22201 [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. An introduction to numerical integration 1. Trapezoidal rule. 2. Simpsons 1/3 rule 3. Simpsons 3/8 rule. |
14 Marks |
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