Syllabus: [pdf] [tex]
Previous course materials
Spring 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 22 August) (solution): Section 2.2: #6, 7, 8, 9, 10, 15, 22, 26, 27; Section 2.5: #6, 7, 8, 9 (ok to use quadratic formula), 38, 39, 40, 41; Section 3.5: #27, 29, 30
Homework 2 (due 27 August) (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
Homework 3 (due 5 September) (solution): Section 7.2: #48, 49, 50, 51, 53; Section 7.3: #10, 12, 19, 20, 21, 24, 29, 30, 31, 32, 43, 44, 45, 46, 52, 53, 70, 71, 80, 81, 87, 88; Section 7.4: #10, 11, 12, 19, 20, 21, 38, 72, 75
Homework 4 (due 10 September) (solution): Section 8.1: #10, 12, 18, 20; Section 8.2: #23
Homework 5 (due 19 September) (solution): Section 8.1: #8, 14, 19; Section 8.2: #25, 29, 33 (note: on all graphing problems, plotting 1 whole period is ok, you need to label "everything" as was done in class)
Homework 6 (due 24 September) (solution): Section 8.3: #8, 9, 11, 13, 18, 20, 25, 26, 28, 29, 32, 35, 37, 40, 53, 54, 55, 57, 59, 62
Homework 7 (due 1 October) (solution): Section 8.3: #48, 49, 50, 51, 53, 54, 59, 62; Section 9.1: #11, 12, 15, 20, 21, 22, 29, 30, 32, 33, and the following problems: Problem A: Establish the identity $\dfrac{1-\sin^2(x)}{\cos(x)}=\cos(x)$; Problem B: Establish the identity $\dfrac{\sin^2(x)}{\cos(x)}=\sec(x)-\cos(x)$.; Problem C Establish the identity $\dfrac{\cos(x)}{\sin(x)\cot(x)}=1$.
Homework 8 (due 8 October) (solution): Section 9.1: #20, 21, 22, 29, 30, 32, 33, and the following problems: Problem A: Establish the identity $\dfrac{1-\sin^2(x)}{\cos(x)}=\cos(x)$; Problem B: Establish the identity $\dfrac{\sin^2(x)}{\cos(x)}=\sec(x)-\cos(x)$.; Problem C Establish the identity $\dfrac{\cos(x)}{\sin(x)\cot(x)}=1$.
Homework 9 (due 17 October) (solution): Section 9.2: #5, 7, 11, 12, 14, 16, 18, 20, 22, 23, 24, 47; Section 9.3: #5, 7, 11, 13, 15, 19, 21, 23, 24, 27, 28, 33
Homework 10 (due 22 October) (solution): Section 9.2: #11, 12, 14, 16, 18, 20, 22, 23, 24, 47, 51; Section 9.3: #5, 7, 11, 21, 23, 24, 27, 28, 33, 34, 37, 39, 40, 55, 58, and the following additional problems:
Problem A: Compute $\cos\left(\sin^{-1}\left(\dfrac{1}{4} \right) + \tan^{-1} \left( -\dfrac{1}{7} \right) \right)$.
Problem B: The so-called Chebyshev polynomials (of the second kind), denoted by $U_n(x)$, are a special set of polynomials defined by the formula
$$U_n(x)=\dfrac{\sin\Big((n+1) \cos^{-1}(x)\Big)}{\sin(\cos^{-1}(x))}.$$
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 11 (due 29 October) (solution): Section 9.2: #47, 48, 51; Section 9.3: #34, 37, 39, 40, 55, 58, 59; and the following additional problems:
Problem A: Compute $\cos\left(\sin^{-1}\left(\dfrac{1}{4} \right) + \tan^{-1} \left( -\dfrac{1}{7} \right) \right)$.
Problem B: The so-called Chebyshev polynomials (of the second kind), denoted by $U_n(x)$, are a special set of polynomials defined by the formula
$$U_n(x)=\dfrac{\sin\Big((n+1) \cos^{-1}(x)\Big)}{\sin(\cos^{-1}(x))}.$$
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 12 (due 7 November) (solution): 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 13 (due 12 November) (solution): Section 10.3: #7, 8, 10, 11, 12, 14, 17, 20; Section 10.4: #19, 37; Section 10.8: #9, 11, 17, 18, 29, 31, 33, 34, 58, 62, 63
Homework 14 (due 28 November) (solution): Section 10.8: #18, 29, 31, 33, 34, 58, 62, 63
Quizzes
Quiz 1
Quiz 2
Quiz 3
Quiz 4
Quiz 5
Quiz 6
Quiz 7
Quiz 8
Quiz 9
Quiz 10
Quiz 11
Notes
Video lecture for Section 2.2
Video lecture for Section 2.5
Video lecture for Section 3.5
