**Instructor: **David Kerr
**Office:** Blocker 525K

**Office hours:** W 10:00-11:30

**Lectures:** TR 11:10-12:25, BLOC 121

**Recitation:** W 8:00-8:50, BLOC 203

**Course description:**
Vectors, functions, limits, derivatives, Mean Value Theorem, applications of derivatives, integrals,
Fundamental Theorem of Calculus.

**Textbook:**
*Calculus: Early Transcendentals*, James Stewart, published by Cengage Learning, 8th edition

**Assignments** (not to be handed in)

*Assignment #1* (week of September 4):

**J.1:** 3, 5, 9, 13, 17, 19, 21, 25, 29;
**J.2:** 5, 7, 13, 15, 17, 21, 25, 27, 31, 35, 37, 41, 43, 51, 53, 55, 61;
**J.3:** 1, 3, 7, 11, 15, 19, 25, 27, 29, 31

*Assignment #2* (week of September 11):

**2.4:** 1, 3, 15, 17, 19, 21, 23, 25, 27, 29, 32, 37, 39

*Assignment #3* (week of September 18):

**2.3:** 3, 5, 6, 7, 13, 19, 23, 27, 39, 41, 45;
**2.5:** 3, 5, 7, 11, 13, 15, 17, 20, 23, 41, 45, 53, 67, 72;
**2.6:** 5, 7, 15, 19, 23, 27, 31, 49, 77, 80

*Assignment #4* (week of September 25):

**2.7:** 5, 7, 13, 15, 21, 23, 25, 27, 31, 33, 35, 59, 60
**2.8:** 21, 23, 25, 27, 29, 61, 62, 63
**3.1:** 7, 9, 15, 33, 49, 55, 65, 71, 72, 73, 81

*Assignment #5* (week of October 2):

**3.1:** 25, 29, 31, 37;
**3.2:** 1, 3, 5, 9, 11, 13, 15, 17, 19, 23, 27, 31, 43, 45, 62;
**3.3:** 1, 3, 5, 7, 9, 11, 13, 15, 17, 20, 21, 39, 41, 43, 47, 53, 54

*Assignment #6* (week of October 9):

**3.4:** 7, 9, 11, 13, 15, 17, 19, 21, 31, 35, 41, 53, 59, 61, 71, 93, 94, 97;
**3.5:** 1, 3, 5, 7, 9, 11, 13, 15, 19, 21, 23, 25, 27, 31, 39, 45, 67

*Assignment #7* (week of October 16):

**K.1:** 1, 3, 5, 11, 13, 15, 17, 21;
**K.2:** 1, 3, 5, 7, 9, 11, 13, 15, 19, 21;
**3.6:** 3, 5, 9, 11, 13, 15, 19, 23, 24, 27, 31, 33, 37, 39, 41, 43, 45, 47, 51

*Assignment #8* (week of October 23):

**3.8:** 1, 3, 7, 9, 11, 13, 14, 19;
**3.9:** 1, 3, 5, 7, 9, 11, 13, 18, 19, 21, 23, 25, 28, 29, 41, 49

*Assignment #9* (week of October 30):

**3.10:** 1, 2, 3, 11, 13, 15, 17, 21, 23, 25, 33, 39

*Assignment #10* (week of November 6):

**4.1:** 11, 13, 29, 31, 33, 35, 37, 39, 41, 43, 47, 49, 51, 53, 57, 59, 61, 76, 77;
**4.2:** 5, 9, 11, 13, 21, 23, 27, 29, 30, 38

*Assignment #11* (week of November 13):

**4.3:** 9, 11, 13, 15, 17, 19, 25, 27, 37, 41, 43, 45, 49, 53, 73, 74, 76, 78, 80, 81, 91, 92;
**4.4:** 9, 11, 15, 17, 21, 23, 27, 35, 37, 41, 43, 47, 51, 53, 55, 56, 57, 59, 61, 63, 73, 87, 88, 89

*Assignment #12* (week of November 20):

