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Math 112 - Fall 2007
Welcome to the MATH 112Q web page.
Please take a few minutes to click on each of the links in the sidebar. They will provide you with important and useful information about this course.
Calculus is one of the most remarkable and useful achievements of the human mind. Our goal is to help you gain an appreciation for the utility and beauty of this amazing subject.
Good luck and enjoy the class!
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The calculus is the greatest aid we have to the application of physical truth in the broadest sense of the word
--W. F. Osgood |
Introduction
Calculus stands as one of the greatest achievements of the human intellect. It is used to model and solve problems in mathematics, the physical sciences, engineering, and the social and biological sciences--that is, problems in our real world. The main ideas of Calculus are concerned with change and motion and its two fundamental mathematical operations are differentiation and integration. In this course we will study some of the fundamental building blocks of the Calculus--that is, functions, limits, the derivative and applications of differentiation.
As we begin our journey down the Calculus road it is important to keep in mind the following:
- We expect you to attend all classes (Lecture and Discussion classes) and be on time. You are responsible for all the work discussed in each class so it is important that you attend and participate in class.
- We expect you to be prepared for each class--that is, to review your class notes and read the assigned material from the text prior to coming to class.
- We expect you to complete all homework assignments on time through the on-line homework feature called Enhanced WebAssign.
- We expect you to participate in class--that is, to ask and answer questions in both Lecture and Discussion classes. In order to learn and understand the material it is important that you are actively involved and engaged in the learning process--that is, in doing and discussing mathematics during class.
- We expect you to seek out help if you don't understand the material taught in class. See your instructor or TA during office hours or visit the Q-Center in the CUE Building or the Calculus Center for extra help.
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Course Description
M112Q. Introductory Calculus 1. (4 credits). The topics studied in this course will include functions, limits, derivatives, and extreme values of algebraic functions, with supporting algebraic topics.
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Text
- Calculus, Early Transcendentals, Volume 1, (6th Edition), with WebAssign code.
Author: James Stewart
Note: You can buy the text for M112Q, Calculus, Early Transcendentals, Volume 1, by Stewart, at the UConn Coop, online directly from the publisher (with a discount), and many other places. The publisher has set up a web page for you to purchase a text online with the WebAssign codes bundled. For information on purchasing the text online go to
