Problem-solving: Computer engineers use mathematical methods to solve complex problems in computer engineering. For example, algorithms, data structures, and optimization techniques are mathematical concepts that are used to solve computational problems.
Design and modeling: Applied mathematics is used to design and model computer systems and networks. It helps engineers to understand the behavior of systems and predict their performance. This is important in the design of computer systems, as it helps engineers to optimize their performance and reliability.
Artificial Intelligence: Artificial Intelligence (AI) is an area of computer engineering that uses mathematical algorithms and models to simulate human intelligence. Applied mathematics is essential for AI, as it provides the mathematical models and algorithms that are used to build intelligent systems.
In conclusion, applied mathematics is a critical component of computer engineering. It plays a crucial role in solving complex problems, designing and modeling computer systems, cryptography, and artificial intelligence. It is a fundamental tool that computer engineers use to build and improve computer systems, making it an important subject for MSBTE board students to study.
312301 [AMS] Applied Mathematics Chapters/Units Name, Marks
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| Sr.No. | Chapters/Unit Name | Weightage |
|---|---|---|
| Unit 1 | [Indefinite Integration] Topics and Sub-topics:- 1.1 Simple Integration: Rules of integration and integration of standard functions 1.2 Integration by substitution 1.3 Integration by parts 1.4 Integration by partial fractions (only linear non repeated factors at denominator of proper fraction) |
20 Marks |
| Unit 2 | [Definite Integration] Topics and Sub-topics:- 2.1 Definite Integration: Definition,rules of definite integration with simple examples 2.2 Properties of definite integral (without proof) and simple examples. |
12 Marks |
| Unit 3 | [Differential Equation] Topics and Sub-topics:- 3.1 Concept of Differential Equation. 3.2 Order, degree and formation of Differential equations 3.3 Methods of solving differential equations: Variable separable form, Exact Differential Equation, Linear Differential Equation. |
12 Marks |
| Unit 4 | [Numerical Methods] Topics and Sub-topics:- 4.1 Solution of algebraic equations:Bisection method, Regula falsi method and Newton –Raphson method 4.2 Solution of simultaneous equations containing three Unknowns by iterative methods: Gauss Seidal and Jacobi’s method 4.3 Bakhshali iterative method for finding approximate square root. (IKS) |
12 Marks |
| Unit 5 | [Probability Distribution.] Topics and Sub-topics:- 5.1 Binomial distribution. 5.2 Poisson’s distribution. 5.3 Normal distribution. |
12 Marks |
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