-*---* A. Iarrobino, Math U141, Spring 08 Classnotes

Math U141 class notes, Spring 2008

Prof. A. Iarrobino


For Section


meeting MWTh at 9:15 AM in 178FWV (Key #12461).


Look here for specific assignments and brief comments on what we did (or will do) in class. This will be updated at least weekly and usually by 4:30 PM each class day. TBA = "to be announced"


Course-wide Spring 08 syllabus (assignments: your instructor will pick a subset): Math U141 course wide Syllabus C (assignments) (pdf)

Information sheet (grading, etc. for Prof. Iarrobino's sections) Math U141 Information for Prof. Iarrobino section Syllabus A (pdf file)

Course home page (you probably already know this information): Math U141 home page (html)

Course outline (broad strokes) Course Outline



First day of classes: Monday January 7 Placement quiz. Go over syllabus, information, introductions.
Review the equations of a line, both slope-intercept y=mx+b form and point slope form. Finding points a fraction - as two thirds - along the line segment between two points. (Text section 10.2).

HW for Wednesday January 9: Worksheet #1A (hand out in class), #1A-E.
Read Text Section 1.2.

Class packets are available at Reprographics as of Jan 7 afternoon (corridor behind Bookstore, about $7).

Wednesday, January 9 (Plan) Questions, lines, continued, units of slope. Average slope and average rate of change.
[If time] Instantaneous rate as limit of average rate of change.

HW for Thursday January 10. (Plan)
Complete worksheet #1.
Section 1.2 HW from syllabus.

Thursday, January 10 Instantaneous rate of change, slope, slope function.

Homework for Monday
Do Quiz 1a from Class Packet.
Read Text p. 135-139 (limits)
Do p. 139 #1,2 Week of January 14 Insantaneous rate, slope functions, continued, Quiz 1

Monday January 14 Snow day

Wednesday January 16 Questions, Quiz 1.

Thursday, January 17 Quiz 1 back, Went over #2, 3A.
Derivative function: meaning, uses for finding local max and local min, and graphing (intro)
Graphing the derivative function given a graph of y=f(x). (Section 2.2)

Homework for Wednesday January 23
Read Text Chapter 2.1, Do p. 103: # 1-4,7,14,21-23.
Read Text Chapter 2.2 p. 10-9 #1-13, 15, 19-27, 29, 30 (discussed in class).
Begin to read Text Chapter 2.3 p. 116 #1,2,5. (these problems involve units, material already discussed in class.

Week of January 21 Applications of derivative to max-min, graphing. WS #2A, text. Begin derivative formulas (if time)

Monday January 21 Martin Luther King Holiday: no classes

Wednesday January 23 Questions on HW, WS #2B (polywog).

Homework for Thursday, January 24 Complete WS #2B #1.
Section 2.3 #9-10,13,15,18,23,25,27,30.

Thursday January 24 Questions on HW. Local linear approximation.
Second derivative, concavity from tables (section 2.4).
Begin power rule (section 3.1).

Homework for Monday, January 28
Section 2.4 #8-9,10-12,13,15-16,23,26,28.
Section 3.1 (powers) #5-7, 9-19.
WS 2B #3A,3B.

Week of January 28 Power rule, continued. Exponents, logs, trig functions and their derivatives. Quiz 2 Thursday.

Monday January 28 Checked HW. Power rule, exponents, derivatives of exponents and ln.

HW for Wednesday, Jan 30
Text section 1.5 (exponential, ln), p. 38. # 1,2,6,11,12.
Section 3.2 (derivatives of exponential, ln Section 3.2 p 152 #1-9 odd

Wednesday January 30 Composition of functions, chain rule.

HW for Thursday, January 31
Text Section 1.8 Composite functions: p. 55 #1,3-5,8-10,11,30 (last two done in class)
" Section 3.3 Chain rule: p. 157 odd #1-33, 37,45 (#37 done in class)
Packet WS #3A, #5 (most done in class)
Practice for Quiz 2: Quiz 2a p. 37 of packet, solutions p. 75.
Note typo on quiz #1Bii: should be instantaneous rate at 10:31. Typo on solutions p. 76 #4B f'= 1.25 x^{0.25)+...