http://www.thomsonsites.com/ichapters/micro/?cluster_id=1756
If you decide to order the text online make sure you order the book for M112Q and make sure you get WebAssign codes bundled with the text as they cost about $25 each semester when purchased separately.
- Just-In-Time, Algebra and Trigonometry for Early Transcendental Calculus, (3rd Ed.)
Authors: G. Mueller & R. I. Brent
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Course Outline
| Week |
Section |
Topic |
| 1 |
|
Introduction |
| |
§1.1 |
SC-Four Ways to Represent a Function
JIT-§4.1 |
| |
No Class - Labor Day |
| 2 |
§1.2 |
SC-Mathematical Models: A Catalog of Essential Functions
JIT-§4.3; §5.4 |
| |
§1.3 - §1.4 |
SC-New Functions from Old Functions; Graphing Calculators and Computers
JIT-§4.4-4.6; §7.1 |
| 3 |
§1.4-§1.5 |
SC-Graphing Calculators and Computers; Exponential Functions
JIT-§1.4; §6.1 |
| |
§1.6 |
SC-Inverse Functions and Logarithms
JIT-§7.2-7.4; §8.1-8.4 |
| 4 |
§2.1 |
SC-The Tangent and Velocity Problems |
| |
§2.2 |
SC-The Limit of a Function |
| 5 |
§2.3 |
SC-Calculating Limits Using the Limit Laws
JIT-§10.2-10.3; §10.5 |
| |
§2.4 |
SC-The Precise Definition of a Limit |
| 6 |
§2.5 |
SC-Continuity |
| |
§2.6 |
SC-Limits at Infinity; Horizontal Asymptotes |
| 7 |
§2.7 |
SC-The Derivatives and Rates of Change
JIT-§11.1 |
| |
§2.8 |
SC-The Derivative as a Function |
| 8 |
§3.1 |
SC-Derivatives of Polynomials and Exponential Functions
JIT-§3-1-3.3 |
| |
§3.2 |
SC-The Product and Quotient Rules |
9 |
§3.3 |
SC-Derivatives of Trigonometric Functions |
| |
§3.4 |
SC-The Chain Rule
JIT-§12.1 |
10 |
§3.5 |
SC-Implicit Differentiation
JIT-§13.1 |
| |
§3.6 |
SC-Derivatives of Logarithmic Functions |
11 |
§3.8 |
SC-Exponential Growth and Decay |
| |
§3.9 |
SC-Relate Rates
JIT-§14.2 |
12 |
§4.1 |
SC-Maximum and Minimum Values |
| |
§4.2 |
SC-The Mean Value Theorem |
| 13 |
No Class - Thanksgiving Recess |
14 |
§4.3 |
SC-How Derivatives Affect the Shape of a Graph |
| |
§4.4 |
SC-Indeterminate Forms and L’Hospital’s Rule |
15 |
§4.5 |
SC-Summary of Curve Sketching |
| |
§4.7 |
SC-Optimization Problems |
| 12/11 |
Final Exam - 10:30 am - 12:30 pm |
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Homework Assignments
Section |
WebAssign Problems |
Extra Problems |
Homework Due Date |
§1.1 |
2, 24, 42, 56, 66 |
SC-p.20 # 1, 10, 22, 23, 28, 36, 43, 57, 65
JIT-p.51 # 2, 5, 8, 11 |
9/4 |
§1.2 |
2,10, 14, 18, 22 |
SC-p.34 # 8, 13, 16, 21
JIT-p.65 # 1, 2, 4, 7
JIT-p.91 # 1, 5, 6, 9 |
9/7 |
§1.3 |
30, 34, 38, 50, 54 |
SC-p.43 # 3, 28, 33, 42, 53
JIT-p.66 # 2, 3, 5a, 6a, 8, 9
JIT-p.69 # 1, 2a, 3a, 5, 6
JIT- p.71 # 2, 3, 6
JIT- p.103 # 1, 4, 5, 6, 7 |
9/10 |
§1.5 |
14, 16, 18, 20, 26 |
SC-p.58 # 15, 19, 25
JIT-p.12 # 1, 6, 9, 11, 12, 15, 16, 21
JIT-p.99 # 1, 2, 5, 6 |
9/14 |
§1.6 |
22, 34, 48, 60, 66 |
SC-p.70 # 1, 6, 18, 21, 29, 31, 32, 33, 35, 38, 49, 59, 67
