Package: mosaicCalc 0.6.5.9004

Daniel Kaplan

mosaicCalc: R-Language Based Calculus Operations for Teaching

Software to support the introductory *MOSAIC Calculus* textbook <https://www.mosaic-web.org/MOSAIC-Calculus/>), one of many data- and modeling-oriented educational resources developed by Project MOSAIC (<https://www.mosaic-web.org/>). Provides symbolic and numerical differentiation and integration, as well as support for applied linear algebra (for data science), and differential equations/dynamics. Includes grammar-of-graphics-based functions for drawing vector fields, trajectories, etc. The software is suitable for general use, but intended mainly for teaching calculus.

Authors:Daniel T. Kaplan <[email protected]>, Randall Pruim <[email protected]>, Nicholas J. Horton <[email protected]>

mosaicCalc_0.6.5.9004.tar.gz
mosaicCalc_0.6.5.9004.zip(r-4.7)mosaicCalc_0.6.5.9004.zip(r-4.6)mosaicCalc_0.6.5.9004.zip(r-4.5)
mosaicCalc_0.6.5.9004.tgz(r-4.6-any)mosaicCalc_0.6.5.9004.tgz(r-4.5-any)
mosaicCalc_0.6.5.9004.tar.gz(r-4.7-any)mosaicCalc_0.6.5.9004.tar.gz(r-4.6-any)
mosaicCalc_0.6.5.9004.tgz(r-4.6-emscripten)
manual.pdf |manual.html✨
card.svg |card.png
mosaicCalc/json (API)
NEWS

# Install 'mosaicCalc' in R:
install.packages('mosaicCalc', repos = c('https://projectmosaic.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/projectmosaic/mosaiccalc/issues

Datasets:
  • Anchorage_tide - Tide levels from the US NOAA
  • Aquaman - Box office from the movie Aquaman
  • Body_fat - Measurements of body-fat percentage and related quantities
  • 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
  • Covid_US - COVID data from the first half of the pandemic
  • CPUs - Characteristics of computer central processing unit chips over the decades
  • 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
  • Fly_ball - Trajectory of a fly ball in baseball
  • HDD_Minneapolis - Heating degree days in Minneapolis, Minnesota, USA
  • Home_utilities - Gas and electricity usage by a home in St. Paul, MN
  • Kepler - Kepler's calculation of the position of Mars
  • M2014F - Mortality versus age for females in the US in 2014
  • Oh_sound - Recordings of vowel sounds
  • Planet_solar - Solar irradiance of the planets
  • Planets - NASA data on planets
  • RI_tide - Tide levels from the US NOAA
  • Robot_stations - Waypoints on the path of a fictitious robot
  • Runners - Running times
  • SSA_2007 - US Mortality table from 2007
  • UK_GDP - Gross Domestic Product of the United Kingdom over a millenium
  • US_income - Income distribution data from the US in 2009
  • 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
  • World_oil - Yearly production of oil, globally

On CRAN:

Conda:

8.98 score 15 stars 658 scripts 3.2k downloads 60 exports 105 dependencies

Last updated from:b3c30df7ce. Checks:7 ERROR, 2 OK. Indexed: yes.

TargetResultTimeFilesSyslog
linux-devel-x86_64ERROR223
source / vignettesOK261
linux-release-x86_64ERROR202
macos-release-arm64ERROR213
macos-oldrel-arm64ERROR145
windows-develERROR170
windows-releaseERROR140
windows-oldrelERROR166
wasm-releaseOK156

Exports:%cang%%dot%%onto%%perp%antiDargMas_magnitudebind_paramsbox_setconnectorcontour_plotDdata_Mdf2matrixdomaindoodle_funequality_constraintfitModelflow_fieldfourier_Mfourier_setgradient_plotinequality_constraintinscribed_circleIntegrateintegrateODEinteractive_plotis_in_domainIteratelegendre_Mlegendre_setM_colsmakeODEnormalizens_Mns_setnumDPE_fun1PE_fun2PicketQqsplinerR_for_Qrmatrvecslice_plotsplinerstreamlinessurface_plotsurface_with_contourssymbolicDtraj_plottraj_plot_3Dtrajectory_eulervbindvecvec_namesveclenvectorfield_plotZeros

Dependencies:backportsbase64encbitbit64bslibcachemcalculuscheckmateclassclassIntclicliprcpp11crayondata.tableDBIDerivdigestdplyre1071evaluatefarverfastmapfontawesomefontBitstreamVerafontLiberationfontquiverforcatsFormulaformula.toolsfsgdtoolsgenericsggformulaggiraphggplot2ggridgesgluegtablehavenhighrhmshtmltoolshtmlwidgetsisobandjquerylibjsonliteKernSmoothknitrlabelinglabelledlatticelifecyclelubridatemagrittrMASSMatrixmemoisemetRmimemosaicmosaicCoremosaicDataoperator.toolsorthopolynompillarpkgconfigplyrpolynomprettyunitsprogressproxypurrrR6rappdirsRColorBrewerRcppreadrrlangrmarkdownRyacass2S7sassscalessfspstringistringrsystemfontstibbletidyrtidyselecttimechangetinytextzdbunitsutf8vctrsviridisLitevroomwithrwkxfunyaml

{mosaicCalc} Quick Reference

Rendered fromquick-reference.Rmdusingknitr::rmarkdownon May 13 2026.

