Math 1001: Excursions in Mathematics (Spring 2017)

Lecture: MWF 11:15-12:05 in Molecular Cellular Biology 2-120.

Instructor: Gregg Musiker (musiker "at" math.umn.edu)
(To ensure faster responses to emails, please include the course number 1001 in the subject line in email correspondences.)

Office Hours: (In Vincent Hall 251) Monday 2:00-3:00, Wednesday 1:10-2:00, and Friday 10:10-11:00

Teaching Assistant: Madeline Handschy (hands014 "at" umn.edu), Office Hours: (In Vincent Hall 520) Monday, Tuesday, Wednesday 12:20-1:10

Course Syllabus:     Syllabus

Course Description:

This course satisfies the Mathematical Thinking Core portion of the Liberal Education requirements at the University of Minnesota, and will provide a quantitative and analytical viewpoint for solving a number of every-day problems. Topics will deal with voting, fair division of assets, circuits and networks, money and finance, symmetry and patterns, probability and odds, and statistics and polling.

Textbook:

"Excursions in Modern Mathematics, 9th edition." by Peter Tannenbaum (2017, Pearson). We will cover most of chapters 1-7, 10, 11, and 14-17 of Tannenbaum's text.

Participation in class is encouraged. Please feel free to stop me and ask questions during lecture. Otherwise, I might stop and ask you questions instead.

Grading:

  • Quizzes (20%): Homework will be assigned in class every day and the assignment will be posted on the course webpage. Homework will not be collected and graded. Yet doing homework is absolutely indispensable for success in the course as mathematics is not a spectator sport. Problems on quizzes and exams will be very similar to the homework problems. A quiz will be given most Thursdays (starting the second week and excluding weeks when there are midterms). Quizzes will be based on the homework assigned during the preceding week. You cannot make up a quiz. Tentatively, there will be 9 quizzes in all, and the lowest quiz score will be dropped. The quizzes are handled exclusively by your TA's.

  • Exams: There will be three 50-minute-in-class midterms exams, on Friday September 29th (15%), Friday November 10th (15%), and Friday December 1st (15%).

    The final exam (35%) will be a comprehensive exam over all the material covered in the course (includes the above plus Chapter 11). All sections of Math 1001 take the same final exam on Friday December 15th.

    All quizzes and exams are closed book and closed notes, but a basic scientific calculator (that does basic arithmetic and exponentials) will be allowed. Graphing calculators or calculators that can do symbolic manipulations will not be allowed during exams and quizzes. As a courtesy to me and your fellow students, please turn your cell phone off before class starts. The use of your cellphone as a calculator on quizzes and exams is also prohibited.

    Make-up Exams will be allowed only under exceptional circumstances. You must notify the lecturer, not the TA, in advance. Exam absences due to recognized University related activities, religious holidays, verifiable illness, or personal/family emergencies will be dealt with on an individual basis. Except in extreme situations, any student missing the final exam will fail the course. Missing an exam is permitted only for the most compelling reasons.

  • Tentative Lecture Schedule and Suggested Exercises (Sections from Tannenbaum, 9th Ed.)

  • (Sept 6) Lecture 1: 5.1-5.2 (Chap 5: 1, 3, 4, 5, 6, 8, 9, 11, 13, 16, 17, 19, 21), Mathematics for Human Flourishing

  • (Sept 8) Lecture 2: 5.2-5.3 (UPDATED EXERCISES: Chap 5: 23, 25, 35, 41, 53, 60, 62, 73)

  • (Sept 11) Lecture 3: 5.3-5.4, 6.1-6.3 (Chap 5: 29, 33, 38 45, 67; Chap 6: 1, 4, 5, 7, 10)

  • (Sept 13) Lecture 4: 6.2, 6.4 (Chap 6: 13, 14, 17, 23, 27, 29, 31, 33, 55, 61), NASA: Cassini makes its final approach to saturn,

    Why NASA is crashing the $4 billion Cassini spacecraft into Saturn     Before NASA's Cassini flies into Saturn, take a look back at its best images

        Cassini's Mission to Saturn in 100 Images

  • (Sept 15) Lecture 5: 6.5, 7.1 (Chap 6: 47; Chap 7: 3, 4, 5, 7, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20, 23, 24)

  • (Sept 18) Lecture 6: 7.2-7.3 (Chap 7: 25, 27, 29, 31, 33, 35, 37, 41, 45, 51, 54, 55)

  • (Sept 20) Lecture 7: 10.1 (Chap 10: 1, 3, 5, 8, 9, 11, 13, 14, 15)

  • (Sept 22) Lecture 8: 10.2 - 10.3 (Chap 10: 17, 19, 25, 27, 29, 31, 35, 39)

  • (Sept 25) Lecture 9: 10.4 (Chap 10: 41, 43, 44, 45, 47, 49, 51, 53, 67)

  • (Sept 27) 10.5 and Review for Midterm 1 (Chap 10: 57, 59, 61, 62, 63, 65, 71, 72 for Thursday October 5)

  • (Sept 29) Midterm 1 (Covers Chapters 5, 6, 7 and 10.1-10.4)

  • (Oct 2) Lecture 10: 10.5, 1.1 and going over Midterm 1 (Chap 10: 57, 59, 61, 62, 63, 65, 71, 72, Chap 1: 1, 3, 9)

