 # Ryangineer

## Machine Learning Mathematics&Virtual Reality Aesthetics

"In mathematics, you don't understand things; you just get used to them."
John von Neumann

### Precalculus Course Outline

#### Functions

• This section introduces the concept of functions, including function notation and evaluating functions.
• A diagram showing a function, such as f(x) = x^2, graphed on a Cartesian plane. Mathematics Libre Texts

#### Linear Functions

• Explore linear functions, including slope, intercepts, and graphing linear equations.
• Visuals illustrating the concept of slope and y-intercept, along with the graph of a linear equation, such as y = mx + b. School Tube

#### Systems of Linear Functions

• Learn about systems of linear equations and how to solve them using various methods such as substitution and elimination.
• An illustration of two linear functions graphed on the same plane showing their point of intersection. Open Textbook

#### Power and Polynomial Functions

• Study power functions and polynomial functions, including their properties and graphing techniques.
• Graphs of various polynomial functions, demonstrating different shapes depending on the degree of the polynomial. Lumen Learning

#### Rational Functions

• Examine rational functions and their characteristics, including asymptotes and solving rational equations.

#### Modeling Using Variation

• Understand the concept of variation and its applications in mathematical modeling.
• Diagrams showing direct, inverse, joint, or combined variation in real-world contexts. Slide Player

#### Exponential Functions

• Explore exponential functions, exponential growth and decay, and logarithmic properties.
• A graph of an exponential function, showing the characteristic rapid growth or decay. Study.com

#### Logarithmic Functions

• Learn about logarithmic functions, logarithmic properties, and solving logarithmic equations.

#### Exponential and Logarithmic Equations and Models

• Apply exponential and logarithmic functions to solve equations and model real-life situations.
• Graphs depicting real-life situations that can be modeled with exponential or logarithmic functions, such as population growth or radioactive decay. Lumen Learning

#### Evaluating Trigonometric Functions

• Introduce trigonometric functions, including sine, cosine, and tangent, and learn to evaluate them.
• The unit circle diagram showing sine, cosine, and tangent values for different angles. Matter of Math

#### Graphing Trigonometric Functions

• Study the graphs of trigonometric functions and their transformations.

#### Trigonometric Identities

• Explore trigonometric identities, including Pythagorean identities and sum and difference identities.
• Diagrams or proofs demonstrating trigonometric identities, such as those involving Pythagorean identities. Steve Stein

#### Inverse Trigonometric Functions and Solving Trigonometric Equations

• Understand inverse trigonometric functions and their properties, as well as solving trigonometric equations.
• Graphs of inverse trigonometric functions and illustrations of how they can be used to solve trigonometric equations. OnlineMathLearning.com

#### Further Applications of Trigonometry

• Apply trigonometric functions to solve real-world problems and explore additional trigonometric concepts.