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).
Study of differential calculus, integral calculus, complex trigonometry, and matrices with applications to engineering mathematics.
- Subject code: BST1101
- University: Government College of Engineering and Technology, Jammu
- Course: BE (2022 onwards)
- Branch: ME
- Semester: 1
ENGINEERING MATHEMATICS-I syllabus
Unit 1: DIFFERENTIAL CALCULUS
- Partial differentiation
- Euler's theorem on homogeneous functions
- Rolle's theorem
- Mean value theorem
- Taylor's and Maclaurin's series with remainder
- Taylor's series in two variables
- Maxima and Minima of functions of two variables
- Method of Lagrange's multipliers
Unit 2: INTEGRAL CALCULUS
- Definite integrals with important properties
- differentiation under the integral sign
- Gamma function
- Beta function
- Error functions
- Double integrals
- Triple integrals
Unit 3: COMPLEX TRIGONOMETRY
- Hyperbolic functions of a complex variable
- Inverse Hyperbolic functions
- Logarithmic function of a complex variable
- Summation of series by C+iS method