Last update: 2026-02-21
Started: 2022-07-19

Beginners' Guide to Calculus with R

Daniel Kaplan

Rendered fromCalculus_with_R.Rmdusingknitr::rmarkdownon May 13 2026.

Last update: 2026-02-21
Started: 2020-02-18

Instructors' Guide

Daniel Kaplan

Rendered fromInstructors.Rmdusingknitr::rmarkdownon May 13 2026.

Last update: 2026-02-21
Started: 2022-07-12

Readme and manuals

Help Manual

Help pageTopics
Box office from the movie AquamanAquaman
Find local extreme pointsargM
Basis sets for for function approximationbasis_sets fourier_M fourier_set legendre_M legendre_set ns_M ns_set
Measurements of body-fat percentage and related quantitiesBody_fat
Evenly spaced samples across a one- or two-dim domainbox_set
Short recordings of a cello and a violinCello Cello_seg Violin Violin_seg
Cricket chirp rate and temperatureChirps
Contour plots of functions of two variablescontour_plot
COVID data from the first half of the pandemicCovid_US
Characteristics of computer central processing unit chips over the decadesCPUs
Create a numerical anti-derivative function which can be called with one or many values of the w.r.t. inputcreate_num_antiD
Derivative and Anti-derivative operatorsantiD D
Construct a model matrix from data as if by handdf2matrix
Specify a domain over which a function is to be grapheddomain
Construct a random function that is smoothdoodle_fun
Case numbers in an Ebola outbreak in 2014EbolaAll EbolaGuinea
Effective amount of oxygen available at different altitudesEffective_oxygen
Characteristics of various internal combustion enginesEngines
Handle the first three arguments of graphics functionsfirst_three_args
Find zeros of a functionfitSpline
Trajectory of a fly ball in baseballFly_ball
Plot a vector fieldgradient_plot vectorfield_plot
Heating degree days in Minneapolis, Minnesota, USAHDD_Minneapolis
Gas and electricity usage by a home in St. Paul, MNHome_utilities
Graphics for constraintsequality_constraint inequality_constraint
Utilities for formulas and graphics argumentsformals_from_expr infer_RHS
Create a data frame for a circle marking the curvature of a function.inscribed_circle
Integrate a functionIntegrate
Integrate ordinary differential equationsintegrateODE
check whether a value is in a domainis_in_domain
Iterate a function on an initial conditionIterate
Kepler's calculation of the position of MarsKepler
Mortality versus age for females in the US in 2014M2014F
Create a dynamics object for use in 'integrateODE()' and the ODE graphicsmakeODE
Numerical DerivativesnumD
Potential energy functions used as examples in _MOSAIC Calculus_.PE_fun1 PE_fun2
Creates a "picket fence" of points for illustrating numerical integrationPicket
Solar irradiance of the planetsPlanet_solar
NASA data on planetsPlanets
Plot functions of one and two variables using lattice systemplotFun
Create a quadratic spline (inefficiently)qspliner
Generate a "natural looking" function of one or multiple variablesrfun
Tide levels from the US NOAAAnchorage_tide RI_tide RI_tide,
Waypoints on the path of a fictitious robotRobot_stations
Running timesRunners
Interface to integration using RyacassimpleYacasIntegrate
Turn a 1-line function into an inline formulainline_expr replace_arg_in_expr simplify_fun
Plot a function of a single variableslice_plot
Create a smoothing function approximating a cloud of pointssmoother
US Mortality table from 2007SSA_2007
Dynamical systems calculations and graphicsflow_field streamlines trajectory_euler
Make an interactive plotly plot of a function of two variablesinteractive_plot surface_plot surface_with_contours
Symbolic DerivativessymbolicD
Plots a trajectorytraj_plot
Simple 3D plot of a trajectorytraj_plot_3D
Gross Domestic Product of the United Kingdom over a milleniumUK_GDP
Identifying unbound inputs to a functionbind_params unbound
Income distribution data from the US in 2009US_income
Utilities for vector/matrix calculations%cang% %dot% %onto% %perp% as_magnitude data_M M_cols normalize Q rmat rvec R_for_Q vbind vec veclen vec_names
convert a function with separate arguments into one with a single vector argument For use with optim.vector_arg
Recordings of vowel soundsEe_sound Oh_sound Vowel_ee Vowel_oh
Yearly production of oil, globallyWorld_oil
Finds zeros of a function within a specified domainZeros