Syllabus: [pdf] [tex]

__Previous course materials__

Fall 2017 (Fairmont)

Fall 2016 (Fairmont)

Spring 2011 (Marshall)

Spring 2010 (Marshall)

__Exams__

**Exam 1** [pdf] [tex]

**Exam 2** [pdf] [tex]

**Exam 3** [pdf] [tex]

__Homework__

**Homework 1** (*due 23 January*) (solution): Section 2.2: #6, 7, 8, 55; Section 2.5: #6, 7, 8, 9, 19, 20, 38, 39, 40; Section 3.5: #27, 28, 29, 30; Section 7.1: #8, 9, 10, 11, 12, ~~24, 25, 27, 28, 31, 32, 34, 35, 38, 39, 40, 43~~

**Homework 2** (*due 30 January*) (solution): Section 7.1: #24, 25, 27, 28, 31, 32, 34, 35, 38, 39, 40, 43; Section 7.2: #6, 7, 11, 12, 17, 18, 19, 20, 30, 31, 35, 36, 48, 49, 50, 51, 53; ~~Section 7.3: #6, 7, 11, 12, 13, 14, 24, 25, 26, 27, 39, 40, 41, 42~~

**Homework 3** (*due 8 February*) (solution): Section 7.3: #19, 20, 21, 24, 29, 30, 31, 32, 43, 44, 45, 46, 52, 53, 70, 71, 80, 81, 87, 88

**Homework 4** (*due 22 February*) (solution): Section 8.1: #8, 10, 12, 14, 18, 20, 23; Section 8.2: #23, 29, 33, 41, 42 (note: on all graphing problems, plotting 1 whole period is ok, you need to label "everything" as was done in class)

**Homework 5** (*due 1 March*) (solution): Section 8.3: #8, 9, 11, 13, 18, 19, 25, 26, 28, 29, 37, 40, 53, 32, 35, 54, 55, 57, 59, 62

**Homework 6** (*due 6 March*) (solution): Section 9.1: #5, 7, 8, 13, 16, 17, 31, 32

**Homework 7** (*due 27 March*) (solution and solution to Problem A): Section 9.1: #29, 30, 33, 34, 37; Section 9.2: #5, 7, 11, 12, 14, 16, 18, 20, 21, 22, 23, 24, 47, 51 and the following additional problem:

**Problem A**: Compute $\cos\left(\sin^{-1}\left(\dfrac{1}{4} \right) + \tan^{-1} \left( -\dfrac{1}{7} \right) \right)$.

**Homework 8** (*due 3 April*) (solution): Section 9.3: #5, 7, 11, 13, 15, 19, 21, ~~24, 27, 28, 33, 34, 39, 40, 55, 58~~ and the following additional problem:

**Problem A**: The so-called Chebyshev polynomials (of the second kind), denoted by $U_n(x)$, are a special set of polynomials defined by the formula
$$U_n(x)=\dfrac{\sin(n+1) \cos^{-1}(x)}{\sin(\cos^{-1}(x))}.$$
Compute $U_1(x)$ and $U_2(x)$.

(*hint: to find, for example, $U_2(x)$, set $n=2$ in the definition and then expand using the sum identity for sine and the double angle identity for sine, as appropriate*)

**Homework 9** (*due 10 April*) (solution): Section 9.3: #24, 27, 28, 33, 34, 39, 40, 55, 58

**Homework 10** (*due 19 April*) (solution): Section 9.5: #4, 6, 7, 16, 17, 19, 22, 24, 25, 36, and the following additional problem:

**Problem A**: Find the general solution to $\cos(t)=-\dfrac{\sqrt{3}}{2}$.

**Homework 11** (*due 26 April*) (solution): Section 10.1: #11, 12, 14, 15, 20, 21, 23; Section 10.2: #13, 15, 16, 22, 23, 24, 25

**Homework 12** (*due by last day of class*) (solution): Section 10.3: #7, 8, 10, 11, 12, 14; Section 10.8: #9, 11, 17, 18, 29, 31, 33, 34

__Quizzes__

**Quiz 1**: [png]

**Quiz 2**: [solution]

**Quiz 3** - draw the unit circle

**Quiz 4**: [solution]

__Notes__

Solution to Section 7.2 #11: [pdf]