JIT-p.109 # 1, 3, 5, 9
JIT-p.112 # 1, 2, 4
JIT-p.114 # 1, 3, 5, 7, 9, 13, 14, 16, 20, 21
JIT-p.119 # 1, 3, 5, 9
JIT-p.122 # 2, 4, 6, 9
JIT-p.125 # 1, 3, 7, 9, 13, 17 |
9/17 |
§2.1 |
2, 4, 5, 6, 8 |
SC-p.87 # 1, 7 |
9/21 |
§2.2 |
4, 8, 32, 34, 40 |
SC-p.96 # 6, 7, 9, 13, 25, 27 |
9/24 |
§2.3 |
2, 14, 18, 26, 48 |
SC-p.106 # 1, 11, 15, 17, 19, 23, 25, 46
JIT-p.143 # 2, 4, 7, 9, 11, 13, 19, 20
JIT-p.144 # 1, 3, 6, 7, 9
JIT-p.150 # 1, 2, 5, 8 |
9/28 |
§2.4 |
2, 4, 8, 12, 14 |
SC-p.117 # 1, 3, 13 |
10/1 |
§2.5 |
4, 32, 38, 40, 42 |
SC-p.129 # 3, 10, 16, 17, 35, 37, 47 |
10/5 |
§2.6 |
4, 20, 26, 32, 42 |
SC-p.140 # 3, 15, 19, 21, 28, 29, 41 |
10/8 |
§2.7 |
6, 14, 26, 38, 42 |
SC-p.150 #3, 9, 12, 13, 27, 29, 37, 43
JIT-p.158 # 1, 3, 6,12.15 |
10/12 |
§2.8 |
2, 24, 28, 38, 42 |
SC-p.162 # 3, 21, 35, 50 |
10/15 |
§3.1 |
6, 12, 24, 38, 50 |
SC-p.180 # 4, 7, 10, 14, 15, 20, 22, 25, 29, 37, 49, 74, 77
JIT-p.35 # 3, 8, 11, 15, 17, 20, 22
JIT-p.39 # 1, 5, 9, 15, 23
JIT-p.45 # 3, 6, 7, 13, 17, 23, 24 |
10/19 |
§3.2 |
10, 22, 28, 32, 44 |
SC-p.187 # 4, 5, 8, 15, 17, 27, 41, 47 |
10/22 |
§3.3 |
2, 12, 22, 36, 42 |
SC-p.195 # 1, 5, 9, 25, 29, 39, 41, 45 |
10/26 |
§3.4 |
10, 26, 32, 54, 76 |
SC-p.203 # 3, 9, 11, 15, 17, 19, 25, 31, 41, 51, 65
JIT-p.161 # 1, 3, 6, 10, 13, 21, 23, 24 |
10/29 |
§3.5 |
8, 12, 26, 46, 52 |
SC-p.213 # 1, 5, 9, 11, 15, 21, 33, 45, 47, 53, 65
JIT-p.165 # 2, 3, 5 |
11/2 |
§3.6 |
4, 14, 24, 34, 46 |
SC-p.220 # 5, 7, 9, 11, 19, 21, 23, 31, 33, 37, 38 |
11/5 |
§3.8 |
4, 6, 8, 16, 18 |
SC-p.239 # 3, 5, 9, 13 |
11/9 |
§3.9 |
6, 12, 14, 20, 28 |
SC-p.245 # 7, 13, 15, 21, 23 |
11/12 |
§4.1 |
30, 44, 48, 54, 60 |
SC-p.277 # 3, 5, 7, 31, 47, 51, 53, 57 |
11/16 |
§4.2 |
2, 4, 8, 12, 24 |
SC-p.285 # 1, 3, 7, 11, 25 |
11/26 |
§4.3 |
2, 10, 32, 36, 46 |
SC-p.295 # 1, 5, 7, 9, 11, 19, 31, 35, 45, 61 |
11/30 |
§4.4 |
10, 12, 26, 40, 60 |
SC-p.304 # 5, 9, 11, 15, 17, 19, 25, 29, 43, 55, 59, 71 |
12/3 |
§4.5 |
2, 12, 26, 40, 60 |
SC-p.314 # 3, 5, 9, 11, 27, 41, 57 |
12/7 |
§4.7 |
2, 4, 12, 28, 40 |
SC-p.328 # 3, 5, 10, 18, 32, 47, 53, 55, 69
JIT-p. 171 # 1, 2, 4, 5, 7, 12 |
12/10 |
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Course Instructors
Section |
Start
Time |
End
Time |
Days |
Building &
Room |
Instructor |
Office Hours |
010 |
12:00 |
12:50 |
MWF |
BSP131 |
Savkar, Amit |
|
011D |
08:00 |
08:50 |
Tu |
MSB415 |
Williams, Chad |
|
012D |
08:00 |
08:50 |
Th |
MSB415 |
Williams, Chad |
|
013D |
10:00 |
10:50 |
Tu |
MSB415 |
Saul, Rachel |
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014D |
11:00 |
11:50 |
Tu |
MSB415 |
Huang, Xiang |
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015D |
03:30 |
04:20 |
Tu |
MSB415 |
Saul, Rachel |
|
016D |
04:30 |
05:20 |
Tu |
MSB415 |
Saul, Rachel |
|
017D |
03:30 |
04:20 |
Th |
MSB315 |
Saul, Rachel |
|
018D |
11:00 |
11:50 |
Th |
MSB415 |
Huang, Xiang |
|
019D |
03:30 |
04:20 |
Th |
MSB415 |
Huang, Xiang |
|
020D |
04:30 |
05:20 |
Th |
MSB415 |
Huang, Xiang |
|
030 |
