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.
Chapter 1
Introduction to Limit
Chapter 2
Introduction to Continuity
Chapter 3
Chapter 4
Chapter 5
Chapter 6
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 7
Chapter 8
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 9
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
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