MATH 122 (PRECALC II) -- Winter 2011
Topics Covered:
Trigonometric Functions:
Basic definitions, domains, ranges, special angles, circular functions,
graphing, the inverse functions, right angle trigonometry (6 lectures).
Trigonometric Identities and Conditional Equations:
Basic identities, sum & difference identities, double-angle and half-
angle identities, equations (5 lectures).
Additional Topics & Applications:
Law of sines, law of cosines, complex numbers, De Moivre's
Theorem, polar equations (4 lectures).
Systems of Equations:
Basic systems in two and three variables, using matrices, determinants,
Cramer's Rule (6+ lectures).
Sequences and Series:
Mathematical induction, arithmetic and geometric sequences, the Binomial
Theorem (4+ lectures).
WRITING UP HOMEWORK SOLUTIONS: You are expected to show
all essential steps in solving a problem. Draw appropriate figures. If
in doubt, PUT IT IN! Make your solution flow. Ask yourself the
question: "If I were the reader, how would I score this problem?''
Numerical answers alone, single words "yes" or "no", etc., are NEVER,
EVER acceptable as complete answers. One of the skills you are expected
to learn in this class is that of communicating mathematics clearly
and completely in writing. Writing up homework exercises is
your opportunity to hone these skills. Your grade depends on it!
Written HomeWork Sets:
1. p.431: 52,102; p.444: 34; p.459:38,66
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