249 results for "complex".
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Question in Content created by Newcastle University
Poles, residues, and contour integral of a complex-valued function. Pair of real poles.
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Question in Content created by Newcastle University
Poles, residues, and contour integral of a complex-valued function. Single, simple pole.
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Question in Content created by Newcastle University
Contour integral of $z^2$ along any path.
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Question in Content created by Newcastle University
Contour integral of $\mathrm{e}^{-z}$ along any path.
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Question in Content created by Newcastle University
Contour integral of a complex-valued function $f(z)$ with the poles of $f(z)$ either inside or outside the path $C$.
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Question in Content created by Newcastle University
Modulus and argument of a single complex number, where $\mathrm{Re}(z)=\mathrm{Im}(z)$.
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Question in Content created by Newcastle University
Modulus and argument of a single complex number $z=z_1/z_2$, where $\mathrm{Re}(z_1)=\mathrm{Im}(z_1)$ and $\mathrm{Re}(z_2)=-\mathrm{Im}(z_2)$.
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Question in Content created by Newcastle University
Polar form of a complex number.
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Question in Content created by Newcastle University
Calculate the principal value of a complex number.
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Question in Content created by Newcastle University
Elementary examples of multiplication and addition of complex numbers. Four parts.
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Question in Content created by Newcastle University
Composite multiplication and division of complex numbers. Two parts.
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Question in Content created by Newcastle University
Direct calculation of low positive and negative powers of complex numbers. Calculations involving a complex conjugate. Powers of $i$. Four parts.
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Question in Content created by Newcastle University
Find modulus and argument of two complex numbers. Then use De Moivre's Theorem to find negative powers of the complex numbers.
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Question in Content created by Newcastle University
Given two complex numbers, find by inspection the one that is a root of a given quartic real polynomial and hence find the other roots.
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Question in Content created by Newcastle University
Finding the distance between two complex numbers using the modulus of their difference. Three parts.
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Question in Content created by Newcastle University
Finding the modulus of four complex numbers; includes finding the modulus of a product, a power and a quotient.
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Exam (13 questions) in Content created by Newcastle University
Questions about complex arithmetic; argument and modulus of complex numbers; complex roots of polynomials; de Moivre's theorem.
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Exam (17 questions) in Content created by Newcastle UniversityQuestions used in a university course titled "Complex variables"
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Question in Transition to university
Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.
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Question in Transition to university
Several problems involving dividing fractions, with increasingly difficult examples, including mixed numbers and complex fractions.
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Question in NC PreCalculus
No description given
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Question in JPO's workspace
Using a given list of four complex numbers, find by inspection the one that is a root of a given cubic real polynomial and hence find the other roots.
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Question in Paula's workspace
Inverse and division of complex numbers. Four parts.
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Question in Trignometry
More difficult trigonometric equations with radians
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Question in Trignometry
More difficult trigonometric equations with degrees
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Question in College Algebra for STEM
Using a given list of four complex numbers, find by inspection the one that is a root of a given cubic real polynomial and hence find the other roots.
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Question in Trignometry
Polar form of a complex number.
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Question in MY QUESTIONS
Calculating the square root of a complex number using De Moivre.
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Question in MY QUESTIONS
Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.
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Question in MY QUESTIONS
This question provides practice at adding, subtracting, dividing and multiplying complex numbers in rectangular form.