Sujit Prasad Kushwaha

This is the mathematics formulae book for class 12 students. Here, we have covered all the formulae needed to solve the questions of Mathematics. Permutation The total arrangement of total objects taken some or all at a time is called permutation. The permutation of 'n' objects taken 'r' at a time is denoted by $^np_{r}$ and is defined by; 1. $^np_{r}=\frac{n!}{(n-r)!}$ 2. Permutation of an object, all different;$$=\frac{n!}{p!\,q!\,r!}$$ where,  n=total objects p=repetition of first kind  q=repetition of second kind r=repetition of third kind 3. Circular permutation= $(n-1)!$ 4. If clockwise and anticlockwise arrangement are not distinguishable [necklace of beads and beads into bracelet]; Total number of permutation=$\frac{(n-1)!}{2}$ Combination The selection of total objects taken some or all at a time is called combination. The combination of 'n objects taken 'r' at a time is denoted by $^nc_{r} \, or \, c(n,r)$ and defined by; $$^nc_{r}=\frac{n!}{(n-r)!...

The Largest Structure in the Universe that you are referring to is known as the "Sloan Great Wall," and it is a vast supercluster of galaxies located in the constellation Pisces. The supercluster was discovered in 2003 by a team of astronomers using data from the Sloan Digital Sky Survey, and it is thought to be the largest known structure in the universe. The supercluster consists of 830 separate galaxies that are contained within four connected galaxy clusters. It stretches across an estimated distance of 1 billion light years and is thought to contain the mass of about 500 trillion suns. The Sloan Great Wall is so large that it takes light billions of years to traverse it, meaning that we are observing it as it was when the universe was much younger. The discovery of the Sloan Great Wall has provided important insights into the structure and evolution of the universe. Credits: NASA, ESA, Images by Science Photo Library

Welcome to www.sujitpk.com.np , your premier online hub for accessing top-notch calculus notes! Whether you're a student grappling with derivatives and integrals, a math enthusiast looking to expand your knowledge, or a professional in need of a calculus refresher, this website is the ultimate resource for you. Explore a vast collection of meticulously prepared calculus notes covering topics such as limits, differentiation, integration, and more. With a simple click, you can download these comprehensive notes and embark on a journey towards mastering calculus. Calculus Download Calculus Notes for BSC First Year in PDF format. Chapter 1: Tangents and Normals Tangents and Normals Chapter 2: Higher Order Derivatives and Mean Value Theorems Higher Order Derivatives Mean Value Theorems Chapter 3: Application of Derivatives Indeterminant Forms Asymptotes Tracing of Curves Curvature Chapter 4: Partial Differentiations and Maxima and Minim...

 New Syllabus Course Title: Fundamental of Statistics Course Code: STAT.101 Nature of Course: Theory Group A 1. Introduction to Statistics [5] Meaning of Statistics as a Science, Importance of Statistics; Scope of Statistics in the field of physical Sciences, Social Sciences, Management Sciences, Information Technology, Agriculture, Insurance, Education and Psychology. 2. Population and Sample [8] Types of Characteristics, Scales of measurement, qualitative, quantitative, discrete and continuous variables, entities, types of data, (i)primary data, secondary data and their sources (ii)cross sectional data, time series data, failure time data, panel data, Notion of a statistical population, finite population, infinite population, homogeneous population and heterogeneous population, Notion of sample, random sample and non-random sample, methods of sampling (description only); simple random sampling with replacement (SRSWR) and without replacement (SRSWOR). 3. Presentation of Data [6] ...

Course Description This course is designed for first year of Four years B.Sc. program. The main aim of this course is to provide knowledge of Calculus.  Course Objectives: The objective of this course is to acquaint students with the concepts of Calculus and differential equations and their applications. It aims at enabling students to build knowledgebase in Calculus.  Course Contents Unit 0. Review of Elementary Calculus: Functions, Graphs, Evaluations of limits, Continuity, Discontinuity, Test of continuity and properties of continuous functions. [10 Lectures]  Unit 1. Tangents and Normals:  Tangents and Normals, Subtangents, Subnormal and their lengths, Derivatives of arc length, Polar equations of subtangents and subnormal, Angle between radius vector and tangent, Length of perpendicular from pole on tangent, Pedal equations and Angle between two curves. [10 Lectures]  Unit 2. Higher Order Derivatives and Mean Value Theorems:  Higher order derivati...