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Syllabus (non-honors section) [tex]

Syllabus (honors section) [tex]

**Exam 1**: [pdf] [tex]

**Exam 2**: [pdf] [tex]

**Exam 3**: [pdf] [tex]

**Exam 4**: [pdf] [tex]

__Other stuff__

Formulas for Exam 1

20 January 2017-calculation of antiderivative of $\dfrac{4x^3+3}{x^4+3x}$

20 February 2017-calculation of the antiderivative of $\csc(x)$

Formulas for Exam 2

Formulas for Exam 3

__Homework__

**Homework 1** (*due 23 January*) (solution): Section 5.1: #20, 21, 23, 29, 32, 41, 44, 46, 47, 55, 57, 61; Section 5.2: #1, 3, 4, 7, 8, 14, 21, 31, 49, 50, 52, 55, 66

*Honors section extra problems (solution): Section 5.1: #60, 108, and the following problem: (A) Show that for $x>0$ and $n$ a positive integer that $\ln(x^n)=n\ln(x)$ using calculus ; Section 5.2: #87, 97, 108*

Question brought up on 20 January 2017

**Homework 2** (*due 30 January*) (solution): Section 5.4: #34, 38, 43, 44, 46, 49, 52, 99, 103, 106, 107; Section 5.5: #40, 43, 50. 55, 72, 74, 78, 80, 81

*Honors section extra problems (solution): Section 5.3: #99; Section 5.4: #133, 139; and the following problem (A): Compute the derivative of $f(x)=x^x$ (hint: begin by rewriting $x^x$ using $\exp$ and $\ln$)*.

**Homework 3** (*due 6 February*) (solution): Section 5.6: #39, 43, 46, 47; Section 5.7: #1, 4, 7, 21, 23, 28; Section 5.8: 23, 26, 28, 30, 43, 49, 55, 58, 67, 70, 75, ~~79~~, 85, 86

*Honors section extra problems: (solution): Section 5.6: #50, 56; Section 5.7# 68(a); Section 5.8: #101, 102*

**Homework 4** (*due 15 February*) (solution): Section 7.1: #5, 16, 17, 21, 22, 23; Section 10.1: #1, 2, 3, 4, 5, 6

*Honors section extra problems: (solution) Section 7.1: #81 (recall the equation of a line with slope $m$ that passes through the point $(x_1,y_1)$ is $y-y_1=m(x-x_1)$); Section 10.1: #64*

**Homework 5** (*due 20 February*) (solution): Section 7.1: #18, 25, 30, 37; Section 7.2: #12, 17, 21, 24, 28, 33; Section 7.3: #9, 12, 14, 21, 24, 25

*Honors section extra problems: Section 7.1: #82; Section 7.2: #65; Section 7.3: #49, 54*

**Homework 6** (*due 27 February*) (solution): Section 7.4: #8, 21, 37, 42, 44; Section 10.2: #1, 3, 13; Section 10.3: #1, 4, 19, 20 (no part (d) for #19 and #20); Section 10.4: #2, 3, 15, 16 (only have to find one polar coordinates for #15 and #16, not two), ~~23, 24, 35, 36~~

*Honors section extra problems: (solution): Section 7.4: #31; Section 10.2: #38, 78; Section 10.4: #53*

**Homework 7** (*due 8 March*) (solution) Section 8.1: #31, 32; Section 8.2: #10, 11, 13, 15, 26, 44, 45

*Honors section extra problems: Section 8.2: #91, 93*

**Homework 8** (*due 22 March*) (solution): see them here

*Honors section extra problems*: (also at above link)

**Homework 9** (*due 28 March*) (solution): Section 8.5: #5, 9, 11, 12, 14, 30; Section 8.7: #12, 13, 19, 23, 27, 40; Section 8.8: #18, 20, 21, 26, 38

*Honors section extra problems: Section 8.5: #49; Section 8.7: #103, 111; Section 8.8: #95, 96, 98*

**Homework 10** (*due 5 April*) (solution): Section 9.1: #2, 3, 4, 13, 18, 21, 24, 30, 31, 36, 43, 62, 63

*Honors section extra problems: #83 *

**Homework 11** (*due 10 April*) (solution): Section 9.2: #7, 15, 18, 25, 28, 33, 41, 44, 46, 48, 52, 61, 64; Section 9.3: #2, 5, 18, 19, 30, 33, 38, 48, 51~~; Section 9.4: #4, 5, 14, 15, 17~~

*Honors section extra problems: Section 9.3: #67, 70*

**Homework 12** (*due 19 April*) (solution): Section 9.4: #4, 5, 14, 15, 17; Section 9.5: #7, 8, 9, 10, 19, 21; Section 9.6: #14, 15, 17, 25, 36, 37, 43, 49

*Honors section extra problems*: (solution): Section 9.4: #61; Section 9.5: #81; Section 9.6: #105

**Homework 13** (*due 3 May*) (solution): Section 9.8: #6, 7, 9, 11, 14, 19, 20, 27, 66(a); Section 9.9: #6, 10, 19, 21, 36; Section 9.10: #7, 8, 10, 28, 30, 31, 53

*Honors section extra problems*: (solution): Section 9.8: #66(b), #66(d); Section 9.10: #88