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Methods Programs
comp-jplno4y7,4327
comp-jplnv5m8,4328
comp-jplnvzrj,4329
comp-jplnwqtl,4330
comp-jplnxkiq,4331
comp-jplpncyt,4332
https://static.wixstatic.com/media/undefined
https://www.youtube.com/watch?v=O4tBkjKZcrs
Input:
analyse("function","variable")
Example:
analyse(sin(x),x)
Summary:
- Maximal domain
- Axial intercepts
- Derivative
- Stationary points and their nature
- Inflection points and their nature
Notes:
*To obtain approximated answers, press [ctrl][enter] to run the program.
*When prompted to add a domain:
- Enter "1" to add a domain.
- Enter "0" to set domain to R.
https://static.wixstatic.com/media/undefined
If a "1" is entered, you will be prompted again to add domain endpoints.
https://static.wixstatic.com/media/undefined
Input:
function_inv("function of x")
Example:
function_inv(x^2)
Summary:
Finds the inverse function.
Notes:
Function must be in terms of "x"
https://www.youtube.com/watch?v=B5zZxmiDoo0
Input:
intesect("function 1","function 2","variable")
Example:
intersect(x/2,3log(x),x)
Summary:
Finds the intersection points (x&y coordinates) of 2 functions.
Notes:
*To obtain approximated answers, press [ctrl][enter] to run the program.
*When prompted to add a domain:
- Enter "1" to add a domain.
- Enter "0" to set domain to R.
https://static.wixstatic.com/media/undefined
If a "1" is entered, you will be prompted again to add domain endpoints.
Input:
transform("function","variable")
Example:
transform(sin(x),x)
Summary:
Functionality #1: Applying transformations to functions:
- Finds the image of a function under given transformations
- Finds the transformation matrix
https://www.youtube.com/watch?v=Q9wbv-Qx2QA
Functionality #2:
- Finds the transformations between two functions given a base function
- Finds the transformation matrix
- Lists the transformations
https://www.youtube.com/watch?v=9RyzA-Fx9AY
Functionality #3:
- Finds the pre-image of a function under known transformations
- Finds the transformation matrix
https://www.youtube.com/watch?v=FRXJ_SQLOMA
Functionality #4:
- Finds the image of a point under given transformations
Specialist Maths Programs
comp-jr4ugbr9,4337
comp-jr4ugcqq,4338
comp-jr4ugbnd,4336
comp-jr4ugd98,4339
comp-jr4ugdrg,4340
comp-jr4uge1h,4341
Enter your answer here
Input:
arg("complex number")
Example:
arg(3+2i)
Summary:
Finds the angle between the complex number and the positive real axis.
Notes:
The complex number "i" can be accessed through the "pi" button on the bottom left of your CAS.
Input:
bisector_line("complex number 1","complex number 2")
Example:
bisector_line(2+i,1+2i)
Summary:
Finds the equation of the line which bisects at right angles, the line joining the two complex numbers. This is equivilent to the cartesian relation describing the loci of points equidistant from the two complex numbers.
Notes:
The complex number "i" can be accessed through the "pi" button on the bottom left of your CAS.
Input:
complex_info("complex number")
Example:
complex_info(3+2i)
Summary:
Finds the conjugate, real part, imaginary part, modulus and argument of a complex number
Notes:
The complex number "i" can be accessed through the "pi" button on the bottom left of your CAS.
Tip:
The complex number can take on any form. (eg. complicated fractions involving i)
Input:
complex_poly("polynomial in terms of z")
Example:
complex_poly(z^2+z-1)
Summary:
- Finds the coefficients of the polynomial.
- Finds all the roots of the complex polynomial.
- Finds the modulus and argument of the roots.
Notes:
The complex number "i" can be accessed through the "pi" button on the bottom left of your CAS.
Input:
conjugate("complex number")
Example:
conjugate(3+2i)
Summary:
Finds the conjugate of a complex number.
Notes:
The complex number "i" can be accessed through the "pi" button on the bottom left of your CAS.
Input:
demoivre_poly("z to a power","modulus","argument/angle")
Summary:
Uses de Moivre's theorem to solve the equation z^n=r*cis(theta)
Example:
demoivre_poly(z^3,8,pi/3)
Solves z^3=8cis(pi/3)
Notes:
The first input must only be a power of z. For example, z^4.
Input
im("complex number")
Example:
im(3+2i)
Summary:
Finds the imaginary part of a complex number.
Input
mag("complex number")
Example:
mag(3+2i)
Summary:
Finds the modulus of a complex number.
Input
polar_conv("complex number")
Example:
polar_conv(3+2i)
Summary:
Converts a complex number in rectangular form to polar form.
Input
re("complex number")
Example:
re(3+2i)
Summary:
Finds the real part of a complex number.
Input
rect_conv("modulus","argument/angle")
Example:
rect_conv(3,pi/3)
Summary:
Converts a complex number from polar form to rectangular form.
Further Maths Programs
comp-jrb4vg6k,4343
comp-jr9qbkx3,4342
Enter your answer here
Enter your answer here
Enter your answer here
Enter your answer here
Enter your answer here
Enter your answer here
Enter your answer here
Enter your answer here
Enter your answer here
Updates & Change Log
Allgemeine Fragen,4344
Fixed inequality display error with binom_inv
Fixed inequality display error with nomal_solve
Fixed issues with mspesh\normal_inv not displaying enough decimal places
Access to continuous_info program
Fixed inequality display error with binom_inv
Removed function_grad from methods_diffcalc
Improvements to
normal_solve
Updated cover pages
Replaced linear_info with solve_grad on Methods SAC1
Replaced
z_score
with
normal_solve
on Methods Exam
Added programs for full study design
Methods: added system_solve, confidence, margin, p_binom_info, p_small_info, normal_solve
Spesh: added
bisector_line
,
lindep_solve
,
collinear_solve
,
confidence
,
hypothesis
,
margin
,
normal
,
normal_inv
,
p_value
,
p_value_w
Fixed error with suvat showing incorrect results.
riemann_sum
now shows actual area in conjunction with approximated area.
Added Backup Folder to Methods Documents
eulers_method now continues calculation if error occurs when solving DE
Minor bug fixes
Imported Further Programs
Added hypb_lines to mspesh_calc
Added EULA
Added methods_diffcalc, methods_func, methods_intcalc, methods_misc, methods_prblty, mspesh_calc, mspesh_complex, mspesh_diffeq, mspesh_mech, mspesh_vectors public libraries.
Methods Integration: Improved total_area and area_2curves, added riemann_sum
Methods Miscellaneous: Added discriminant
Methods Calculus: tangent_line, normal_line, function_lines shows axis intercepts
Spesh DEs: Added cooling_de, eulers_method, inverted_cone, mixture_de
Spesh Mechanics: Added collision_test, suvat
Library access to avg_change, function_avg, curve_length, curve_length_p, revolve, revolve_2curves
Added about, conditions and help to programs
Changed inputs to various programs (See https://qncubed3.wixsite.com/casprograms/programs)
Minor code changes and improvements for analyse
Fixed bug with complex_poly with coefficients displaying in wrong order
Added domain restriction feature on solve_grad
Improved display output for solve_grad
New feature for transform to describe transformations between functions
Other fixes and changes
New solve_grad program: finds points on a function with specified gradient
Fixed bug with complex_poly displaying conjugated roots
New display for polynomial coefficients for
complex_poly
Updated analyse output display
Refined
linear_info
Official Release
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