| Math 1a | |
| Freshman Mathematics | |
| Fall 2011 - 12 | |
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Instructor: Matilde Marcolli, 162 Sloan, 626-395-4324, matilde@caltech.edu Office Hours:
By appointment
Lead TA: Michel van Garrel, 304 Kellogg, 626-395-4027, garrel@caltech.edu Course Secretary: Kathy Carreon, 253 Sloan, 626-395-4335, kcarreon@caltech.edu |
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FREE Tutoring in Ma 1a - Find a Tutor - |
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Section 2 Office Hours: Tuesday, 12/06 1pm 156 Sloan |
Recitation: 9:00 a.m., Thursday, 159 Sloan |
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Section 3
- Office Hours: Monday, 12/05, 10am SFL Mutimedia Conference Room 328 |
Recitation: 9:00 a.m., Thursday, 103 Downs |
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Section 4
- Office Hours: Sunday, 12/04 6pm 304 KEL |
Recitation: 10:00 a.m., Thursday, 159 Sloan |
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Section 5
- Office Hours: Monday, 12/05 Noon 356 Sloan |
Recitation: 10:00 a.m., Thursday, 11 Downs |
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Section 6 - Office Hours: Monday, 12/05 3pm 260 Sloan |
Recitation: 10:00 a.m., Thursday, 119 Downs |
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Section 7
- Office Hours: Saturday, 12/03 2pm, 260 Sloan |
Recitation: 1:00 p.m., Thursday, 107 downs |
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Section 8 - Office Hours: Monday, 12/05 5pm, 156 Sloan |
Recitation: 1:00 p.m., Thursday, 22 Gates |
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Section 9
- Office Hours: Sunday, 12/04 6pm 304 KEL |
Recitation: 1:00 p.m., Thursday, 3 BBB (Bechman Lab) |
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Section 10
- Office Hours: Saturday, 12/03 4pm 256 Sloan |
Recitation: 2:00 p.m., Thursday, 103 Downs |
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This course will introduce the mathematical method through (One Variable) Calculus, with which the Caltech freshman has reasonable familiarity, at least for doing calculations (assuming various results as black boxes). The typical high school courses, and the AP tests themselves, are woefully inadequate in explaning, or testing, why things work and how to justify one's propositions. In Ma 1a, the underlying concepts will be stressed, as well as the need for checking the hypotheses precisely as to where the results apply. A main focus will be on the writing of complete proofs so the case one is making is ironclad and unassailable. Learning to think precisely and rationally will come in handy in life, regardless of which subject one majors in. The first nine topics below, and as much as possible of the tenth topic, will be treated during the Fall quarter:
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| Homework:
Homework is due Mondays at 10 AM and will be posted on the course web site on Tuesday of the previous week. The first homework will be posted on the second week of class. All problems may be done in collaboration with others. However, each student must write down the solution in his/her own individual way and there should be no two identical solutions to any problem. Do not consult the solution sets from previous years in working this year's problem. At most one late homework set will be accepted throughout the quarter, and only at your TA's discretion. Arrangements must be made in advance with your TA, and the homework set in question must be submitted no later than Monday 10 a.m. of the following week. Beyond this, late homework will NOT be accepted, without a letter from the Infirmary or from the Dean (or Associate Dean). Late homework should be handed either to the course secretary or to your TA. Every week, graded homework can be picked up from the TA during the recitation on Thursday. Grading and Exams: There will be weekly assignments, as well as a Midterm and a Final examination, each of the Take Home variety lasting three hours. The final grade (of P or F) will depend on a composite of these facotrs. To be precise, the homework will be worth 50 percent, the midterm 20 percent and the final 30 percent. No one will be excused from the final exam. The use of calculators, computer software, homework assignments and solution sets from previous terms, books and notes and or other such tools is NOT permitted on the exams. Collaboration on exams is not allowed. Collaboration is allowed on homework but you must write the solutions in your own language. Use of books and notes is allowed on homework but you may not use solution sets from previous terms if they do the exact same problems. Use of calculators and computer software is allowed for homework but you are encouraged (unless software is specifically mentioned in the homework) to only use these tools to check your work. Recitations: Please go to the recitations! Each week, a portion of the recitation will be dedicated to introducing some computational (or even theoretical) aspect which the Instructor will not have time to present in class. In general, get to know your TA and bug him/her to death (figuratively speaking) with your questions, and try to fill in all the holes in your understanding. Don't wait untill the midterm to start doing that. Extra Help: Tutoring is available for anyone who feels they would benefit from some extra assistance.It is provided by the Deans and is free of charge. To take advantage of it, refer to the above link. Office Hours: Instructor and TA office hours will be posted very soon. |
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| Calculus Volume 1, Tom M. Apostol ISBN 0-471-00005-1 |
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These notes are from the previous year and are a useful complement to the class. They do not cover all content of the class, nor in the same order. |
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These notes are for enrichment. The covered topics do not appear in class Top |
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