Machine Learning Mathematics
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"In mathematics, you don't understand things; you just get used to them."
John von Neumann
Precalculus Course Outline
- This section introduces the concept of functions, including function notation and evaluating functions.
- Explore linear functions, including slope, intercepts, and graphing linear equations.
Systems of Linear Functions
- Learn about systems of linear equations and how to solve them using various methods such as substitution and elimination.
Power and Polynomial Functions
- Study power functions and polynomial functions, including their properties and graphing techniques.
- 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.
- Explore exponential functions, exponential growth and decay, and logarithmic properties.
- 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.
Evaluating Trigonometric Functions
- Introduce trigonometric functions, including sine, cosine, and tangent, and learn to evaluate them.
Graphing Trigonometric Functions
- Study the graphs of trigonometric functions and their transformations.
- Explore trigonometric identities, including Pythagorean identities and sum and difference identities.
Inverse Trigonometric Functions and Solving Trigonometric Equations
- Understand inverse trigonometric functions and their properties, as well as solving trigonometric equations.
Further Applications of Trigonometry
- Apply trigonometric functions to solve real-world problems and explore additional trigonometric concepts.
- Learn about analytic geometry, including distance and midpoint formulas, and equations of circles and conics.
Sequences, Series, and the Binomial Theorem
- Study sequences, series, and the binomial theorem, including arithmetic and geometric sequences, and binomial expansions.