PRE-CALCULUS HONORS KHAN ACADEMY PRACTICE MODULES
VECTORS
MATRICES
- Matrix dimensions
- Representing relationships with matrices
- Scalar matrix multiplication
- Matrix addition and subtraction
- Matrix transpose
- Multiplying a matrix by a matrix
- Multiplying a matrix by a vector
- Defined and undefined matrix operation
- Properties of matrix multiplication
- Zero and identity matrices
- Geometric transformations with matrix multiplication
- Determinant of a 2x2 matrix
- Determinant of a 3x3 matrix
IMAGINARY AND COMPLEX NUMBERS
- Imaginary unit powers
- The imaginary unit and complex numbers
- The complex plane
- Adding and subtracting complex numbers
- Complex plane operations
- Distance and midpoint on the complex plane
- Equivalent forms of expressions with complex numbers
- Multiplying complex numbers
- Dividing complex numbers
- Absolute value of complex numbers
- Complex number form polar intuition
- Rectangular and polar forms of complex numbers
- Multiplying and dividing complex numbers in polar form
- Powers of complex numbers
HYPERBOLIC FUNCTIONS