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Functions- Precalculus
- Continuity
- Extrema, intervals of increase and decrease
- Power functions
- Average rates of change
- Transformations of graphs
- Piecewise functions
- Operations
- Inverses
01 – Average Rates of Change- learn precalculus
01 – Continuity – learn precalculus
01 – Extrema, Increase and Decrease
01 – Function Inverses – learn precalculus
01 – Function Operations – learn precalculus
01 – Piecewise Functions – learn precalculus
01 – Power Functions – learn precalculus
01 – Transformations of Graphs – learn precalculus
Polynomial and Rational Functions
- Graphs, real zeros, and end behavior
- Dividing polynomial functions
- The Remainder Theorem and bounds of real zeros
- Writing polynomial functions and conjugate roots
- Complex zeros & Fundamental Theorem of Algebra
- Graphs of rational functions
- Rational equations
- Polynomial inequalities
- Rational inequalities
02 – Dividing Polynomials – learn precalculus
02 – Graphs of Polynomial Functions
02 – Graphs of Rational Functions Free PDF
02 – Polynomial Inequalities Free PDF
02 – Polynomials and Conjugate Roots
02 – Rational Equations – learn precalculus
02 – Rational Inequalities – learn precalculus
02 – The Fundamental Theorem of Algebra
02 – The Remainder Theorem and Bounds
Exponential and Logarithmic Expressions
- Graphing exponential functions
- Exponential equations not requiring logarithms
- Exponents and logarithms
- Evaluating logarithms
- Logarithms and exponents as inverses
- Properties of logarithms
- Writing logs in terms of others
- Exponential equations requiring logarithms
- Logarithmic equations, simple
- Logarithmic equations, hard
- Graphing logarithmic functions
- Compound interest
03 – Compound Interest – Precalculus lesson
03 – Exponential Equations No Logs Free PDF
03 – Exponential Equations With Logarithms
03 – Exponents and Logarithms PDF
03 – Graphing Exponential Functions PDF
03 – Graphing Logarithms – Precalculus lesson
03 – Inverses of Logarithms Free PDF
03 – Logarithmic Equations Hard – Precalculus lesson
03 – Logarithmic Equations Simple Free PDF
03 – Properties of Logarithms Free PDF
03 – Writing Logs in Terms of Others Free PDF
Trigonometry
- Angles and angle measure
- Right triangle trigonometry
- Trig functions of any angle
- Graphing trig functions
- Simple trig equations
- Inverse trig functions
- Fundamental identities
- Equations with factoring and fundamental identities
- Sum and Difference Identities
- Multiple-Angle Identities
- Product-to-Sum Identities
- Equations and Multiple-Angle Identities
- The Law of Sines
- The Law of Cosines
04 – Angles and Angle Measure Free PDF
04 – Equations and Multiple-Angle Identities
04 – Fundamental Trig Identities Free PDF
04 – Graphs of Trig Functions
04 – Inverse Trig Functions – Precalculus lesson
04 – Multiple-Angle Identities
04 – Product-to-Sum Identities
04 – Right Triangle Trigonometry
04 – Simple Trig Equations – Precalculus lesson
04 – Sum and Difference Identities
04 – The Law of Cosines – Precalculus lesson
04 – The Law of Sines – Precalculus lesson
04 – Trig Equations w Factoring + Fundamental Identities
04 – Trig Ratios of Any Angle – Precalculus lesson
Parametric Equations
- Parametric equations
- Projectile motion
- Polar Coordinates- Precalculus
- Polar coordinates
- Graphs of polar equations
- Polar and rectangular forms of equations
- Polar forms of conic section
- Complex numbers and polar form
05 – Parametric Equations – Precalculus lesson
05 – Projectile Motion – Precalculus lesson
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Vectors- Precalculus
- Vector basics
- Vector operations
- Dot products
07 – Dot Products – Mathematics precalculus
07 – Vector Basics – Mathematics precalculus
07 – Vector Operations – Mathematics precalculus
Three Dimensional Vectors
- 3D vector basics
- 3D vector operations
- Vector cross products
08 – 3D Vector Basics – Mathematics precalculus
08 – 3D Vector Operations – Mathematics precalculus
08 – Vector Cross Products – Mathematics precalculus
Matrices and Systems
- Matrix operations
- Matrix inverses and determinants
- Matrix equations
- Cramer’s Rule
- Multivariable linear systems and row operations
- Partial fraction decomposition
09 – Cramer’s Rule – Mathematics precalculus
09 – Matrix Equations – Mathematics precalculus
09 – Matrix Inverses and Determinants
09 – Matrix Operations – Mathematics precalculus
09 – Partial Fraction Decomposition PDF
09 – Systems and Row Operations Free PDF
Conic Sections
- Parabolas
- Circles
- Ellipses
- Hyperbolas
- Rotations of conic sections
10 – Circles – Mathematics precalculus
10 – Ellipses – Mathematics precalculus
10 – Hyperbolas – Mathematics precalculus
10 – Parabolas – Mathematics precalculus
Discrete Mathematics
- Sample spaces & Fundamental Counting Principle
- Permutations
- Combinations
- Permutations vs combinations
- The Binomial Theorem
- Mathematical induction
11 – Combinations – Math worksheets
11 – Induction – Math worksheets
11 – Induction – Math worksheets
11 – Samples Spaces and the Fundamental Counting Principle
11 – The Binomial Theorem
Probability
- Independent and dependent events
- Mutually exclusive events
- Probability with combinatorics
- Probability with combinatorics – binomial
12 – Independent and Dependent Events
12 – Mutually Exclusive Events
12 – Probability with Combinatorics – Binomial
12 – Probability with Combinatorics
Sequences and Series
- General sequences and series
- Arithmetic sequences and series
- Geometric sequences and series
- Power series
13 – Arithmetic Sequences and Series
13 – Geometric Sequences and Series
13 – Power Series – Math worksheets
13 – Sequences and Series – Math worksheets
Introduction to Calculus
- Limits by direct evaluation
- Limits at kinks and jumps
- Limits at removable discontinuities
- Limits at essential discontinuities
- Limits at infinity
- Definition of the derivative
- Instantaneous rates of change
- Power rule for differentiation
- Motion along a line
- Approximating area under a curve
- Area under a curve by limit of sums
- Indefinite integrals
14 – Approximating Area Under a Curve
14 – Area Under a Curve Using Limits of Sums
14 – Definition of the Derivative
14 – Indefinite Integrals – Math worksheets
14 – Instantaneous Rates of Change
14 – Limits at Essential Discontinuities
14 – Limits at Infinity – Math worksheets
14 – Limits at Jump Discontinuities and Kinks
14 – Limits at Removable Discontinuities
14 – Limits by Direct Evaluation
14 – Motion Along a Line – Math worksheets
14 – Power Rule – Math worksheets
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