R-Language Based Calculus Operations for Teaching

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Documentation for package ‘mosaicCalc’ version 0.6.1

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%dot% Utilities for vector calculations
%onto% Utilities for vector calculations
%perp% Utilities for vector calculations
Anchorage_tide Tide levels from the US NOAA
antiD Derivative and Anti-derivative operators
Aquaman Box office from the movie Aquaman
argM Find local extreme points
as_magnitude Utilities for vector calculations
basis_sets Basis sets for for function approximation
bind_params Identifying unbound inputs to a function
Blob1 Shapes used in moment of inertia calculations
Blob2 Shapes used in moment of inertia calculations
Blob3 Shapes used in moment of inertia calculations
Blob4 Shapes used in moment of inertia calculations
Body_fat Measurements of body-fat percentage and related quantities
bounds Specify a domain over which a function is to be graphed
box_set Evenly spaced samples across a one- or two-dim domain
Boyle Robert Boyle's pressure vs volume measurements
Cello Short recordings of a cello and a violin
Cello_seg Short recordings of a cello and a violin
Chirps Cricket chirp rate and temperature
contour_plot Contour plots of functions of two variables
Covid_US COVID data from the first half of the pandemic
CPUs Characteristics of computer central processing unit chips over the decades
create_num_antiD Create a numerical anti-derivative function which can be called with one or many values of the w.r.t. input
D Derivative and Anti-derivative operators
df2matrix Construct a model matrix from data as if by hand
domain Specify a domain over which a function is to be graphed
EbolaAll Case numbers in an Ebola outbreak in 2014
EbolaGuinea Case numbers in an Ebola outbreak in 2014
Ee_sound Recordings of vowel sounds
Effective_oxygen Effective amount of oxygen available at different altitudes
Engines Characteristics of various internal combustion engines
equality_constraint Graphics for constraints
first_three_args Handle the first three arguments of graphics functions
fitSpline Find zeros of a function
flow_field Dynamical systems calculations and graphics
Fly_ball Trajectory of a fly ball in baseball
formals_from_expr Utilities for formulas and graphics arguments
fourier_M Basis sets for for function approximation
fourier_set Basis sets for for function approximation
gradient_plot Plot a vector field
HDD_Minneapolis Heating degree days in Minneapolis, Minnesota, USA
Home_utilities Gas and electricity usage by a home in St. Paul, MN
inequality_constraint Graphics for constraints
infer_RHS Utilities for formulas and graphics arguments
inline_expr Turn a 1-line function into an inline formula
inscribed_circle Create a data frame for a circle marking the curvature of a function.
Integrate Integrate a function
integrateODE Integrate ordinary differential equations
interactive_plot Make an interactive plotly plot of a function of two variables
is_in_domain check whether a value is in a domain
Iterate Iterate a function on an initial condition
Kepler Kepler's calculation of the position of Mars
legendre_M Basis sets for for function approximation
legendre_set Basis sets for for function approximation
M2014F Mortality versus age for females in the US in 2014
makeODE Create a dynamics object for use in 'integrateODE()' and the ODE graphics
normalize Utilities for vector calculations
ns_M Basis sets for for function approximation
ns_set Basis sets for for function approximation
numD Numerical Derivatives
Oh_sound Recordings of vowel sounds
PE_fun1 Potential energy functions used as examples in _MOSAIC Calculus_.
PE_fun2 Potential energy functions used as examples in _MOSAIC Calculus_.
Picket Creates a "picket fence" of points for illustrating numerical integration
Planets NASA data on planets
Planet_solar Solar irradiance of the planets
plotFun Plot functions of one and two variables using lattice system
qspliner Create a quadratic spline (inefficiently)
replace_arg_in_expr Turn a 1-line function into an inline formula
rfun Generate a "natural looking" function of one or multiple variables
RI_tide Tide levels from the US NOAA
RI_tide, Tide levels from the US NOAA
Robot_stations Waypoints on the path of a fictitious robot
Runners Running times
simpleYacasIntegrate Interface to integration using Ryacas
simplify_fun Turn a 1-line function into an inline formula
slice_plot Plot a function of a single variable
smoother Create a smoothing function approximating a cloud of points
SSA_2007 US Mortality table from 2007
streamlines Dynamical systems calculations and graphics
surface_plot Make an interactive plotly plot of a function of two variables
surface_with_contours Make an interactive plotly plot of a function of two variables
symbolicD Symbolic Derivatives
trajectory_euler Dynamical systems calculations and graphics
traj_plot Plots a trajectory
traj_plot_3D Simple 3D plot of a trajectory
UK_GDP Gross Domestic Product of the United Kingdom over a millenium
unbound Identifying unbound inputs to a function
US_income Income distribution data from the US in 2009
vectorfield_plot Plot a vector field
vectors Utilities for vector calculations
vector_arg convert a function with separate arguments into one with a single vector argument For use with optim.
Violin Short recordings of a cello and a violin
Violin_seg Short recordings of a cello and a violin
Vowel_ee Recordings of vowel sounds
Vowel_oh Recordings of vowel sounds
Zeros Finds zeros of a function within a specified domain