1. NUMBERS & QUANTITY

- Operations with Integers, Fractions, Mixed Numbers, Decimals, Powers, and Roots
- Comparing Integers, Fractions, Mixed Numbers, Decimals, Powers and Roots
- Converting Fractions, Mixed Numbers, Decimals, and Percentages
- Scientific notation

2. COMPLEX NUMBERS

- Operations with complex numbers
- Finding Absolute value, Complex conjugate, Real and Imaginary parts
- Converting complex numbers between Standard and Polar form
- Equations with Complex numbers

3. EQUATIONS & INEQUALITIES

- Linear, Quadratic, Exponential, Logarithmic, Rational, Radical (Irrational), Trigonometric, Absolute value equations
- Linear, Quadratic, Exponential, Logarithmic, Rational, Radical (Irrational), Absolute value inequalities
- Systems of Linear, Quadratic, Exponential, Logarithmic, Rational, Radical (Irrational), Absolute value equations
- Compound Equations and Inequalities
- Rewriting inequalities to set-builder or interval notation
- Literal and Parametric equations

4. FUNCTIONS

- Graphs of Linear, Quadratic, Exponential, Logarithmic, Rational, Radical (Irrational), Trigonometric, and Absolute value functions
- Finding Domain, Extrema, Inflection points, Asymptotes
- Determining Even, Odd, or neither
- x- and y-intercepts
- Various transformations (standard form, implicit form, explicit form)
- Converting between rectangular, polar, spherical, cylindrical coordinates
- Finding inverse functions
- Testing for symmetry
- Axis of symmetry
- Tangent lines

5. ALGEBRA

- Simplifying, Factoring, and Evaluating Algebraic expressions
- Simplifying Algebraic fractions and Partial-fraction decomposition
- Polynomial Division
- Binomial theorem, Factorials, Equations with factorials
- Combinations, Permutations, and Variations
- Matrices and Matrix equations
- Determinants
- Mathematical Induction

6. TRIGONOMETRY & ANGLES

- Converting angles between degrees and radians
- Converting angles between decimal and DMS form
- Finding Coterminal angles
- Period of trigonometric functions
- Verifying trigonometric identities

7. SEQUENCES

- Identifying Arithmetic and Geometric sequences
- Sum of Arithmetic and Geometric sequences
- Rewriting in Recursive or Explicit form
- Various tests for Convergence or Divergence

8. CALCULUS

- Limits
- Derivatives (various methods)
- Integrals
- Area below a curve
- Identifying Conics
- Rotations of Conics
- Parametrization of Curves
- Identifying quadratic surfaces
- Rewriting Functions as Power Series
- Differential equations

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