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Kavayitri Bahinabai Chaudhari North Maharashtra University, Maharashtra, Civil Engineering Semester 1, Mathematics - I Syllabus

Mathematics - I Lecture notes | Videos | Free pdf Download | Previous years solved question papers | MCQs | Question Banks| Syllabus

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.