Maths

MSc III Semester

Classical Dynamics :All units CLASSICAL DYNAMICS all units except unit 3 Hamilton-Jacobi Theory Hamilton's equations Unit 1 Generalised Coordinates Unit 3 velocity dependent potentials Unit 3 Applications of Lagrange’s Eqn Rayleigh dissipation Unit 3 Gyroscopic systems Unit 4 variational principles

Measure and Integration: Unit-1 Lebesgue outer measure Unit-2 Riemann and Lebesgue integrals Unit-3 Unit 4 Convergence measure in page 376 Unit-5 Measurability in a Product space2 Unit-5 Product measures 1 Unit-5 Product Measures and Fubini’s theorem 2 Unit-5 Product Measures and Fubini’s theorem1

Topology : All Units MS Univ UNIT I TOPOLOGICAL SPACES Introduction UNIT I TOPOLOGICAL SPACES

UNIT II CONTINUOUS FUNCTIONS UNIT III CONNECTEDNESS Introduction UNIT III Components

UNIT III CONNECTEDNESS exambles UNIT IV COMPACTNESS Unit V COUNTABILITY AND SEPARATION AXIOMS Unit V The Tietz extension theorem Unit V The-Urysohn-Metrization-Theorem 1 Unit V The-Urysohn-Metrization-Theorem Topology calicut

BSc V Semester

Numerical Methods with MATLAB Programming: Unit1 MATLAB Environment Unit 2 Plotting Unit 2 Three Dimensional Plotting 1 Unit 2 Three Dimensional Plotting Unit 3 Unit 4 Numerical Techniques Curve Fitting UNit 5 Page 133 Interpolation

Real Analysis :Unit 1 Real Number System Uint 2 Continuous functions Uint 2 Limit of functions Unit 2 properties Continuous functions Uint 3 Derivability & Continuity Inverse Function Uint 4 Rolles Mean Value unit3 Darboux Uint 4 Taylor’s Theorem Uint 5 Riemann integration Uint 5 Properties Fundamental ,Mean Value Theorem

Statics : Unit 1 Unit 3 Coplanar Force Unit 2 Parallel forces and Moments Unit 3 Equilibrium of three forces Unit 4 Friction All Units MS University

Operations Research :Unit1 2 3 Linear programming problem Duality Simplex Unit1 3 Linear Programming Problems III Unit 1 some exceptional cases Unit 2 Big M Method Unit 2 LPP Duality Simplex Unit 3 MODI Unit 4 Queuing models Unit 4 Queuing system Unit 5 Basic components Unit 5 PERT OR All Units and Units 1

BSc III Semester

Sequences and Series : All Units Page no 86 to 145 Unit-1 2 3 Sequences Unit-4 5 Series

Unit-5 Alternating Series – Absolute Convergence

Classical Algebra and Theory of Numbers : Unit 1 Unit 2 Theory of equations Unit 2 Reciprocal equations Unit 2 Sum of Powers of Roots

Unit 2 Unit 3 Unit5 Number Theory 1 Unit 4 Applications to Maxima & Minima Unit 4 Weirstrass inequalities Unit 5 Introduction

Quantitative Aptitude I : Unit 1 Number Workbook1 Unit 1 Number Workbook 2 Unit 1 Number Workbook 3

Unit 1 Numbers Unit 2 Decimal Fractions and Simplification Unit 2 Simplification Unit 3 Percentage 1 Unit 3

Percentage Unit 3 Profit and Loss Unit 3 Surds and Indices Unit 4 Allegation or Mixture Unit 4 Partnership Unit 4 Ratio and Proportion Unit 5 Average Unit 5 Problems on Age

BSc I Semester

Differential Calculus :

UNIT I Successive Differentiation Successive Differentiation 2 Increasing & Decreasing functions Maxima and Minima UNIT II Curvature Page79 Unit III Expansion UNIT IV Hyperbolic functions Page no 82 UNIT V Summation of Trigonometric series Angles in arithmetic progression Gregory’s series Logarithm of a complex number new

Integral Calculus : Book Integral Calculus Unit 1,2,4 Page 223 , 279-282 307 ,343 E Book Introduction I C

E Book Guide to Integration Unit 2 chapter 6.5 Definite integrals Unit 3 Application of Integration Unit 3 Areas in polar co-ordinates new

Unit 5 Beta & Gamma functions