Spring 2007

Math 113Q
Class Web Page



 

The calculus is the greatest aid we have to the application of physical truth in the broadest sense of the word
--W. F. Osgood


                                       

 Area Under a Curve

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Welcome to the Math 113Q web page.   Please take a few minutes to click on each of the links below. 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!

 

 

Course Information:

            

Evaluation:

            

 


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:

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Course Description

M113Q. Introductory Calculus 2. (4 credits). Limits, derivatives, and extreme values of trigonometric functions, with supporting trigonometric topics; anti-derivatives of algebraic and trigonometric functions; the definite integral and applications

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Text

Calculus, 2nd Edition, by Smith, R. & Minton, R.

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Course Outline

Section

Topic

3.7

Optimization

4.1

Antiderivatives

4.2

Sums and Sigma Notation

4.3

Area

4.4

The Definite Integral

4.5

The Fundamental Theorem of Calculus

4.6

Integration by Substitution

4.7

Numerical Integration

Review for Exam 1

Review for Exam 1 Answers

5.1

Area Between Curves

5.2

Volume

6.1

The Natural Logarithm Revisted

6.2

Inverse Functions

6.3

The Exponential Function Revisted

6.4

Growth and Decay

6.7

The Inverse Trigonometric Functions

6.8

The Calculus of the Inverse Trigonometric Functions

7.1

Review of Formulas and Techniques

7.2

Integration by Parts

7.3

Trigonometric Techniques of Integration

7.4

Integration of Rational Functions Using Partial Fractions

7.4

Integration of Rational Functions Using Partial Fractions

7.6

Indeterminate Forms and L'Hopital's Rule

7.7

Improper Integrals

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Homework Assignments

Section

Exercises

Ch 3

(p.238) # 13,16,23,26,27,29,31,36,37,39,42,43,45

(p.319) #10

3.7

(p.306) # 7,8,9,11,12,19,21,29,37

4.1

(p.331) # 6,10,11,15,22,24,25,35,40,65,66,72

4.2

(p.340) # 9,10,19,24,27,36

4.3

(p.348) # 12,13,14,17,23,36,42,43

4.4

(p.361) # 5,9,15,18,24,27,36,39,43,49,51

4.5

(p.371) # 9,12,13,18,21,25,28,41,44,48,55

4.6

(p.381) # 10,13,17,24,28,32,39,45,50,55

4.7

(p.397) # 5,9,13,17,33

5.1

(p.408) # 5,8,15,20,23,26

5.2

(p.423) # 11,17,21,23,27,30

6.1

(p.485) # 8,10,13,14,15,19,21,23,25,27,33,35,37

6.2

(p.493) # 5, 6,11,17,21,25,27,31,35,41,43

6.3

(p.500) # 5,8,15,19,23,26,27,29,34,39,41,51,53,55,62,64,67,71,75

6.4

(p.509) # 7,15,19,25,31,39,41

6.7

(p.534) # 5,6,13,17,19,27,29,43,45,47,53

6.8

(p.541) # 3,5,11,13,17,19,21,23,27,29,32,35

7.1

(p.559) # 3,7,13,15,19,21,25,27,35,37

7.2

(p.566) # 5,7,10,11,15,19,20,29,32

7.3

(p.576) # 4,7,11,15,17,25,27,29,35

7.4

(p.585) # 4,5,7,9,16,19,25,27

7.6

(p.603) # 4,7,12,13,15,19,23,25,29,35

7.7

(p.617) # 16,17,28,29,34,41

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Course Instructors

Course
Section
Time
Day
Room
Instructor
113Q 010 9:00 - 9:50AM M - W BSP 130 DeFranco
113Q 011D 8:00 - 8:50AM Tu - Th MSB 407    Lombardo
113Q 012D 9:00 - 9:50AM Tu - Th MSB 211    Turlington
113Q 013D 10:00 - 10:50AM Tu - Th MSB 211    Turlington
113Q 014D 2:00 - 2:50PM Tu - Th MSB 219    Lombardo
113Q 020 2:00 - 2:50PM M - W BSP 130 Mullen, Erin Terwilleger
113Q 021D 8:00 - 8:50AM Tu - Th MSB 415    Zou
113Q 022D 9:00 - 9:50AM Tu - Th MSB 219    Higgins
113Q 023D 10:00 - 10:50AM Tu - Th MSB 219    Axtel
113Q 024D 2:00 - 2:50PM Tu - Th MSB 303    Chen-Yu
113Q 030 1:00 - 1:50PM Tu - Th PB 38 Abe, Kinetsu
113Q 031D 9:00 - 9:50AM W - F TOR 301    Dungan
113Q 032D 8:00 - 8:50AM W - F MSB 215    Ledford
113Q 033D 10:00 - 10:50AM W - F MONT 315    Dungan
113Q 034D 1:00 - 1:50PM W - F MSB 219    Ledford

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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:

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

See individual instructors for grading guidelines.

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Exams, Homework, and Quizzes
No make-ups on exams will be granted unless a case of an emergency occurs. In such cases you need to notify your Instructor and provide your TA with a note detailing the emergency. Your Instructor will notify your TA about permission to take the missed exam.

Each instructor will notify you about the content and date of exams to be given during the semester.

If you need exam accomodations based on a documented disability, you need to speak with both the Center for Students with Disabilities and the course instructor within the first two weeks of the semester.


Gateway Exam

The first Gateway exam will be an in-class paper exam given in your Discussion section on February 8th. There will be an open period from February 12th through March 16th 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. You may take the exam as often as you need during the open period. The exam will be given in the Mathematics Mac Lab (MSB 203). The exam schedule is posted in that room. Practice versions of the Gateway exam may be taken online in MSB 203. These practice exams are from the same test bank as the actual exams and will be graded online


Final Exam

The Final Exam is scheduled on 5/3 from 10:30AM - 12:30PM. This exam will cover all the material discussed throughout the semester.

·  Final Exam Review Problems


Homework and Quizzes

· Each instructor will notify you about expectations regarding homeworks and quizzes to be given during the semester.  

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Final Exam Schedule

Subject
Class
Section
Date
Day
Time
Location