MTH 174 "Honors Calculus IV"

Course Number
Time
Location
Instructor
Office Hours
E-mail
30093 MW 10:25-11:40 201 Hylan Building Dan-Andrei Geba MW 13:10-14:10 or by appointment, 806 Hylan Building dangeba@math.rochester.edu

Syllabus: Our aim is to cover the second part of the textbook, which is comprised of chapters 8-12.

Prerequisites: MTH 173 or permission of instructor.

Textbook: "Calculus - Volume II" (2nd edition) by Tom M. Apostol, John Wiley & Sons.

Apart from the textbook, the following extra resource will be on reserve at Carlson Library:

A more advanced online resource is the book by Lynn H. Loomis and Shlomo Sternberg entitled "Advanced calculus", which can be found here.

Course philosophy: This is a first course in multivariable calculus. It will contain all the information, pertinent to the subject, that is considered to be essential for the education of an honor math major. We will continue to work on improving your proof-writing skills and on developing independent reading skills, as reading assignments will be assigned weekly.

This course is challenging and requires time commitment. Proficiency will be achieved only by hard work, massive problem solving, and active participation in class discussions. Please take advantage of my office hours.

Grading: the best of Homework 30% + Midterm 30% + Final 40% and Homework 30% + Final 70%.

Homework

Homework is assigned weekly on Wednesday, starting 1/25. It will be due in eight days (i.e., the following Thursday) after it was assigned. It is supposed to be turned in to Mrs. McKnight, in Hylan 915, by 10:00 on the respective Thursday. There will be twelve homework sets, from which the best ten count towards your grade. Late homework is not accepted.

There will be about 10 problems per homework from which 3, arbitrarily chosen, will be graded. Each of these problems is worth 3 points and, for a maximum grade of 10, 1 point will be awarded for substantial efforts on all of the homework problems.

Workshop

There is going to be one weekly workshop held in connection with this class, starting during the week of 1/30 and leaded by Bai Lin, the graduate teaching assistant for this class. It is meant to answer any questions you might have regarding the material covered in lectures and the homework. However, these questions will be answered only after a serious attempt on your part to understand the issue at hand. The time and location of the workshop are Tuesdays, 18:10-20:10, in 1106B Hylan Building.

Exams

The Midterm was an in-class exam on Wednesday, 3/8.

The Final will be on Wednesday, 5/10, 12:30-15:30, in a room TBA. It will be mostly on the material covered after the midterm, though there may be some problems on material pertinent to the midterm.

Course policies

1. The course average is not based on a curve, nor on previously fixed scales. It will reflect how well the class is doing, and it will be high if everyone is working hard for the homework and is performing well on the exams.

2. Incomplete "I" grades are almost never given. The only justification is a documented serious medical problem or a genuine personal/family emergency. Falling behind in this course or problems with workload on other courses are not acceptable reasons.

3. If you miss the Midterm with a valid excuse (e.g., illness or emergency), you must notify the instructor and provide supporting documentation verifying your excuse as soon as possible. For a valid excuse with supporting documentation, the Final will count as your make-up test (i.e., the Final will count towards 70% of your grade). If you miss the Final, you are in trouble. No make-up exams will be given for any reason. If you miss an exam without a valid excuse (and supporting documentation), you will receive a score of 0 on that test.

4. You are responsible for knowing and abiding by the University of Rochester's academic integrity code. Any violation of academic integrity will be pursued according to the specified procedures.

Tentative weekly schedule:


Week of Topic Reading assignment Homework
1/16 Sections 8.1, 8.2, 8.4 Sections 8.6-8.8, 8.10-8.13, 8.15, 8.16
1/23 Sections 8.4, 8.6-8.8, 8.10-8.13 Sections 8.15, 8.16, 8.18-8.21, 8.23 Homework 1 (due 2/2):
exercises 4, 5, and 7 from Section 8.5;
exercises 18, 19, 20, and 22 from Section 8.9;
exercises 3, 8, and 10 from Section 8.14.
1/30 Sections 8.13, 8.15, 8.16, 8.18-8.21 Sections 9.1, 9.2, 9.4, 9.6, 9.7, 9.9 Homework 2 (due 2/9):
exercises 3, 7, and 10 from Section 8.17;
exercises 3, 5, and 12 from Section 8.22;
exercises 3, 6, 8, and 14 from Section 8.24.
2/6 Sections 9.1, 9.2, 9.4, 9.6, 9.7 Sections 9.9-9.12, 9.14, 9.16, 9.17 Homework 3 (due 2/16):
exercises 5, 7, and 10 from Section 9.3;
exercises 2 and 4 from Section 9.5;
exercises 3, 5, 7, 9, and 11 from Section 9.8.
2/13 Sections 9.9-9.12 Sections 9.14, 10.1-10.4, 10.6-10.8 Homework 4 (due 2/23):
exercises 8, 10, and 12 from Section 9.8;
exercises 8, 11, 16, 18, 20, 23, and 25 from Section 9.13.
2/20 Sections 9.14, 10.1-10.4, 10.6-10.7, 10.10, 10.11 Sections 10.12, 10.14-10.17, 10.19 Homework 5 (due 3/2):
exercises 5, 9, 11, and 13 from Section 9.15;
exercises 4, 10, and 12 from Section 10.5;
exercises 5, 8, and 10 from Section 10.9.
2/27 Sections 10.12, 10.14-10.17 Section 10.21 and study for the midterm exam Homework 6 (due 3/9):
exercises 3 and 5-10 from Section 10.13;
exercises 3, 5, and 8 from Section 10.18.
3/6 Sections 10.19, 10.21, Midterm exam (3/8) (Practice midterm problems)
3/20 Discussion of the midterm exam, Sections 11.1-11.8 Sections 11.10-11.14, 11.19-11.21 Homework 7 (due 3/30):
exercises 2, 4, 6, 7, 9, 10, 12, and 14 from Section 11.9.
3/27 Homework 8 (due 4/6):
4/3 Homework 9 (due 4/13):
4/10 Homework 10 (due 4/20):
4/17 Homework 11 (due 4/27):
4/24 Homework 12 (due 5/4):
5/1 Study for the final exam

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