensor calculus, 14 Selected topics in Group theory with applications, 15 Perturbation theory for differential equations, 16 Calculus of variations, 17 Stochastic filtering theory, 18 Generalized functions, 19 Simulation of analog systems on the digital computer, 20 Basic Circuit and System theory, 21 MATLAB Exercises, 22 Appendix: Reprints of some technical reports from DSP lab at NSIT, 23 Miscellaneous solved and unsolved problems in engineering mathematics, Bibliography, Index. Contents: UNIT-I: DIFFERENTIAL CALCULUS-I 1. Successive Differentiation 2. Expansion of Functions and Approximate Calculations 3. Asymptotes 4. Curve Tracing 5. Partial Differentiation UNIT-II : DIFFERENTIAL CALCULUS II 6. Jacobians 7. Approximate Calculations of One and Two Variable Functions 8. Maxima/Minima UNIT- III : MATRICES 9. Matrices UNIT-IV : MULTIPLE INTEGRALS 10. Double and Triple Integrals 11. Beta and Gama Functions, Dirichlet Integrals and Applications UNIT-V : VECTOR CALCULUS 12. Vector Calculus 13. Integration of Vector Functions, Examination Paper (Pb) 2010 ` (Pb) 2012 `

3 Basic for BCA Calculus J.P. Singh J.P. Singh Contents: 1. Set Theory 2. Relations 3. Functions 4. Posets and Lattices 5. Limits and Continuity of Functions of Several Variables 6. Partial Differentiation 7. Multiple Integrals 8. Review of Two Dimensional 9. Solid Geometry Contents: Preface, 1. Matrices and Determinants, 2. Eigen Values and Eigen Vectors, 3. Limits, 4. Continuous Functions, 5. Differentiation, 6. Successive Differentiation, 7. General Mean Value Theorems, 8. Indeterminate Forms and L' Hopital Rule, 9. Maxima and Minima, 10. Concavity and Singular Points, 11. Asymptotes, 12. Curve Tracing, 13. Integration and its Techniques, 14. Reduction Formulae, 15. Beta and Gamma Functions, 16. Vector Algebra (Pb) 2011 ` (Pb) 2010 ` Complex Analysis Elements of Graph Theory 34 Anuradha Gupta S.K. Yadav Contents: 1. Complex Number and The Complex Plane 2. Functions of Complex Variable 3. Analytic Functions 4. Elementary Functions 5. Complex Integration 6. Cauchys Integral Formulas and their Consequences 7. Analytic Functions in a Disc 8. Simply Connected Region 9. Isolated Singularities 10. The Calculus of Residues 11. Contour Integration and Summation of Series 12. Conformal Mapings 13. Schwarzs Lemma-An Automorphism of Disc, Appendix, Bibliography, Index Contents: 1. The basics of Graph Theory 2. Trees 3. Planar Graphs 4. Directed Graphs 5. Matching and Covering 6. Colouring of Graphs 7. Ramsey Theory for Graphs 8. Emerging Trends in Graph Theory. References, Index (Pb) 2011 ` (Pb) 2010 `

4 Introduction to Linear Algebra Mathematical Modeling Application, Issues and Analysis Inder K. Rana Bimal K. Mishra Dipak K. Satpathi Contents: 1. From Geometry to Algebra-I: The Euclidean Space R3, 2. Systems of Linear Equations, 3. Linear Independence and Dependence of Vectors, 4. Determinants, 5. Vector Spaces, 6. Linear Transformations, 7. From Geometry to Algebra-II: Inner Product Spaces, 8. Orthogonal Projections and Orthogonal Basis, 9. Isometries and Orthogonal Matrices, 10. Diagonalization and the Spectral Theorem, 11. Applications of Diagonalization, Answers, Index Contents: Preface, List of Contributors, Section I: Drug Design, Section II: Biological Systems, Section III: Industrial, Section IV: Environmental Pollution, Section V: Fluid Mechanics, Section VI: Applied Analysis (Pb) 2010 ` (Pb) 2009 ` I For BCA -II For BCA 35 Zubair Khan Shadab Ahmad Khan Qazi Shoeb Ahmad Shadab Ahmad Khan Qazi Shoeb Ahmad Zubair Khan Contents: Preface 1. Trigonometry and Complex Numbers 2. Matrices and Determinant 3. Differential Calculus 4. Integral Calculus 5. Vector Calculus Contents: Preface, Unit-I : Partial Differentiation and its Applications, Unit- II : Ordinary Differential Equations, Unit-III : Partial Differential Equation and Geometry, Unit-IV : Probability and Distributions, Unit-V : Measures of Central Tendency (Pb) Reprint 2010 ` (Pb) Reprint 2010 `

