# Fall 2012 MATH H1B 001 LEC

Section | Days/Time | Location | Instructor | CCN |
---|---|---|---|---|

001 LEC | MWF 2-3P | 70 EVANS | BERGMAN, G M | 53695 |

Units/Credit | Final Exam Group | Enrollment |
---|---|---|

4 | 15: THURSDAY, DECEMBER 13, 2012 3-6P | Limit:35 Enrolled:16 Waitlist:0 Avail Seats:19 [on 11/02/12] |

**Restrictions:** BY CATEGORY

**Prerequisites:** 1A or equivalent.

**Syllabus:** (Honors version of 1B; continuation of 1A.) Techniques of integration; applications of integration. Infinite sequences and series. First-order ordinary differential equations. Second-order ordinary differential equations; oscillation and damping; series solutions of ordinary differential equations. ( = Chapters 7-9, 11, 17 of the text.)

**Office:** 865 Evans Hall

**Office Hours:** Monday, Tuesday 10:30-11:30, Friday 3:30-4:30.

**Required Text:** James Stewart, *Single variable calculus: Early Transcendentals*, Cengage (custom Berkeley edition for 1A/1B). (Note: do not get the

new edition of the text, which will be used for 1A this semester and 1B in future semesters. For continuity with last semester's 1A, this semester's (H)1B

still uses the earlier edition -- blue cover with a white-red-and-yellow framed pattern in the center.)

**Grading:** Grades will be based on weekly section quizzes (25%), two Midterms (15% and 20%) a Final (35%), and regular submission of your "daily question" as described below (5%).

**Homework:** Assigned weekly. Not graded, but you are expected to work on the problems, and ask about them if you have difficulty. The homework problems will be discussed in section, and section quizzes, which do form a part of your grade, will be closely modeled on them.

**Comments:** This course is aimed at students with a strong ability and interest in mathematics.

I will follow the curriculum for Math 1B, but try to provide greater rigor (real proofs), greater insight, and more interesting exercises. We will also go back to some of the key definitions and proofs from 1A and put them on a solid basis. To have time for this, I will spend much less time working at the blackboard computations just like those in the book than is done in non-honors courses.

I don't expect the grading scale to be either higher or lower than for 1B, but you will have to do more thinking to get a good grade; hopefully, you will enjoy this. If you start H1B but find in a few weeks that it is not the course for you, it should be possible to transfer to regular 1B and not be at a disadvantage.

My discussion of the material in each lecture will be based on the assumption that you have done the assigned reading for that day! You will be expected to submit a *question* on each day's reading by the start of class; preferably by e-mail an hour or more before. (Details will be given in the first-day course handout. In particular, if you understand the reading thoroughly and have no questions about it, you should submit a *pro forma* question about it – with the answer.)

If you are uncertain whether to take H1B, contact me, gbergman [at] math [dot] berkeley [dot] edu, and we can either discuss this by e-mail, or arrange for you to come by my office and discuss it.