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: ME
- 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 Series in Two Variables
- Maclaurin's Series in Two Variables
- Maxima and Minima of Functions of Two Variables
- Lagrange's Multipliers
- Definite Integrals
- Differentiation Under the Integral Sign
- Gamma Function
- Beta Function
- Error Functions
- Double Integrals
- 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