Mathematical Logic: From Puzzles to Infinities FOR ADVANCED MIDDLE AND HIGH SCHOOL STUDENTS Day Enrichment Program Summer 2014

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1 Mathematical Logic: From Puzzles to Infinities FOR ADVANCED MIDDLE AND HIGH SCHOOL STUDENTS Day Enrichment Program This two week day enrichment program on the campus of Rensselaer Polytechnic Institute in Troy, New York will engage high school students in a workshop exploring logic. Logic is the science that studies arguments and inferences, and serves as the theoretical foundation of computer science. In this course, we develop mathematical languages used to model arguments and prove (or disprove) their validity. We will also use these languages to represent logic puzzles and solve them efficiently with mathematical rigor, as well as construct our own puzzles. We also briefly explore some of the most important results of the 19 th and 20 th century mathematics, regarding infinity and provability. Learning outcomes are an increased ability to think logically about arguments and claims, mastering central concepts used in mathematics, computer science, and philosophy, as well as cultivating problem-solving skills that apply both within mathematics and beyond. This course is taught by RPI faculty who has also taught a similar curriculum at the Center for Talented Youth at Johns Hopkins University. WHO: Ages WHEN: Monday, August 5-Friday, August 16, NOTE: Full Day Enrichment Program: 9:00am 4:00pm. High School Students Build Your Future! Summer@Rensselaer 1

2 Registration Form PERSONAL INFORMATION Use one form per student *** Please make a copy of these forms for your records *** Complete all parts of this registration and mail to; Rensselaer Polytechnic Institute, Academic Outreach Programs, Summer@Rensselaer th Street 1516 PE, Troy, NY, USA or fax to (518) Student First Name: Date of Birth: Student Last Name: Age: Sex (M/F) Grade entering (Sept. 2014): Current School Name: School City: School State: Parent/Guardian Name(s): Cell Phone: Work Phone: Parent/Guardian Address: Home Mailing Address: Home City: Home State: Home Zip: The Mathematical Logic Program is open to children ages and scheduled for August 5-August 16, PROGRAM HOURS: 9:00am 4:00pm Drop Off: 8:30am 8:45am Pick-Up: 4:00pm 4:15pm Parent/Guardian or someone designated by the Parent/Guardian must sign the student in at drop off and out at pick up. Parent/Guardian or someone designated by the Parent/Guardian must sign the student in at drop off and out at pick up. Student Visit/Pick-Up Authorization: Select one; Parent(s)/Guardian(s) is (are) the only individual(s) authorized to drop-off/pick-up/visit the student. The parent(s)/guardian(s) will not be the sole person(s) dropping-off/picking-up/visiting the student. List of Authorized Person(s) for dropping-off/picking-up/visiting: HOW DID YOU HEAR ABOUT SUMMER@RENSSELAER? (Circle all that apply) School, Guidance Counselor, Times Union Online, Homeschoolers Guide, Tri-City Valley Cats, SREB HSTW, ASCA, Project Lead The Way, NYSSCA, ASCA, RPI Players, Science Fair, Camp Fair, Summeroncampus.com, kidscamps.com, RPI Faculty/Staff, RPI Athletics, RPI Admissions, RPI Campus Visit, RPI Alumni, Friend/Referral, RPI Newspaper, Summer@Rensselaer Program Flyer, Summer@Rensselaer Booklet, Polytechnic, Web Search, Newspaper: Website:, Other: METHOD OF PAYMENT Program Cost: $ per person. Registration is limited. A non-refundable deposit of $ must accompany this registration. Final payment is due by July 1, All session changes must be received in writing, via fax ( ) or (randaa2@rpi.edu). Check or money order enclosed payable to Rensselaer Polytechnic Institute. Credit Card Payment Form attached 2

3 Credit Card Payment Form CREDIT CARD TRANSACTION AUTHORIZATION: All credit card information will be purged once the transaction is made. Visa MasterCard Card #: Expiration Date: Print Name on Card: Billing Address: Street: City: State: Zip Code: Amount to be charged: $ Signature: 3

4 Medical History Form Use one form per student *** Please make a copy for your records *** Complete and return to; Rensselaer Polytechnic Institute, Academic Outreach Programs Summer@Rensselaer th Street 1516 PE, Troy, NY, USA or fax to (518) Student Name: Program Attending: I. Personal Information Required for all participants under 18 years of age, participating in a Summer@Rensselaer day program. Complete section I and II of this form. **Please make a copy of this form for your records. Student Name: Age: Date of Birth: Sex (M/F) Parent Address: Home Mailing Address: City: State: Zip: Emergency Information Parent/Guardian with legal custody to be contacted in case of illness or injury: Name : Relationship to camper: Cell Phone: Work Phone: Second parent/guardian or other emergency contact: Name : Relationship to camper: Cell Phone: Work Phone: II. Consent for Evaluation/Examination/Treatment of participants UNDER 18 years of age I hereby grant permission to Rensselaer s Student Health Center and/or Pediatric Associates of Troy for evaluation, examination, and treatment of my child in the event of medical illness or injury. I also authorize urgent treatment at Samaritan Hospital and other appropriate local hospitals. Signature of parent/legal guardian Date 4

5 Rensselaer Polytechnic Institute PROGRAM RULES & REGULATIONS FORM Use one form per student *** Please make a copy for your records *** Complete and return to; Rensselaer Polytechnic Institute, Academic Outreach Programs Summer@Rensselaer th Street 1516 PE, Troy, NY, USA or fax to (518) It is the responsibility of the participant s parent or guardian to drop off and pick up the student for the program. 2. It is the responsibility of the participant s parent or guardian to sign the student in EVERY morning and out EVERY afternoon. 3. Participants should plan to arrive no earlier than the specified drop-off period. 4. Participants under 18 must be supervised at all times while on Rensselaer s campus. 5. Participants will not be able to leave campus during the day without written or verbal parental consent. If you must leave the campus for any reason, your parent or guardian must contact the Summer Program Administrator at (518) to make arrangements for pick-up on campus. 6. Any participant who does not conduct himself or herself in an appropriate manner or who is disruptive to the instructor and/or fellow participants will be dismissed from the program. It is up to the Instructor to decide what constitutes as disruptive behavior. If a student is disruptive, the parent/guardian will be notified and will need to come immediately to campus to pick up the student. 7. In accordance with New York State Law and Rensselaer policy, no alcoholic beverages or illegal substances will be allowed on campus. Campus refers to any property owned and operated by Rensselaer within Troy s main campus. Further, these rules and regulations apply to any Summer Program sponsored event. If caught with any illegal substance or alcohol, the student s parent/guardian will be notified and the student will be dismissed from the program. Summer program staff must be alerted to prescription medications taken by students while on campus. 8. Participants are responsible for the safekeeping of their personal belongings. Rensselaer is not responsible for theft or other losses of, or damages to, students personal belongings, including athletic equipment, musical instruments, ipods & MP3 Players, cell phones and computers. STATEMENT OF ASSURANCES AND UNDERSTANDING OF RULES & REGULATIONS: I understand and accept the Rules & Regulations. I also understand that failure to abide by these rules and regulations outlined above could result in expulsion from the program without a refund. Student Name (Please print.) Student Signature Date Parent or Guardian Name (Please print.) Parent or Guardian Signature Date 5