13 results authored by Gemma Crowe  search across all users.

Question in University of St Andrews  PREP
Three examples of determinant of 2x2 matrices.

Exam (4 questions) in University of St Andrews  PREP
4 questions on using partial fractions to solve indefinite integrals.

Exam (4 questions) in University of St Andrews  PREP
4 questions on integrating by parts.

Exam (5 questions) in University of St Andrews  PREP
5 questions on using substitution to find indefinite integrals.

Exam (5 questions) in University of St Andrews  PREP
5 questions on indefinite integration. Includes integration by parts and integration by substitution.

Question in University of St Andrews  PREP
Three examples of determinant of 2x2 matrices.

Gemma's copy of Gemma's copy of Maclaurin series (first four terms)  exponential Needs to be testedQuestion in University of St Andrews  PREP
Find the first four nonzero terms in the Maclaurin series for $e^{ax}$.

Question in University of St Andrews  PREP
Find the first three nonzero terms in the Maclaurin series for $\cos(x)$.

Question in University of St Andrews  PREP
Find the first three nonzero terms in the Maclaurin series for $\sin(x)$.

Question in University of St Andrews  PREP
Find the first 3 terms in the MacLaurin series for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$.

Question in University of St Andrews  PREP
Binomial series for Natural exponent

Question in University of St Andrews  PREP
Find the first 3 terms of Binomial series having a Natural exponent

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