WEEK 1: 8/28 - 9/1

Read sections 1.1 - 1.4.

Preliminaries, functions, graphs, linear functions

Homework problems (for 9/8):

1.1 #9, 14, 19, 20, 35 (use the distance formula)

1.2 #3, 5, 6, 7, 13, 20, 25, 47

1.3 #2, 4, 9, 13, 14, 15, 19, 22, 23, 43, 44

1.4 #37 - 40 (with Mathcad)

Challenge problem: 1.1 #57

WEEK 2: 9/5 - 9/8

**No class Monday, Sept. 4 (Labor Day)**

Read sections 1.5 - 1.6.

Inverse functions, exponentials, logarithms.

Homework problems (for 9/15):

1.5 #12, 14, 17, 19-21, 33, 39, 51

1.6 #1-4 (with Mathcad), 13, 15, 20, 27-30 (with Mathcad), 55, 58

Challenge problem: 1.5 #53

WEEK 3: 9/11 - 9/15

Read sections 2.1 - 2.3 (especially important this week!!)

Introduction to calculus, limits.

Homework problems (do before the exam on 9/22):

2.1 #5, 6, 7, 13, 14, 17, 18, 19

2.2 #1, 2, 4, 5, 19, 22, 23, 27, 33, 45

2.3 #1 - #19 (odds), 44, 50

Challenge problem: 2.3 #60

WEEK 4: 9/18 - 9/22

**The first in-class exam is Friday, Sept. 22nd**

Read sections 2.4 - 3.1.

Properties of limits, continuity.

Homework problems (for 9/29):

2.4 #7, 9, 11, 19, 21, 24, 31, 32, 33

3.1 #11, 14, 16, 17-27 (odds), 29, 30, 47

Challenge problem: 2.4 #57

WEEK 5: 9/25 - 9/29

Read sections 3.2 - 3.3.

Definition of derivative, techniques of differentiation.

Homework problems (for 10/6):

Check you answers from last week's homework using the "shortcuts" !

3.2 #6, #12, #14, #28, #33, #36

3.3 #1-13 (odds), 33-36, 39

Challenge problem: As discussed in class, compute the derivative

of ln(x) by computing the limit as h->0 of ln(1+h/x)^(1/h).

You should experiment with different values of x (1,2,3,...) and make a guess.

WEEK 6: 10/2 - 10/6

Read sections 3.4 - 3.5.

Rectilinear motion, chain rule.

Homework problems (for 10/13):

3.4 #15-20, 26, 28, 38

3.5 #15-27 (odds), 34, 36, 45, 46, 50

Challenge problem: 3.4 #50.

WEEK 7: 10/9 - 10/13

Read sections 3.6 - 3.7.

Implicit differentiation, related rates.

Homework problems (for 10/20):

3.6 #7, 8, 12, 13, 19, 23, 27, 39-42 (check answers against pics!)

3.7 #13, 14, 16, 19, 26, 38, 41

Challenge problem: 3.7 #47

WEEK 8: 10/18 - 10/20

**No classes Monday or Tuesday, Oct. 16-17 (Fall Break)**

Read section 3.8.

Linear approximation, problem sessions, review for exam.

Homework problems (for 10/27):

3.8 #19, 20, 23, 32
Challenge problem: 3.8 #24

WEEK 9: 10/23 - 10/27

**The second in-class exam is Monday, Oct. 23rd**

**Withdrawal date is Friday, Oct. 27th**

Read sections 4.1 - 4.2.

Extreme values, max/min word problems, Mean Value Theorem.

Homework problems (for 11/3):

4.1 #3, 4, 9, 24, 25, 51, 52, 56, 59.

4.2 #5, 6, 7, 33, 49, 51, 56.

Challenge problem: find a (real-life) can with fixed volume
minimizing surface area.

WEEK 10: 10/30 - 11/3

Read sections 4.3 - 4.5.

Curve sketching techniques.

Homework problems (before exam):

4.3 #13-37 (odds), 46, 47, 48.

4.4 #5-21 (odds), 39, 40, 41, 47.

4.5 #5, 6, 7, 10, 16, 17, 18, 20, 25-39 (odds), 47, 48.

WEEK 11: 11/6 - 11/10

Read sections 4.6 - 4.7.

More Curve sketching techniques, max-min word problems, derivative bee.

Homework problems (before exam):

4.6 #7, 8, 13, 15.

4.7 #6, 7, 14.

WEEK 12: 11/13 - 11/17

**The third in-class exam is Thursday, Nov. 16th**

Read section 4.8.

l'HÃ´pital's Rule, exam review Tuesday.

Homework problems (for 11/21):

4.8 #3-33 (odds).

Challenge problem: 4.8 #65.

WEEK 13: 11/20 - 11/21

**No classes Thursday or Friday, Nov. 23-24 (Thanksgiving)**

Read section 5.1.

Antiderivatives, indefinite integral.

WEEK 14: 11/27 - 12/1

Read section 5.2 - 5.3.

Definition of area, Riemann sums, definite integral.

Homework problems (for 12/8):

5.1 #3, 5, 7, 11, 14, 16, 17, 28

5.2 #17, 21 (and finish similar worksheet from in class)

5.3 #4, 8, 9 (more of the same)

WEEK 15: 12/4 - 12/8

**Friday, Dec. 8 is the last class meeting**

Read section 5.4 - 5.5.

Fundamental theorem of calculus, integration techniques.

Homework problems (before final):

5.4
5.5