**Download Dips Academy Assignment Sheets with Answers Keys in the pdf format**

**DIPS ACADEMY STUDY MATERIAL*** is enough to crack IITJAM 2022, NET 2022, GATE 2022 and many more entraces in Mathematics. In this post you will get the MATHEMATICS DIPS ACADEMY STUDY MATERIALS, this study material enhanced your knowledge , concepts and thinking ability through which you can easily crack the exam for which you are preparing for.*

*Therefore we are providing you all these iit jam maths study materials here for free which you can download easily in pdf format.*

DIPS ACADEMY ASSIGNMENT PDF

Here you get Dips Academy Assignment Pdf along with answer keys. CSIR-UGC NET is a test being conducted to determine the eligibility ‘for Junior Research Fellowship (JRF) and for Lectureship/Assistant Professor’ in Indian universities and colleges subject to fulfilling the eligibility criteria laid down by UGC.Candidates holding a BSc (Hons) or equivalent degree or candidates enrolled in integrated MS-PhD program with at least 55 per cent marks (50 per cent for SC/ST/PwD candidates) are also eligible to apply for the exam.

CSIR NET exam is conducted for 5 subjects – Chemical Science, Earth Science, Life Science, Mathematical Science and Physical Science.Among most of the candidates who apply for this job, the preference is given to NET qualified candidates and they grab the higher number of seats. As per the UGC 7th Pay Commission Recommendations, the pay scale for Lecturer Jobs is somewhere around Rs. 37000- 67000/- and might be increased to Rs. 1.31 Lacs

CSIR NET Study Materials . While choosing the study resources, make sure it covers the complete syllabus. Handwritten Notes For Csir Net Mathematics By Dips Academy are very useful notes for Csir Net Mathematics. Also these are very useful for iit jam mathematics

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**DIPS ACADEMY ASSIGNMENT : REAL ANALYSIS**

Table of Contents

Real analysis is **an area of analysis that studies concepts such as sequences and their limits, continuity, differentiation, integration and sequences of functions**. By definition, real analysis focuses on the real numbers, often including positive and negative infinity to form the extended real line.

Q.) How can I self tudy Real Analysis ?

You need two things to properly self-study real analysis:

- A couple of excellent textbooks to learn the theory properly
- An excellent source of problems with detailed solutions so you can practice what you’ve learned

**DIPS ACADEMY ASSIGNMENT : COMPLEX ANALYSIS**

Complex analysis is the **branch of mathematics investigating holomorphic functions**, i.e. functions which are defined in some region of the complex plane, take complex values, and are differentiable as complex functions.

**DIPS ACADEMY ASSIGNMENT : ORDINARY DIFFERENTIAL EQUATIONS**

**Q.) What is Ordinary differential equation? Give an example.**

An ordinary differential equation is an equation which is defined for one or more functions of one independent variable and its derivatives. It is abbreviated as ODE.

Example : –

y’=x+1 is an example of ODE.

**Q.) What are the types of Ordinary differential equations ?**

There are basically three types of ODEs:

Autonomous Ordinary Differential Equations

Linear Ordinary Differential Equations

Non-linear Ordinary Differential Equations

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**DIPS ACADEMY ASSIGNMENT : PARTIAL DIFFERENTIAL EQUATIONS**

In Mathematics, a partial differential equation is one of the types of differential equations, in which the equation contains unknown multi variables with their partial derivatives.

A **Partial Differential Equation** commonly denoted as PDE is a differential equation containing partial derivatives of the dependent variable (one or more) with more than one independent variable.

**DIPS ACADEMY ASSIGNMENT : GROUP THEORY **

In mathematics and abstract algebra, group theory **studies the algebraic structures known as groups**. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms.

**DIPS ACADEMY ASSIGNMENT : RING THEORY **

In algebra, ring theory is the study of rings algebraic structures in which addition and multiplication are defined and have similar properties to those operations defined for the integers. Ring theory studies the structure of rings, their representations, or, in different language, modules, special classes of rings (group rings, division rings, universal enveloping algebras), as well as an array of properties that proved to be of interest both within the theory itself and for its applications, such as homological properties and polynomial identities.

Commutative rings are much better understood tha noncommutative ones. Algebraic geometry and algebraic number theory, which provide many natural examples of commutative rings, have driven much of the development of commutative ring theory, which is now, under the name of commutative algebra, a major area of modern mathematics. Because these three fields (algebraic geometry, algebraic number theory and commutative algebra) are so intimately connected it is usually difficult and meaningless to decide which field a particular result belongs to. For example, Hilbert’s Nullstellensatz is a theorem which is fundamental for algebraic geometry, and is stated and proved in terms of commutative algebra. Similarly, Fermat’s last theorem is stated in terms of elementary arithmetic, which is a part of commutative algebra, but its proof involves deep results of both algebraic number theory and algebraic geometry.

**DIPS ACADEMY ASSIGNMENT : LINEAR ALGEBRA**

Linear algebra is a field of mathematics that is universally agreed to be a prerequisite to a deeper understanding of machine learning.

Although linear algebra is a large field with many esoteric theories and findings, the nuts and bolts tools and notations taken from the field are practical for machine learning practitioners. With a solid foundation of what linear algebra is, it is possible to focus on just the good or relevant parts.

Linear algebra is a branch of mathematics, but the truth of it is that linear algebra is the mathematics of data. Matrices and vectors are the language of data.

Linear algebra is about linear combinations. That is, using arithmetic on columns of numbers called vectors and arrays of numbers called matrices, to create new columns and arrays of numbers. Linear algebra is the study of lines and planes, vector spaces and mappings that are required for linear transforms.

It is a relatively young field of study, having initially been formalized in the 1800s in order to find unknowns in systems of linear equations. A linear equation is just a series of terms and mathematical operations where some terms are unknown.

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