MATH 2421 (MATH2421)

Test Bank For Fundamentals Of Differential Equations 8th Edition Nagle Saff Snider Contents Notes to the Instructor 1 Supplements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Computer Labs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Group Projects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Technical Writing Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Student Presentations . . . . ....

Parametric equations general form Parameters Parametric descriptions Parametric equations of a circle Proof of parametric circle

Intersections of cone(s) with a plane Parabola Ellipse Circle Hyperbola Semi-major axis Semi-minor axis Standard form of conics Asymptotes

Component form of vectors Engineering vector notation Position vectors Magnitude of vectors Unit vectors Scalar multiples Parallel vectors

Dot products Properties of dot products Angle of separation Geometric formula of dot product Projections Orthogonals

Cross products of 2 component vectors <x,y> and 3 component vectors <x,y,z> Engineering notation of cross products Order of cross products Properties of cross products Geometric property of cross product

Position vector function Vector Equations Parametric Equations Non-simple planes Normal vector Orthogonal vector

Extrusions along x,y,z axes Generating curves Traces in x,y,z Quadric surfaces classification Ellipsoid, Elliptic paraboloid, Hyperbolic paraboloid, Hyperboloid of one sheet, Hyperboloid of two sheets, Hyperbolic cones, Elliptic cones