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Bihar Engineering University, Bihar, Computer Engineering Semester 1, Mathematics –I (Calculus & Linear Algebra) Syllabus
Mathematics –I (Calculus & Linear Algebra) Lecture notes | Videos | Free pdf Download | Previous years solved question papers | MCQs | Question Banks| Syllabus
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Unit - 1 Calculus
UNIT– 1
Calculus
1.1 Evolutes and involutes
1.2 Evaluation of definite and improper integrals
1.3 Beta and gamma functions and their properties
1.4 Applications of definite integrals to evaluate surface areas and volumes of revolutions
Unit - 2 Calculus
Unit– 2
Calculus
2.2 Mean value theorem
2.3 Taylor’s and Maclaurin theorems with remainders
2.5 Maxima and minima
Unit– 2
Calculus
2.2 Mean value theorem
2.3 Taylor’s and Maclaurin theorems with remainders
2.5 Maxima and minima
Unit - 3 Sequences and series
Unit 3
Sequences Series
3.1 Convergence of sequence and series
3.2 Test for convergence Power series
3.3 Taylor’s series
3.4 Series for exponential
3.5 Trigonometric and logarithm functions
3.6 Fourier series Half range and cosine series
3.7 Parseval’s theorem
Unit - 4 Multivariable Calculus (Differentiation)
Unit – 4
Multivariable Calculus Differentiation
4.1 Limit
4.2 Continuity and partial derivatives
4.3 Directional derivatives
4.4 Total derivatives
4.5 Tangent plane and normal line
4.6 Maxima minima and saddle points
4.7 Method of Lagrange multipliers
4.8 Gradient Curl and divergence
Unit - 5 Matrices
UNIT – 5
Matrices
5.1 Inverse and rank of a matrix
5.2 RankNullity theorem
5.3 System of linear equations
5.4 Symmetric skewsymmetric and orthogonal matrices
5.5 Determinants
5.6 Eigen values and Eigen vectors
5.7 Diagonalization of matrices
5.8 CayleyHamiltonn theorem
5.9 Orthogonal transformation
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