A brief tour of complex variables
Course description
In this course, we present some results involving complex variables, such as the concept of analytic function and Laurent series, Cauchy's integral theorem, to immediately introduce the so-called Cauchy integral formula.
Finally, we will enunciate and prove the residues theorem as well as Jordan's lemma.
Objectives
- Understand the fundamental concepts of complex variables.
- Apply theoretical methods and results in solving practical problems.
- Develop the ability to interpret, manipulate, and utilize complex numbers in contexts within the field of exact sciences.
Study units
- Analytic Functions and Laurent Series
- Cauchy's Theorem and Residue Theorem
Dedication
- Theoretical study (70%)
- Activity (30%)
Student commitment
- Access
- Study
- Perform the activity
Background Colour
Font Face
Font Kerning
Font Size
Image Visibility
Letter Spacing
Line Height
Link Highlight
Paragraph Width
Text Alignment
Text Colour