Name of the Assistant/ Associate Professor: Manoj Kumar Class and Section: BBA II semester Subject: business statistics Period: January 2019 to April 2019

January 2019

Ist week Day 1 Statistics: Meaning, evolution Day 2 scope, Day 3 limitations and applications Day 4 data classification Day 5 Holiday Day 6 tabulation and presentation IInd week Day 1 meaning, objectives and types of classification Day 2 formation of frequency distribution Day 3 formation of frequency distribution Day 4 role of tabulation, parts Day 5 types and construction of tables Day 6 significance 3rd week Day 1 types and construction of diagrams and graphs Day 2 types and construction of diagrams and graphs Day 3 Activity Day 4 Measures of Central Tendency - Meaning and objectives Day 5 different measure viz. arithmetic mean Day 6 different measure viz. arithmetic mean IVth week Day 1 Holiday Basant Panchami Day 2 median Day 3 median Day 4 median Day 5 Holiday Republic Day Day 6 mode

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Name of the Assistant/ Associate Professor: Manoj Kumar Class and Section: BBA II semester Subject: business statistics Period: January 2019 to April 2019

February 2019

Ist week Day 1 geometric mean Day 2 geometric mean Day 3 harmonic mean, Day 4 harmonic mean, Day 5 characteristics, applications and limitations of these measures Day 6 numericals IInd week Day 1 numericals Day 2 measure of variation - range Day 3 Holiday Day 4 range Day 5 range Day 6 quartile deviation 3rd week Day 1 quartile deviation Day 2 mean deviation Day 3 mean deviation Day 4 mean deviation Day 5 standard deviation Day 6 standard deviation IVth week Day 1 standard deviation Day 2 standard deviation Day 3 co-efficient of variation and skewness Day 4 standard deviation Day 5 standard deviation Day 6 co-efficient of variation and skewness

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Name of the Assistant/ Associate Professor: Manoj Kumar Class and Section: BBA II semester Subject: business statistics Period: January 2019 to April 2019

March 2019

Ist week Day 1 co-efficient of variation and skewness Day 2 co-efficient of variation and skewness Day 3 class tests Day 4 Meaning of correlation, types of correlation Day 5 positive and negative correlation, simple, partial and multiple correlation Day 6 methods of studying correlation; scatter diagram, graphic and direct method IInd week Day 1 Regression Day 2 Regression Day 3 Regression Day 4 rank correlation, coefficient of determination Day 5 rank correlation, coefficient of determination Day 6 lines of regression, co-efficient of regression, 3rd week Day 1 lines of regression, co-efficient of regression, Day 2 lines of regression, co-efficient of regression, Day 3 standard error of estimate Day 4 standard error of estimate Day 5 standard error of estimate Day 6 Activity IVth week Day 1 Index number and their uses in business; Day 2 construction of simple and weighed price Day 3 construction of simple and weighed price Day 4 quantity and value index numbers Day 5 quantity and value index numbers Day 6 quantity and value index numbers

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Name of the Assistant/ Associate Professor: Manoj Kumar Class and Section: BBA II semester Subject: business statistics Period: January 2019 to April 2019

April 2019

Ist week Day 1 test for an ideal index number Day 2 components of time viz. secular trend Day 3 components of time series viz. secular trend Day 4 cyclical, seasonal Day 5 irregular variations Day 6 methods of estimating secular trend and seasonal indices; IInd week Day 1 methods of estimating secular trend and seasonal indices; Day 2 methods of estimating secular trend and seasonal indices; Day 3 methods of estimating secular trend and seasonal indices; Day 4 Activity Day 5 use of time series in business forecasting and its limitations Day 6 Holiday 3rd week Day 1 use of time series in business forecasting and its limitations Day 2 calculating growth rate in time series Day 3 calculating growth rate in time series Day 4 calculating growth rate in time series Day 5 calculating growth rate in time series Day 6 Activity IVth week Day 1 Problem Based on coorelation Day 2 Problem Based on coorelation Day 3 problem Based on mean and median Day 4 problem based on mode Day 5 problem based on regression Day 6 problem based on standard deviation

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Name of the Assistant/ Associate Professor: Manoj Kumar Class and Section: B.Sc.(non medical) IV semester Subject: Special Functions And Transforms Period: January 2019 to April 2019

January 2019

Ist week Day 1 Introduction of Special Function Day 2 Series solution of differential equations Day 3 method Day 4 Definitions of Beta and Gamma functions Day 5 HOLIDAY Day 6 ACTIVITY IInd week Day 1 Problem based on Beta and Gamma functions Day 2 Properties based on Beta and Gamma functions Day 3 Bessel equation and its solution Day 4 Convergence, Day 5 recurrence formulae Day 6 ACTIVITY 3rd week Day 1 Relations and generating functions Day 2 Relations and generating functions Day 3 Relations and generating functions Day 4 Orthogonality of Bessel functions. Day 5 Legendre and Hermite differentials equations Day 6 ACTIVITY IVth week Day 1 HOLIDAY Day 2 Solution of Legendre and Hermite differentials equations Day 3 Solution of Legendre and Hermite differentials equations Day 4 HOLIDAY Day 5 Properties of Legendre and Hermite differentials equations Day 6 Properties of Legendre and Hermite differentials equations

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Name of the Assistant/ Associate Professor: Manoj Kumar Class and Section: B.Sc.(non medical) IV semester Subject: Special Functions And Integral Transforms Period: January 2019 to April 2019

February 2019

Ist week Day 1 Topic to be covered Day 2 Orhogonality of Legendre Day 3 Orhogonality of Hermite polynomial Day 4 Rodrigues’ Formula for Legendre Day 5 Rodrigues’ Formula for Hermite polynomial Day 6 Laplace Integral Representation of Legendre polynomial. IInd week Day 1 Laplace Transforms Day 2 Existence theorem for Laplace transforms Day 3 Linearity of the Laplace transforms Day 4 HOLIDAY Day 5 Shifting theorems Day 6 HOLIDAY 3rd week Day 1 Laplace transforms of Day 2 Laplace transforms of Day 3 Differentiation and integration of Laplace transforms Day 4 ACTIVITY Day 5 Differentiation and integration of Laplace transforms Day 6 Convolution theorem IVth week Day 1 Problem based on Convolution theorem Day 2 Inverse Laplace transforms Day 3 Inverse Laplace transforms of derivatives and integrals Day 4 solution of ordinary differential equations using Laplace transform. Day 5 Problem based on Laplace Transform and Inverse Transform Day 6 Introduction of Fourier Transform

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Name of the Assistant/ Associate Professor: Manoj Kumar Class and Section: B.Sc.(non medical) IV semester Subject: Special Functions And Integral Transforms Period: January 2019 to April 2019

March 2019

Ist week Day 1 Linearity property Day 2 Shifting Theorem Day 3 , Modulation Day 4 Convolution Theorem Day 5 Problem based on convolution Day 6 ACTIVITY IInd week Day 1 Fourier Transform of Derivatives Day 2 Fourier Transform of Derivatives Day 3 Fourier Transform of Derivatives Day 4 Problem based on fourier Transform Day 5 Relations between Fourier transform and Laplace transform Day 6 ACTIVITY 3rd week Day 1 Parseval’s identity of fourier transform Day 2 Problem based on fourier Transform Day 3 Problem based on fourier cosineTransform Day 4 Problem based on fourier sine Transform Day 5 Problem based on fourier Transform Day 6 ACTIVITY IVth week Day 1 solution of differential Equations using Fourier Transforms. Day 2 solution of differential Equations using Fourier Transforms. Day 3 solution of differential Equations using Fourier Transforms. Day 4 solution of differential Equations using Fourier Transforms. Day 5 solution of differential Equations using Fourier Transforms. Day 6 ACTIVITY

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Name of the Assistant/ Associate Professor: Manoj Kumar Class and Section: B.Sc.(non medical) IV semester Subject: Special Functions And Integral Transforms Period: January 2019 to April 2019

April 2019

Ist week Day 1 Problem based on special function Day 2 problem based on special function Day 3 Problem based on complete fourier transform Day 4 problem based on solution of using fourier Transform Day 5 Day 6 ACTIVITY IInd week Day 1 problem based on solution of differential equation using fourier Transform Day 2 problem based on solution of differential equation using fourier Transform Day 3 problem based on solution of differential equation using fourier Transform Day 4 problem based on solution of differential equation using fourier Transform Day 5 ACTIVITY Day 6 HOLIDAY 3rd week Day 1 problem based on solution of differential equation using fourier Transform Day 2 problem based on solution of differential equation using fourier Transform Day 3 HOLIDAY Day 4 problem based on solution of differential equation using fourier Transform Day 5 problem based on solution of differential equation using fourier Transform Day 6 ACTIVITY IVth week Day 1 Day 2 Day 3 Day 4 Day 5 Day 6

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Name of the Assistant/ Associate Professor: Manoj Kumar Class and Section:B.Sc.(non medical) IVsemester Subject: and Series Period: January 2019 to April 2019

