Introduction to Advanced Mathematics, MATH 215, CRN 34246, Spring 2016


Instructor: Christian Rosendal, room 416 SEO

Course webpage: http://homepages.math.uic.edu/~rosendal/WebpagesMathCourses/MATH215-2016.html

Required text: P. Eccles, An Introduction to Mathematical Reasoning, Cambridge University Press.

Course syllabus: We shall cover Parts I-V of the book.

Course hours and location: Monday - Wednesday - Friday, 10:00-10:50 AM in BSB 311.

Office hours: Monday 3:15-5:00 in my office SEO 416.

Reading: I will assign chapters from the book that I will try to cover every week. A good strategy is to read every section before it is covered it class, take notes and gain additional understanding during class, and the reread the section and do the assigned homework exercises at the end of the week. Apart from the assigned homework exercises that have to be handed in, I may assign additional exercises that you should do on your own. The material covered in exercises constitute an integral part of the exam syllabus and will greatly help you assimilate the theoretical material.

Homework: There will be 10-11 homework sets due in the course of the semester. These should be handed in to me at the beginning of class on the due date. No late homework will be accepted, so any homework handed in after the deadline will be credited for 0 points. When calculating the homework grade, the lowest score will be dropped. So, e.g., if you have missed one homework set, then this will be counted as your lowest score.

Midterms: There will be two midterms each taking place during regular class hours. These will take place on:
  • 1st midterm: February 17th
  • 2nd midterm: March 30th
The midterms and final exam will consist of exercises resembling the homework exercises. So doing exercises equals good exam preparation.

To be excused from a midterm you will need to provide a valid excuse and a letter from the doctor to this effect. You will not have the chance to make up an exam, so if you are excused from a midterm your midterm grade will be the score on your other midterm. It is your responsibility to be in time for an exam, not your alarm clock's.

Final exam: Friday May 6th 10:30-12:30.

Grade: Your grade will be a weighted average of your homework, midterm, and final grades calculated as follows:
  • Homeworks: 20 %
  • Midterms: 40 %
  • Final: 40 %


Weekly programme:
  • Week beginning on January 11th: Read chapters 1 and 2.
  • Week beginning on January 18th (note Monday is off due to Martin Luther King's day): Read chapters 3 and 4.
  • Week beginning on January 25th: Read chapters 5 and 6.
  • Week beginning on February 1st: Read chapter 7.
  • Week beginning on February 8th: Read chapters 8 and 9.
  • Week beginning on February 15th: Read chapter 10. 1st midterm.
  • Week beginning on February 22nd: Read chapters 11 and 12.
  • Week beginning on February 29th: Read chapters 13 and 14.
  • Week beginning on March 7th: Read chapters 15 and 16.
  • Week beginning on March 14th: Read chapters ?.
  • Week beginning on March 21st: Spring break.
  • Week beginning on March 28th: 2nd midterm.
  • Week beginning on April 4th: Read chapters ?.
  • Week beginning on April 11th: Read chapters ?.
  • Week beginning on April 18th: Read chapters ?.
  • Week beginning on April 25th: Review and catch up.
Homework sets:
  • Due 01/22: HW1
  • Due 01/29: HW2
  • Due 02/05: From problem section I pages 53-57, do problems 12, 13, 14, 17
  • Due 02/12: From problem section II pages 115-119, do problems 4, 5, 6, 9, 11, 12, 13.
  • No homework due 02/20. First midterm. Practice exercises: 1.3, 1.4, 2.4, 2.5, 2.6, 3.1, 3.2, 3.5, 3.6, 4.1, 4.5, 4.7, 5.1, 5.2, 5.4, 5.6, 6.4, 6.5, 7.1, 7.4, 8.1, 8.3, 8.5, 9.1, 9.3, 9.4, 9.5
  • Due 02/26:
  • Due 03/04: From problem section II pages 115-119, do problems 14, 15, 16, 17, 18. From problem section III pages 182-187, do problems 3, 4, 7.
  • Due 03/11: 12.1, 12.2, 12.3, 12.4, 12.5, 12.6
  • Due 03/18: 13.1, 13.5. From problem section III pages 182-187, do problems 1, 2, 18, 21.
  • No homework due 04/03. Second midterm.
  • Due 04/08:
  • Due 04/15: From problem section IV pages 225-228, do problems 1, 2, 3, 4, 6, 7.
  • Due 04/22: From problem section IV pages 225-228, do problems 10, 13, 14, 15.
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