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
