Complex Variables - Mathematical Methods (Undergraduate Advanced)

Complex numbers, variables, functions and series in the complex plane.

Enrolment valid for 12 months
This course is also part of the following learning track. You may join the track to gain comprehensive knowledge across related courses.
CHE 305: Engineering Analysis I
CHE 305: Engineering Analysis I
Advanced engineering mathematics covering solid analytical geometry, integrals, scalar and vector fields, matrices and determinants and complex variables. Curated for third-year students of engineering at Obafemi Awolowo University, Ile-Ife, Nigeria. Students and professionals with similar learning goal will also find this learning track useful.

Advanced engineering mathematics covering solid analytical geometry, integrals, scalar and vector fields, matrices and determinants and complex variables. Curated for third-year students of engineering at Obafemi Awolowo University, Ile-Ife, Nigeria. Students and professionals with similar learning goal will also find this learning track useful.

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Course Chapters

1. Introduction
7
A review of complex numbers and the complex plane.
Concept Overviews
7 Lessons
2:21:57
2. Point Sets in the Complex Plane
8
Various terminologies for describing sets of points in the complex plane, and their meanings.
Concept Overviews
8 Lessons
15:20
3. Functions of Complex Variables
3
1
Introduction to functions of complex variables.
Concept Overviews
3 Lessons
Problem Walkthroughs
1 Lesson
4. Limits
3
4
Limits of functions of complex variables.
Concept Overviews
3 Lessons
Problem Walkthroughs
4 Lessons
5. Continuity
2
4
Continuity of functions of complex variables.
Concept Overviews
2 Lessons
Problem Walkthroughs
4 Lessons
6. Differentiability
1
2
Differentiability of functions of complex variables.
Concept Overviews
1 Lesson
Problem Walkthroughs
2 Lessons
7. Cauchy-Riemann Equations
Necessary and sufficient conditions for the existence of the derivatives of complex functions.