Further practice for Quiz 2:
Math U141 Fall 2007 Quiz 2

Thursday January 31 Questions on HW. Product rule. Quiz 2.

Homework for Monday Feb. 4
WS #3B #4
Section 3.4 p. 161 #1-19 odd.

Week of February 4 Product, quotient rules. Trig functions and their derivatives. Applications to graphing.

Monday February 4 Quiz 2 back, went over. Product rule, continued. Combined methods



Homework for Wednesday Feb. 6
Text Section 3.4 p. 161 #21-31 odd.
WS #3B #6,7.

Wednesday February 6 WS #3B #6 (students put problems on board); WS 3B #7. Use of calculator for graphing #7, and finding values.
Trig functions (amplitude, period, vertical displacement, Section 1.10. We also went over #1,2 of Section 1.10 exercises.

Homework for Thursday February 7
Text section 1.10: p. 67 #1-5,13, 31,34
Text section 3.5 p. 165 #1-11 odd, 15, 21,22.

Thursday February 7 Questions. #31,34 Section 1.10. Phase shift (substitute t-C for t).
Local maxima and minima: graphing using calculus (Section 4.1).

Homework for Monday, February 11. Worksheet 3A p. 11 of packet: #3 (graphing).
Section 4.1 p. 180 #1-5, 8-10 (graph using calculus)
Section 4.2 #16,17.

Week of February 11 Graphing using calculus, continued. Global max-min
Begin max-min word problems. Half quiz Wednesday

Monday February 11 Graphing using calculus, Global max-min. We did p. 191 #15,36 in class.

Homework for Wednesday
Section 4.3, P. 192 #30-33,36,37. (#30,36 done in class)

Wednesday February 13 Questions, intro to max min word problems (?). Half quiz.

Homework for Thursday
Read p. 15-19 of Class Packet.
Section 4.3 p. 192 of text, #30,37.

Thursday February 14 Passed back Half quiz and solutions, discussed.
Max-min word problems involving fences/area, maximizing area given length of fence, or minimizing length of fence (or cost) given area.
Step by Step solutions (see Class Packet p. 15) also 17-20.

Homework for Feb. 20 Class Packet p. 21 (at top ``MM #1'', problems by Prof. Krikorian): #1-10 (#7 is somewhat different, so try it but do not worry about it).
Text p. 192 #31-33

Week of February 18 Max-min word problems, review for exam 1 (Thursday).

Monday February 18 Presidents' Holiday.

Wednesday February 20 Questions: we did #7-10 p. 21 of packet. Also, a dual cost problem (maximize area given cost of fence).

Homework for Thursday Do Exam 1 or packet p. 45-46 (solutions later in packet).

Thursday Feb. 21 Review for exam 1

Further practice for exam (optional) Do Exam 1 from Fall 06.
Exam 1, Math U141 Fall 2006 It is probably most effective to try this exam with a time limit, possibly working with other students, and only then look at solutions!
Exam 1, Math U141 Fall 2006, Solutions

Week of February 25 Exam 1 Monday, continue max-min word problems through ticket, etc. p. 22 of packet; surge function (chapter 4.8). Antiderivatives (chapter 7.1).

Monday February 25 Exam 1

Monday February 27 Exam 1 continued (half hour). Max-min word problems involving linear functions: tickets, max take.

HW for Thursday
Section 4.4 p. 199 #20-22 (we did #20 in class).
Class packet p. 22 # 16-22.

Thursday February 28
Exam 1 back: scores: median 99.5, top quartile 106, lower quartile 84, 125 possible.
Scale on Exam 1: 110 A, 104 A-, 90 B-, 75 C-, 60 D- (I convert score to a standard scale A-=90, B-=80 ... when I do grades, so 104 counts as 90.
Solutions to Exam 1 Spring 2008
Surge function (section 4.8): #1 p. 225, also method for choosing time for second dose
Antiderivative of polynomials, exponentials, etc.

HW for Monday March 10
Read Chapter 4.8 of text. Do p. 225 #1-4,6,9.
Read Chapter 7.1 of text. Do p. 303 #1-18 odd.
(Optional) Class Packet p. 23 #24,25.

Have a good and safe vacation!
You are responsible for the material of class Thursday February 28, and for assigned homework for Monday March 10 (even if you missed the class).

