CalcVR Content

Legend for CalcVR and Supplemental materials:

Below is an outline of the material offered by CalcVR. The flow chart below will use the following colors to indicate the material type.

Topic	similar to a chapter in a book
Lesson	a mostly on rails CalcVR scene designed to expose students to a concept through representations of mathematical objects in virtual reality with accompanying audio descriptions
Playground	an area in CalcVR where the user can create and student objects from multivariable Calculus with minimal guided audio
Activity	a series of guided instructions outside of CalcVR designed to supplement a lesson in CalcVR or concept in multivariable calculus
Exploration	series of questions posed in conjunction with a CalcVR Playground or lesson designed to guide the student through a concept from multivariable calculus
Quiz	a series of questions inside of CalcVR about objects from multivariable calculus

---

CalcVR Topics from Multivariable Calculus:

Click on one of the topics below and you will see a flowchart of lessons, playgrounds, activities, etc. related to the topic. The relationship between nodes in the chart is meant to provide suggested prerequisites before engaging in the material.

400, 10, topic, 2D Coordinates, , C1.html,
40, 100, activity, Parametric, Coordinates, parametric.html, 0
400, 100, activity, Rectangular, Regions, rect_regions.html, 0
750, 100, activity, Polar Points, and Regions, polar.html, 0
10, 200, activity, Parametric Equations, for Conic Sections, ellipse.html, 1
300, 200, activity, Derivatives of, Parametric Equations, derivative.html, 1

400, 10, topic, 3D Coordinates, , C2.html,
40, 100, lesson, Rectangular, Coordinates, rect_3D.html, 0
400, 100, lesson, Cylindrical, Coordinates, Cylindrical.html, 0
750, 100, lesson, Spherical, Coordinates, Spherical.html, 0
10, 200, activity, Rectangular, Activity 1, rect_3D.html#constant_rec_coord, 1
200, 200, activity, Rectangular, Activity 2, rect_3D.html#equal_rec_coord, 1
380, 200, activity, Cylindrical, Activity 1, Cylindrical.html#cyl_act_basic, 2
550, 200, lesson, Cylindrical, Activity 2, Cylindrical.html#activity-graph-z-r-squared, 2
700, 200, lesson, Spherical, Section 2, Spherical.html#spherical_boogaloo, 3
50, 300, lesson, Rectangular, Section 2, rect_3D.html#rect_section2, 4,5
800, 300, activity, Spherical, Activity, Spherical.html#spherical_basic, 3
400, 450, play, Constant Coordinate, Playground, Coord_Followup.html, 9, 8, 7

270, 10, topic, Lines and Planes, , C4.html,
80, 100, lesson, Lines, , lines.html, 0
300, 100, lesson, Planes, , planes.html, 0
550, 100, play, Quadric Surface, Playground, QuadricDemo.html, 0
10, 200, quiz, Lines, Quiz, lines.html#lines_quiz, 1
130, 300, activity, Perpendicular, Line Activity, planes.html#planes_activity1, 1,2
350, 300, activity, Intersecting, Line Activity, planes.html#planes_intersect, 1,2
600, 200, exploration, Quadric Surface, Exploration, QuadAct.html, 3
550, 300, activity, Intersecting, Line Activity 2, planes.html#planes_intersect2, 1,2

270, 10, topic, Curves and, Surfaces, C5.html,
40, 100, lesson, Parametric, Curves, para_curves.html, 0
450, 100, lesson, Parametric, Surfaces, para_surfaces.html, 0
250, 200, lesson, Transformation, of Surfaces, para_transformations.html, 2
550, 200, play, Surface Graphing, Playground, surface_demo.html, 2

400, 10, topic, Vector Valued, Functions, C3.html,
240, 100, lesson, Plotting, , vvf_plotting.html, 0
500, 100, play, Playground, , VVFDemo.html, 1
150, 200, lesson, Velocity, , vvf_velocity.html, 1
400, 200, lesson, Unit Tangent, Vector , vvf_tangent.html, 3
800, 150, lesson, Curvature, , vvf_curvature.html, 4
250, 300, lesson, Acceleration, , vvf_acceleration.html, 3
180, 550, lesson, Splitting of the, Acceleration Vector, vvf_splitting.html, 6,4,8
400, 450, lesson, Unit Normal, Vector , vvf_normal.html, 4
400, 550, lesson, Binormal, Vector, vvf_binormal.html, 8
150, 300, lesson, Speed, , vvf_speed.html, 3
10, 270, exploration, Speed, Exploration, vvf_speed.html#speed_expl, 10
150, 400, lesson, Arc, Length, vvf_arclength.html, 10
10, 370, exploration, Arc Length, Exploration, vvf_arclength.html#arc_expl, 12
550, 330, activity, Unit Normal, Activity, vvf_normal.html#TNactivity1, 4,8
650, 250, activity, Curvature, Activity, vvf_curvature.html#curve_act, 5
700, 350, exploration, Curvature, Exploration, vvf_curvature.html#curve_expl, 5

270, 10, topic, Multivariable, Functions, C7.html,
40, 100, lesson, Domain, , mvf_function.html, 0
40, 200, activity, Domain, Activity, mvf_function.html#mvf_domain, 1
200, 100, lesson, Contours, , mvf_contour.html, 0
200, 200, activity, Contour, Activity, mvf_contour.html#mvf_contour_act, 3
600, 100, lesson, Limits and, Continuity, mvf_limit.html, 0
580, 200, activity, Limit, Activity, mvf_limit.html#mvf_path, 5
720, 200, activity, Limit DNE, Activity, mvf_limit.html#limit_dne, 5
350, 200, lesson, Partial, Derivatives, mvf_partials.html, 0
50, 400, activity, Partial Derivative, Path Activity, mvf_partials.html#mvf_part_act, 8
250, 400, lesson, Gradient, , mvf_gradient.html, 8
400, 500, lesson, Directional, Derivative, mvf_directional.html, 10
550, 600, activity, Directional Derivative, Path Activity, mvf_directional.html#mvf_dir_paths, 11
550, 400, lesson, Tangent, Planes, mvf_linearity.html, 8
750, 400, lesson, Second, Partials, mvf_secondpartials.html, 8
750, 500, activity, Second Partial, Activity, mvf_secondpartials.html#mvf_second_act, 14
250, 500, lesson, Extrema, , mvf_extrema.html, 10
50, 500, activity, Extrema, Activity, mvf_extrema.html#mvf_ext_act, 16
300, 600, lesson, Extrema on, Compact Regions, mvf_extremacompact.html, 16
50, 600, activity, Extrema on Compact, Regions Activity, mvf_extremacompact.html#mvf_comp_act, 18
25, 300, play, Contour, Playground, mvf_contourdemo.html, 3

350, 10, topic, Multiple, Integration, C8.html,
300, 200, lesson, Introduction, to Integration, int_intro.html, 0

350, 10, topic, Vector, Fields, C9.html,
350, 100, lesson, Plotting, , VF_plotting.html, 0
150, 200, lesson, Curl, , VF_curl.html, 1
550, 200, lesson, Divergence, , VF_div.html, 1
600, 100, play, Vector Field, Playground, VF_demo.html, 1

350, 10, topic, Vector, Calculus, C10.html,
350, 200, lesson, Line Integrals, Scalar Functions, lineintegrals.html, 0
50, 200, lesson, Line Integrals, Vector Field, lineintegrals_vf.html, 0
650, 200, lesson, Surface, Integrals, surfaceintegrals.html, 0
350, 300, topic, Major, Theorems, C11.html, 1,2,3