5 Numerical and Statistical Techniques Qazi Shoeb Ahmad Zubair Khan Shadab Ahmad Khan Optimization Linear Programming B. N. Mishra B. K. Mishra Contents: Preface 1. Error and Computer Arithmetic 2. Solution of Algebraic and Transcendental Equations 3. Finite Differences 4. Interpolation 5. Numerical Differentiation and Integration 6. Numerical Solution of Ordinary Differential Equations 7. Curve Fitting 8. Regression Analysis 9. Time Series and Forecasting 10. Test of Significance and Analysis of Variance, Appendix, Index. Contents: Preface, 1. Linear Programming, 2. Simplex Method, 3. Convex Sets, 4. Transportation, 5. Assignment Problems, 6. Theory of games, 7. Duality Theory, 8. Degeneracy (Pb) Reprint 2010 ` (Pb) Reprint 2009 ` Probability and Numerical Methods 2/ed Real Analysis J. P. Singh J. P. Singh Contents: Preface, Symbols and their Recognization, 0.Elementary Concepts 1. Combinatorics: Permutation, Combination and Binomial Theorem 2. Probability-I 3. Probability-II 4. Random Variable and Probability Distributions 5. Correlation, Regression and Curve Fitting 6. Finite Difference 7. Interpolation 8. Solution of Algebraic and Transcendental Equations 9. Solution of Linear Simultaneous Equations 10. Numerical Differentiation and Integration 11. Probability-III,Tables,End Term Examination Contents: 1. Complex Number, 2. Sequence, 3. Infinite Series, 4. Vector Calculus, 5. Fourier Series, 6. Ordinary Differential Equations, 7. Linear Differential Equation of Higher Order and Special Methods (Pb) 2011 ` (Pb) 2009 `

6 Topology Geometric Approach Discrete for Undergraduates M. Ganesh J.P. Singh Contents: Contents: 1. Set Theory 2. Relations 3. Functions 4. Posets and Lattices 5. Mathematical Logic 6. Graph Theory 7. Paths and Circuits 8. Graph Coloring (Pb) Reprint 2010 ` (Pb) 2013 ` Discrete with Graph Theory 37 S.K. Yadav Contents: 1. The Language of Sets 2. Basic Combinatorics 3. Mathematical Logic 4. Relations 5. Functions 6. Lattice Theory 7. Boolean Algebras and Applications 8. Fuzzy Algebra 9. Formal Languages and Automata Theory 10. The Basics of Graph Theory 11. Trees 12. Planar Graphs 13. Directed Graphs 14. Matching and Covering 15. Colouring of Graphs, References, Index (Pb) 2013 `

MATHEMATICS. Course Syllabus. Section A: Linear Algebra. Subject Code: MA. Course Structure. Ordinary Differential Equations

MATHEMATICS. Course Syllabus. Section A: Linear Algebra. Subject Code: MA. Course Structure. Ordinary Differential Equations MATHEMATICS Subject Code: MA Course Structure Sections/Units Section A Section B Section C Linear Algebra Complex Analysis Real Analysis Topics Section D Section E Section F Section G Section H Section