Math 113 - Spring 2006
Introductory Calculus 2
Section 030

Brief course description: This course, a continuation of Math 112, focuses on applications of the derivative and an introduction to integral calculus. Concepts will be treated from a geometric and algebraic perspective.

Topics Covered: Sections to be covered from the text are Chapters 4 through 7 with some initial discussion of the end of Chapter 3. Not every section from these chapters will be covered. The syllabus is in a weekly chart at the bottom of this page. We will treat roughly one section per lecture. You are strongly urged to read the book before the corresponding lecture in the class and to use office hours of the instructor or TAs. If you blow off class for a week, you may find yourself completely lost.

If this is not your last calculus course, especially if you will be taking further courses in differential equations or physics, you are encouraged to read the sections of Chapters 5 and 6 which we are not covering (as a preview of material you will meet in those other courses).

Prerequisites: Math 112. In particular, you are expected to be comfortable with differential calculus.

Course grade:  This will be based on the following weighting:

• Gateway: Pass/Fail (not passing the gateway exam drops your course grade by one letter).
• Homework: 15% (the lowest two homework grades, including 0 for missed homework, will be dropped)
• Midterm exams: 25% each (two exams)
• Final Exam: 35%

Homework: Homework assignments are posted below. Virtually the only way to learn this material well is to solve lots of problems, and more is better than less insofar as your mastery of the material is concerned. The problems to be submitted for grading are written in bold. Some homework questions, possibly selected from those not chosen for grading, may appear on the exams in a slightly altered form (e.g., different numbers are used).

• After a section of the book has been covered in the lecture, the exercises to be graded for that section will be collected at the start of the second discussion section following the lecture. That is, if a section of the book is completed in a Monday lecture then its problems are due at the start of the following Thursday discussion section, and if a section of the book is completed in a Wednesday lecture then its problems are due at the start of the following Tuesday discussion section. The discussion section taking place between the lecture and the due date is a time for you to ask questions about the homework problems which will be due. (Another time for this is during the office hours of the lecturer and TAs for that lecture.) You will know when material is due based on what happens in the lectures.
• The homework exercises and the choice of graded exercises may depend on the main lecturer. If you are in Choi's lecture, don't look at the course pages of Conrad or DeFranco to see which problems to do. You may wind up submitting the wrong problems!
• Prepare your solutions to the homework neatly and in order of the assigned exercises. If you are not sure how to solve a problem, leave space for it and return to it later.
• An integral part of your outside work in the course is the reading of the text and the re-reading of your lecture notes. Focus on both explanations and examples.
• It is a mistake to skip homework, because no skills (in mathematics, foreign language, athletics, and so on) can be learned by passive involvement, but only by regular practice. Moreover, many skills are learned over time, so do not expect to understand everything perfectly right away. You should find your understanding of basic topics improving gradually from one week to the next.

Exams:  There will be a gateway exam, 2 hour exams, and a final.  

• The gateway exam can be taken in MSB 203. An exam schedule is posted there. You need at least 70% to pass it. Please note this is not the same exam as taken by students in Math 112. The Math 113 gateway exam covers material from Math 112.
• As a general rule, there are no makeups for the midterm exams. If you simply miss an exam, that midterm grade is 0. If there is a real emergency, you must provide the instructor (not your TA) with verifiable documentation.
• The exams will be prepared separately according to the lecture (Conrad, Choi, DeFranco).
• Some problems like (but not identical to) those on the homework may be on the exam, but the exam will also have new problems. The exams will test how well you have understood the material, not whether you can solve only the problems you have already solved on the homeworks.
• Bring UConn photo ID to each exam.
• If you need exam accomodations based on a documented disability, you need to speak with both the Center for Student Disabilities and the course instructor within the first two weeks of the semester.

The teaching of new material in this course occurs in two places: the lectures and your reading of the book. Discussion sections are intended for reviewing recent material. The course is cumulative and what is treated at one point in the course may very well be used later on.

Course conduct: To respect everyone's right to a productive learning environment, please refrain from disruptive activities during class. This includes reading newspapers or magazines, and using pagers and cell phones. Set cell phones on vibrate mode only (or turn the phone off during classes). If your cell phone receives a message, you can check it after class. Please turn off all other electronic gadgets before entering the classroom (except calculators if you bring one). On a positive note, do feel free to ask questions!

Calculators: You may use calculators up to and including a TI-86 (for instance, a TI-89 is not allowed). However, you should not let the calculator become a mental crutch as you try to understand the ideas of this course, most of which actually have nothing to do with calculators. You should regard the use of a calculator somewhat like that of a dictionary or grammar table for another language. Someone who needs a dictionary to translate even the simplest part of a basic French text or to hold a conversation in French does not know French that well. Of course properly using and understanding the French language means a lot more than just knowing French words and how they are inflected, but such knowledge without outside aids is an important prerequisite to becoming comfortable with French. In the same way, your comfort in this course will increase if you can handle certain basic computations quickly in your head. These include:

• knowing the values of some basic trigonometric functions at special numbers; at least know the sine and cosine of 0, π/2, and &pi. If you don't know why these are easy to know, please ask!
• multiplying small numbers (like 2 times 6, 3 times 9, or 4 times 7)
• simplifying small fractions (3/6 is 1/2 and 8/12 is 2/3)
• knowing the relation between dividing and multiplying, for instance multiplying by ½ is the same as dividing by 2
• knowing approximate values of certain numbers: π is around 3.14, e is around 2.7, √2 is around 1.414 and √3 is around 1.732 (note: George Washington was born in 1732; a student from Math 113 in Spring 2004 still remembers this mnemonic device whenever we cross paths on campus.)

Academic integrity: Students are expected to avoid academic misconduct. Your integrity is not worth losing (and the course not worth failing) by falsely presenting yourself in any aspect of this course. For further information on academic integrity, go here and look under Judicial Affairs, Student Code, Part VI.