Courselo

Home
Learn
Practice(sign in to use)
Mock exams
Review(sign in to use)

Plan(sign in to use)
Progress(sign in to use)
Tutor(sign in to use)

Your plan

Save your progressA free account keeps your answers, predicts your score and builds a daily plan.Create a free account

Loading lesson

Loading your exam home

Home
Learn
Practice, sign in to use
Mocks
Review, sign in to use

Loading lesson

Complex variables · GRE Mathematics Subject Test · Courselo

Courselo

GRE Math
Learn
Complex variables, probability and statistics, geometry and numerical analysis

Complex variables

Complex variables, probability and statistics, geometry and numerical analysis · Lesson 1 of 4

Lesson 1 of 4

Ask a tutor

Unit 9

Complex variables, probability and statistics, geometry and numerical analysis

4 lessons · 4 h 15 min of study

Complex variablesReading · 0%
Probability and statistics1 h 15 min of study
Euclidean and analytic geometry45 min of study
Numerical analysis45 min of study

This unit is ≈8% of the GRE Math, across 4 lessons. Full syllabus

Lesson 1 of 4 · Complex variables, probability and statistics, geometry and numerical analysis

Complex variables

3 quick checks≈3% of the testStretch: Stretch: harder material that separates the top grades

Reading is free. Sign in to tick off lessons, keep your place and track your mastery.

By the end you’ll be able to

Compute with complex numbers in Cartesian, polar and exponential form, apply de Moivre’s theorem and find nth roots of unity
Evaluate complex exponentials, logarithms (principal branch) and complex powers
Test analyticity with the Cauchy–Riemann equations and find harmonic conjugates

Practice this skill

Adaptive questions on complex variables.

Practise this topic

0% read

Evaluate contour integrals with Cauchy’s theorem, Cauchy’s integral formula and the residue theorem, including real integrals by residues

Apply Liouville’s theorem, the maximum modulus principle, Laurent series and the classification of isolated singularities

This lesson hasn’t been written yet

GRE Math lessons are written from the official syllabus the first time a learner opens them, then saved for everyone. Sign in and this one is written for you in a minute or two. It’s free.

PreviousGraph theory and algorithms Next lessonProbability and statistics