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Welcome to the era of Engineering mathematics. It is the backbone of all engineering exams like GATE/IES/ISRO/BARC/IITJEE etc. I have taken care of so many short tricks so that a student can save his time during exams.

Maximum question in Engineering Mathematics are asked from the topics Linear Algebra, Calculus and probability distribution. Different examinations and their stream have different syllabus. To be tuned, check your target exam syllabus.

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Chapter 1

- Introduction to Limit
- Indeterminate forms
- Methods to Solve Limit
- Factoring Method
- Rationalisation method
- Expansion method
- L-Hospital Rule
- Failure of L-Hospital Rule
- Approximation method
- Limit involving modulus function
- Limit involving Riemann integration
- Limit involving greatest integer function
- Various exams questions and practice questions

3 videos

Engineering Mathematics Chapter 1: Limit A) Introduction to Limit B) Indeterminate forms C) Methods to Solve Limit D) Factoring Method E) Rationalisation method F) Expansion method G) L-Hospital Rule H) Failure of L-Hospital Rule I) Approximation method

Chapter 2

- Introduction to Continuity
- Types of Continuity
- Types of Discontinuity
- Continuity in an interval [a,b]
- Continuity of P(X)/Q(X)
- Continuity of modulus function
- Various exam Questions and practice question

Chapter 3

- Introduction to differentiability
- Differentiability of modulus function
- Various exam questions

Chapter 4

- Monotone function
- Increasing and decreasing function
- Concave upward and downward
- Point of inflection

Chapter 5

- Local maxiMaxima & local minima
- Absolute maximum and absolute minimum
- Maximum & minimum value of a function in the given interval

Chapter 6

- Intermediate MVT
- Integral form of intermediate MVT
- Rolle's MVT
- Lagranges MVT
- Integral form of Lagranges MVT
- Cauchy's MVT
- Various exam questions

Chapter 7

MA-ENGINEERING MATHEMATICS-CHAPTER-7: Integration

Chapter 8

- Linear Transformation
- Introduction to matrices
- Rank & Nullity
- System of Linear equations
- Eigen values & Eigen Vectors
- Number of linearly independent Eigen Vectors
- Diagonalization of matrix
- Some important properties of special matrices
- Gate questions

8 videos

Chapter 9

- Discrete probability distribution
- Binomial distribution
- Poisson distribution
- Continuous probability distribution
- Uniform distribution
- Exponential distribution
- Normal DiaDistribution
- Mean, Median and mode of probability diadistribution
- Expectation, second moment, variance and standard deviation
- Cumulative Distribution
- Joint probability distribution
- Gate questions

2 videos

A) Discrete probability distribution B) Binomial distribution C) Poisson distribution D) Continuous probability distribution E) Uniform distribution F) Exponential distribution G) Normal DiaDistribution H) Mean, Median and mode of probability diadistribution I) Expectation, second moment, variance and standard deviation J) Cumulative Distribution K) Joint probability distribution L) Gate questions

A) Discrete probability distribution B) Binomial distribution C) Poisson distribution D) Continuous probability distribution E) Uniform distribution F) Exponential distribution G) Normal DiaDistribution H) Mean, Median and mode of probability diadistribution I) Expectation, second moment, variance and standard deviation J) Cumulative Distribution K) Joint probability distribution L) Gate questions

Chapter 10

MA-ENGINEERING MATHEMATICS-CHAPTER-10: STATISTICS

Chapter 11

- Introduction to Differential equation
- Order and degree of Differential equation
- Ordinary and partial differential equation
- Linear and nonlinear differential equations
- Homogeneous and nonhomogeneous differential equations
- Methods to solve first order first degree differential equations
- VaruaVariable seperable method
- Leibnitz differential equations
- Bernaullis differential equations
- Differential equations with homogeneous function
- Differential equation dy/dx=f(ax+by+c)
- Higher order differential equations with constant coefficients
- Higher order differential equations with variable coefficients
- Partial differential equations
- Gate questions

Chapter 12

- Numerical integration(Trapezoidal method, simpson 1/3rd and Simpson 3/8th method, maximum errors and order of error)
- Numerical Differentiation (Forward Euler's and Backward Euler's method, modified Euler's method, Runge Kutta methods, stability analysis of dy/dx = ky + c, Comparison with numerical integration schemes)
- Roots of equations (Bisection method, Newton -Raphson method, modified Newton raphson method, Newton-Raphson method with two variables, secant method, regula falsi method, rate of convergence)
- Gate questions

3 videos

Numerical Differentiation Forward Euler's method Backward Euler's method Modified Euler's method, Runge Kutta methods Stability analysis of dy/dx = ky + c, Comparison with numerical integration schemes

Numerical integration Trapezoidal method Simpson 1/3rd method Simpson 3/8th method maximum errors and order of error

Chapter 13

- Introduction to complex numbers
- Limit, continuity and differentiability
- Analytic functions
- Entire function
- Complex differentiation
- Zeros & Singularity: Poles, essential singularity, Harmonic singularity
- Residues at poles and essential singularity
- Complex integration- Open path closed path
- Gate questions

4 videos

A) Introduction to complex numbers B) Limit, Continuity and Differentiability C) Analytic functions D) Entire function E) Complex differentiation F) Zeros & Singularity: Poles, essential singularity, Harmonic singularity G) Residues at poles and essential singularity H) Complex integration- Open path closed path I) Gate questions

A) Introduction to complex numbers B) Limit, continuity and differentiability C) Analytic functions D) Entire function E) Complex differentiation F) Zeros & Singularity: Poles, essential singularity, Harmonic singularity G) Residues at poles and essential singularity H) Complex integration- Open path closed path I) Gate questions

A) Introduction to complex numbers B) Limit, continuity and differentiability C) Analytic functions D) Entire function E) Complex differentiation F) Zeros & Singularity: Poles, essential singularity, Harmonic singularity G) Residues at poles and essential singularity H) Complex integration- Open path closed path I) Gate questions

Chapter 14

Basics of vector

Vector differentiation - Gradient, Directional derivative, Normal, Divergence, Curl

Vector integration- open path line integration, closed path line integration, surface integration, Stokes theorem, Greens theorem, Gauss's divergence theorem

Gate questions

4 videos

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