Mathematics & Statistics Texas Tech University Kent Pearce Department of Mathematics and Statistics Texas Tech University Lubbock, Texas 79409-1042 Voice: (806)742-2566 x 226 FAX: (806)742-1112 Email: kent.pearce@ttu.edu

 Math 1350 Analytical Geometry Fall 2014 Riddle Analytical Geometry Brooks/Cole

Review Final Exam

Review from Exam I       Review from Exam II       Review from Exam III

You may bring a one-page notesheet with you to the exam

 Section Content Suggested Problems Section 8.1 Polar Coordinates Section 8.2 Graphs in Polar Coordinates Test for Symmetry of Polar Coordinate Graphs Symmetry about the polar axis (x-axis) Symmetry about line θ=90° (y-axis) Symmetry about the pole (origin) Page 289: 1-4, 7, 10, 11, 18 Section 8.3 Points of Intersection Page 294:5, 6, 7 Section 8.4 Conversion between Rectangular and Polar Coordinates Theorem 8.2 Equations for representing Points in Rectangular and Polar Coordinates Transforming Equations between Rectangular and Polar Coordinates Page 298: 1-2, Odd 3-17 Section 8.6 Parameter Equations Graphing Parametric Equations Methods for Eliminating the Parameter Vector-valued Functions Page 311: 3, 5, 13, 15, 18, 21, 25 Section 9.1 Coordinate System in Euclidean 3-space Coordinates Coordinate Planes Octants First Octant Right-hand Coordinate System Distance Formula Point-of-Division Formulas Mid-point Formula Page 321: 3, 5, 13, 15, 17, 21 Section 9.2 Vectors in Euclidean 3-space Standard Basis Vectors Addition Formula Scalar Multiplication Formula Dot Product Theorem 9.7 Algebraic Properties of Dot Products Angle θ between two non-zero vectors Projection of a vector u onto a vector v Page 327: 1, 3, 5, 9, 11, 15, 19-21, 23, 25 Section 9.3 Direction angles for a vector Direction cosines for a vector Direction numbers for a vector Direction angles, cosines and numbers for a line Tests for two lines being parallel or perpendicular Page 333: 1, 3, 7, 9, 21, 23, 25 Section 9.4 Parametric equation for a line Symmetric form for the equation of a line Point of intersection of two lines Page 341: 1, 5, 9, 13, 17, 19, 21

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