207 results for "complex".

Question in Shaheen's workspace
Find modulus and argument of two complex numbers.
Then use De Moivre's Theorem to find powers of the complex numbers.

Exam (5 questions) in Shaheen's workspace
AEP Y1  Engineering Mathematics Assessment 1(i)
Note that part(i) counts 20% towards the final Y1 Engineering Mathematics module grade.

Exam (5 questions) in Shaheen's workspace
AEP Y1  Engineering Mathematics Assessment 1(i)
Note that part(i) counts 20% towards the final Y1 Engineering Mathematics module grade.

Exam (5 questions) in Shaheen's workspace
AEP Y1  Engineering Mathematics Assessment 1(i)
Note that part(i) counts 20% towards the final Y1 Engineering Mathematics module grade.

Question in Complex numbers
Practice to decide which quadrant a complex number lies in.

Question in Complex numbers
Practice to decide which quadrant a complex number lies in.

Exam (5 questions) in Shaheen's workspace
You are allowed 38 minutes to complete this test.
You may use rough paper for your calculations.

Exam (5 questions) in Shaheen's workspace
You are allowed 31 minutes to complete this test.
You may use rough paper for your calculations.

Question in Shaheen's workspace
Two parts.

Exam (7 questions) in Shaheen's workspace
Content assessed : complex arithmetic; argument and modulus of complex numbers; de Moivre's theorem.
This complex numbers inclass assesment counts 20% towards your final maths grade for WM104.
Note that although questions are randomised for each student, all questions test the same learning outcomes at the same level for each student.
If you have any questions during the test, please put up your hand to alert the invigilator that you need attention.

Question in Content created by Newcastle University
Multiplication and addition of complex numbers. Four parts.

Question in Howtos
Show one of several blocks of text depending on the value of a question variable.
As well as a simple check for the value of a variable, the condition to display a block of text can be a complex expression in any of the question variables  in this example, depending on the discriminant of the generated quadratic.

Question in Blathnaid's workspace
Finding the modulus and argument (in radians) of four complex numbers; the arguments between $\pi$ and $\pi$ and careful with quadrants!

Question in PH023 Foundation Mathematics for Physicists 1
Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

Question in PH023 Foundation Mathematics for Physicists 1
Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

Question in Content created by Newcastle University
Find the solution of a constant coefficient second order ordinary differential equation of the form $ay''+by=0$. Complex roots.

Question in Content created by Newcastle University
Find $\displaystyle I=\int \frac{2 a x + b} {a x ^ 2 + b x + c}\;dx$ by substitution or otherwise.

Question in Content created by Newcastle University
Polar form of a complex number.

Question in Content created by Newcastle University
Cauchy's integral theorem/formula for several functions $f(z)$ and $C$ the unit circle.

Question in Content created by Newcastle University
Modulus and argument of a single complex number, where $\mathrm{Re}(z)=\mathrm{Im}(z)$.

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 $\mathrm{Re}(z_2)=\mathrm{Im}(z_2)$.

Question in Content created by Newcastle University
Calculate the principal value of a complex number.

Question in Content created by Newcastle University
Write complex numbers in realimaginary form.

Question in Content created by Newcastle University
Poles, residues, and contour integral of a complexvalued function. Pair of pure imaginary poles.

Question in Content created by Newcastle University
Poles, residues, and contour integral of a complexvalued function. Pair of real poles.

Question in Content created by Newcastle University
Poles, residues, and contour integral of a complexvalued function. Single, simple pole.

Question in Content created by Newcastle University
Calculation of modulus, argument, multiplication by complex conjugate, given two complex numbers.

Question in Content created by Newcastle University
Contour integral of $z^2$ along any path.

Question in Content created by Newcastle University
Contour integral of $\mathrm{e}^{z}$ along any path.

Question in Content created by Newcastle University
Contour integral of a complexvalued function $f(z)$ with the poles of $f(z)$ either inside or outside the path $C$.