# Introduction to Mathematical Reasoning Summer 2015

This is the official webpage for Introduction to Mathematical Reasoning 640:300, Section T5. Check back here for homework assignments, announcements, and other course materials.

## Course information

Course time and location: Tuesdays and Thursdays 14:00–15:50 in Hill 423
Office hours: Mondays and Wednesdays 14:00–15:20 and by appointment
Office: Hill 512
Syllabus and course information
Textbook: Smith, Eggen, St. Andre, A transition to Advanced Mathematics. 7th edition, Brooks/Cole, 2011.

## Announcements

• 6/2: Notes for lecture 3 can be found by going to the Resources tab of the sakai page for this course.
• 6/10: Notes for lectures 4 and 5 are now posted on sakai. We will have a review session for midterm 1 on 6/19 from 14:00–15:20 in Hill 525. Please come with questions! Midterm 1 will cover §§1.1–2.4.
• 6/11: I will have additional office hours on Friday, 6/12/15 at 14:00.
• 6/16: You can prepare for the midterm by solving the following additional book problems. §1.1:3,7; §1.2:10,12,13; §1.3:8,9,12; §1.4:6,7; §1.5:3,4,6,7; §1.6:6; §2.1:4,7,17; §2.2:3,10,15; §2.3:1,6,7,8; §2.4:6,7.
• 6/26: Notes for lecture 9 and lecture 10 can now be found on sakai.
• 7/8: Notes for lecture 11 and lecture 12 can now be found on sakai. A review sheet for the second midterm has also been posted. I will have additional office hours on Friday, 7/10/15 at 14:00.
• 7/9: Additional book problems: §2.5:1,2; §3.1:6,8; §3.2:2,5,8,11,15; §3.3:3,4,5; §3.4:2,3,14,16,17; §4.1:1,3,6
• 7/21: Office hours will be canceled on 8/5. I will have a final review session on 8/9 at 14:00 and on 8/10 at 14:00 in Hill 525 (if it is available). The final exam will cover all material in the course. A review sheet will be available on sakai soon.
• 7/28: For some math fun, take a look at this Dinosaur comic. How would you attempt to rigorously define "interesting?" Does T-Rex's proof that all numbers are interesting work for your definition?

## Schedule of Lectures and Homework

Problems marked with an asterisk (*) are to be proven using a 2-column format, where every step is justified.

Date Sections Selected problems HW due
5/26 1.1, 1.2 §1.1: (3e, g), 4, 6, 11; §1.2: 3, 5, (10a–g), 13
5/28 1.2, 1.3 §1.3: (1g–l), 6, 9
6/2 1.4, 1.5 §1.4: 3, (5e–i)*, (7a–f), (11a–c) §§1.1–1.3 due
6/4 1.5 §1.5: (3d–h), 6, 9, 12
6/9 1.6, 2.1 §1.6: (1a, b, h), 3, 5, (6a–f), (7f, h) §§1.4–1.5 due
6/11 2.1, 2.2 §2.1: (5a–f), 9, (15e–h); §2.2:(1c–f), 12, 17
6/16 2.3 §2.3: (1a,d,e,i,k), 6, 7, 12, 14 §§1.6–2.2 due
6/18 2.4 §2.4: 1, 2, (6a–e), (7a–e,n)
6/23 Review, Exam 1 §§2.3–2.4 due
6/25 Discussion, 2.5 §2.5: 4–6
6/30 2.5, 3.1 §3.1:1, (2a–d), 8 Exam corrections
7/2 3.2 §3.2: (5a, d), 9, 10; §3.3: 2, 8, 11
7/7 3.3, 3.4 §3.4: 1, 8, 15 §§2.5–3.2 due
7/9 3.4, 4.1 §4.1: 2, (4a–d), 10, (11a–c)
7/14 4.1, 4.2 §4.2: 3b, 4, (5g–i), 12, 15 §§3.3–3.4 due
7/16 Review, Exam 2
7/21 4.2, 4.3 §4.3: 3, 4, 11, 12 §4.1 due
7/23 4.4, 4.5 §4.4: (1b,c), 2, 6, §4.5: 3, 8, 13
7/28 4.6, 5.1 §4.6: (5a–f), 6 §§4.2–4.4 due
7/30 5.1, 5.2 §5.1: 5, 11, 12, 17; §5.2: (3a–d), (4a–d)
8/4 5.3, 5.4 §5.3: 10, 12; §5.4: 5, 8 §§4.5–5.2 due
8/6 Review
8/11 Final Final exam time: 14:00–17:00