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Kavayitri Bahinabai Chaudhari North Maharashtra University, Maharashtra
Mechanical Engineering
Mathematics - I
Kavayitri Bahinabai Chaudhari North Maharashtra University, Maharashtra, Mechanical Engineering Semester 1, Mathematics - I Syllabus
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Syllabus
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Unit - 1 Matrices
Unit 1
Matrices
1.1 Introduction to the rank of a matrix
1.2 System of linear equations
1.3 Symmetric and orthogonal matrices
1.4 Eigenvalues and Eigenvectors Diagonalization of matrices
Unit - 2 Differential and Integral Calculus
Unit 2
Differential and Integral Calculus
2.1 Rolle’s Theorem
2.2 Mean value theorem
2.3 Taylor’s and Maclaurin’s theorem
2.4 Gamma function Beta function
Unit - 3 Partial Differentiation
Unit 3
Partial Differentiation
3.1 Partial derivatives
3.2 Eulers theorem
3.3 Composite function
3.4 Method of Lagrange’s multipliers.
Unit - 4 Fourier series & Vector Calculus
Unit 4
Fourier series and Vector Calculus
4.1 Fourier forces Full range Fourier series Half range sine and cosine series.
4.2 Vector Calculus Gradient Curl Divergence Directional Derivatives
Unit - 5 Complex Number
Unit 5
Complex Number
5.1 Circular functions
5.2 Hyperbolic and Inverse Hyperbolic functions
5.3 Logarithms of a complex number
5.4 Resolving real and imaginary parts of a complex number.
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Other Subjects of Semester-1
English
Chemistry
Engineering graphics
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