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Instructor: Matt Kerr, matkerr [at] wustl.edu Office: Cupples I, Room 114 Office Hours: Tuesday 12-1, Friday 4-5 Assistants (AIs): Rachel Wu (rachelwu [at] wustl.edu) and Devin Akman (akman [at] wustl.edu) Office Hours: 4-5 Monday in Room 6 (Devin), 10-11 Tuesday in Room 8 (Rachel) (The AIs run the two discussion sessions.) Course Outline: This is the second half of a one-year calculus sequence with an emphasis on rigor and proofs. It will focus on elements of matrix algebra (linear systems, determinants, eigenstuff, diagonalization, spectral theorem), differential equations, and multivariable calculus (functions of several variables; vectors fields and the theorems of Green, Gauss, and Stokes). Over the course of both semesters of Honors Mathematics (Math 203-204), the goal is to cover the material in Calculus I,II,III (in a more abstract way) and some of Matrix Algebra and/or Differential Equations, depending on the interests of the class and the instructor. This class meets every day of the week, which helps us to achieve these goals. Prerequisite: Math 203. Class and Exam Schedule: Lectures are on M/Tu/W/Th from 11-11:50 AM, in Lopata Hall Rm. 302. There are two discussion sessions, one mandatory and one optional. The mandatory session is on Friday at the same time and place as the class. The optional session is on Monday 10-11 in Cupples I Room 199 and is focused on homework. The first class is on Tuesday Jan. 16 and last class is on Friday Apr. 26. Spring Break is March 11-15. Midterm Exam 1: TBA Midterm Exam 2: TBA Final Exam: Tuesday, May 7, 10:30-12:30, in Lopata Hall Room 302 Regarding missed exams, see the Grading Policy section below. Neither notes nor calculators are allowed, but the exams will not be computationally heavy. The Final is cumulative. Assignments: These will be due by Gradescope submission Tuesday by 5PM and returned by the end of the week. Solutions will also be posted on Canvas and may include students' work. Please feel free to come to Instructor and AI office hours to discuss problem sets (and exams) -- that's what they're for! Grader: Zijing Zhuang, z.zijing [at] wustl.edu HW #1 (due Jan. 23): p. 35: #21,23; p. 42: #23,26; p. 57: #4,7,8,11; p. 67: #1,2,9,10 HW #2 (due Jan. 30): p. 50: #5,6,8,16,19; p. 67: #12,15; p. 69: #7,8,9 HW #3 (due Feb. 6): p. 80: #2,3,4; p. 85: #5,7; p. 94: #1(c),3(c),5(b),7,8 HW #4 (due Feb. 13): p. 101: #1,2,4,9; p. 107: #7(b,c),11,14; p. 112: #4(b),6,7; p. 124: #1,7,8; p. 134: #6,17 HW #5 (due Feb. 20): p. 118: #9,10; p. 125: #9; p. 141: #2,3,6,11; p. 154: #4,10,13; p. 166: #4,8,12,13,14 HW #6 (due Feb. 27): p. 177: #1,4; p. 188: #1,12,15; p. 195: #2(c),8; p. 205: #5(a),7,10,13 [Warning: In p. 177 #1, Apostol writes (6.41) when he means (6.39)] HW #7 (due Mar. 5): p. 211: #2,3; p. 245: #1(a,b),2(g,j),4(a),5(c,d,e); p. 251: #2,4,5,6; p. 256: #2(a),11,20; p. 262: #1(a,b),2(a),10 HW #8 (due Mar. 20): p. 268: #1,6,8,10; p. 275: #12,14; p. 281: #4,12(a); p. 286: #2,4; p. 292: #2,4,5,6 HW #9 (due Mar. 27): p. 302: #4; p. 313: #8,13,23,24,25; p. 318: #5,8,11,13 HW #10 (due Apr. 3): p. 328: #1,5,12; p. 331: #9; p. 336: #6,7,8,9; p. 345: #10,12,13; p. 349: #3 HW #11 (due Apr. 17): p. 362: #4,8,13; p. 371: #3,6,17,19; p. 377: #5,19; p. 385: #2,8(a); p. 391: #1; p. 399: #8,18; p. 413: #2,5,24 HW #12 (due Apr. 24): p. 424: #6; p. 429: #5,6,9; p. 436: #4,7,8; p. 442: #2,5,10; p. 447: #1(c),5; p. 452: #3,8: p. 462: #1,2,13 Books: Tom Apostol, Calculus, Vol. II (2nd Edition), Wiley, 1969 is the text for this class. You should have your own copy because the homework assignments will come from here, and we will mostly follow it in lectures. Lectures and Quizzes: In the calendar below I will post my notes for each lecture (after the class takes place). Click on the "Lec X" link for the notes. The sections covered in the lecture will also be displayed in the table (though these sections may not be covered in full). The "week of" date refers to Monday. The lecture notes are intended to help you prepare for exams, fill in bits you may have missed in lecture, or even avoid taking notes altogether. They are not intended, however, as a substitute for class attendance and reading the book. Each Friday discussion section will begin with a short (1-page) quiz or groupwork. Solutions will be uploaded to Canvas.
Grading Policy: Homework and examination grades will be regularly updated on canvas. Your final grade for the semester is determined as follows: HW 40%, midterms 25%, final exam 25%, quizzes 10%. I will drop the lowest two grades you receive on homework and the lowest two grades you receive on quizzes. Curving and grade scale: In the event that the average score on any exam is less than 75%, all exam scores will be adjusted upward by adding a constant to everyone's score (so that the average is 75%). No adjustment is made if the average is above 75%. The grade scale is as follows:
The Pass/Fail policy is that you must get at least a C- to earn a "Pass". If you have to miss a midterm exam for a legitimate reason, you will be given an excused absence for that exam, and your grade will be calculated from the homework and other taken exams. Of course verified illness and serious family emergency are legitimate reasons. Regarding other conflicts, e-mail me as soon as you know about them. Verified illness and serious family emergency are in general the only acceptable reasons for missing the final exam. In this event, you will be given a makeup exam. To have any excused absence approved, please contact the Instructor by e-mail (and cc the AIs). This link takes you to the standard university policies on academic integrity. Academic Support: While PLTL, Residential Peer Mentoring, etc. do not exist for accelerated courses like Math 204, the Learning Center does help students develop general academic skills (including things like note-taking, time management, and active study skills). If you feel this could be beneficial for you don't hesitate to contact them. But in a class like this your best academic support comes from your peers (discussing in groups to solve harder HW problems is encouraged, though solutions should be written up independently) and from the Instructor and AIs in their office hours. |