Week 11 of m171
(§ 3, Mr. Lane)
10–14 April 2017

Math Learning Center (in Math 011) has tutors:
9am–4pm on Monday–Thursday and 9am–1pm on Friday

math@Mansfield (Library) has tutors: 6:30pm – 9:00pm on Sunday–Thursday

math@Mansfield (Library) has tutors: 6:30pm – 9:00pm on Sunday–Thursday

- Monday [d36] (10 Apr 2017)
WeBWorK:
RQ-5-1 closes at noon,
day-33 closes at 11 pm
- Study section 5.1
(
*How Do We Measure Distance Traveled?*). - Work on these items at end of §5.1:
1, 2, 4, 8, 11, 13;
**17**(think before computing), 25, 27, 29; 33, 37,**39**

- Study section 5.1
(
- Tuesday [d37]
WeBWorK:
RQ-5-2a closes at noon,
day-34 closes at 11 pm
- Study section 5.2 (
*The Definite Integral*) through Example 2 (page 284). - A TI graphing calculator has a tool to compute a numerical
approximation for a definite integral: MATH button, Math menu, fnInt(
fnInt( expression , variable , left , right )For example,
*fnInt( 1/x , x , 1 , 2 )*approximates the definite integral discussed in Example 1 (pages 282–283). - Work on these items at end of §5.2:
3, 7, 11;
18,
**37**, 41; 47, 51 - Anticipate a quiz (on Tuesday or Wednesday).

- Study section 5.2 (
- Wednesday [d38]
WeBWorK:
RQ-5-2b closes at noon,
day-35 closes Thursday at 11 pm
- Resume study of section 5.2 at the discussion of
*When f(x) Is Not Positive*on page 284.- Examples 3 and 4 can be interpreted in terms of signed, or net, area.
- Think about computing (or approximating) the definite integral of
a function which is
**piecewise continuous**: e.g., 2 x − 1 on [0,3] and 10 − x on [3,8]. - Read the
*More General Riemann Sums*discussion (page 285) casually — we will discuss it during class.

- Work on these items at end of §5.2:
9, 15;
19, 29, 30, 35,
**45**; 46, 49, 50, 52, 53,**54**, 57 - Study section 5.3
(
*The Fundamental Theorem and Interpretations*) through Example 1.- Understand the discussion about units on pages 289–290.
- The boxed statement on page 290 is explained by the paragraph printed above it.
- The boxed statement on page 291 is explained by the bottom two paragraphs on page 290.
- Consider how the
**Fundamental Theorem**is related to the discussion on first four pages of section 5.1.

- Work on these items at end of §5.3:
1, 5;
19,
**21**, 25; 52, 55

- Resume study of section 5.2 at the discussion of
- Friday [d39]
WeBWorK:
RQ-5-3 closes at noon,
day-36 closes Saturday at 11 pm
- Write-up solutions of these three problems —
show your work and interpret your results. Hand-in your written
homework at the
**start**of Friday's class.**section**5.1 5.2 5.3 **problems**24 44 8 - Resume study of section 5.3 (the
**FTC**).- Review discussion on pages 290–291 of
**The Fundamental Theorem of Calculus**. - Examples 2–4 emphasize ideas involving
accumulation of change; approximations are useful.
Example 3 can be interpreted in terms of area
**and**the Racetrack Principle (pages 177–178). - Example 5 uses the Fundamental Theorem to compute exact value of a definite integral.

- Review discussion on pages 290–291 of
- Work on these items at end of §5.3:
7, 11,
**12**; 15,**24**, 33–34,**38**; 53, 54, 56

- Write-up solutions of these three problems —
show your work and interpret your results. Hand-in your written
homework at the

© Richard B Lane
Last modified: 7 April 2017, Friday 08:13