E13 & E14: 1:00pm–1:50pm on Monday, Wednesday and Friday in 341 Altgeld.

Announcement:

Professor Hildebrand is running an undergraduate math contest at U of I. Here's information for those interested:

U of I Undergraduate Math Contest

Saturday, March 3, 10 am - 1 pm

245 Altgeld Hall

Contest website

Extra office hours:

May 8th, 2012: 3-4pm.

May 9th, 2012: 2-4pm.

This course will be significantly different from calculus courses. The solutions to the problems will require more creativity and effort, and in particular, it will not be possible to succeed in this course merely by memorizing the techniques you see in class or in the textbook. To be able to solve the problems in this course, it is hightly recommended that you participate actively in lectures, and put in a lot of effort into solving the homework problems on your own before discussing with others.

The first four chapters in the Strayer text form the core material. We will cover these chapters, and selected topics from the remainder of the text, depending on the time available and student interest.

Be sure that your final write-up is clean and clear and effectively communicates your reasoning to the grader. In particular, proofs should be written in full sentences and contain all the necessary details.

You can discuss the homework problems with others, but you must write up solutions independently, on your own. This is important practice, and will help you do well in the exams in this course. No late assigments will be accepted; however, your lowest two homework scores will be dropped.

There will be no make-up exams. Instead, if you miss an exam and have a valid excuse, the exam will be marked as excused. An "excused" exam means that it will not not be taken into account in the computation of your grade. Valid excuses include illness, an out-of-town job interview, etc., and must be documented by a letter from the Dean or Emergency Dean; see the Emergency Dean's website for more information on this.

Homework: | 20% |

Midterms: | 20% each, 40% total |

Final Exam: | 40% |

Be sure to consult the syllabus for homework policies, especially with regards to collaboration, write-up standards and submission. The warm-up questions are not to turn in - they are usually quick computational problems with answers at the back of the book. However, they are valuable practice, and you should know how to do these for the exam.

Turn in homework at the beginning of Wednesday's lecture; if you need to miss that class for any reason, please ask someone to bring it in for you or contact me to make alternate arrangements.

Assignment 1:

Warm-up questions (not to turn in): Section 1.1: 3 a - c, 4, 5, 7, Section 1.2: 17, 21

Questions to turn in: Section 1.1: 2, 10, 11, Section 1.2: 22, 23, 30. Solution Outline

Assignment 2:

Warm-up questions (not to turn in): Section 1.3: 32 a - d, 34 a-d, 35, 38, Section 1.4: 54 a-d.

Questions to turn in: Section 1.2: 26, Section 1.3: 33 a - b, 36, 41, 42, Section 1.4: 55. Solution Outline

Assignment 3:

Warm-up questions (not to turn in): Section 1.5: 59 a - d, 60 a-c, 63 a-b, 64, 67 Section 2.1: 1 a-d.

Questions to turn in: Section 1.3: 50, Section 1.4: 56, Section 1.5: 61a-b, 68, 72a-b (the phrasing in the text is slightly misleading; there is a case where there are infinitely many possibilities - for this case, you should state what the possiblities are and justify with proof), 76 (you can use 14a without proof). Solution Outline

Assignment 4:

Warm-up questions (not to turn in): Section 2.1: 4 a - d, 5, 8, 9, Section 2.2: 28 a-b, 29 a-b.

Questions to turn in: Section 2.1: 3, 13, 17, 20, Section 2.2: 28 e-f, 29 e-f. Solution Outline

Assignment 5 (due Feb 22) :

Warm-up questions (not to turn in): Section 2.3: 33, Section 2.4: 42 a-d, 43, Section 2.5: 50, 51.

Questions to turn in: Section 2.2: 32, Section 2.3: 34, 36, Section 2.4: 44, 46 (assume p>2), Section 2.5: 52. Solution Outline

Assignment 6 (due Feb 29, shorter due to midterm) :

Warm-up questions (not to turn in): Section 2.5: 53, 54, Section 2.6: 66.

