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.
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Chapter 1
Introduction to Limit
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
Chapter 3
Introduction to differentiability
Chapter 4
Chapter 5
Local maxiMaxima & local minima
Chapter 6
Intermediate MVT
Chapter 8
Chapter 9
Discrete probability distribution
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
Chapter 12
12.1 Numerical Integration
12.2 Numerical Differentiation
12.3 Roots of Equation
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
Chapter 13
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
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