**4.7:** 3, 5, 7, 13, 15, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 65, 73;
**4.9:** 1, 3, 5, 7, 9, 11, 13, 15, 17, 21, 25, 27, 29, 31, 33, 35, 39, 41, 43, 45, 47, 59, 61, 63, 75, 77

*Assignment #13* (week of November 27):

**5.2:** 1, 3, 35, 37, 47, 49, 55, 70, 71;
**5.3:** 7, 9, 13, 15, 17, 19, 21, 23, 25, 27, 33, 37, 39, 42, 61, 63;
**5.4:** 7, 9, 12, 21, 23, 25, 27, 29, 33, 45;
**5.5:** 1, 3, 5, 7, 11, 13, 17, 19, 21, 23, 25, 27, 31, 33, 39, 43, 47, 57, 59, 63, 65, 67, 69, 71, 73, 87, 88

**Quizzes** (administered in the last 15 minutes of the recitation)

*Quiz #1*: September 4, covers J.1-J.2

*Quiz #2*: September 11, covers 2.4

*Quiz #3*: September 18, covers 2.3, 2.5-2.6

*Quiz #4*: October 2, covers 3.1-3.3

*Quiz #5*: October 9, covers 3.4-3.5

*Quiz #6*: October 16, covers K.1-K.2, 3.6

*Quiz #7*: October 23, covers 3.8-3.9

*Quiz #8*: November 6, covers 4.1-4.2

*Quiz #9*: November 13, covers 4.3-4.4

*Quiz #10*: November 20, covers 4.7, 4.9

**Exams**

*In-class exam #1*: September 26,
covers J.1-J.2, 2.3-2.8, 3.1 (vectors, dot product, limits, continuity, limits at infinity,
asymptotes, tangents lines, definition of the derivative, derivatives of polynomial functions)

*Definitions and theorems you may be asked to state:* limit of a function, continuity, intermediate value theorem

Answers to Practice #3: 1(e); 2(c); 3(d); 4(a); 5(a); 6a(F); 6b(T); 6c(F); 6d(T); 8. 6a-2; 9. c=2.

*In-class exam #2*: October 31,
covers 3.2-3.6, K.1-K.2, 3.8-3.10
(product and quotient rules, derivatives of trigonometric functions,
chain rule, implicit differentiation, derivatives of logarithmic functions, derivatives
of vector functions, tangents of parameterized curves, exponential growth and decay,
related rates, linear approximation and differentials)

Practice #1 (ignore 1, 5, 7, 8, 9) |

Practice #2 (ignore 3, 6, 9, 12)

Practice #3 (ignore 8) |

Practice #4 (ignore 2, 7(b), 8(a), 9)

Answers to Practice #2: 1(b); 2(e); 3(c); 4(e); 5(a); 7(b); 9(a); 10(c); 12. 1/3.

Answers to Practice #3: 1(e); 2(e); 3(a); 4(e); 5(d); 6(d); 10(e).

*Final exam*: December 6, 3:00-5:00 p.m.

Answers to Practice #1: 1(c); 2(d); 3(a); 4(e); 5(a); 6(b); 7(d); 8(d); 9(a); 10(e); 11(b); 12(e); 13(b); 14(a); 15(c); 16. min 1, max 5; 17. 192; 18. y=(2+2e)x+2-2e; 20. 8/3.

Answers to Practice #2: 1(d); 2(e); 3(d); 4(a); 5(a); 6(a); 7(d); 8(a);
9(b); 10(c); 11(d); 12(c); 13(e); 14(e); 15(d); 16. 17; 17. y=2x+1-pi/2; 18. 2(1+ln(2)); 19. 256.

Answers to Practice #3: 1(e); 2(c); 3(b); 4(c); 5(a); 6(e); 7(b); 8(c);
9(a); 10(a); 11(c); 12(a); 13(b); 14(a); 15(d); 16. 4; 17.y=(-pi^4/(1+pi^4))(x-pi); 18. 80; 19. 3 ft/sec.