09:00 |
10:15 |
TuTh |
BSP130 |
DeFranco,Thomas |
|
031D |
08:00 |
08:50 |
M |
MSB307 |
Whitehead, Brian |
|
032D |
09:00 |
09:50 |
M |
CHMT212 |
Whitehead, Brian |
|
033D |
10:00 |
10:50 |
M |
MSB319H |
Long, Yunzhou |
|
034D |
11:00 |
11:50 |
M |
MSB311HW |
Long, Yunzhou |
|
035D |
03:00 |
03:50 |
M |
CHMT114 |
Long, Yunzhou |
|
036D |
02:00 |
02:50 |
F |
CHMT114 |
Hewa, Priyantha |
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037D |
08:00 |
08:50 |
F |
MSB307 |
Sarukkali, Milanthi |
|
038D |
09:00 |
09:50 |
F |
CHMT212 |
Sarukkali, Milanthi |
|
039D |
03:00 |
03:50 |
F |
CHMT212 |
Long, Yunzhou |
|
040D |
11:00 |
11:50 |
F |
CHMT212 |
Whitehead, Brian |
|
050 |
01:00 |
01:50 |
MWF |
BSP131 |
Chen, Pengwen |
|
051D |
02:00 |
02:50 |
Tu |
GEN427 |
Chen, Tao |
|
052D |
09:00 |
09:50 |
Tu |
MSB415 |
Li, Wei |
|
053D |
03:30 |
04:20 |
Tu |
MSB403H |
Chen, Tao |
|
054D |
03:30 |
04:20 |
Tu |
MSB411HW |
Sarukkali, Milanthi |
|
055D |
08:00 |
08:50 |
Tu |
A138 |
Hewa, Priyantha |
|
056D |
08:00 |
08:50 |
Th |
CHMT212 |
Li, Wei |
|
057D |
02:00 |
02:50 |
Th |
CHMT212 |
Chen, Tao |
|
058D |
09:00 |
09:50 |
Th |
MSB415 |
Chen, Tao |
|
070 |
02:00 |
3:15 |
TuTh |
BSP130 |
Abe, Kinetsu |
|
071D |
4:00 |
4:50 |
M |
CHMT114 |
Whitehead, Brian
|
|
072D |
10:00 |
10:50 |
M |
CHMT212 |
Schwarz, Ryan |
|
074D |
11:00 |
11:50 |
M |
CHMT212 |
Williams, Chad |
|
076D |
03:00 |
03:50 |
M |
CHMT212 |
Schwarz, Ryan |
|
077D |
08:00 |
08:50 |
F |
CHMT212 |
Schwarz, Ryan |
|
078D |
10:00 |
10:50 |
F |
CHMT212 |
Williams, Chad |
|
079D |
11:00 |
11:50 |
F |
CHMT114 |
Schwarz, Ryan |
|
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Student Information
Calculator Policy
Students should bring a graphing calculator (most models will do) to all classes and know how to operate it properly. Calculators will be allowed during exams; however, all work must be shown in order to receive full credit on a problem.
Academic Integrity
A fundamental tenet of all educational institutions is academic honesty; academic work depends upon respect for and acknowledgement of the research and ideas of others. Misrepresenting someone else's work as one's own is a serious offense in any academic setting and it will not be condoned.
Academic misconduct includes, but is not limited to, providing or receiving assistance in a manner not authorized by the instructor in the creation of work to be submitted for academic evaluation (e.g. papers, projects, and examinations); any attempt to influence improperly (e.g. bribery, threats)any member of the faculty, staff, or administration of the University in any matter pertaining to academics or research; presenting, as one's own,the ideas or words of another for academic evaluation; doing unauthorized academic work for which another person will receive credit or be evaluated; and presenting the same or substantially the same papers or projects in two or more courses without the explicit permission of the instructors involved.
