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Instructor: Matt Kerr, matkerr [at] wustl.edu Office: Cupples I, Room 114 Office Hours: 3-4 Wed, 12-1 Fri, 8-9pm Mon (on Zoom, starting Sep. 11) Assisstant (AI): Rachel Wu, rachelwu [at] wustl.edu Office Hours Location: Cupples I Room 8 Office Hours: 1-2 Mon, 10-11 Tue (The AI runs the discussion sessions.) Course Outline: This is the first half of a one-year calculus sequence with an emphasis on rigor and proofs. While self-contained, it will pass only quickly over the more mechanical aspects of calculus. Topics in the first semester include the Riemann-Darboux integral, limits and continuity, differentiation, the fundamental theorem of calculus, sequences and series (of real numbers and of functions), and vector spaces. 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: A score of 5 on the AP Calculus BC exam, or equivalent. Class and Exam Schedule: Lectures are on M/Tu/Th/F from 11-11:50 AM, with M/F in Cupples I Room 199 and Tu/Th in January Hall Rm. 10A. Discussion sessions are (with occasional exceptions) on Wednesday 11-11:50 AM in Cupples I Room 199. The first class is on Monday Aug. 28 and last class is on Friday Dec. 8. Holidays are Sept. 4 (Labor Day), Oct. 9,10 (Fall Break) and Nov. 22,23,24 (Thanksgiving). Midterm Exam 1: Friday, Oct. 13 (in class) Midterm Exam 2: Thursday, Nov. 16 (in class) Final Exam: Tuesday, Dec. 19, 10:30-12:30, in January Hall Room 10A. 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. (Occasionally HW will be due a different day.) Solutions will 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: Corr Chen, c.hongyu [at] wustl.edu HW #1 (due [Thurs.] Sept. 7): p. 8 #3; p. 28 #3,5; p. 36 #5,10; p. 45 #11,12,13. HW #2 (due [Tues.] Sept. 12): p. 57 #9; p. 60 #4,5; p. 64 #5,7(a); p. 70 #5,16; p. 83 #20. HW #3 (due Sept. 19): p. 94 #12,18; p. 104 #15,31; p. 110 #13; p. 114 #13; p. 116 #5; p. 119 #22; p. 124 #15. HW #4 (due Sept. 26): p. 138 #21; p. 142 #16; p. 145 #1,5; p. 155 #2,7; p. 168 #24,25,33,39; p. 173 #6,15. HW #5 (due Oct. 3): p. 179 #5,25,32; p. 186 #1,5,8(a); p. 191 #4; p. 195 #21; p. 209 #21,27; p. 216 #19,26; p. 220 #8 HW #6 (due [Mon.] Oct. 16): p. 237 #27-29; p. 242 #1; p. 249 #30,39-41; p. 257 #4,26,33,42; p. 267 #6,10,32,33 HW #7 (due [Thurs.] Oct. 19): p. 278 #7; p. 285 #4,9; p. 291 #22,32; p. 295 #11,13; and show sin(1) irrational HW #8 (due [Wed.] Oct. 25): p. 303 #26,31; p. 311 #4; p. 319 #2,9,13,18; p. 328 #6,14,23 HW #9 (due Oct. 31): p. 333 #16; p. 339 #1,9; p. 344 #4,11; p. 347 #10,14; p. 356 #31; p. 365 #1,3,6; p. 371 #4,5(b),6,7,13 HW #10 (due Nov. 7): p. 382 #5,17; p. 391 #3,4,14; p. 393 #5; p. 398 #4,7,8,15; p. 402 #3; p. 409 #8,10,16,35; p. 414 #18(a-b); p. 420 #11,17(a) HW #11 (due Nov. 14): p. 430 #9,18; p. 438 #4,17,24; p. 443 #10,11 HW #12 (due Nov. 21): p. 456 #3,17,20,21; p. 460 #2,4,12; p. 467 #6,10,13(a-b); p. 477 #4,8; p. 482 #6(b),12,14 HW #13 (due Dec. 1): p. 487 #3(a), 8; p. 492 #9,18; p. 496 #5,7,19; p. 503 #9; p. 508 #7,25; p. 509 #11; p. 516 #7,17; p. 524 #6,10; p. 528 #6,12; p. 535 #11,22 HW #14 (due Dec. 8): p. 539 #1(part 6),10; p. 543 #2(a), 5; p. 550 #22; p. 560 #8,15,23(h),24; p. 566 #1(c),10,14; p. 576 #2,3,5,8 Books: Tom Apostol, Calculus, Vol. I (2nd Edition), Wiley, 1991 is the text for this class. (Apostol's Vol. II will be the text for Math 204.) 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 Wednesday discussion section will begin with a short (1-page) quiz. Solutions will be appear on 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 AI). 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 203, 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 AI in their office hours. |