All Materials regarding to B.tech R-20 in Electrical and Electronics Engineering and Common 1st Year 1st Semester Mathematics 1 with unit wise available.
👇👇Scroll Down for Important Questions and Topics Unit Wise 👇👇
| Common 1-1 Mathematics 1 | ||
|---|---|---|
| Chapters / Units | Download Link | |
| 1 | Unit 1 | Download |
| 2 | Unit 2 | Download |
| 3 | Unit 3 | Download |
| 4 | Unit 4 | Download |
| 5 | Unit 5 | Download |
Common 1-1 Mathematics 1 important Topics and Questions
UNIT – I:
👉 Sequences, Series and Mean value theorems: (10hrs)
Sequences and Series: Convergences and divergence – Ratio test – Comparison tests – Integral test
– Cauchy’s root test – Alternate series– Leibnitz’s rule.
Mean Value Theorems (without proofs): Rolle’s Theorem – Lagrange’s mean value theorem –
Cauchy’s mean value theorem – Taylor’s and Maclaurin’s theorems with remainders, Problems and
applications on the above theorem.
UNIT – II:
👉 Differential equations of first order and first degree: (10hrs)
Linear differential equations– Bernoulli’s equations –Exact equations and equations reducible to
exact form.
Applications: Newton’s Law of cooling– Law of natural growth and decay– Orthogonal
trajectories– Electrical circuits.
UNIT – III:
👉 Linear differential equations of higher order: (10hrs)
Homogeneous and Non-homogeneous differential equations of higher order with constant
coefficients – with non-homogeneous term of the type eax, sin ax, cos ax, polynomials in xn
, eaxV(x)
and xn
V(x) – Method of Variation of parameters, Cauchy and Legendre’s linear equations.
Applications: LCR circuit, Simple Harmonic motion.
UNIT – IV:
👉 Partial differentiation: (10hrs)
Introduction – Homogeneous function – Euler’s theorem– Total derivative– Chain rule– Jacobian –
Functional dependence –Taylor’s and MacLaurin’s series expansion of functions of two variables.
Applications: Maxima and Minima of functions of two variables without constraints and Lagrange’s
method.
UNIT – V:
👉 M
integrals: (8 hrs)
Double and Triple integrals – Change of order of integration in double integrals – Change of
variables to polar, cylindrical and spherical coordinates.
Applications: Finding Areas and Volumes.
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