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.
Cryptography: Cryptography is the study of secure communication and is a crucial component of computer engineering. Applied mathematics plays a crucial role in cryptography by providing the mathematical foundations for encryption algorithms. These algorithms are used to protect sensitive information, such as financial transactions, personal data, and government secrets.
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.
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22224 [AMS] Applied Mathematics Chapters/Units Name, Marks
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| Sr.No. | Chapters/Unit Name | Weightage |
|---|---|---|
| Unit 1 | [Differential Calculus] Topics and Sub-topics:- 1. Functions and Limits A. Concept of function and simple examples B. Concept oflimits without examples 2. Derivatives: A. Rules of derivatives such as sum, product, quotient of functions. B. Derivative of composite functions (chain Rule), impLcit and parametric functions C. Derivatives of inverse, logarithmic and exponential functions. 3. Applications of derivative : A. Second order derivative without B. Equation of tangent and normal C. Maxima and minima D. Radius of curvature |
24 Marks |
| Unit 2 | [Integral Calculus] Topics and Sub-topics:- 1. Simple Integration: Rules of integration and integration of standard functions. 2.Methods of Integration: 2.1 Integration by substitution 2.2 Integration by parts 2.3 Integration by partial fractions |
16 Marks |
| Unit 3 | [Application of Definite Integration] Topics and Sub-topics:- 1. Definite Integration: 1. Simple examples 2. Properties of definite integral (without proof) and simple examples 2. Applications of integration 1. Area under the curve 2. Area between two curves. 3. Volume of revolution |
08 Marks |
| Unit 4 | [First Order First Degree Differential Equations] Topics and Sub-topics:- 1. Concept of differential equation 2. Order, degree and formation ot differential equation 3.Solution of differential equation 3.1 Variable separable form 3.2 Linear differential equation 4. Application of differential equations and related engineering problems |
08 Marks |
| Unit 5 | [Numerical Integration.] Topics and Sub-topics:- 1. Solutions of algebraic equations: 1.1 Bisection Method. 1.2 Regula falsi Method 1.3 Newton Raphson Method 2. Numerical solutions of simultaneous equations: 2.1 Gauss elimination method 2.2 Jacobis Method. 2.3 Gauss Seidal Method |
14 Marks |
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