No description given

Simple Indefinite Integrals

No description given

Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$

Simple Indefinite Integrals

15 questions based on module so far. 

Provided with information on a sample with sample mean and known population variance, use the z test to either or reject a given null hypothesis. One sided.

Download a file and scan the values into R to obtain a numeric vector of values. Then use R to explore your numeric vector in order to find the answers to these questions.

SPSS fat absorption question. Student downloads one of several SPSS files and carries out some analysis in SPSS, before returning to enter the answers. The analysis is a one-way analysis of variance. If there is a difference in the levels of the factor then a post hoc test (Tukey's honestly significant difference) is used to determine which pairs of variables are significantly different. 

Multiplication and division of upper and lower bounds.

The custom function rectangle(width,height) draws a rectangle with the given dimensions, along with some labels.

Compute the information rate and minimum distance of some binary codes.

Quadratic factorisation that does not rely upon pattern matching.

Provided with information on a sample (>30) with sample mean and standard deviation, use the z test to either accept or reject a given null hypothesis.

Question is to calculate the area bounded by a cubic and the $x$-axis. Requires finding the roots by solving a cubic equation. Calculator question

Differentiate $ (a+bx) ^ {m} \sin(nx)$

Linear combinations of $2 \times 2$ matrices. Three examples.

$X \sim \operatorname{Binomial}(n,p)$. Find $P(X=a)$, $P(X \leq b)$, $E[X],\;\operatorname{Var}(X)$.

rebelmaths

Function $f(x) = xe^{ax}$ is sketched and area shaded. Question is to determine the area under graph, exactly and (calculator) to 3 s.f. Area is above x-axis.

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

Find modulus and argument of two complex numbers.

Then use De Moivre's Theorem to find powers of the complex numbers.