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Adikavi Nannaya University, Andhra Pradesh
Civil Engineering
MATHEMATICS I
Adikavi Nannaya University, Andhra Pradesh, Civil Engineering Semester 1, MATHEMATICS I Syllabus
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Unit - 1 Differential Equations of first order and first degree
Unit–1
Differential equation of first order and first degree
1.1. Linear and Bernoulli’s equation
1.2. Exact Differential equations Reducible to exact
1.3. Orthogonal trajectories
1.4. Applications Newton’s law of cooling Law of natural growth and decay
Unit–1
Differential equation of first order and first degree
1.1. Linear and Bernoulli’s equation
1.2. Exact Differential equations Reducible to exact
1.3. Orthogonal trajectories
1.4. Applications Newton’s law of cooling Law of natural growth and decay
Unit - 2 Linear Differential Equations of Higher Order
UNIT–2
Linear differential equations of higher order
2.3. Method of variation of parameters Legendre’s equation CauchyEuler equation.
UNIT–2
Linear differential equations of higher order
2.3. Method of variation of parameters Legendre’s equation CauchyEuler equation.
Unit - 3 Partial Differentiation
UNIT–3
Partial Differentiation
3.1. Introduction Partial differentiation
3.2. Homogeneous function
3.3. Euler’s theorem
3.4. Total derivative
3.5. Chain rule
3.6. Jacobian
3.7. Taylor’s and Maclaurin’s series expansion of function of two variables
3.8. Functional dependence independence
3.9. Applications Maxima and minima of function of two variables without constraints and Lagrange’s method with constraints
Unit - 4 Differential Calculus
UNIT–4
Differential Calculus
4.1. Mean value theorem Rolle’s theorem Lagrange’s mean value theorem
4.2. Taylor’s and Maclaurin’s theorem with reminders
4.3. Indeterminate forms L’Hospital’s rule
4.4. Maxima and minima
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Other Subjects of Semester-1
Physics
English - 1
Mathematics i
Engineering graphics
Environmental science
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