Assignments

Topic	Exercises
1.1 Unit Circle	OSP 5.2 #35-63 odd; OSP 5.3 #19, 21, 49, 51
1.2 Graphs of Trig Functions	OSP 6.1 #11-25 odd; OSP 6.2 #6-9, 19, 21, 25, 31, 37
1.3 Inverse Trig Functions	OSP 6.3 #9-15 odd, 25, 31-35 odd
1.4 Trig Word Problems	OSP 6.3 #53-61 odd; OSP 6.1 #48
2.1 Identities	OSP 7.1 #5-15 odd, 29-41 odd
2.2 Sum/Difference Identities	OSP 7.2 #5-25 odd
2.3 Multiple Angle Identities	OSP 7.3 # 5-17 odd, 31-35 odd, 39, 59
2.4 Law of Sines/Cosines	OSP 8.1 # 7, 9, 15, 17, 31, 33 OSP 8.2 #7, 9, 21
3.1-3.2 Vectors and Dot Product	OSP 8.8 # 1-53 odd (#33-35: also find angle between vectors)
3.3 Parametric Equations	OSP 8.6 # 7, 9, 39, 41 OSP 8.7 do Example 5, # 13, 17, 45 (also do with center at (3,4)), 63 (ignore instructions, find max height and max distance), 65-69 odd
3.4 Polar Coordinates	OSP 8.3 # 7-15 odd, 41-43 odd (find all polar coordinates), 45-53 odd
3.5 Polar Graphs	OSP 8.3 # 17, 21, 29-39 odd, OSP 8.4 # (graph and analyze) 7, 9, 11, 17, 27, 39
3.6 Linear Systems	OSP 9.6 # 19, 23, 43, 47
3.7 Matrices	OSP 9.5 # 1-29 odd, 41-45 odd
3.8 Matrix inverses, determinants	OSP 9.7 # 7-17 odd, 27, 29, handout problems, OSP 9.8 # 5, 7, 9, 17, 21
Unit 3 Review exercises	OSP Ch8 Review Exercises # 7-21 odd, 23-27 odd (analyze graphs), 47, 53-63 odd, OSP Ch9 Review Exercises # 5 (also solve with matrix inverse), 39-49 odd, 57, 61, 65
4.1 Function properties	handout problems, SZ1.6 # 42-73 (Stitz-Zeager Precalculus)
4.2 Function operations	SZ1.5 (Function Arithmetic) # 11, 19; SZ1.7 (Transformations) # 19-37, also graph |f(x)|, f(|x|), f(-|x|); SZ5.1 (Function Composition) # 13, 15; SZ5.2 (Inverse Functions) # 1-9 odd
4.3 Polynomials	OSP 3.4 # 43-61 odd OSP 3.5 # 3, 5, 7 (repeat with synthetic division) OSP 3.6 # 7, 9, 15, 17
4.4 More Polynomials	OSP 3.6 # 29, 33, 37
4.5 Fundamental Theorem of Algebra	OSP 3.1 # 5-43 odd OSP 3.6 For all three of these exercises, find the complete factorizations over both real and complex numbers. # 41 (2 is a root), 43 (-2/3 is a root), 45 (1-4i is a root)
4.6 Rational functions	OSP 3.7 # 11-19 odd, 31 (sketch a graph for all)
Unit 4 Review exercises	OSP Ch3 Review Exercises # 1-5 odd, 13-33 odd, 37-41 odd
5.1 Parabolas	OSP 10.3 # 31-41 odd, 45, 47, 51, 53
5.2 Ellipses	OSP 10.1 # 33-43 odd, 47, 49, 53, 55
5.3 Hyperbolas	OSP 10.2 # 31-39 odd, 45, 47, 51, 53
6.1 Combinatorics	handout problems; optional extra practice: OSP 11.5 # 7-29 odd
6.2 Binomial theorem	OSP 11.6 # 5-9 odd, 13-35 odd
6.3 Probability	OSP 11.7 # 7-45 odd
6.4 More Probability	OSP 11.7 # 18-25 all (twice: once with a fair coin, and once with a coin with P(heads) = .75), 47-59 odd
6.5 Sequences	OSP 11.1 # 7-17 odd, OSP 11.2 # 11-15 odd, 19, 29, 31, 43, 45, OSP 11.3 # 7, 15, 17, 25, 35
6.6 Series	OSP 11.4 # 7-25 odd, 31-45 odd
Unit 6 Review exercises	OSP Ch11 Review Exercises # 1-57 odd
7.1 Exponential / logarithm	OSC1 1.5 # 233-238 all, 239-297 odd, 299 and 307 (do these two twice: with base 2 and base e)
8.1 Limits	OSC1 2.2 # 47-75 odd; OSC1 2.3 # 83-101 odd, 115, 117
8.2 Continuity	OSC1 2.4 # 131-149 odd, 155, OSC1 3.1 # 1-9 odd
8.3 The Derivative	OSC1 3.1 # 11-15 odd, 23, 41, 43, 47, 51, OSC1 3.2 # 55-67 odd
8.4 Differentiation rules	OSC1 3.3 # 107, 109, 113, 115, 117, 123, 133, 135, 137, 139, 143
8.5 Rates of change	OSC1 3.4 # 151-159 odd
8.6 Trig functions	OSC1 3.5 # 175, 177, 185, 187, 191, 193, 205-208, 209, 211
Unit 8 Review exercises	OSC1 Ch2 Review # 213-223 odd, 227, 231; OSC1 Ch3 Review # 371, 373, 377, 387
9.1 Chain Rule	OSC1 3.6 # 221-237 odd
9.2 Implicit differentiation	OSC1 3.8 # 301-309 odd
9.3 Exp/log	OSC1 3.9 # 331-345 odd
9.4 Inverse trig functions	OSC1 3.7 first derive the formulas for \(\sin^{-1}\) and \(\tan^{-1}\), then # 279, 283, 285
Unit 9 Review exercises	OSC1 Ch3 Review # 367-391 odd
10.1 Extreme values	OSC1 4.3 # 101, 103, 111, 113, 119-129 odd
10.2 Mean value theorem	OSC1 4.4 # 157, 159, 167-183 odd, 193; Find all antiderivatives of: \(1, x, x^2, \cos x, \sin x, e^x\)
10.3 Extreme value tests	OSC1 4.5 # 201, 203, 221, 225-231 odd, 235
10.4 Optimization	OSC1 4.7 # 317, 319, 321, 337, 341
10.5 Linearization	OSC1 4.2 # 51-67 odd
Unit 10 Review exercises	OSC1 Ch4 Review #525-537 odd, 545