  • (Oct 4) Lecture 11: 1.2-1.5 (Chap 1: 11, 13, 15, 21, 23, 27, 28, 29, 31, 33, 35, 37, 39, 41, 43, 45, 61, 64)

  • (Oct 6) Lecture 12: 1.6 (Chap 1: 51, 52, 53, 54, 55, 56, 57,58, 59, 60, 66, 72, 73, 74, 75), Math Fun Facts: Arrow's Impossibility Theorem

  • (Oct 9) Lecture 13: 2.1-2.2 (Chap 2: 1, 2, 3, 5, 7, 9, 11, 13, 14, 15, 16, 19, 21)

  • (Oct 11) Lecture 14: 2.2, 2.4 (Chap 2: 23, 24, 25, 26, 39, 40, 41, 42, 43, 45, 47)

  • (Oct 13) Lecture 15: 2.4 (Chap 2: 57, 60, 62)

  • (Oct 16) Lecture 16: 2.3, 3.1 (Chap 2: 27, 29, 31, 33, 35, 37, 51, 53, 55, 56, 59, 69 , Chap 3: 1, 3, 5, 7)

  • (Oct 18) Lecture 17: 3.2-3.4 (Chap 3: 15, 17,19, 21, 23, 25, 27, 29, 33)

  • (Oct 20) Lecture 18: 3.4-3.5 (Chap 3: 35, 37, 43, 45, 47)

  • (Oct 23) Lecture 19: 3.5-3.6 (Chap 3: 49, 51, 53, 55, 57, 59) NYT Fair Division Rent Calculator

  • (Oct 25) Lecture 20: 4.1-4.4 (Chap 4: 1, 3, 4, 5, 7, 8, 11, 13, 14, 15, 19, 23, 25, 27, 31, 35, 37)

  • (Oct 27) Lecture 21: 4.5-4.6 (Chap 4: 41, 43, 45, 47, 49, 51, 53, 55, 57, 58, 59, 61, 62) A little history of Apportionment
    Summary from Census Bureau

  • (Oct 30) Lecture 22: Interlude: Geometry of Voting and Section 15.1 (Chap 5: 1, 2, 3, 5, 7, 11, 12, 21) 10 worst infographics from Mammoth
    Slides regarding Math behind Gil vs Whitford

  • (Nov 1) Lecture 23: 14.1-14.2 (1, 3, 5, 7, 9, 17, 18, 19, 20)

  • (Nov 3) Lecture 24: 14.2-14.3 (15, 16, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 37, 38, 39, 40) NYT Article about Coffee From May 2012

  • (Nov 6) Lecture 25: 15.2-15.3 (23, 25, 27, 29, 31, 33, 35, 36, 37, 43, 45, 47, 49, 51, 53, 55)

  • (Nov 8) Lecture 26: Review for Midterm 2

  • (Nov 10) Midterm 2 (Covers Chapters 1, 2, 3, 4, 14, and 15)

  • (Nov 13) Lecture 27: 16.1, 16.3 (1, 2, 3, 4, 5, 7, 9, 11, 13, 14, 15, 37, 39, 40, 41)

  • (Nov 15) Lecture 28: 16.2-16.3 (17, 18, 19, 20, 23, 27, 29, 33, 35, 36, 42, 43, 45, 47 49, 51)

  • (Nov 17) Lecture 29: 16.4-16.5 (57, 58, 59, 60, 61, 63, 64, 65)

  • (Nov 20) Lecture 30: 17.1-17.2 (Chap. 15: 55, 56; Chap. 17: 1, 3, 5, 7, 9, 11, 13, 15, 17, 23, 25, 29, 31, 33, 39)

  • (Nov 22) No class due to Thanksgiving

  • (Nov 24) Happy Thanksgiving!

  • (Nov 27) Lecture 31: 17.3 (35, 37, 41, 43, 45, 47, 48, 49, 51, 53, 55)

  • (Nov 29) Lecture 32: 17.4 and Review for Midterm 3 (57, 59, 60, 61, 62, 63, 64)

  • (Dec 1) Midterm 3 (Covers Chapters 16 and 17 - which also builds on Chapters 14 and 15)

  • (Dec 4) Lecture 33: 11.1-11.4 (1, 3, 5, 7, 13, 15, 17, 19, 21, 23, 25)

  • (Dec 6) Lecture 34: 11.5-11.7 (29, 31, 35, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 51, 53, 55, 57, 59, 61),
    Guide to Symmetry in the Art of M.C. Escher

  • (Dec 8) Lecture 35: 13.1, 13.2, 13.4 (1, 3, 13, 17, 25, 27, 55)

  • (Dec 11) Lecture 36: Review for Final Exam (Sample Finals available from UMN Library Webpage and Course Reserves: Most relevant are 1) Fall 2009, 2) Spring 2005, and 3) Spring 2003
    - note that this third exam was uploaded out-of-order)

  • (Dec 13) Lecture 37: Review for Final Exam II (For Fall 2009, ignore Questions 12, 14; For Spring 2005, it is essentially the right concepts but the 2017 Final Exam will cover
    a few more topics and be 3 hours rather than 2; For Spring 2003, ignore Questions 7, 8, 48, 49.)

    Also, while the concepts on Spring 2003 are relevant, the 2017 Final Exam will not be 50+ multiple choice questions.
    Also be prepared for topics from Chapters 11, 13, and 17.

  • (Dec 15) Final Exam (Mechanical Engineering Building, Room 18, 12:00 - 3:00 pm)