A student who knowingly assists another student in committing an act of academic misconduct shall be equally accountable for the violation, and shall be subject to the sanctions and other remedies described in The Student Code.
Support Services
The Dean of Students Office provides student support services in a number of areas. The following websites and phone numbers can be used to access these services:
- Counseling and Mental Health Services
- Career Services
- Alcohol and Other Drug Services
- Dean of Students Office
Every effort will be made to accommodate students with documented learning disabilities. For information on how to access university provided services, please see the following sites:
- University Program for College Students with Learning Disabilities (UPLD)
- Center for Students with Disabilities (CSD)
Tutoring
It may be that at some point during this semester you may need extra help in order to understand the material taught in class. There are a number of places you can go to receive extra help. First, you should visit your instructor or TA during his or her office hours. If you need further help there are two other places you can visit--the Q-Center and the Calculus Center.
Q-Center
The Q-Center (Q for Quantitative) operates in conjunction with various departments on campus (e.g., biology, chemistry, economics, mathematics, physics, statistics, and the School of Business) and provides the following resources to help students succeed in their Q-courses:
· Tutoring- on a drop in basis
· Assistance with homework
· Exam review sessions (including a bank of previous exams)
· Forming and assisting study groups from within your Q-classes
Students visiting the Q-Center should bring their textbooks, class notes, and calculators. The Q-Center is located in the Center for Undergraduate Education Building (CUE) in room 123. The staff is made up of well-trained graduate and undergraduate students who provide a welcoming environment and are interested in helping students achieve in their courses. You can find out more about this center by visiting the following website: http://web.uconn.edu/qcenter/index.htm
Calculus Center
The Mathematics Department runs a free Calculus Center. The Calculus Center is staffed by course instructors, advanced undergraduate students and undergraduate tutors who have been trained to tutor calculus. This is an excellent place for you to go when you need a little extra help or clarification on a topic discussed in class. Calculus Center hours and additional information are available on the Calculus Center website.
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Grading
Homework-WebAssign |
Throughout Semester |
15% |
Exam I |
Week of 10/9 |
25% |
Exam II |
Week of 11/12 |
25% |
Final Exam |
12/11 |
35% |
Gateway Exam |
|
Pass / Fail |
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Exams and Homework
No make-ups on homework or exams will be granted unless of an emergency. In such cases you need to notify your TA and provide him or her with a note detailing the emergency in order to receive permission to take the missed quiz or exam.
Gateway Exam
The Gateway exam is an online exam that is given in MSB 203 (Mac Lab). There will be an open period from October 1 through November 9 during which the Gateway exam may be taken. The exam will be graded without partial credit and a 70% score is required to pass the exam. The score on the Gateway exam will not count toward your final grade; however, failure to pass the exam will lower the course grade by one full letter grade. Practice versions of the exam are available online. You may take the exam as often as you need during the open period and the times at which you may take the exam are posted in MSB 203.
Exam I
Exam I will be given during the week of October 9th. Your instructor will notify you of the date, time, and place of the exam. This exam will cover the material in Chapters 1 and 2 and will count toward 25% of your final grade.
Sample Exam
Exam II
Exam II will be given during the week of November 6th. Your instructor will notify you of the date, time, and place of the exam. This exam will cover the material in Chapter 3 and will count toward 25% of your final grade.
Sample Exam
Final Exam
The Final Exam is scheduled on 12/11 from 10:30am-12:30pm. This exam will cover all the material discussed throughout the semester and will count toward 35% of your final grade.
Homework
Assigned homeworks are to be completed online using Enhanced WebAssign. Homework must be completed on the scheduled date (see Homework Assignments above). The lowest two homework grades, including missed homeworks, will be dropped. Homework will count toward 15% of your final grade.
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Final Exam Schedule
One Minute Survey
The "One-minute Survey"
Please take a minute to write the answer to the following question (no names):
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What could we do to improve your learning in this class?
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