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Unformatted text preview: ENGR 201 Summer Unit 1 Study Guide Unit Content : Section Pages Content 13.1 906-920 Vector-Valued Functions and Motion in Space 13.3 931-936 Arc Length and The Unit Tangent Vector, g G 13.4 936-943 Curvature and The Unit Normal Vector, 13.5 943-950 Torsion and The Unit Binormal Vector, G , The T-N-B (Frenet) Frame, Normal, Osculating, and Rectifying Planes 10.8 734-736 Polar Vectors, Planetary Motion and Satellites 13.6 950-959 14.1 965-975 Functions of Several Variables 14.2 976-984 Limits and Continuity in Higher Dimensions Learning Objectives (part 1) : 1. Given the position vector defining a curve, find , u u, , , , and cos (where is the angle between and ) with specified. Show , , and along with the curve, on a sketch. 2. Evaluate a given integral involving vector functions or solve a differential equation such as one with given , , or the force acting on a particle and the initial conditions to be used to find the velocity and/or position at any time, . 3. Find the length of a specified portion of a given curve, . 4. Find the center, radius, and equation of the osculating circle for a given curve (in the plane) at a specified point. Show that it has the same first and second derivatives as those of the curve itself at the point. Show the curve and circle on a sketch. Show the curve and circle on a sketch....
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This note was uploaded on 06/03/2010 for the course ENGR 201 taught by Professor Staff during the Summer '08 term at University of Louisville.
- Summer '08