Honors Mathematics

Math 204, Spring 2018
Honors Mathematics II

Instructors

Xiang Tang, Cupples I, 112B, xtang@math.wustl.edu

Text

Calculus, Volume II by Tom Apostol, (Wiley) Second Edition, 1967.

Reference

Vector Calculus, by Jerrold Marsden and Anthony Tromba.
Multivariable Mathematics: Linear Algebra, Multivariable Calculus, and Manifolds by Theodore Shifrin.

Office Hours

Monday 3-4, Tuesday 10-11, Friday 12-1, and by appointment.

Course Webpage

http://www.math.wustl.edu/~xtang/spring2018-hmath.html

Prerequisites

Math 203

Assistant of Instructor

Tokio Sasaki, sasakitokio@wustl.edu. Office hour: Monday 12-1, Friday 3-4 at Cupples I, 199.

Lectures

You are strongly suggested to attend the lectures. No talk, food and drinking is allowed in class. Please close your cell phone or change it to ``silent". Information about materials covered and homework assigned every week will be updated on the course website.
The Discussion Sections, led by our AI, Tokio Sasaki, will be held on Thursday at 11-12. Quizes will be given in the discussion sections. Quizes are scheduled on Feb. 1st, Feb. 15, March 22, April 19.

Homework

You will have graded homework turned in every Tuesday by 11 a.m. Late homework will not be accepted! The homework collected is to be considered a bare minimum of homework that you should do. You are encouraged to do more problems in the exercieses sections.
Put the following information at the top left corner of each page of your homework: full name, student ID, and the due dates. Your turned in homework will be graded on several factors including accuracy and neatness. It is your responsibility to make sure the grader can understand your work.
Homework is an extremely important part of the course. Whilst talking to other people about it is allowed, too often this degenerates into one person solving the problem, and other people copying them (often justified to themselves by saying "I provide the ideas, X does the details" - but the details are the key. If you can't translate the idea into a real proof, you don't understand the material well enough). So we introduce the following rules:
(a) You can only talk to someone else about a problem if you have made a genuine effort to solve it yourself.
(b) You must write up the solutions on your own. Suspiciously similar write-ups will receive 0 points.

Exams

There will be two midterms and one final. The following is the schedule

Exam 1	March 2nd	11-12
Exam 2	April 6th	take home
Final	May 3rd	10:30-12:30

Exam Materials You should bring the following equipment to each exam:

Your Washington U photo ID card
Several pencils (with erasers)
3x5 note card with any helpful notes you care to make.

Please do not bring the following with you to your exam:

Notes other than the 3x5 card
Scratch paper (there is plenty of room to write on the test booklet)
Non-approved calculators

Grading scale

Homework: 20%, Quiz: 10%, Mid1: 20%, Mid2: 20%, Final: 30%. The grades are assigned according the percentage you are in the class.
You are expected to take the exams at their scheduled times. If you are away because of a university sporting event or field trip, then you may arrange for your coach or professor to administer the exam. Excused absences may be granted in the case of illness or bereavement. All excused absences must be granted before the exam is taken. The final exam date cannot be changed for reasons of traveling convenience.
Letter grades will be given based on your overall score. The cutoffs for the various letter grades will be no higher than the following:

A-	85
B-	70
C-	55
D	50

In total, we will collect 11 homework. You are allowed to drop the lowest homework score.
The score of the final test can be used to replace the lowest midterm exam score.

Calculator

You are NOT allowed to use a graphing calculator on the exams. You will be allowed to use a scientific calculator, (for example, a TI30X, generally available for $13 or less). Be sure the calculator you choose can handle logarithmic, exponential, and trigonometric calculations. It would be wise to use this calculator when you work your homework problems so you will be comfortable with it when you take the exams.

Homework assignments

Week 1 (Due 01/30) 2.4 25,27,30; 2.8 12,20,28. Optional Exercises: 2.4 26,28,29; 2.8 23,25,29.
Week 2 (Due 02/06) 2.12 5,7; 2.16 7,10; 2.20 2,11. Optional Exercises: 2.12 12,19; 2.16 11,12; 2.20 11,12.
Week 3 (Due 02/13) 4.4 2,4; 4.8 1(a),2,7(c);4.10 2(a),(b). Optional Exercises: 4.4 11,12; 4.8 9,10; 4.10 4.
Week 4 (Due 02/20) 8.3. 2(b),(l), 4; 8.5 1(b),(h), 4; 8.9 2,4. Optional Exercises: 8.3 5,8; 8.5 2,5; 8.9 3,7.
Week 5 Midterm week. Practice Midterm. Keys to Practice Midterm
Week 6 (Due 03/06) 8.9 14,16; 8.14 8,10; 8.17 4,8. Optional Exercises: 8.9 18,20; 8.14 1(b),(f),9; 8.17 3,5.
Week 7 Spring break
Week 8 (Due 03/20) 9.13 2,6,9,16,18,20. Optional Exercises: 8.24 3,4,12; 9.13 3,12,15.
Week 9 (Due 03/27) 9.13 10,13,14; 9.15 1,4,8. Optional Exercises: 9.13 21,23,25; 9.15 2,3,6.
Week 10(Due 04/03) 10.5 1,3,4; 10.9 2,7,8. Optional Exercises: 10.5 2,6,10; 10.9.1 1,36.
Week 11 Take-home exam.
Week 12(Due 04/17) 11.9 1,9; 11.15 1,10; 11.22 1,2. Otional Exercises: 11.9 2,11; 11.15 2,13; 11.22 2,4.
Week 13(Due 04/24) 11.28 15,17; 12.4 2; 12.6 2,6; 12.10 1. Optional Exercises: 12.4 3,4; 12.6 4,8; 12.10 2; 12.13 2.
Week 14 Practice Final. Optional Exercises: 12.13 3,4,6,7; 12.14 2,9.
Week 15 Practice Final Keys.