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.
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
Introduction to Continuity
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
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
MA-ENGINEERING MATHEMATICS-CHAPTER-9: DIFFERENTIAL EQUATION-PART-1
MA-Engineering mathematics - Power Series
MA-Engineering mathematics - Complex Analysis
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
Numerical Analysis-Root of Equation-Engineering Mathematics
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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