Exam topics

AMP Intensive Precalculus, Summer 2000

The exam will be given on **Fri Jul 20**. Prizes will be given both
for the highest score and also for the most improved score (as
compared to the first day diagnostic exam).

**Algebra.**Rules of exponents (workbook 1). Multiplying (FOIL) and factoring (workbook 2-3). Simplifying, combining, and separating fractions of polynomials (workbook 4). Other manipulation, including completing the square (workbook 5). Solving linear, fractional, radical, and exponential equations; solving equations by factoring; quadratic formula (workbook 7). Inequalities: determining when an expression is*+*,*-*,*0*, undef; solving other kinds of inequalities (workbook 8). Absolute values: algebraic and geometric methods (purple pp. 10-12, 77-78).**Trigonometry.**Angles (purple 6.1). SOHCAHTOA trig: definitions, solving triangles (purple 6.2). Unit circle trig: definitions, calculating values (purple 5.1-5.2). Graphs of*sin*and*cos*: amplitude, period, phase shift, applying these to graphing (purple 5.3). Trig identities:*cos*, double angle formulas (purple 7.1, 7.3).^{2}x+sin^{2}x=1**Exponential and log functions.**Definition of exponential functions; basic graphs;*e*(purple 4.1-4.2). Definition and laws of logarithms (purple 4.3-4.4). Simplifying log expressions (workbook 9). Story problems for exponential functions (purple 4.6).**Functions in general.**Function notation; translating sentences to functions, and vice versa; functions, solving and graphs (workbook 9-12). Composition and substitution; reverse composition (breaking a function into "inside" and "outside") (workbook 13, purple 2.6). Transformations and graphs; shifts and stretches (purple 2.4).**Other specific types of functions.**Lines: slope, slope-intercept, point-slope (purple 1.10). Polynomials: shapes of graphs, factoring higher degree polynomials (purple 3.1-3.2). Recognizing types of functions (workbook 14).**Memorization.**Common graphs of functions (workbook 15), formulas and important function values (workbook 16).

hsu@mathcs.sjsu.edu