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Number Theory

**Number theory:**Number theory is known as the queen of the mathematics. There are many categories in number theory, such as elementary number theory, cryptography, geometry of numbers, Algebraic number theory, etc. Number theory has a lot of applications in day to day life such as cryptography is used for encoding and decoding of secret messages or ciphers. Number theory is used in the fields of banking, solving highly computational commands etc.

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MATLAB

**MATLAB**is a short form of matrix laboratory. It’s a software to analyse data, to develop algorithms and to create models and applications. It performs matrix manipulations, function plotting and so much higher mathematical operations. Millions of engineers and scientist use MATLAB. MATLAB has a big range of applications in each field such as in mathematics, engineering, machine learning, in day to day life, such as signal processing, communications, image and video processing, etc. In mathematics MATLAB is used to create and solve matrices and linear algebra problems, in polynomials and interpolation, to analyse the data, differential equations, etc

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Graph Theory

**Graph Theory:**This subject is about the study of graphs. It is concerned with graphs, coloring of graphs, networking, connectivity, graph enumeration, computational problems, geometry, knot theory, etc. Graph theory is useful in day to day life, such as in DNA sequencing, in designing the traffic network, in web designing, traffic lights, social networks, in matching problems, google maps, etc.

**Sample Questions:**

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Differential equations

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Partial differential equations

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Abstract Algebra

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Topology

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Numerical Analysis

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Functional Analysis

**Sample Questions:**

Example 1. What is bank reconciliation statement?

Example 2. Explain the importance of Bank Reconciliation Statement and give real examples explaining all possible items that make differences between cash balance in general ledger and bank statement balance.

Example 3. When Cash is presented on a Balance Sheet, what are the details of the Cash A/C? How does a Bank Reconciliation Statement factor into the Cash Balance? Please be specific in your details.

Example 4. A firm’s bank reconciliation statement shows a book balance of $32,740, an NSF check of $1,350, and a service charge of $95. Its adjusted book balance is

- $31,485.
- $34,185.
- $33,995.
- $31,295.

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Complex Analysis

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Differential Geometry

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Real Analysis

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Engineering Mathematics

**Sample Questions:**

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