Sujit Prasad Kushwaha

Course Objectives At the end of this course the student should be able to acquire sufficient basic knowledge in physic and apply this knowledge for higher studies and research in physics MECHANICS [50] Course Contents:  1. Review of Laws of Motion:  1.1 Dynamics of a particle, General equations of motion, Types of forces, Conservation laws, Work-Energy theorem, Conservative forces, 1.2 Motion of a body near the surface of the earth, Linear restoring force, Potential energy curve, Non-conservative forces. [3 hours]  2. Linear and Angular Momentum:  2.1 Conservation of linear momentum, Centre of mass, Collision of two particles, 2.2 Deflection of a moving particle by a particle at rest, Rocket, Angular momentum and torque, 2.3 Motion under central force, Areal velocity, 2.4 Examples of conservation of angular momentum. [5 hours]  3. Gravitational Potentials and Fields:  3.1 Central Forces, Inverse square-law of force, 3.2 Gravitational field and poten...

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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)!...

                                                                  New Syllabus Course Title: Scientific Communication                                                                   Full Marks:50 Course No: SC 101                                                   ...

 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] ...