Complex Analysis Quiz

What is the set of all values of a function called?

• Derivative

• Range

• Domain

• Limit

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Which equation is satisfied by both the real and imaginary parts of an analytic function?

• Harmonic equation

• Cauchy-Riemann equation

• Derivative equation

• Laplace's equation

What is the condition for a function to be continuous at a point in complex analysis?

• All of the above

• The function must be defined at the point

• The function must have a limiting value at the point

• The limit of the function must exist at the point

What is the theorem that states the indefinite integration of analytic functions in a simply connected domain?

• Cauchy's Integral Theorem

• Cauchy's Integral Formula

• Fundamental Theorem of Calculus

• Integration by the Use of the Path

Which theorem states that an integral of a function is independent of the path in a simple connected domain?

• Independence of Path Theorem

• Cauchy's Integral Theorem

• Fundamental Theorem of Calculus

• Extension of the Cauchy's Integral Theorem