Pre-Calculus - Eduware

4. Parametric Equations
A. Plane Curves……………………………………………………………………… 247
B. Graphing Parametric Equations…………………………………………………251
5. Polar Coordinates
A. Converting Cartesian Coordinated to Polar Form……………………………254
B. Graphing Polar Equations……………………………………………………… 255
C. Common Polar Graphs……………………………………………………………259
X. VECTORS, ANALYTIC GEOMETRY
1. Vector Algebra
A. Vector Addition…………………………………………………………………… 263
B. Scalar Multiplication………………………………………………………………264
C. Magnitude Of A Vector……………………………………………………………265
2. Unit Vectors…………………………………………………………………………… 266
3. Dot Product of Two Vectors
A. Finding The Dot Product Of Two Vectors…………………………………… 267
B. Finding the Angle Between Two Vectors………………………………………268
4. Three Dimensional Coordinate System
A. Distance and Midpoint Formulas………………………………………………268
B. Magnitude of a Three Dimensional Vector……………………………………269
5. Vector Cross Products
A. Geometric Properties………………………………………………………………270
B. Computing The Cross Product…………………………………………………271
C. Applications of The Cross Product……………………………………………272
6. Equations of Lines And Planes In Space
A. Finding Equations of Lines in Space……………………………………………273
B. Finding Equations Of Planes In Space…………………………………………274
C. Finding The Line Of Intersection Of Two Planes……………………………275
D. Distance Between a Point and a Given Plane…………………………………276
XI. INTRODUCTARY CALCULUS
1. Limits and Continuity
A. Definitions……………………………………………………………………………277
B. Computing Limits…………………………………………………………………278
C. Infinite Limits………………………………………………………………………280
D. Continuous and Discontinuous Functions……………………………………281
2. Derivatives
A. Definitions
i. Geometric Definition…………………………………………………282
ii. Analytic Definition……………………………………………………283
B. Power Rule…………………………………………………………………………284
C. Applications of Differentiation………………………………………………… 287
3. Basic Antiderivatives…………………………………………………………………288