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

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

**Lectures:** TR 11:10-12:25, BLOC 605AX

**Recitation:** W 8:00-8:50, BLOC 205B

**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 5):

**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 12):

**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, 37, 39, 44

*Assignment #3* (week of September 19):

**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 26):

**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 3):

**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 10):

**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 17):

**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 24):

**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 #9* (week of November 7):

**4.1:** 11, 13, 29, 31, 33, 35, 37, 39, 41, 43, 47, 49, 51, 53, 57, 59, 61, 76, 77

*Assignment #10* (week of November 14):

**4.2:** 5, 9, 11, 13, 21, 23, 27, 29, 30, 38;
**4.3:** 9, 11, 13, 15, 17, 19, 25, 27, 37, 41, 43, 45, 49, 53, 73, 74, 80, 81, 91

*Assignment #11* (week of November 21):

**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 28):

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

*Assignment #11* (week of December 5):

**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 5, covers 1.1-1.2

*Quiz #2*: September 12, covers 2.2-2.4

*Quiz #3*: September 19, covers 2.5-2.6

*Quiz #4*: October 3, covers 3.2 and 3.3
(product and quotient rules, derivatives of trigonometric functions)

*Quiz #5*: October 10, covers 3.4 and 3.5 (chain rule, implicit differentiation)

*Quiz #6*: October 17, covers 3.6 and the first part of 10.2 on tangents (derivatives of logarithmic functions, tangents of parameterized curves)

*Quiz #7*: October 24, covers 3.9-3.10 (related rates, linear approximation and differentials)

**No quiz on November 7** [but recitation will run as usual, with practice on min/max problems]

*Quiz #8*: November 14, covers 4.1-4.3 (max and min values, mean value theorem, first and second
derivative tests, concavity test)

*Quiz #9*: November 28, covers 4.7 and 4.9 (optimization problems and antiderivatives)

**Exams**

*In-class exam #1*: September 27,
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*: November 1,
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 7, 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. 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.