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

**Office hours:** W 10:00-11:30, or by appointment

**Lectures:** MWF 12:40-1:30, BLOC 164

**Recitation:** T 12:45-1:35, HEB 223

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

**Textbook:**
*Calculus: Early Vectors*, by Stewart et al, published by Brooks/Cole

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

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

**1.1:** 3, 5, 9, 13, 17, 19, 21, 25, 27, 29;
**1.2:** 13, 15, 17, 21, 25, 31, 35, 37, 41, 43, 51, 53, 55;
**1.3:** 1, 3, 7, 11, 15, 19, 25, 27, 29, 31

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

**2.2:** 3, 5, 7, 15, 17;
**2.3:** 3, 5, 6, 7, 13, 19, 23, 27, 39, 41, 45;
**2.4:** 1, 3, 7, 19, 21, 23, 27, 29, 32

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

**2.5:** 3, 5, 7, 11, 13, 15, 17, 20, 23, 41, 45, 53;
**2.6:** 5, 7, 15, 19, 23, 27, 31, 49

*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
**3.1:** 7, 9, 15, 33, 49, 55, 65, 71, 72, 73, 81

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

**3.2:** 1, 3, 5, 9, 11, 13, 15, 17, 19, 23, 27, 31, 43, 45;
**3.3:** 1, 3, 5, 7, 9, 11, 13, 15, 17, 20, 21, 39, 41, 43, 47

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

**3.4:** 7, 9, 11, 13, 15, 17, 19, 21, 31, 35, 41, 53, 59, 61, 71;
**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):

**3.6:** 3, 5, 9, 11, 13, 15, 19, 23, 24, 27, 31, 33, 37, 39, 41, 43, 45, 47, 51;
**10.2:** 1, 3, 5, 7, 9, 17, 19, 29

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

**3.9:** 1, 3, 5, 7, 9, 11, 13, 18, 19, 21, 23, 25, 29, 33, 41, 49;
**3.10:** 1, 2, 3, 11, 13, 15, 17, 21, 23, 25, 33, 39

*Assignment #8* (week of October 30):

**3.5:** 49, 51, 54, 56, 57, 58, 60;
**4.4:** 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 31, 35, 37, 47, 53, 55, 57, 59, 61;
**3.8:** 1, 3, 5, 9, 15, 17, 19

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

**4.1:** 11, 13, 29, 31, 33, 35, 37, 39, 41, 43, 47, 49, 51, 53, 57, 59, 61

*Assignment #10* (week of November 13):

**4.2:** 5, 9, 11, 13, 21, 23, 27, 29;
**4.3:** 9, 11, 13, 15, 17, 19, 25, 27, 37, 41, 43, 45, 49, 53, 73, 74

*Assignment #11* (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 #11* (week of November 27):

**5.1:** 7, 8, 21, 22, 23, 29(a)

*Assignment #11* (week of December 4):

**5.2:** 1, 3, 35, 37, 47, 49, 55;
**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, 4757, 59, 63, 65, 67, 69, 71, 73

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

*Quiz #1*: September 4, covers 1.1-1.2

*Quiz #2*: September 11, covers 2.2-2.4

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

*Quiz #4*: October 2, covers 3.2 and 3.3
(product and quotient rules, derivatives of trigonometric functions)

*Quiz #5*: October 9, covers 3.4 and 3.5 (chain rule, implicit differentiation)

*Quiz #6*: October 16, covers 3.6 and the first part of 10.2 on tangents (derivatives of logarithmic functions, tangents of parameterized curves)

*Quiz #7*: October 23, covers 3.9-3.10 (related rates, linear approximation and differentials)

**No quiz on November 6** [but recitation will run as usual, with practice on min/max problems]

*Quiz #8*: November 13, covers 4.1-4.3 (max and min values, mean value theorem, first and second
derivative tests, concavity test)

*Quiz #9*: November 20, covers 4.7 and 4.9 (optimization problems and antiderivatives)

*Quiz #10*: November 27, covers 5.1 (areas)

**Exams**

*In-class exam #1*: September 26,
covers 1.1-1.3, 2.2-2.8, 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, the part of 10.2 on tangents, 3.9-3.10, 4.4
(product and quotient rules, derivatives of trigonometric and inverse trigonometric functions,
chain rule, implicit differentiation, derivatives of logarithmic functions, tangents of parameterized curves,
related rates, linear approximation and differentials, l'Hospital's rule)

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 10, 10:30 a.m.-12:30 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. 212; 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.