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Chhattisgarh Swami Vivekanand Technical University, Electrical & Electronics Engineering Semester 1, Mathematics - I Syllabus
Mathematics - I Lecture notes | Videos | Free pdf Download | Previous years solved question papers | MCQs | Question Banks| Syllabus
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Unit - 1 Calculus
UNIT1
1.1Evaluation of definite and improper integrals.
1.2 Reduction formulae.
1.3 Beta and Gamma functions and their properties.
1.4 Applications of definite integrals to evaluate surface areas and volume of revolutions.
Unit - 2 Calculus
UNIT 2 CALCULUS
2.1 Rolle’s theorem and Mean value theorems
2.2 Taylor’s and Maclaurin theorems with reminders and indeterminate forms.
2.3 L’Hospital’s Rule
2.4 Maxima and Minima
Unit - 3 Sequences and series
Unit3 SEQUENCES AND SERIES
3.1 Convergence of sequences and series.
3.2 Tests for convergence Power series Taylor series and series of exponential logarithmic and trigonometric functions.
3.3 Fourier series Half range sine and cosine series.
3.4 Parseval’s theorem.
Unit - 4 Multivariable Calculus (Differentiation)
UNIT4
Multivariable CalculusDifferentiation
4.1 Limits and Continuity.
4.2 Partial Derivatives Total Derivatives.
4.3 Tangent Plane and Normal Line.
4.4 Maxima Minima and Saddle Points.
4.5 Method of Lagrange Multipliers.
4.6 Gradient Curl and Divergence of directional derivatives.
Unit - 5 Matrices
UNIT5
Matrices
5.1 Rank of a matrix by elementary transformation and its normal form.
5.2 System of linear equations.
5.3 Symmetric skew symmetric and orthogonal matrices.
5.4 Eigen values and eigen vectors.
5.5 Diagonalization of matrices.
5.6 CayleyHamilton theorem and orthogonal transformation.
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