How Will Virtual Reality Change Vector Calculus?
One goal of this book is to address this question, via exploring many of the topics of three-dimensional calculus using the power of virtual reality a la VRML. Until recently, all of multivariable/vector calculus was taught algebraically. Now many courses utilize computers via computer algebra systems and graphing tools to visually investigate the geometry of curves and surfaces in 3-space. Virtual Reality/VRML holds many possibilities for extending the visual investigation experience. The incorporation of CAS’s forced many changes in the curriculum for 3D calculus over the last five years; we ask: how will VR change it in the next five years? • Special Notes about Using the VRML Plugin Live3D Part I: Calculus, VR, and Three Dimensions • Chapter 1 – Intuition via VR in 3D • §1.1 – Plotting Points and Vectors • §1.2 – Geometric Relationships in 3D • §1.3 – Geometric Measurements in 3D • §1.4 – Basic Constructions: Lines and Planes • §1.5 – Other Coordinate Systems • Chapter 2 – Surfaces
