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    CLEP Test Prep

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    • College Mathematics
      1
      • Lecture1.1
        College Mathematics Course Structure

      College Mathematics Course Structure

      ALGEBRA and FUNCTIONS: 20%

      • Solving equations, linear inequalities, and systems of linear equations by analytic and graphical methods
      • Interpretation, representation, and evaluation of functions: numerical, graphical, symbolic, and descriptive methods
      • Graphs of functions: translations, horizontal and vertical reflections, and symmetry about the x-axis, the y-axis, and the origin
      • Linear and exponential growth
      • Applications

      COUNTING and PROBABILITY: 10%

      • Counting problems: the multiplication rule, combinations, and permutations
      • Probability: union, intersections, independent events, mutually exclusive events, complimentary events, conditional probabilities, and expected value
      • Applications

      DATA ANALYSIS and STATISTICS: 15%

      • Data interpretation and representation: tables, bar graphs, line graphs, circle graphs, pie charts, scatterplots, and histograms
      • Numerical summaries of data: mean(average), median, mode, and range
      • Standard deviation, normal distribution (conceptual questions only)
      • Applications

      FINANCIAL MATHEMATICS: 20%

      • Percents, percent change, markups, discounts, taxes, profit, and loss
      • Interest: simple, compound, continuous interest, effective interest rate, effective annual yield or annual percentage rate (APR)
      • Present value and future value
      • Applications

      GEOMETRY: 10%

      • Properties of triangles and quadrilaterals; perimeter, area, similarity, and the Pythagorean theorem
      • Parallel and perpendicular lines
      • Properties of circles: circumference, area, central angles, inscribed angles, and sectors
      • Applications

      LOGIC and SETS: 15%

      • Logical operations and statements: conditional statements, conjunctions, disjunctions, negations, hypotheses, logical conclusions, converses, inverses, counterexamples, contrapositives, logical equivalence
      • Set relationships, subsets, disjoint sets, equality of sets, and Venn diagrams
      • Operations on sets: union, intersections, and complement
      • Applications

      NUMBERS: 10%

      • Properties of numbers and their operations: integers and rational, irrational, and real numbers (including recognizing rational and irrational numbers)
      • Elementary number theory: factors and divisibility, primes and composites, odd and even integers, and the fundamental theorem of arithmetic
      • Measurement: unit conversion, scientific notation, and numerical precision
      • Absolute value
      • Applications

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