Analysis IV
Summary
The course studies the fundamental concepts of complex analysis and Laplace analysis with a view to their use to solve multidisciplinary scientific engineering problems.
Content
Complex analysis
- Definitions and examples of complex functions.
- Holomorphic functions.
- Cauchy-Riemann equations.
- Complex integrals and Cauchy formulas.
- Laurent series.
- Residue theorem.
Laplace analysis
- Laplace transforms.
- Applications to ordinary differential equations.
- Applications to partial differential equations.
Learning Prerequisites
Required courses
Linear algebra, Analysis I, Analysis II, Analysis III
Assessment methods
Written exam
In the programs
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Analysis IV
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: mandatory
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Analysis IV
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Analysis IV
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Analysis IV
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: mandatory
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Analysis IV
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: mandatory
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Analysis IV
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional