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)

__External links__

CalcPlot3D