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Engineering Mathematics
Specific References
Engineering Mathematics
Corresponding Marathi & Hindi Meanings for each difficult English words.
Book Id: 1452
Author: Anantmali S. Patil, Dr. Prakash M.Patil, Rekha V. Gujar, Shubhangi R. Kanbarkar
Contents
1. Complex Number
1. Introduction
Definition of Complex Number
Polar form of a Complex Number
Polar Form of z = x + iy for Different Values of x and y
2. Algebra of Complex Number
Addition
Subtraction
Scalar Multiplication
Multiplication
Conjugate of Complex Number
Division
Solved Examples
3. De'moivre's Theorem
Powers of Complex Number
The Roots of a Complex Number
nth Roots of Unity
Solved Examples
4. Euler's Theorem
Euler's Theorem for Real or Complex
Hyperbolic Functions
Solved Examples
2. Function
1. Definition of Function
1.1 Domain, Co-domain and Range
2. Types of Functions
Solved Examples
3. Intervals
Solved Examples
3. Limits
1. Definition of Limit
2. Properties of Limits
Standard Results
Limits of Algebraic Functions
By Direct Substitution
Limits of Exponential Functions
Limits of Logarithmic Functions
Limits of Trigonometric Functions
4. Derivatives
1. Concept of Derivatives
Definition
Notation
2. Derivative of Standard Functions by I Principle
Solved Examples
3. Laws of Differentiation
Solved Examples
4. Derivative of Composite Functions or Chain Rule
Solved Examples
5. Derivatives of Inverse and Inverse Trigonometric Functions
Derivative of Inverse Trigonometric Functions
Some Properties of Inverse Trigonometric Functions
Relation between Inverse and Circular Functions
Solved Examples
6. Derivative of Implicit Function
Methods to Differentiate Implicit Function
Solved Examples
7. Logarithmic Differentiation
Solved Examples
8. Derivative of Parametric Functions
Solved Examples
9. Derivative of one Function with Respect to Another Function
Solved Examples
10. Second Order Differentiation
Solved Examples
5. Numerical Solution of Algebraic Equation
1. Introduction
Algebraic Equation
Method of Iteration2
Working Rule
2. Bisection Method
Solved Examples
3. Method of False Position or (Regula- Falsi Method)
Solved Examples
4. Newton-Raphson Method
Solved Examples
6. Numerical Solution of Simultaneous Equation
1. Introduction
2. Elimination Method
Gauss Elimination Method
Solved Examples
Gauss-Seidal Method (Iterative Method)
Solved Examples
Jacobi's Method (Iterative Method)
Working Rule
Solved Examples
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