Sujit Prasad Kushwaha

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...

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)!...

Situated just 7 kilometers north of Prithvichowk in the scenic Pokhara Valley, Mahendra Cave is a captivating natural wonder that has intrigued both travelers and locals. Located in the Batulechaur-16 area of northern Pokhara, this limestone cave offers more than just breathtaking geological formations; it's also rich in history, folklore, and spirituality. Whether you're an adventurer, a history enthusiast, or someone seeking spiritual peace, Mahendra Cave offers an unforgettable experience. The Historical Background: The story of Mahendra Cave's discovery is as fascinating as the cave itself. Local villagers, troubled by the loss of their domestic animals to wild tigers, tracked the predators back to what is now known as Mahendra Cave. This discovery, believed to have occurred in 2012 B.S., quickly made the cave a point of interest. Its significance grew even more when the late King Mahendra Bir Bikram Shah Dev visited the site in 2016 B.S. The cave was subsequently named...

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

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 Analytical Geometry and Vector Analysis.   Course Objectives: The objective of this course is to acquaint students with the basic concepts of Analytical Geometry and Vector Analysis. It aims at enabling students to build good knowledgebase in the subject of Analytical Geometry and Vector Analysis  Unit 1. Transformation of Coordinates:  Introduction to polar, cylindrical and spherical coordinates, Transformation, Rotation, Process involving combination of translation and rotation of axes, Invariants in orthogonal transformation. [10 Lectures]  Unit 2. Conic Sections and their properties:  Introduction, Conic section as a locus of a point and as a section of a cone, Central conic sections, Ellipse and hyperbola, Derivation of their equations in standard forms, Auxiliary circles and eccentric angle, Equations of...