Math 105 2013W2, Section 206
This is the section-specific page for Section 206, MWF 4-4:50pm. Here are the other webpages associated with Math 105:
The final exam will be held on Thursday, April 24, from 12pm-2:30pm. Details of the content are available here and a sample final exam is here. More problems from past exams can be found on the math exam wiki.
- Selected examples: These are not necessarily full lecture notes, just short writeups of one or two examples from each class. Look at your own notes, the textbook, or Prof. Feldman's notes (at the bottom of his section page) for definitions and more examples.
Week 2, lecture 1: level curves, Week 2, lecture 2: limit definition of partial derivative, Week 2, lecture 3: interpreting partial derivatives, Extra example: finding critical points
Week 3, lecture 2: absolute max and min, Week 3, lecture 2: the gradient vector
Week 4, lecture 1: optimizing Cobb-Douglas functions using a Lagrange multiplier, Week 4, lecture 2: sigma notation and Riemann sums
Week 5, lecture 1: Example 3 (b) and (c) from Ch. 5.2 of the text, and Example 1 of this note by Prof. Feldman. Week 5, lecture 3: evaluating definite integrals using antiderivatives
Week 6, lecture 1 (updated Feb. 12): the substitution rule
Week 7, lecture 1: integration by parts, Week 7, lecture 2: powers of trig functions, Week 7, lecture 3: trig substitution, Week 7 sample quiz questions
Week 8, lectures 1 & 2: partial fractions, Week 8, lecture 3: integration review, Week 8 sample quiz questions (corrected Mar. 11)
Week 9, lecture 1: improper integrals, Week 9, lectures 2 & 3: numerical integration, Week 9, lecture 3: differential equations, Week 9 sample quiz questions
Week 10 covered probability. See Prof. Feldman's notes, or the appendix to your textbook.
Week 11, lecture 2 (+ preview of lecture 3): Recurrence relations and geometric series, Week 11, lecture 3: geometric series, divergence test, Week 11 sample quiz questions
Week 12, lectures 1 & 2: integral test, Week 12, lecture 2: ratio test, Week 12, lecture 2: comparison test, Week 12, lecture 3: power series
Week 13, lecture 1: Taylor series
Quiz 1, Solutions to Quiz 1
Quiz 2, Solutions to Quiz 2
Quiz 3, Solutions to Quiz 3
Quiz 4, Solutions to Quiz 4
Quiz 5, Solutions to Quiz 5
Quiz 6, Solutions to Quiz 6
Quiz 7, Solutions to Quiz 7
Quiz 8, Solutions to Quiz 8
Quiz 9, Solutions to Quiz 9
- Optional challenge problems:
Challenge problem set 1, Sage code for question 4(b), Sage code for 4(e), get/use Sage here, solutions to challenge set 1.
Challenge problem set 2, solutions to challenge set 2.
Challenge problem set 3, due Tuesday, April 22, at 5pm if you want a grade. This problem set is extra credit for the section-specific grade. See the first page of the problem set for details.
Instructor: Laura Peskin
Lectures: Monday, Wednesday, and Friday, 4-4:50pm, in Buchanan A104.
Office Hours: Monday and Wednesday, 5:15-6:15pm, in LSK 303C, or by appointment.
Instructor email: firstname.lastname@example.org
About email: I'll aim to get back to you within a day, but don't count on immediate responses before homework deadlines. If you have a specific question about the course content or a homework problem, you're encouraged to post it on the course's Piazza (see below) so that everyone can benefit from the answer.
Piazza: We'll have a course-wide forum through Piazza. You should have gotten a link and and access code by email already; let me know if you haven't. Piazza is a space for questions and discussion about the course material and homework---please sign up and add to the discussion! Instructors will check in daily to moderate and answer questions. We hope that this will allow you to learn from each other's questions and to get responses more quickly than by individual email. After you sign in for the first time, take a look at Dr. Rath's intro note for guidelines about how and what to post.
Section-specific assigments: As you know from the common course page, 6% of your grade is based on section-specific work. For our section, this will consist of:
The challenge problem set is optional, but if you turn in the problem set and your grade on it is higher than your average quiz score, your challenge problem grade will replace your quiz average. So, strictly speaking, you have the option of doing either the quizzes only, or the challenge problems only. However, the quizzes will be much easier, and I strongly recommend that you take all of the quizzes whether or not you plan to do the challenge problems.
- Weekly quizzes: Every Friday class will begin with a short (5-10 minute) quiz on the material covered in the previous Friday, Monday, and Wednesday lectures. These quizzes are meant to be straightforward---the questions will be very closely based on the week's learning goals and will be similar in difficulty to the Quick Check problems in the textbook. You might also be asked to define a term or to state a theorem.
Quizzes will probably not be returned routinely, but we'll go over the solutions immediately after the quiz and I'll post quiz questions and solutions on the section page after each Friday class. You will be able to pick up your quizzes at office hours if you wish.
Latecomers to class will not get extra time to write their quizzes. If you have to miss a quiz for an excused reason, you can make an appointment with me to take a similar quiz at another time.
- Challenge problems: The week before each exam, I'll post an extra problem set with some more difficult and hopefully interesting questions. These problem sets will be due at the beginning of class on the day before each exam (*change*: the second problem set will be due on the Wednesday after Midterm 2, since I will be away during the week of the midterm), and solutions will be posted immediately after class. These sets will be graded both for correctness and for clarity of writing. They're meant to serve a few purposes: (1) give you a chance to explore an interesting application, (2) help you review for exams, (3) give you feedback on your mathematical writing in a course that otherwise doesn't place much emphasis on that skill.
Updated grading policy for challenge problems: As decided at the beginning of the course, Challenge Set 1 scores can potentially replace quiz averages for Quiz 1 through Quiz 4, and Challenge Set 2 scores can potentially replace quiz averages for Quiz 5 through Quiz 8. Challenge Set 3 is extra credit for the section-specific grade: any points scored on the set will be added to the numerator of the section-specific grade. See the first page of Challenge Set 3 for more details.
Feedback: If you have suggestions for how something about the course might work better, please let me know in person or by email! There will also be several formal (and anonymous) opportunities for feedback---the first one will be just after the first midterm exam, when in particular you can let me know what you think of the section-specific assignment policy above.
Have a great term!