159 results authored by Julie Crowley - search across all users.
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Exam (5 questions) in MATH7011 Maths for Digital Systems
First- and second order recurrence equations, homogenous and nonhomogenous
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Question in Julie's workspace
Given a random variable $X$ normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.
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Question in Julie's workspace
Find a regression equation given 12 months data on temperature and sales of a drink. Includes an interactive diagram for experimenting with fitting a regression line.
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Question in IMLSN Website
No description given
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Question in TEAME's workspace
Graph Limits
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Question in Julie's workspace
Calculate the Pearson correlation coefficient on paired data and comment on the significance.
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Question in Julie's workspace
Application of the Poisson distribution given expected number of events per interval.
Finding probabilities using the Poisson distribution.
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Question in Julie's workspace
Given a graph of a line of the form $y=ax+b$ where $a$ and $b$ are integers, find the equation of the line. The y-intercept is given.
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Question in Julie's workspace
Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+(a^2+b^2)y=0,\;y(0)=1$ and $y'(0)=c$.
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Question in Julie's workspace
Method of undermined coefficients:
Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+a^2y=0,\;y(0)=c$ and $y(1)=d$. (Equal roots example). Includes an interactive plot.
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Question in Julie's workspace
Given a graph of a line of the form $y=ax+b$ where $a$ and $b$ are integers, find the equation of the line.
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Question in Julie's workspace
Compute a table of values for a quadratic function. A JSXgraph (the graph paper) plot shows the curve going through the entered values. The student input is now disconnected from the graph so that they slide the points usually after they input the values and the answer fields are not updated.
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Question in Julie's workspace
Compute a table of values for a quadratic function. The student input is now disconnected from the graph so that they slide the points on the graph after they input the values and the answer fields are not updated. Now includes a graph in advice.
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Question in Julie's workspace
No description given
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Question in Julie's workspace
Compute a table of values for an exponential function. The student input is now disconnected from the graph so that they slide the points on the graph after they input the values and the answer fields are not updated. Now includes a graph in advice.
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Calculate the Pearson correlation coefficient on paired data and comment on the significance.
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Question in Julie's workspace
No description given
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Question in Julie's workspace
Indices
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Exam (12 questions) in Julie's workspace
No description given
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Question in Julie's workspace
Splitting an algebraic fraction into partial fractions
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Exam (5 questions) in Julie's workspace
Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.
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Question in Julie's workspace
Practice use of summation notation for regression question.
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Question in Julie's workspace
$X \sim \operatorname{Binomial}(n,p)$. Find $P(X=a)$, $P(X \leq b)$, $E[X],\;\operatorname{Var}(X)$.
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Exam (25 questions) in MATH6002 Calculus and Statistics for the Biological Sciences
Basic indefinite integrals, Basic definite integrals, integration by substitution
Missing: Area type question, solving diff eq application
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Exam (12 questions) in Maths Online
Differentiation of polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.
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Given a random variable $X$ normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.
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Question in JP
Find the stationary points of the function: $f(x,y)=a x ^ 3 + b x ^ 2 y + c y ^ 2 x + dy$ by choosing from a list of points.
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Exam (12 questions) in MATH6002 Calculus and Statistics for the Biological Sciences
Differentiation of polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.
Missing: Application with bacteria, turning points, difficult chain rule
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Exam (18 questions) in Julie's workspace
Transposition of formulae. Changing the subject of an equation.
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Question in Julie's workspace
Given random set of data (between 13 and 23 numbers all less than 100), find their stem-and-leaf plot.
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