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Syllabus: [pdf]

Free download of the course textbook ("download a PDF" to see homework problems)

__Previous course materials__

Spring 2018 (Fairmont)

Fall 2018 (Fairmont)

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 26 August*) (solution: [pdf]): Section 2.2: #6, 8, 9, 10, 11, 14, 15, ~~23~~, ~~27~~, 55; Section 2.5 (*note: ok to use quadratic formula anytime*): #10, 11, 12, 13, 14, 38, 39; Section 3.1: #68, 70, 71, 74; ~~Section 3.5: #27, 28, 29, 30; Section 7.1: #22, 28, 29, 30, 32, 36, 37, 38, 39, 41, ~~*and the following problem*:

*Problem A*: Find the radius of a circle in which an angle of $72^{\circ}$ subtends an arc of length 2.

**Homework 2** (*due 4 September*) (solution: [pdf]): Section 3.5: #27, 28, 29, 30; Section 7.1: #22, 28, 29, 30, 32, 36, 37, 38, 39, 41; ~~Section 7.2: #7, 8, 11, 14, 17, 18, 20, 21, 29, 30, 34, 35, 46, 47, 48, 50, 51~~, *and the following problem*:

*Problem A*: Find the radius of a circle for which an angle of $72^{\circ}$ subtends an arc of length 2.

**Homework 3** (*due 9 September*) (solution: [pdf]): Section 7.2: #7, 8, 11, 14, 17, 18, 20, 21, 29, 30, ~~34, 35, 46, 47, 48, 50, 51, 54, 55; Section 7.3: #11, 12, 16, 17, 19, 20, 24, 25, 29, 30, 31, 32, 46, 47, 48, 50, 51, 70, 71, 82, 83, 87, 88~~

**Homework 4** (*due 16 September*) (solution: [pdf]): Section 7.2: #34, 35, 46, 47, 48, 50, 51, 54, 55; Section 7.3: #11, 12, 16, 17, 19, 20, 24, 25, 29, 30, 31, 32, 46, 47, 48, 50, 51, 70, 71, 82, 83, 87, 88

**Homework 5** (*due 30 September*) (solution: [pdf]): Section 7.4: #8, 9, 11, 17, 18, 23, 24, 39, 72, 76 (note: on #18-#24, can just use unit circle instead of reference angles); Section 8.1: #6, 10, 13, 14, 17, 19, 22; ~~Section 8.2: #22, 25, 33, 34~~ (note: on all graphing problems, plotting 1 whole period is ok, you need to label "everything" as was done in class)

**Homework 6** (*due 7 October*) (solution: [pdf): Section 8.1: #24, 25; Section 8.2: #22, 25, 26, 45; ~~Section 8.3: #9, 10, 11, 15, 18, 20, 24, 25, 27, 28, 32, 35, 38, 40, 53, 54, 57, 58, 62 (note: on all graphing problems, plotting 1 whole period is ok, you need to label "everything" as was done in class)~~

**Homework 7** (*due 14 October*) (solution: [pdf]): Section 8.3: #9, 10, 11, 15, 18, 20, 24, 25, 27, 28, 32, 35, 38, 40~~, 53, 54, 57, 58, 62; Section 9.1: #5, 7, 8, 13, 16, 17, 29, 30, 31, 32, 33, 34, 37; Section 9.2: #5, 7, 11, 12, 14, 16, 18, 20, 21, 22, 23, 24, 47, 51~~

**Homework 8** (*due 23 October*) (solution: [pdf]): Section 9.1: #5, 7, 8, 13, 16, 17, 29, 30, 31, 32, 33, ~~34, 37~~

**Homework 9** (*due 30 October*) (solution: [pdf]): Section 9.2: #5, 7, 8, 10, 13, 14, 16, 21, 24, ~~49, 50, 51; Section 9.3: #5, 8, 11, 14, 15, 17, 21, 22, 25, 26, 34, 36, 55, 58, 59~~

**Homework 10** (*due 4 November*) (solution: [pdf]): Section 9.2: #49, 50, 51; Section 9.3: #5, 8, 11, 14, 15, 17, 21, 22, 25, 26, 34, 36, 55, 58, 59

**Homework 11** (*due 13 November*) (solution: [pdf]): Section 9.5: #4, 6, 7, 16, 17, 19, 22, 24, 25, 36; Section 10.1: #11, 12, 14, 15, 20, 21, 23; ~~Section 10.2: #13, 15, 16, 22, 23, 24, 25~~

**Homework 12** (*due 18 November*) (solution: [pdf]): Section 10.2: #13, 16, 22, 23, 25; Section 10.8: #9, 11, 18, ~~29, 31, 33, 34~~

**Homework 13** (*due 9 December (**day of the final!*)) (solution: [pdf]): Section 10.8: #29, 31, ~~33, 34, 56~~, 57, 60, 61, 64

__Quizzes__

**Quiz 1** (*due 28 August*) (solution): Use the transformation method to plot $f(x)=2(x-1)^3$.

**Quiz 2** (*due 13 September*) (solution): Use the unit circle to compute $\sin \left( \dfrac{\pi}{6} \right)$ and $\cos \left( \dfrac{\pi}{2} \right)$.

**Quiz 3** (*due 30 September*) (solution): Draw $y=\sin(\pi(x-2))$.

**Quiz 4** (*due 7 October*) (solution): Draw a picture of the function $\left\{ \begin{array}{ll}
f \colon [0,1] \rightarrow [0,1] \\
f(x)=x^2
\end{array} \right.$.

**Quiz 5** (**due 7 October**) (solution): Draw a picture of the function $\left\{ \begin{array}{ll}
g \colon [-1,1] \rightarrow \mathbb{R} \\
g(x)=x^2
\end{array} \right.$

**Quiz 6** (*due 9 October*) (solution): Compute $\sin^{-1}(0)$.

**Quiz 7** (*due 25 October*) (*graded 25 October*): Compute $\sin\left( \dfrac{\pi}{4} + \dfrac{2\pi}{3} \right)$.

**Quiz 8** (*due 1 November*) (solution): Compute $\tan\left( \dfrac{9\pi}{8} \right)$.

**Quiz 9** (*due 6 November*) (solution): Solve $2\sin(\theta)=-1$ for $\theta$ in the interval $[0,2\pi)$.

**Quiz 10** (*due 4 December*) (solution): Find the magnitude and direction of the vector $\langle -1,2 \rangle$.

__Other__

Clarification on the order to apply transformations when plotting