Gondwana University, Maharashtra, Computer Engineering Semester 1, Applied Mathematics - I Syllabus

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Unit - 1 Differential Calculus

1.1 Successive differentiation

1.2 Leibnitz‟s theorem

1.3 Taylor‟s and Maclaurin‟s theorem

1.4 Indeterminate forms

Unit - 2 Partial Differentiation I

2.1 Partial Derivative

2.2 Euler’s theorem on homogeneous functions

2.3 Transformation of independent variables Chain rule

Unit - 3 Partial Differentiation II

3.1 Jacobin’s

3.2 Taylor’s and Maclaurin’s series for functions of two variables

3.3 Maxima and Minima of functions of two variables

3.4 Lagrange‟s method of undetermined multipliers

Unit - 4 Integral Calculus

4.1 Beta and Gamma functions

4.2 R.M.S value

4.3 Differentiation of definite integrals

4.4 Leibnitz’s Rule

4.5 Tracing of Curves Cartesian Standard Parametric and Polar Curves

Unit - 5 Statistics

5.1 Fitting of straight line

5.2 Second degree parabola

5.3 Exponential curve by the method of Least Squares

5.4 Coefficient of linear correlation

5.5 Regression lines

5.6 Rank correlation

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Other Subjects of Semester-1
Applied physics
Applied chemistry
Communication skills
Engineering graphics
Engineering mechanics
Basic electrical engineering
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