This repository is a compilation of classpad programs I used in year 12.
They are licensed under the gnu public license v3 (See COPYING for more information). Please read the license before modifying the files.
In this directory there is a file named spec_method_programs-(eActivity).xcp. Connect your classpad to a computer and copy this eActivity file to the autoimport directory of the classpad.
From here you can copy the programs to the library directory in the classpad using the variable manager (while the eActivity is opened), to use the programs outside of the eActivity, for example, in the main application.
Go to the binary/ directory. Located there are files with the .XCP extension. Connect your classpad to a computer and copy the programs files you want to the autoimport directory of the classpad.
See section 15-2 of the classpad manual for more information on transferring files.
The source is included in source/
Classpad programs, like all other data files, are encoded in the .XCP format, which is unfortunately a binary format. Some have decoded this format but I have no intention to do so. Therefore, the only option is to copy the raw text (Below the line --- ONLY COPY BELOW THIS SECTION ---), then in Classpad manager use Paste Special when in the program editor.
Do not forget to copy/paste the arguments into the top bar, detailed in the 'Args line.
Note that some editing may be requried. These Manual replacements are detailed at the header of each source file. For example, subscripts which do not copy over well.
The original source files (What I actually used in my WACE exams) are also included in the original_source/ directory.
It's because as part of my workflow, I made extensive use of shift-keys. Because I had shift-keys assigned for every button, I just ended up using existing shift-keys and appending a number to the end. My workflow became shift+key -> left arrow -> number -> right arrow, which was only marginally slower. Unfortunately that means the programs are less readable. However feel free to rename the programs in the variable manager to whatever you want.
[v1.0.0]
De Moivre root finder. Lists all possible roots of z^power = C, in both polar/rectangular form. Ensures the angles are within the definition of arg(z) (-pi=<\theta=<pi).
[v1.0.0]
Analyzes an expression (MUST BE IN TERMS OF x) and returns the critical points (maximum, minimum, inflection, undulation points) in a neat tabular form, along with the differentiatied functions and the global maximum/minimum.
- LMAX (Local maximum):
dy/dx = 0, d^2y/dx^2 < 0 - LMIN (Local minimum):
dy/dx = 0, d^2y/dx^2 > 0 - INFL (Inflection):
d^2y/dx^2 > 0, d^3y/dx^3 != 0 - UNDULATN (Undulation):
d^2y/dx^2 = 0, d^3y/dx^3 = 0
A point of undulation appears to be an inflection looking at the second derivative, but in reality is not. An example function is x^4, which has a point of undulation (and a minimum) at (0,0)
Please note that this program may struggle with periodic functions (sin, cos, tan, etc.), due to the constn(n) variable. It is up to you to manually evaluate the table for each value of constn. You can do this by taking the output and using ans|{constn(0)=n1,constn(1)=n2,...}.
Additionally, you need to enable complex mode when evaluating anything that can return complex numbers, or else it'll fail. For example, with the expression ln(x)-x. For methods students, ignore anything containing i.
[v1.0.0]
Analyzes an equation (MUST BE IN TERMS OF y AND x) and returns the differentiated function and points where dy/dx=0 and d^2y/dx^2=0. Feel free to cancel the calculation in the middle if the second step takes to long (Finding solutions for d^2y/dx^2=0 is more intensive).
Note that this does not evaluate the nature of the points. I'm leaving that up to you to do. I may add this feature in a future version.
[v1.0.0]
Creates a summary list for a discrete random variable
Requires two column matrices. The first one contains the values of x, the second the probabilities for each value of x [ P(X=x) ]. It returns the expected value, the expected value of the squares of x and the variance/standard deviation.
A warning is emitted if the sum of the probabilities is NOT 1.
You may ask, "why did you go through the trouble of making this when there's literally an identical program in the statistics tab?". Firstly, switching from main wastes time. Yes, there is a DispStat function but I don't like how it displays more than we need. Also it's displaying approximate values, not exact. So the reason is basically because I don't like the workflow of statistics tab.
[v1.0.0]
Creates a summary list for a continuous random variable, similar to ln0.
Has two operating modes. First mode evaluates this summary list from the lower limit a to the upper limit b for an expression IN TERMS OF x (The probability density function/PDF). Returns expected value, variance/standard deviation, median (approximate), "median expression" (You can find the exact median by using solve(0.5=<median expression>)) and the CDF (as a complete piecewise function).
The second operating mode finds another limit given some known limit, n. It does this by ensuring the integral equals 1. It has no problems working with limits to infinity (like in PDFs which have an asymptote).
[v1.0.0]
Solves a linear system in matrix form. Matrix must be m*(m+1) (One wider than tall), as it contains the constant each row is equal to.
Solutions are returned as a row matrix, each element corresponding to the variable describing one column of the input
Returns echelon matrix and solution (as a column matrix)
[v1.0.0]
Important note! This function doesn't always work. Sometimes it just wastes classpad time trying to find a solution. Never rely on this for an answer.
Attempts to find the equation y=h(x). The input must be a list (use curly braces) which contains two functions, one equal to x and one equal to y, both in terms of t. It then returns two solutions as a list, both in the form y=h(x). You must evaluate which of the two is correct (if any). The t-values substituted to calculate each solution are then printed.
[v1.0.0]
Multipurpose probability utility
- Outputs a table of conditions (n >= 30, np >= 10, n(1-p) >= 10) which need to be met for a sample size to be considered 'large enough' to approximate a normal distribution (CLT).
- 1st row is the condition
- 2nd row states if the condition is met
- 3rd row states is the value of the condition
- 4th row the minimum value to satisfy the condition.
- Outputs the standard deviation (
SD(σ)) - Outputs a table of confidence intervals and their margin of error,
M_ERR, at commonly-used confidence levels (90,95,99) - Sets a series of variables to commonly-used constants. All of these variables are prefixed with
θ. Best used with a shift-key forθ[SHIFT+)].θ90,θ95,θ99: Z-scores for confidence intervals of 90,95 and 99θ36: A matrix containing values for two-die (I know this is basic stuff, but sometimes I want to manually validate something just to be safe. Also dice questions come up all the time.)
[v1.0.0]
Evaluates volumes of solids of revolution for a function y=f(x) (MUST include y and x). It will then prompt the user for which axis a -> b are located on. It returns a table containing volume rotated around x and y, and volume to an axis rotated about the other axis.