IV. Symmetry
IV. Symmetry
IV.1.1. Invariance of Sets under a Symmetry Group
IV.1.2. Functions with Involutive Symmetry
IV.2.1. Periodicity
IV.2.2. Sketching Trigonometric Functions
IV.2.3. Inverse Trigonometric Functions
IV.2.4. Equations Involving Trigonometric Functions
IV.2.5. Superposition of Waves
IV.3.1. Exponential Functions and Logarithms
IV.3.2. Models of Symmetric Change
IV.3.3. The Natural Exponential and Logarithm
IV.3.4. Exponential Growth and Decay
IV.4.1. Translating Intersections
IV.4.2. Scaling Intersections
IV.4.3. An Algebraic Inverse Function Theorem
Worksheet IV.1A: Rigid Motions of the Plane
Worksheet IV.1B: Using Symmetry to Simplify Problems
Worksheet IV.2A: Equations that Involve Periodic Functions
Worksheet IV.2B: Traveling Waves and their Interference
Worksheet IV.3: Exponential Growth and Decay
Worksheet IV.4A: The Reflection Property of Ellipses
Worksheet IV.4B: Tangency and Inverse Functions