ENGINEERING MATHEMATICS-I Syllabus — Government College of Engineerin…
Full syllabus, topics and curated resources for ENGINEERING MATHEMATICS-I (Government College of Engineering and Technology, Jammu).
Differential and integral calculus, complex trigonometry, and matrices.
- Subject code: BMAT11
- University: Government College of Engineering and Technology, Jammu
- Course: B.Tech (2025 onwards)
- Branch: Civil
- Semester: 1
ENGINEERING MATHEMATICS-I syllabus
Unit 1: DIFFERENTIAL AND INTEGRAL CALCULUS
- Partial differentiation
- Euler's theorem on homogeneous functions
- Rolle's theorem
- Mean value theorem
- Taylor's and Maclaurin's series in two variables
- Maxima and Minima of functions of two variables
- Method of Lagrange's multipliers
- Definite integrals with important properties
- Differentiation under the integral sign
- Gamma, Beta and error functions
- Double and triple integrals
Unit 2: COMPLEX TRIGONOMETRY AND MATRICES
- Hyperbolic functions of a complex variable
- Inverse Hyperbolic functions
- Logarithmic function of a complex variable
- Summation of series by C+iS method
- Rank of a matrix
- Elementary transformations
- Elementary matrices
- Inverse using elementary transformations
- Normal form of a matrix
- Eigen values and Eigen vectors
- Properties of Eigen values
- Cayley Hamilton Theorem
- Inverse using Cayley Hamilton Theorem
- Diagonalization of matrix