Last modified 15 July 2003 by jdavis@math.wisc.edu

Approximate Syllabus for Math 113

The problems assigned here are subject to change. Check back often.

SectionTopicProblems
1.1Aangles2, 4, 6, 10, 12, 14, 16
1.1Bangles2, 4, 20, 24, 26, 34, 36, 38
1.2arcs, sectors2, 4, 14
1.3circular motion12, 14, 18, 24
2.1trig functions2, 4, 6, 8, 10, 12
2.2values of trig functions2, 4, 20, 24
2.3trig for right triangles10, 12
2.4solving right triangles2, 4
2.5applications4, 5, 9, page 75 #22
2.6circular functions
5.1fundamental formulae48, 56, 70
5.2opposite angles4, 19, 41, 63
5.3additional techniques26
3.1graphing sin, cos18, 20, 28, 34
3.2graphing16, 18, 32, 34
3.3graphing tangraph y = tan(2x), y = tan(x/2), y = tan(1/2)
first exam covers material up to here
4.1functions, inverses
4.2Ainverse trig functions14, 16, 18, 20
4.2Binverse trig functions2, 4, 8
6.1sum formula for cos, sin2, 4, 16, 18, 24, 26, 36
6.3sum formula for tan4, 8, 10
7.1double-angle formulae2, 6, 10, 12, 14, 16, 18, 20, 30, 34
7.2half-angle formulae21, 35, 36, 37, 38, 39, 40, 54
7.3rewriting sums and products
8.1trig equations4, 10, 20, 24
8.2trig equations2, 22, 30
8.3trig equations8, 14
8.4trig equations14, 26
8.5applications
9.1law of sines2, 10
9.2ambiguous case1, 3, 8, 9, 18
9.3applications page 305 #14
9.4law of cosines2, 8, 16, 18
9.5Aapplications2, 8, 19, page 305 #12
9.5Bapplications
second exam covers material up to here
10.1vectors4, 11, page 337 #17
10.2geometry of vectors1, 4, 8
10.3algebra of vectors2, 4, 14, 16, 18, 20
10.4dot product6, 8, 10, 13, 15, 16, 22, 23
more on vectors?
11.1complex numbers2, 4, 9, 18, 24, 26, 34
11.2polar representation14, 16, 18, 20, 38, 40
11.3DeMoivre's theorem15, 23, 27, 31
more on complex numbers?
final exam covers everything