Calculus & Vectors
This course builds on Advanced Functions to prepare you for university math. The two halves, (differential) calculus and vectors, are very different. Calculus is more algebraic and abstract, while vectors is more visual and geometric.
Rates of Change What is a limit? Evaluating limits Continuity First principle of calculus Derivatives & Applications What is a derivative? Differentiation rules Trigonometric functions Exponential functions Implicit differentiation Optimization Curve Sketching Value, slope, & concavity Critical points & key points Curve sketching strategy Geometry & Algebra of Vectors Scalars & vectors Addition & subtraction Scalar multiplication Vector spaces Standard basis Spanning sets Coplanarity Dot product Cross product Scalar & vector projection Direction cosines Geometric applications Equations of lines Line–line intersection Equations of planes Line–plane intersection Plane–plane intersection Shortest distance Matrices & linear systems Systems of three planes