Week of March 3 Vacation

Week of March 10 Antiderivative, Motion work problems Quiz 3 Thursday.

Monday March 10 Questions on surge function, antiderivative.
Antiderivative, continued.
Begin Motion problems (Class packet).

Homework for Wednesday, March 12
Class packet p. 14, WS #4B #1-3.

Wednesday March 12 Motion problems, continued. We went over WS #4B, #1,2A,2B.

Homework for March 13
Class packet: Quiz 3 (answers in back)
" " p. 25 #1,2,10-12.

Thursday March 13 Questions. Quiz 3.

Homework for Monday, March 17
Class packet: p. 13 Worksheet 4A. Do examples 2,3 (#1 done in class)
Class Packet: p. 25-26, #13-17.
(Optional) Read Section 5.1 in preparation for Monday's class.

Week of March 17 Integral (Chapter 5).

Monday March 17 Integral as signed area. Left, right, trapezoidal sums for integral.
Worksheet #6A. Text, Chapter 5.1, some material from Section 5.2.

Homework for Wednesday, March 19.
Worksheet #6A, packet p. 29, #2,3.
Text, Section 5.1 p. 240 #1-4
Text, Section 5.3 p. 253 #3-8.

Wednesday March 19 Integral, continued. Riemann sums. Difference between left and right sums, trapezoid approximation.

Homework for Thursday, March 28
Section 5.2 p. 242 #1,2,6,7,10,11,16-17.
Section 5.3 p. 253 #1-11, 16-17, 25, 30.

Thursday March 20 Integral, continued. Area between two curves. Fundamental theorem. Also, definite integrals on calculator.

Homework for Monday March 24
Packet: Quiz 3.5 p. 41. Also Quiz 4 #1A-D.
Text Section 5.3 #19.
Text Section 7.3 #1-6 on FTC

Week of March 24 Integral, fundamental theorem ,continued, flow and amount, Half quiz 3.5 on Monday, in class worksheet Thursday.

Monday March 24 Questions, Half quiz 3.5.

Homework for Wednesday March 26
Read Section 5.4 of text. Do p. 258 (section 5.4) #3-7,10,11,12,17,23.

Wednesday March 26 Applications of integral. Integral: rate of flow to amount.

Thursday March 27 Flow, continued. Worksheet on integral, rate of flow (see Quiz 4).

Forthcoming featured events

Exam 2 April 3. See sample Exam 2 in class packet

Final Exam Thursday April 24 at 3:30 PM: Two hour exam
Be sure to make your travel plans so you can take the final, required of all. Bring graphing calculator and Extra Credit HW (see above).

Archived events



Half Quiz 3.5 Week of March 24. Integral as area, Riemann sums, fundamental Theorem, see packet Quiz 3.5 p. 21, and also Quiz 4 #1A-D.

Quiz 3 Thursday March 13. Max-min word problems (tickets); surge function, antiderivative, motion problems. See Quiz 3 p. 40 of Class Packet (with ticket in place of fence, and surge function also).

Exam 1: Monday February 25. See Exam 1a of class packet, and Practice exams above.
Half Quiz: Wednesday Feb. 13. (For practice, ee quiz #2.5a p. 39 of Class packet)

Quiz 2 Thursday Jan. 31. For practice see Quiz 2a in packet, and (as above).
Math U141 Fall 2007 Quiz 2

Reminder: attendance policy The attendance policy (announced in Syllabus: information sheet):
Briefly, more than four unexcused absences affects your grade, or may result in a W or F in the course.


Questions or comments: e-mail to a.iarrobino@neu.edu.  This is the quickest way to reach me, or come by 526 NI, MWTh.

Math U141 home page (html)

Math U141 Fall 2007 Classnotes (may give an idea of timing of future material, quizzes, exams).

Math Tutoring  Free, at NU, available to Math U141 students.



Links  to other calculus resources on the web:

Visual Calculus (U. Tenn)


Prof. Anthony Iarrobino
Department of Mathematics
Northeastern University
Boston, MA, 02115
Office:526 NI
Phone: (617) 373-5524
Email: a.iarrobino@neu.edu


Created: January 6, 2007. Last modified: March 24 2008. URL:http://www.math.neu.edu/~iarrobino/AIMathU141Spr08classnotes.html