Algebra and Functions Algebra and Functions
20%
- 1Solving equations, linear inequalities, and systems of linear equations by analytic and graphical methods
- 2Interpretation, representation, and evaluation of functions: numerical, graphical, symbolic, and descriptive methods
- 3Graphs of functions: translations, horizontal and vertical reflections, and symmetry about the x-axis, the y-axis, and the origin
- 4Linear and exponential growth
- 5Applications
Counting and Probability Counting and Probability
10%
- 1Counting problems: the multiplication rule, combinations, and permutations
- 2Probability: union, intersection, independent events, mutually exclusive events, complementary events, conditional probabilities, and expected value
- 3Applications
Data Analysis and Statistics Data Analysis and Statistics
15%
- 1Data interpretation and representation: tables, bar graphs, line graphs, circle graphs, pie charts, scatterplots, and histograms
- 2Numerical summaries of data: mean (average), median, mode, and range
- 3Standard deviation and normal distribution (conceptual questions only)
- 4Applications
Financial Mathematics Financial Mathematics
20%
- 1Percents, percent change, markups, discounts, taxes, profit, and loss
- 2Interest: simple, compound, continuous interest, effective interest rate, effective annual yield or annual percentage rate (APR)
- 3Present value and future value
- 4Applications
Logic and Sets Logic and Sets
15%
- 1Logical operations and statements: conditional statements, conjunctions, disjunctions, negations, hypotheses, logical conclusions, converses, inverses, counterexamples, contrapositives, and logical equivalence
- 2Set relationships, subsets, disjoint sets, equality of sets, and Venn diagrams
- 3Operations on sets: union, intersection, and complement
- 4Applications