All my math notes, now in Markdown. j-james.me/math

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Notes from Bainbridge High School's calculus classes. Written in a combination of Markdown, HTML, and LaTeX.

- Vectors, Determinants, and Planes
- Matrices and Systems of Equations
- Parametric Equations for Curves

- Limits and Continuity
- Derivatives
- [3-1 + 3-2] Definition of the Derivative
- [3-3] Differentiation Rules
- [3-4] Rates of Change
- [3-5] Derivatives of Trigonometric Functions
- [3-5-5] The Squeeze Theorem and Limits of Composite Functions
- [3-6] The Chain Rule
- [3-8] Derivatives of Inverse Functions
- [3-9] Derivatives of Exponential and Logarithmic Functions

- Applications of Derivatives

- The Definite Integral
- [5-1] Estimating with Finite Sums
- [5-2] Riemann Sums and Definite Integrals
- [5-5] The Trapezoidal Rule
- [5-3] Definite Integrals and Antiderivatives
- [5-4] Fundamental Theorem of Calculus
- [5-6] The Indefinite Integral
- [5-7] Implicit Differentiation and Separation of Variables

- [current unit] Antidifferentiation and Mathematical Modeling
- [6-1] Slope Fields and Euler's Method
- [6-2] Antidifferentiation by Substitution
- [6-3] Antidifferentiation by Parts
- [6-4] Antidifferentiation by Trigonometric Identities
- [6-5] Growth and Decay

- [also current unit] Applications of Definite Integrals
- [?-?] L'Hopital's Rule

- [bc unit] Sequences and Improper Integrals

- Functions and Graphs
- Intro to Functions
- Properties of Functions
- Absolute Value and Piecewise
- Transformations of Functions

- Polynomial, Power, and Rational Functions
- Linear and Quadratic Functions
- Power Functions
- Graphing Rational Functions
- Division and Finding All Zeros
- Higher Degree Polynomials
- Simplifying and Solving Rational Expressions

- Exponential, Logistic, and Logarithmic Functions
- Logarithmic Functions
- Solving Exponential and Logs
- Solving Non Simple Exponential Functions
- Applications of Exponential, Logarithmic, and Logistic Functions

- Trigonometric Functions
- Angles and Arc Length
- Graphs of Tangent and Reciprocal Functions
- Right Triangle Trigonometry
- Solving Trig Equations
- Inverse Trig Functions

- Trigonometric Identities (Analytic Trigonometry)
- Fundamental Trig Identities
- Prove Trig Identities
- Sum and Difference Identities
- Law of Sines and Cosines
- Multiple Angle Identities

- Vectors, Parametric, and Polar Equations (Applications of Trigonometry)
- Systems of Matrices
- Analytic Geometry (in Two and Three Dimensions)
- Discrete Mathematics
- Intro to Calculus