## Self Study

 • 12th Standard • 11th Standard • 10th Standard • 9th Standard • 8th Standard • 7th Grade Standard • 6th Grade Standard • 5th Standard • BA Degree • BBM Degree • BCom Degree • BSc Degree • LLM Degree • MSc Degree • MCom Degree • MA Degree • MBA Common Subjects • MBA Marketing • MBA Finance • MBA Human Resource • MBA General Management • MBA Systems • MBA Operations • MBA Tourism & Hotel Mgmt • MCA Degree • LLB Degree
BSc (Bachelors of Science) Degree >>
 Questions Books Reading Material Videos Question Paper Subjects BSc Colleges

# Study BSc - Classical Algebra and Calculus

I Binomial, exponential theorems –their statements and proofs – their immediate application to summation only. Logarithmic series theorem – statement and proof – immediate application to summation only. Convergence and divergence of series – definitions, elementary results- Comparison tests – De Alemberts and Cauchy’s tests. II Absolute convergence- series of positive terms – Cauchy’s condensation test –Raabe’s test. Theory of equations- roots of an equations – relations connecting the roots and coefficients . Transformations of equations –character and position of roots – Descarte’s rule of signs – symmetric functions of roots. III Multiple roots – Rolle’s theorem – position of real roots of f(x) = 0. Newton’s method of approximation to a root and Fourier’s rule – Horner’s method. Curvature – radius of curvature in cartesian and polar forms – Evolutes and envelopes – pedal equations – total differentiation – Euler’s theorem on homogeneous functions. IV Integration of f’(x)/f(x) , ( px+q)/(ax2 + bx + c), √[(x-α) /(β-x)], √ [(x-α) (β-x)], 1/√ [(x-α) (β-x)], 1 /(acosx + bsinx +c), 1/(a cos2x + bsin2x +c) . Integration by parts. Reduction formulae – problems – double and triple integrals –definitions – applications to calculations of areas and volumes – area in polar coordinates. Anx.18 D - B.Sc Maths (SDE) 2007-08 Page 3 of 26 V Approximate integration- Simpson’s rule and Trapezoidal rule, change of order of integration in double integral- change of variables in double and triple integrals – Jacobians. Notion of improper integrals- their convergence- simple tests for convergence- simple problems- Beta and Gamma integrals – their properties-.relation between them.

## BSc Subjects

 Applied Electronics Atomic Physics and Nuclear Physics Classical Algebra and Calculus CLIENT SERVER COMPUTING Climatology and Oceanography Complex Analysis DATA COMMUNICATION AND NETWORKS DATA STRUCTURES AND C PROGRAMMING Differential Equation Lap lace Transforms DIGITAL FUNDAMENTALS AND ARCHITECTURE Economic geography Geography of India Geomorphology Heat Thermodynamics Mechanics Properties of Matter and Sound Human geography INTERNET and JAVA PROGRAMMING MATHEMATICAL FOUNDATION FOR COMPUTER Mathematical Physics Mechanics Modern Algebra OBJECT ORIENTED PROGRAMMING WITH C++ Optics Electricity and Magnetism Principles of cartography Quantum Mechanics and Relativity Real Analysis SOFTWARE ENGINEERING Solid State Physics Statistics for geographers Statistics for Mathematics SYSTEM SOFTWARE AND OPERATING SYSTEM Trigonometry Vector Calculus and Analytical Geometry VISUAL PROGRAMMING WEB TECHNOLOGY Business Economics Business Management Business Organisation and Office Management Business Statistics Commercial Law and Company Law Company law and secretarial practice I Company law and Secretarial practice II Corporate Accounting Cost and Management Accounting Executive Communication Financial Accounting Industrial law Life Office Management Managerial Economics Mathematics for Business Principles of Accountancy Principles of Life Insurance Principles of Management Principles of Marketing Priniciples of Reinsurance Statistics

### Free Videos

BA Questions BA DEGREE Articles BA DEGREE Question Paper BA DEGREE Free Books Download BA DEGREE Free Videos
BCOM Questions BCOM DEGREE Articles BCOM DEGREE Question Paper BCOM DEGREE Free Books Download BCOM DEGREE Free Videos
BSC Questions BSC DEGREE Articles BSC DEGREE Question Paper BSC DEGREE Free Books Download BSC DEGREE Free Videos
LLB Questions LLB DEGREE Articles LLB DEGREE Question Paper LLB DEGREE Free Books Download LLB DEGREE Free Videos
BBM Questions BBM DEGREE Articles BBM DEGREE Question Paper BBM DEGREE Free Books Download BBM DEGREE Free Videos
MA Questions MA DEGREE Articles MA DEGREE Question Paper MA DEGREE Free Books Download MA DEGREE Free Videos
MCOM Questions MCOM DEGREE Articles MCOM DEGREE Question Paper MCOM DEGREE Free Books Download MCOM DEGREE Free Videos
MSC Questions MSC DEGREE Articles MSC DEGREE Question Paper MSC DEGREE Free Books Download MSC DEGREE Free Videos
LLM Questions LLM DEGREE Articles LLM DEGREE Question Paper LLM DEGREE Free Books Download LLM DEGREE Free Videos
MBA MARKETING Questions MBA MARKETING Articles MBA MARKETING Question Paper MBA MARKETING Free Books Download MBA MARKETING Free Videos
MBA FINANCE Questions MBA FINANCE Articles MBA FINANCE Question Paper MBA FINANCE Free Books Download MBA FINANCE Free Videos
MBA HR Questions MBA HR Articles MBA HR Question Paper MBA HR Free Books Download MBA HR Free Videos
MBA OPERATIONS Questions MBA OPERATIONS Articles MBA OPERATIONS Question Paper MBA OPERATIONS Free Books Download MBA OPERATIONS Free Videos
MBA SYSTEMS Questions MBA SYSTEMS Articles MBA SYSTEMS Question Paper MBA SYSTEMS Free Books Download MBA SYSTEMS Free Videos