Solving trigonometric equations using pythagorean identities
Solving trigonometric equations using sum and difference identities
Solving trigonometric equations using double-angle identities
Permutations and Combinations
Fundamental counting principle
Path counting problems
Permutation vs. Combination
Problems involving both permutations and combinations
Conics - Parabola
Conics - Ellipse
Conics - Circle
Conics - Hyperbola
Imaginary and Complex Numbers
Introduction to imaginary numbers
Complex numbers and complex planes
Adding and subtracting complex numbers
Multiplying and dividing complex numbers
Distance and midpoint of complex numbers
Angle and absolute value of complex numbers
Polar form of complex numbers
Operations on complex numbers in polar form
Introduction to vectors
Magnitude of a vector
Direction angle of a vector
Adding and subtracting vectors in component form
Operations on vectors in magnitude and direction form
Introduction to Matrices
Notation of matrices
Adding and subtracting matrices
Multiplying a matrix by a scalar
Multiplying a matrix by another matrix
The three types of matrix row operations
Representing a linear system as a matrix
Solving a linear system with matrices using Gaussian elimination
Properties of Matrices
Properties of matrix addition
Properties of matrix scalar multiplication
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