Questions to turn in: Section 2.5: 57b-c, 58, Section 2.6: 67. Solution Outline

Assignment 7 (due March 7th) :

Warm-up questions (not to turn in): Section 2.6: 68a-b, Section 3.1: 1, 2, 5a-d, Section 3.2: 10.

Questions to turn in: Section 2.6: 68c-d, 69, 73, Section 3.1: 5g-h, Section 3.2: 9, 14. Solution Outline

Assignment 8 (due March 14th) :

Warm-up questions (not to turn in): Section 3.3: 29, 30, Section 3.4: 41, 42, 43.

Questions to turn in: Section 3.1: 7, Section 3.2: 20, 24, Section 3.3: 35, 39, Section 3.4: 46. Solution Outline

Assignment 9 (due March 28th) :

Warm-up questions (not to turn in): Section 3.5: 52, 53, Section 3.6: 62, 63.

Questions to turn in: Section 3.4: 47, 49, Section 3.5: 55, 57, Section 3.6: 64, 65 (assume p is prime) Solution Outline

Assignment 10 (due April 4th) :

Warm-up questions (not to turn in): Section 4.1: 1, 2, 3, Section 4.2: 12, 13.

Questions to turn in: Section 4.1: 6, 8 (you might want to prove #47 in Chapter 2 - note that we already proved 47a in class so you don't need to prove it again), Sec 4.2: 14d-f, 15, 16, 17. Solution Outline

Assignment 11 (due Friday,April 13th) :

Warm-up questions (not to turn in): Sec 4.3: 28, 29.

Questions to turn in: Sec 4.3: 30, 32, 33. Solution Outline

Assignment 12 (due Friday,April 20th) :

Warm-up questions (not to turn in): Sec 6.3: 13.

Questions to turn in: Sec 4.3: 35, Sec 6.3: 14, 15, 16cd, Sec 6.4: 20, 21. Solution Outline

Assignment 13 (due at the beginning of lecture, Friday, April 27th OR Monday, April 30th, whichever you prefer) :

Warm-up questions (not to turn in): Sec 6.1: 1, 2a-d, 6.2 11a-b, 7.1: 1, 2.

Questions to turn in: Sec 6.1: 3, 6, Sec 6.2: 11c-e, 12, Sec 7.1: 5b-c. Solution Outline

- All of Chapter 1.
- Chapter 2, 2.1-2.4.
- Chapter 2, 2.5-2.7.
- Chapter 3.
- Chapter 4, 4.1-4.2.
- Chapter 4, 4.3, as it is covered in class.
- Chapter 6, 6.1-6.4.
- Chapter 7, 7.1.

E13 & E14: Afternoon section - first midterm will be held in class on Monday, Feb 27th.

Here is a Sample Midterm.

The solutions to Midterm 1 for the morning section will be described in class on Monday, Feb 27th, 2012. The average was 75%.

The solutions to Midterm 1 for the afternoon section will be described in class on Wednesday, Feb 29th, 2012. The average was 80%.

E13 & E14: Afternoon section - second midterm will be held in class on Monday, April 9th.

Here is a Sample Midterm. This sample midterm is slightly more challenging than your real midterm.

We will discuss Midterm 2 in the afternoon section on Wednesday, April 11th. The average was 76%.

We will discuss Midterm 2 in the morning section on Friday, April 13th. The average was 80%.

Morning section - Friday, May 11th, 1:30pm-4:30pm.

Afternoon section - Friday, May 11th, 7:00pm-10:00pm.

For your convenience, here are your midterms:

Morning section Midterm 1.

Afternoon section Midterm 1.

Morning section Midterm 2.

Afternoon section Midterm 2.

Some of your final questions will come from the midterms and sample midterms posted above as well as the extra sample final questions.

Extra office hours:

May 8th, 2012: 3-4pm.

May 9th, 2012: 2-4pm.