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    Study Materials

    The following notes are supplemental to the lecture notes.

    TOPICS NOTES
    Mathematical Objects, 2-Dimensional Euclidean Geometry (E2) and 3-Dimensional Euclidean Geometry (E3), Incidence Relations, Parallelism, Congruence, Perpendicularity, Projections, Miscellaneous Definitions Supplementary Notes 1 (This resource may not render correctly in a screen reader.PDF)
    Parallelogram Facts in E3, Arrows and Vectors Supplementary Notes 2 (This resource may not render correctly in a screen reader.PDF)
    Cartesian Coordinate System, Triple Products Supplementary Notes 3 (This resource may not render correctly in a screen reader.PDF)
    Calculus of One-Variable Scalar Functions, Limits and Derivatives for Vector Functions of One Real Variable, Theorem on Unit Vector Functions Supplementary Notes 4 (This resource may not render correctly in a screen reader.PDF)
    Curves, Finite Paths and Finite Curves, Finding a Path for a Given Curve, Unit Tangent Vectors, Smoothness, Piecewise Smoothness, Rectifiability, Arc-Length, Unit Normal Vectors, Curvature, The Moving Frame Supplementary Notes 5 (This resource may not render correctly in a screen reader.PDF)
    Cylindrical coordinates; Defining Equations, Coordinate Surfaces, Coordinate Curves, Coordinate Vectors, and Coordinate Frames, Paths, Velocity, and Acceleration in Cylindrical Coordinates, Central-Force Motion, Angular Momentum, and Kepler's Second Law Supplementary Notes 6 (This resource may not render correctly in a screen reader.PDF)