This course introduces the fundamental concepts of complex analysis. It covers complex numbers, their properties, and mathematical operations. Students will learn about polar forms, De Moivre's theorem, and applications. The course also explores limits, continuity, and differentiation of complex functions, leading to an understanding of analytic functions and Cauchy-Riemann equations. The course aims to equip students with the introductory studies of the basics of complex analysis.
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Everything you need to know about this course
Key areas covered in this course
Knowledge and skills recommended for success
MTH110: Elementary Mathematics
MTH121: Calculus
💡 Don't have all requirements? Don't worry! Many students successfully complete this course with basic preparation and dedication.
How your progress will be evaluated (3 methods)
Comprehensive evaluation of course material understanding
Comprehensive evaluation of course material understanding
Comprehensive evaluation of course material understanding
Explore the career paths this course opens up for you
Apply your skills in this growing field
Apply your skills in this growing field
Apply your skills in this growing field
Apply your skills in this growing field
Apply your skills in this growing field
Real-world sectors where you can apply your knowledge
Expert tips to help you succeed in this course
Review all module contents, focusing on key definitions and theorems.
Practice solving problems from the self-assessment exercises and TMAs.
Create concept maps linking complex number operations, polar forms, and De Moivre's theorem.
Master the application of Cauchy-Riemann equations to test for analyticity.
Practice calculating limits and derivatives of complex functions.
Focus on understanding branch points and branch cuts in multi-valued functions.
Allocate sufficient time for revision and practice in the weeks leading up to the exam.