# Engineering Mathematics

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.

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Welcome to the division of Engineering mathematics. It is the backbone of all engineering exams like GATE/IES/ISRO/BARC/IITJEE etc. Many short cut tricks have been demonstrated 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 stay updated, check your target exam syllabus.

Any suggestions and feedback of yours regarding Engineering mathematics are important to us. Hope you will enjoy the session.

GATEFLIX videos are designed to help you crack the mentioned exams. Once you watch the concept video on the home page. You will understand the purpose of GATEflix and how to make maximum use of these videos.

GATEFLIX – A GATE way to affordable education is actually created for dedicated students who wish to study but are not able to do so due to lack of good teachers, or financial issues or good content. These videos can be bought at just cost of pizza and you can enjoy them as many times as you want. You can also participate in doubt sessions and practice question sessions later when they are scheduled.

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Chapter 1

### MA-ENGINEERING MATHEMATICS-CHAPTER-1: LIMIT

Introduction to Limit

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

Syllabus covered in these videos: Engineering Mathematics Chapter 1: Limit

Chapter 2

### MA-ENGINEERING MATHEMATICS-CHAPTER-2: CONTINUITY

Introduction to Continuity

Chapter 3

### MA-ENGINEERING MATHEMATICS-CHAPTER-3: DIFFERENTIABILITY

Introduction to differentiability

2 videos

A) Introduction to differentiability B) Differentiability of modulus function

Chapter 4

### MA-ENGINEERING MATHEMATICS-CHAPTER-4: PROPERTIES OF FUNCTION

1 videos

A) Monotone function B) Increasing and decreasing function C) Concave upward and downward D) Point of inflection

Chapter 5

### MA-ENGINEERING MATHEMATICS-CHAPTER-5: MAXIMA & MINIMA

Local maxiMaxima & local minima

2 videos

A) Local Maxima & local Minima B) Absolute maximum and absolute minimum C) Maximum & minimum value of a function in the given interval D) GATE Questions

Chapter 6

### MA-ENGINEERING MATHEMATICS-CHAPTER-6: MIN VALUE THEOREM

Intermediate MVT

2 videos

A) Intermediate MVT B) The integral form of intermediate MVT C) Rolle's MVT D) Lagranges MVT E) Integral form of Lagranges MVT F) Cauchy's MVT G) Various exam questions

Chapter 7

1 videos

Chapter 8

### MA-ENGINEERING MATHEMATICS-CHAPTER-8: LINEAR ALGEBRA

• 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

A) Linear Transformation B) Introduction to matrices

MA-ENGINEERING MATHEMATICS-CHAPTER-7: LINEAR ALGEBRA-PART-3

MA-ENGINEERING MATHEMATICS-CHAPTER-7: LINEAR ALGEBRA-PART-4

MA-ENGINEERING MATHEMATICS-CHAPTER-7: LINEAR ALGEBRA-PART-5

Number of linearly independent Eigen Vectors, Diagonalization of matrix, Some important properties of special matrices

Chapter 9

### MA-ENGINEERING MATHEMATICS-CHAPTER-9: PROBABILITY DISTRIBUTION

Discrete probability distribution

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

MA-ENGINEERING MATHEMATICS-CHAPTER-10: STATISTICS

1 videos

Chapter 11

### MA-ENGINEERING MATHEMATICS-CHAPTER-11: DIFFERENTIAL EQUATION

Introduction to Differential equation

4 videos

MA-ENGINEERING MATHEMATICS-CHAPTER-9: DIFFERENTIAL EQUATION-PART-1

MA-ENGINEERING MATHEMATICS-CHAPTER-9: DIFFERENTIAL EQUATION-PART-2

MA-ENGINEERING MATHEMATICS-CHAPTER-9: DIFFERENTIAL EQUATION-PART-3

Chapter 12

### MA-ENGINEERING MATHEMATICS-CHAPTER-12: NUMERICAL METHODS

12.1 Numerical Integration

12.2 Numerical Differentiation

12.3 Roots of Equation

3 videos

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

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 Analysis-Root of Equation-Engineering Mathematics

Chapter 13

### MA-ENGINEERING MATHEMATICS-CHAPTER-13: COMPLEX ANALYSIS

• 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

6 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

### MA-ENGINEERING MATHEMATICS-CHAPTER-14: VECTOR ANALYSIS

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

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

MA-ENGINEERING MATHEMATICS - VECTOR ANALYSIS - Part 4

Chapter 15

### MA-ENGINEERING MATHEMATICS-CHAPTER-15: Laplace Transform

MA-ENGINEERING MATHEMATICS-CHAPTER-15: Laplace Transform

1 videos

MA-Engineering mathematics - Laplace Transform

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