## List of Topics

- Measurement including SI and imperial units
- Surface area and volume of any composite objects
- Trigonometry (including sine, cosine and tangent ratios)
- Factoring (including common factor, binomial and trinomial factoring)
- Roots and Powers (including simplifying radicals and exponent laws)
- Relations and functions
- Linear functions (including slope‐intercept, slope‐point, and general form, as well as parallel and perpendicular line)
- Systems of linear equations (including graphing, substitution and elimination methods)

- Sequences and series (including arithmetic, geometric and infinite geometric)
- Trigonometry (including sine, cosine laws and angles in standard position)
- Quadratic functions and equations (including vertex form, standard form, solving quadratic equations and other related application )
- Radical operation and equations (including any simplifying, radical equation solving and related application )
- Rational expressions and equations (including simplifying rational expression, rational equations solving and related application )
- Absolute value and equations (including piece-‐wise function, absolute functions, equations and related application )
- System of equations (including linear-‐linear, linear-‐quadratic, and quadratic-‐quadratic )
- Linear and quadratic inequalities

- Transformation (including expansion/compression, reflection, and translation)
- Polynomial functions and equations (including behaviors of graphs, remainder, and factor theorem)
- Trigonometry (including ratios, equations, graphs, sinusoidal functions, application problems, identities, equations involving identities)
- Exponential functions and equations
- Logarithmic functions and equations (including laws of logarithmic, graphs, and solving equations)
- Function operations (including sum, differences, products, quotients and composite)
- Combinatorics (including permutation, combination, binomial theorem, pathway problems, and Pascal triangles)
- Statistics (including mean, median, standard deviation, mode, normal distribution, z-‐ score, approximation to binomial distribution, confidence interval)
- Probability (including basic probability question and conditional probability)
- Conics (including circle, ellipse, hyperbola equations)

- Evaluating limits using limit laws (including horizontal asymptotes)
- Determining derivative using definition of derivative
- Differential rules (including power rules, product rules, quotient rules, chain rules, trigonometric functions, logarithmic functions, implicit differential)
- Application of derivative (including exponential growth & decay, related rates, mean value theorem, curve sketching, extreme value theorem, Fermat’s theorem, Rolls’ theorem, concavity, critical numbers, inflection points, optimization, L’Hospital’s rules)

- Integral technique (including substation, integration by parts, trigonometry integration, trigonometry substation, partial fraction, approximate integral, improper integral)
- Area and volume (including area between two curves, cylinder shell and washer methods)
- Separable differential equations
- Infinite sequences and series (sequences, series, integral test, comparison test, alternating series, absolute convergence, the ratio and root test, power series)