Syllabus: [pdf] [tex]

Previous course materials
Spring 2016 (MST)
Fall 2015 (MST)
Summer 2012 (MST)

Exams
Exam 1: [pdf] [tex]
Exam 2: [pdf] [tex]
Exam 3: [pdf] [tex]
Exam 4: [pdf] [tex]

Homework
Homework 1 (due 22 August) (solution): Section 1.1: #6, 7, 8, 16 (ok to use computer to plot graph, but still eliminate parameter), 50 (the point (h,k) is the center, and r is the radius), 56, 57, 58; Section 1.2: #66, 69, 102, 116; Section 1.3: 138, 139, 142, 146
Homework 2 (due 27 August) (solution): Section 2.1: #2, 8, 10, 22 (not part c), 34, 46, 56; Section 2.2: #68, 84, 88, 94, 112, 122; Section 2.3: #124, 134, 142, 170, 174; Section 2.4: #184 (can use computer for part b.), 190, 216, 222 (note: "$O$", as in "$\vec{OP}$", means origin: $O$ is the point (not vector) $(0,0)$ or $(0,0,0)$ depending on the dimension in context)
Homework 3 (due 5 September) (solution): Section 2.4: #184 (can use computer for part b.), 190, 216, 222, 240; Section 2.5: #244 (dont do c., d.), 246 (dont do c., d.), 248 (don't do b.), 252, 256, 258, 260, 268 (not b.), 270 (not b.), 272, 276, 284; Section 2.6: #319, 320, 321, 322, 323, 324, 325, 362; Section 2.7: #364, 368, 372, 382, 386, 392, 396, 400, 422 (not a. or c.; also use $\rho=4$ instead of $\rho=14$)
Homework 4 (due 12 September) (solution): Section 2.6: #331, 332, 333, 334, 361, 362
Homework 5 (due 17 September) (solution): Section 2.7: #364, 368, 372, 382, 386, 392, 396, 400, 422 (use $\rho=4$ instead of $\rho=14$ in this problem -- the CalcPlot3D software doesn't like the larger value); Section 3.1: #6, 8, 10, 28, 40 (increase "number of steps" to 1000 or more to get a smooth curve); Section 3.2: #42, 46, 52, 54, 56, 64, 72, 74; Section 3.3: #114, 116, 118, 132, 134
Homework 6 (due 24 September) (solution): Section 3.2: #64, 72, 74, 87, 88, 89; Section 3.3: #114 (do for bonus -- from scratch), 116, 118, 132, 134; Section 4.1: #2, 4, 7, 8, 14, 18, 23, 26, 48, 50, 56; Problem A: Compute the unit normal vector $\vec{N}(t)$ and binormal vector $\vec{B}(t)$ for the space curve $\vec{r}(t) = \langle \cos(t), \sin(t), 1 \rangle$.
Homework 7 (due 1 October) (solution): Section 4.2: #64, 66, 68, 70, 86, 87, 88, 89; Section 4.3: #118, 120, 122, 124, 126, 128, 132, 134, 136, 138, 140, 146, 150, 156; Section 4.4: #170, 172, 174; Section 4.5: #216, 218 , 220, 222, 224, 226 (can just use chain rule on 222-226, don't have to do two ways), 244, 252
Homework 8 (due 10 October) (solution): Section 4.5: #216, 220, 224 (can just use chain rule, don't have to do two ways), 244, 252
Homework 9 (due 15 October) (solution): Section 4.6: #264, 265, 266, 274, 279, 280, 284, 290, 292, 299, 301, 306, 308; Section 4.7: #318, 320, 322, 324, 344, 346; Section 5.1: #14, 16, 18, 20, 22, 24
Homework 10 (due 22 October) (solution): Section 5.1: #14, 16, 18, 20, 22, 24; Section 5.2: #60, 61, 62, 66, 67, 74, 76, 78, 80, 84, 96, 98, 102, 105; Section 5.3: #134, 136, 138, 140, 148, 150, 160
Homework 11 (due 31 October) (solution): Section 5.3: #134, 136, 138, 140, 148, 150, 160, 168
Homework 12 (due 5 November) (solution): Section 5.4: #181, 184, 191, 193, 196, 197, 200, 212, 224, 226; Section 5.5: #242, 246, 254, 256, 258, 261, 270, 284, 286; Section 6.1: #6, 8, 10, 12, 16
Homework 13 (due 12 November) (solution): Section 6.2: #44, 46, 53, 58, 67; Section 6.3: #106, 107, 112, 116, 126; Section 6.4: #146, 150, 152, 166; Section 6.5: #212, 214, 222, 224
Homework 14 (due 28 November) (solution): Section 6.6: #275, 277, 282, 284

Quizzes
Quiz 1
Quiz 2
Quiz 3
Quiz 4
Quiz 5
Quiz 6
Quiz 7
Quiz 8

Notes
Section 6.6 Problem 282: pdf
Question from 20 September 2018 class: $\dfrac{\vec{T}'(t)}{\lVert \vec{r}'(t)\rVert} \stackrel{?}{=} \dfrac{\vec{r}'(t) \times \vec{r}''(t)}{\lVert \vec{r}'(t)^3 \rVert}$
Section 3.3 #113 (errors in this calculation)
Video lecture "What is Calc 3?"
Video lecture for Section 1.1
Video lecture for Section 1.2
Video lecture for Section 1.3
Eliminating parameter: [pdf] [tex]
Tangent line: [pdf] [tex]
Arc length example: [pdf] [tex]
Area: [pdf] [tex]
Converting points in polar: pdf (see first page of this document)