January 2019

Ist week Day 1 Real Number System Day 2 Boundedness of the set of real numbers Day 3 Least upper bound, greatest lower bound of a set Day 4 Theorem based on Least Upper bound Day 5 HOLIDAY Day 6 ACTIVITY IInd week Day 1 Neighborhoods, interior points Day 2 Isolated points, points Day 3 Theorems based on Limit points Day 4 Open sets, closed set Day 5 Example based on Open set, closed set Day 6 ACTIVITY 3rd week Day 1 Interior of a set Day 2 Closure of a set in real numbers and their properties Day 3 Theorem based on Interior and closed set Day 4 Theorem based on Interior and closed set Day 5 Bolzano-Weiestrass theorem Day 6 ACTIVITY IVth week Day 1 HOLIDAY Day 2 Proof of Bolzano-Weiestrass theorem Day 3 Open covers Day 4 HOLIDAY Day 5 Compact sets Day 6 Theorem based on Compact sets

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Name of the Assistant/ Associate Professor: Manoj Kumar Class and Section:B.Sc.(non medical) IVsemester Subject: Sequences and Series Period: January 2019 to April 2019

February 2019

Ist week Day 1 Introduction of and Series Day 2 Convergence sequence Day 3 Theorem based on Convergence sequence Day 4 Limit Point of Sequence Day 5 Theorem based on Limit Point of Sequence Day 6 Bounded and monotonic sequences IInd week Day 1 Monotonic Increasing and Decreasing Sequence Day 2 Theorem based on Monotonic Sequence Day 3 HOLIDAY Day 4 Cauchy’s sequence Day 5 HOLIDAY Day 6 Theorem based on Cauchy’s sequence 3rd week Day 1 Cauchy general principle of convergence Day 2 Cauchy general principle of convergence Day 3 ACTIVITY Day 4 Subsequences Day 5 Subsequential limits Day 6 Infinite series: Convergence and of Infinite Series IVth week Day 1 Infinite series: Convergence and divergence of Infinite Series Day 2 Comparison Tests of positive terms Infinite series Day 3 Problem based on Comparison Tests of positive terms Infinite series Day 4 Convergence and divergence of Day 5 Hyper Harmonic series or p-series Day 6 Hyper Harmonic series or p-series

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Name of the Assistant/ Associate Professor: Manoj Kumar Class and Section:B.Sc.(non medical) IVsemester Subject: Sequences and Series Period: January 2019 to April 2019

March 2019

Ist week Day 1 Infinite series: D-Alembert’s Day 2 Problem based on D-Alembert’s ratio test Day 3 Raabe's test Day 4 Problem based on Raabe's test Day 5 Problem based on Raabe's test Day 6 ACTIVITY IInd week Day 1 Logarithmic test Day 2 Problem based on Logarithmic test Day 3 Problem based on Logarithmic test Day 4 de Morgan and Bertrand’s test Day 5 Problem based on de Morgan and Bertrand’s test Day 6 ACTIVITY 3rd week Day 1 Cauchy’s Nth Day 2 Problem based on Cauchy’s Nth root test Day 3 Problem based on Cauchy’s Nth root test Day 4 Gauss Test Day 5 Problem based on Gauss Test Day 6 ACTIVITY IVth week Day 1 Problem based on Gauss Test Day 2 Cauchy’s integral test Day 3 Problem based on Cauchy’s integral test Day 4 Cauchy’s condensation test Day 5 Problem based on Cauchy’s condensation test Day 6 ACTIVITY

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Name of the Assistant/ Associate Professor: Manoj Kumar Class and Section:B.Sc.(non medical) IVsemester Subject: Sequences and Series Period: January 2019 to April 2019

April 2019

Ist week Day 1 , Leibnitz’s test Day 2 Absolute and conditional convergence Day 3 Arbitrary series: abel’s lemma Day 4 Abel’s test Day 5 Dirichlet’s test Day 6 ACTIVITY IInd week Day 1 Insertion and removal of parenthesis Day 2 Re-arrangement of terms in a series Day 3 Dirichlet’s Theorem Day 4 Riemann’s Re-arrangement theorem, Day 5 Pringsheim’s theorem Day 6 HOLIDAY 3rd week Day 1 Multiplication of series Day 2 Cauchy product of series Day 3 HOLIDAY Day 4 Convergence and absolute convergence of infinite products Day 5 Convergence and absolute convergence of infinite products Day 6 ACTIVITY IVth week Day 1 Day 2 Day 3 Day 4 Day 5 Day 6

