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Question in MATH 6006_2019
Simple Indefinite Integrals

Question in MATH6006 Integration
Integration by susbtitution. Use the letter C for the constant.

Question in MATH 6005 2018_2019
Find the dot product and the angle between two vectors

Question in MATH 6005 2018_2019
Elementary operations on vectors; sum, modulus, unit vector, scalar multiple.

Exam (6 questions) in MATH 6005 2018_2019
No description given

Question in MATH6005 Engineering Mathematics 101
Multiplication of $2 \times 2$ matrices.

Exam (11 questions) in MATH 6006_2019
Integration by Substitution
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Exam (9 questions) in MATH 6006_2019
Differentiation of polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.
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Question in MATH6059
Solve 4 first order differential equations of two types:$\displaystyle \frac{dy}{dx}=\frac{ax}{y},\;\;\frac{dy}{dx}=\frac{by}{x},\;y(2)=1$ for all 4.
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Question in MATH6059
Find the solution of a first order separable differential equation of the form $a\sin(x)y'=by\cos(x)$.

Question in MATH6059
Find the solution of a first order separable differential equation of the form $(a+y)y'=b+x$.

Question in MATH6059
Equations which can be written in the form
\[\dfrac{\mathrm{d}y}{\mathrm{d}x} = f(x), \dfrac{\mathrm{d}y}{\mathrm{d}x} = f(y), \dfrac{\mathrm{d}y}{\mathrm{d}x} = f(x)f(y)\]
can all be solved by integration.
In each case it is possible to separate the $x$'s to one side of the equation and the $y$'s to the other
Solving such equations is therefore known as solution by separation of variables

Question in MATH6059
Find the solution of $\displaystyle \frac{dy}{dx}=\frac{1+y^2}{a+bx}$ which satisfies $y(1)=c$
rebelmaths

Question in MATH 6005 2018_2019
Elementary operations on vectors; sum, modulus, unit vector, scalar multiple.

Question in MATH 6005 2018_2019
Given vectors $\boldsymbol{A,\;B}$, find $\boldsymbol{A\times B}$

Question in MATH 6005 2018_2019
Find the dot product and the angle between two vectors

Question in MATH 6005 2018_2019
Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Exam (4 questions) in MATH 6005 2018_2019
Practical questions

Question in MATH 6005 2018_2019
Given vectors $\boldsymbol{A,\;B}$, find $\boldsymbol{A\times B}$

Question in MATH 6005 2018_2019
Elementary operations on vectors; sum, modulus, unit vector, scalar multiple.

Question in MATH6005 Engineering Mathematics 101
Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Question in MATH 6005 2018_2019
Linear combinations of $2 \times 2$ matrices. Three examples.

Question in MATH 6005 2018_2019
Cofactors Determinant and inverse of a 3x3 matrix.

Question in MATH 6005 2018_2019
Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Question in MATH 6005 2018_2019
Find the determinant of a $3 \times 3$ matrix.

Question in MATH 6005 2018_2019
Elementary Exercises in multiplying matrices.

Question in MATH 6005 2018_2019
Multiplication of $2 \times 2$ matrices.

Question in MATH6006 Integration
Simple Indefinite Integrals

Question in MATH6006 Integration
Simple Indefinite Integrals

Question in MATH6006 Integration
Simple Indefinite Integrals