|Instructor||Keith Conrad (If this is not your instructor, this is not a page for your section of Math 1132.)|
|math1132course at gmail dot com. (Use this address to write to Prof. Conrad about the course. When you send an email message, please include your name at the end of the message and include your discussion section number and NetID.)|
|Office hours||T 12:00-1:00, W 2:00-4:00 or by appointment, in Monteith 234.|
Brief course description: This course focuses on techniques and applications of integral calculus, infinite series, and differential equations. Concepts will be treated from a geometric, algebraic, and numerical perspective.
Topics Covered: Sections to be covered from the text are from Chapters 6 through 11. A course outline is in a weekly chart here. (Note: until the semester starts, this syllabus is subject to change without notice.) Since lectures are twice a week, usually half the weekly material will be covered in each lecture. You are strongly urged to read the book before the corresponding lecture in the class and to use office hours of the instructor and TAs, as well as the Q Center to get help. The pace of this course is not slow. If you blow off class for a week, you may find yourself completely lost and it can be hard to catch up. Make sure to get any misunderstandings about the material cleared up right away!
Prerequisites: Math 1131. In particular, you are expected to be comfortable with differential calculus (techniques of integration make extensive use of derivatives), but if you find your expertise in this area inadequate, make sure to seriously review the material from Math 1131. Precalculus is used a lot as well. If you find your familiarity with precalculus to be inadequate, make sure to seriously review the material. Use the Q Center as well as resources (videos, flashcards, clicker questions) for Math 1132, Math 1131, and Math 1060 here (requires NetID and password to access).
Textbook: See the common course page.
Lecture notes: These will be available at the page for the large lecture (section 050) in HuskyCT.
Homework: Your homework problems will be done using WebAssign, which you will access from your discussion section page for Math 1132 on HuskyCT.
Worksheets: Worksheets are available from the Learning Activities tab of the common course page. They are submitted to your TA in discussion sections, and your TA will indicate the due dates for worksheets in their discussion section.
Clickers: During most lectures there will be some questions that you answer using clickers. Information about registering your clicker is on the common course page.
Quizzes: Each week, except during midterm weeks, there will be a quiz at the start of the second discussion section.
Exams: There are three midterms, all in discussion section, on Feb. 7, March 7, and April 11. [Edit: the second midterm is changed to March 21st.] If you need exam accommodations 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.
Course grade: On the common course page is a breakdown of how much different parts of the course contribute to the course grade (including clickers, quizzes, and exams).
Makeup policy: Late work will not be accepted.
Calculators: On the exams you may use calculators below a TI-89, but not TI-89 or something higher. Do 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:
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, see Appendix A of the Student Code.
Tips for using WebAssign.
Correct and incorrect algebra formulas.
Calculus and cartography.
A worked example of integrating a rational function using a partial fraction decomposition.
Tips on making estimates for error bounds in approximate integration.
Approximating π by integration.
The original paper by Tai about the so-called Tai method (i.e., the Trapezoid Rule) and the responses it generated.
Deriving the Trapezoid Rule error bound: an application of integration by parts.
A scan of two pages from Hall and Knight's Higher Algebra showing the old-fashioned notation for n!.
An improper integral in physics: escape velocity.
An important improper integral: the area under the bell curve.
Applications of the harmonic series to maximum overhang of blocks and to record highs.
Two ways to think about the sum of a convergent geometric series.
Representing π by infinite series.
The differential and integral formulas for the remainder and Taylor's inequality: an application of the Mean Value Theorem and integration by parts.
Relating the appearance of π in the integrals for area of a circle and arc length of a circle, using integration by parts.
4/24: Wednesday office hours this week are 2-3 PM.
4/9: Wednesday office hours this week are canceled. Anyone wanting to see me this week who can't come to my office hours on Tuesday should schedule an appointment.
3/6: Wednesday office hours this week are canceled. Anyone planning to see me during that time should schedule a separate appointment later this week.
3/5: Midterm 2 is postponed from 3/7 to 3/21.
3/4: Office hours this week are T 11:30-1:00 and W 1:30-4:00.
1/16: Class begins.