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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
The Sine Curve
All mathematicians share ... a sense of amazement over the infinite depth and the mysterious beauty and usefulness of mathematics
--Martin Gardner
Welcome to the MATH 112Q 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!
Instructors for Math 112 include:
- J. Addorisio
- A. Bourla
- X. Huang
- K. Rafi
- F. Zhang
Course Information:
Evaluation:
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 and hand in all homework assignments . Homework will be collected in your Discussion class, graded, and returned to you by your TA. Homework is more than just providing answers--in submitting your homework it should be complete, neat, and easy to read. We expect that you show all your work and that you include clear explanations of your thinking in solving a problem.
- 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 during office hours or visit the Q-Center or the Calculus Center for extra help.
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.
Calculus, 2nd Edition, by Smith, R. & Minton, R.
Section
Topic
0.1
The Real Numbers and the Cartesian Plane
0.2-0.3
Lines and Functions; Graphing calculators and Computer Algebra Systems
0.4
Solving Equations
0.5
Trigonometric Functions
0.6
Exponential and Logarithmic Functions
0.7
Transformations of Functions
1.1
The Concept of Limit
1.2
Computation of Limits
1.3
Continuity and Its Consequences
1.4
Limits Involving Infinity
1.5
Formal Definition of the Limit
2.1
Tangent Lines and Velocity
2.2
The Derivative
2.3
Computation of Derivatives: The Power Rule
2.4
The Product and Quotient Rules
2.5
Derivatives of Trigonometric Functions
2.6
Derivatives of Exponential and Logarithmic Functions
2.7
The Chain Rule
2.8
Implicit Differentiation and Related Rates
2.9 Mean Value Theorem 3.1
Linear Approximation and L'Hôpital's Rule
3.2 Newton's Method 3.3
Maximum and Minimum Values
3.4
Increasing and Decreasing Functions
3.5
Concavity
3.6
Overview of Curve Sketching
3.7
Optimization
Section
Exercises
0.1
(p. 9) # 9, 12, 15, 16, 19, 25, 35, 49
0.2 / 0.3
(p. 20) #7, 15, 19, 20, 25, 31, 37, 41, 43, 53, 57, 59, 61, 67, 71, 73, 76
(p.32) # 5, 9, 21, 230.4
(p. 38) # 5, 6, 13, 14, 21, 45
0.5
(p. 48) # 5, 6, 7, 8, 9, 11, 15, 18, 31, 38
0.6
(p. 61) # 5, 7, 11, 13, 16, 23, 27, 33, 52, 56, 62, 67, 72
0.7
(p.70) # 5, 6, 8, 13, 18, 21, 25, 27, 29, 31, 36
1.1
(p. 89) # 1, 5, 9, 12, 17, 22, 23, 29, 30
1.2
(p. 100) # 5, 9, 10, 13, 17, 21, 24, 27, 37, 38, 61
1.3
(p. 111) # 5, 6, 9, 11, 15, 17, 21, 25, 29, 34, 35, 47, 48
1.4
(p. 123) # 5, 9, 12, 17, 21, 26, 32, 33, 41, 44, 57
1.5
(p. 135) # 5, 9, 13, 14, 15
2.1
(p. 160) # 5, 7, 9, 10, 13, 17, 21, 24, 29, 32, 35, 40, 45, 59
2.2
(p. 173) # 5, 6, 7, 13, 17, 21, 24, 29, 31, 36, 39, 43, 57
2.3
(p. 183) # 5, 8, 13, 17, 21, 25, 29, 35, 40, 43, 51
2.4
(p. 194) # 5, 9, 13, 18, 21, 25, 41
2.5
(p. 203) # 5, 6, 8, 13, 17, 21, 51
2.6
(p. 211) # 5, 8, 14, 17, 21, 25, 26, 29, 36, 37, 41
2.7
(p. 218) # 5, 13, 14, 17, 22, 25, 29, 34, 41, 43, 51
2.8
(p. 227) # 5, 8, 13, 17, 21, 29, 30, 35, 49, 51
2.9 (p. 236) # 9, 10, 13, 17, 21 3.1
(p. 249) # 5, 9, 15, 16, 17, 21, 27, 31, 36, 39
3.2 (p. 256) # 4, 5, 7, 8, 21, 39 3.3
(p. 267) # 5, 10, 13, 17, 21, 33, 36, 39, 51
3.4
(p. 276) # 5, 10, 11, 15, 16, 19, 21, 29, 36, 43
3.5
(p. 284) # 5, 8, 9, 10, 11, 25, 27, 41, 48
3.6
(p. 296) # 7, 11, 15, 18
3.7
(p. 306) # 7, 11, 12, 13, 19, 21, 29, 37
Section Start Time End Time Days Building & Room Instructor 001 11:00 AM 12:15 PM MWF MSB 219 Huang 002 12:30 PM 01:45 PM MWF MSB 307 Zhang 003 02:00 PM 03:15 PM MWF MSB 315 Bourla 004 08:00 AM 08:50 AM F MSB 311 Addorisio 004 08:00 AM 09:15 AM TuTh MSB 215 Addorisio 005 12:30 PM 01:45 PM TuTh MSB 307 Rafi 005 10:00 AM 10:50 AM W MSB 307 Rafi
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 IntegrityA 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 - http://www.cmhs.uconn.edu; 486-4705 (after hours, use 486-3427)
- Career Services - http://www.career.uconn.edu; 486-3013
- Alcohol and Other Drug Services - http://www.aod.uconn.edu; 486-9431
- Dean of Students Office - http://www.dos.uconn.edu; 486-3426
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-classesStudents 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 CenterThe 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.
Each instructor will notify you of grading guidelines for your class.
Exams, Quizzes, and Homework
Each instructor will notify you about the content and date of exams to be given during the semester.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 instructor with a note detailing the emergency. Your instructor will notify you about permission to take the missed exam.
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 ExamThe first Gateway exam will be an in-class paper exam given on February 12th or 13th. There will be an open period from February 14th 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 ExamThe 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.