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Name of the Assistant/ Associate Professor: Manoj Kumar Class and Section:B.Sc.(non medical) IVsemester Subject: Programming in C And Numerical Methods Period: January 2019 to April 2019

January 2019

Ist week Day 1 Finite Differences operators Day 2 Finite Differences operators and their relations Day 3 Problem based on Finite Differences operators and their relations Day 4 Problem based on Finite Differences operators and their relations Day 5 Holiday Day 6 Problem based on missing terms IInd week Day 1 Error, Type of error Day 2 problem based on error Day 3 effect of error in a difference tabular values Day 4 effect of error in a difference tabular values Day 5 Interpolation Day 6 Interpolation with equal interval 3rd week Day 1 Interpolation with unequal intervals Day 2 Problem based on Interpolation with equal intervals Day 3 Problem based on Interpolation with equal intervals Day 4 Problem based on Interpolation with equal intervals Day 5 Problem based on Interpolation with equal intervals Day 6 Newton’s forwardinterpolation formula IVth week Day 1 Holiday Basant Panchami Day 2 Newton’s backward interpolation formulae Day 3 problem based on Newton forward Day 4 problem based on Newton backward Day 5 Holiday Republic Day Day 6 Programme based on Newton forward interpolation

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Name of the Assistant/ Associate Professor: Manoj Kumar Class and Section:B.Sc.(non medical) IVsemester Subject: Programming in C And Numerical Methods Period: January 2019 to April 2019

February 2019

Ist week Day 1 Newton’s divided difference formulae Day 2 Problem based on Newton’s divided difference formulae Day 3 Programme based on Newton Divided difference Day 4 Lagrange’s Interpolation formulae, Day 5 Problem based on Lagrange’s Interpolation formulae, Day 6 Programme based on Lagrang interpolation formulae IInd week Day 1 Hermite polynomial Day 2 Problem based on Hermite polynomial Day 3 Holiday Day 4 Problem based on Hermite polynomial Day 5 Holiday Day 6 Central Differences formulae 3rd week Day 1 problem based on Central Differences formulae Day 2 problem based on Central Differences formulae Day 3 Practical Day 4 Gauss forward formulae Day 5 Programme based on Gauss forward formulae Day 6 Programme based on Gauss forward formulae IVth week Day 1 problem based on Gauss forward interpolation formulae Day 2 problem based on Gauss forward interpolation formulae Day 3 problem based on Gauss forward interpolation formulae Day 4 Gauss’s backward interpolation formulae Day 5 problem based on Gauss’s backward interpolation formulae Day 6 Holiday

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Name of the Assistant/ Associate Professor: Manoj Kumar Class and Section:B.Sc.(non medical) IVsemester Subject: Programming in C And Numerical Methods Period: January 2019 to April 2019

March 2019

Ist week Day 1 programme based on Gauss backward interpolation formulae Day 2 Meaning of sterling Day 3 Problem based on Sterling, Day 4 Bessel Formula. Day 5 Problem based on Bessel Formula. Day 6 Practical IInd week Day 1 Probability distribution of random variables Day 2 Probability distribution of random variables Day 3 Binomial distribution, Day 4 problem based on Binomial distribution Day 5 properties of Binomial Distributions Day 6 Poisson’s distribution, 3rd week Day 1 problem based on Poisson distribution Day 2 Normal distribution Day 3 Problem based on Normal distribution Day 4 Properties based on Normal distribution Day 5 Mean, Variance Day 6 Problem based on mean variance IVth week Day 1 properties of mean , variance Day 2 curve fitting Day 3 problem based on curve fitting Day 4 programme based on curve fitting Day 5 Numerical Differentiation Day 6 practicals

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Name of the Assistant/ Associate Professor: Manoj Kumar Class and Section:B.Sc.(non medical) IVsemester Subject: Programming in C And Numerical Methods Period: January 2019 to April 2019

April 2019

Ist week Day 1 Eigen Value Problems Day 2 Power method Day 3 Problem based on Eigen Value Problems Day 4 Problem based on Eigen Value Problems Day 5 Problem based on Power Method Day 6 Practical IInd week Day 1 Jacobi’s method Day 2 Problem based on Jacobi’s method Day 3 Problem based on Jacobi’s method Day 4 Given’s method, Day 5 Practical Day 6 Holiday 3rd week Day 1 Problem based on Given’s method, Day 2 House-Holder’s method, Day 3 QR method Day 4 Lanczos method Day 5 Problem based on House-Holder method Day 6 Practical IVth week Day 1 Day 2 Day 3 Day 4 Day 5 Day 6

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