20 results authored by Shaheen Charlwood  search across all users.

Question in Shaheen's workspace
Linear combinations of $2 \times 2$ matrices. Three examples.

Exam (5 questions) in Shaheen's workspace
Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.

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
Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.
rebelmaths

Exam (5 questions) in Shaheen's workspace
Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.
rebelmaths

Question in Shaheen's workspace
Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix.

Question in Shaheen's workspace
Cramers Rule applied to 3 simultaneous equations

Question in Shaheen's workspace
Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Question in Shaheen's workspace
Multiplication of $2 \times 2$ matrices.

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
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 Shaheen's workspace
Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+(a^2+b^2)y=0,\;y(0)=1$ and $y'(0)=c$.

Question in Shaheen's workspace
Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+(a^2+b^2)y=0,\;y(0)=1$ and $y'(0)=c$.

Question in Shaheen's workspace
Find the solution of a constant coefficient second order ordinary differential equation of the form $ay''+by'+cy=0$.

Exam (4 questions) in Shaheen's workspace
Quiz covering basic arithmetic with complex numbers, solving a quadratic with complex solutions and converting to/from polar and rectangular forms.