Mathematics-III Syllabus — Government College of Engineering and Tech…
Full syllabus, topics and curated resources for Mathematics-III (Government College of Engineering and Technology, Jammu).
Theory of complex variables and numerical methods including complex analysis, interpolation, numerical integration, root finding and numerical solution of differential equations.
- Subject code: BST8403
- University: Government College of Engineering and Technology, Jammu
- Course: BE (2022 onwards)
- Branch: Civil
- Semester: 4
Mathematics-III syllabus
Unit 1: Theory of Complex Variables
- Limits and Continuity
- Complex Differentiation
- Cauchy-Riemann Equations
- Analytic and Harmonic Functions
- Conformal Mappings
- Mobius Transformations
Unit 2: Complex Integration and Residues
- Line Integrals
- Cauchy's Theorem
- Cauchy Integral Formula
- Liouville's Theorem
- Taylor's Series
- Zeros of Analytic Functions
- Singularities
- Laurent's Series
- Residues
- Cauchy Residue Theorem
- Contour Integration
Unit 3: Interpolation and Numerical Integration
- Finite Differences
- Divided Differences
- Newton's Interpolation Formula
- Lagrange's Interpolation Formula
- Trapezoidal Rule
- Simpson's 1/3 Rule