"Game
Plan" for Math 10460 |
Course Goals: Mathematics is a very powerful and useful discipline. It informs many areas of science, economics, and engineering, and provides these disciplines with important conceptual structures. Many of you will not be pursuing mathematics in the careers that you are now preparing for. Nonetheless, all of you should know what mathematics is and what it can do. You should be able to make the case for mathematics knowledgeably and confidently. As enlightened citizens, you should be able to argue for mathematics when your local community or our national community discusses its priorities for education and for research. For you to be able to make the case for mathematics cogently and with conviction, you will need to have done the mathematics rather than not just talked about it. This is why you will in this course: engage a lot of important modern mathematics, including basic elements from differential and integral calculus; learn about motivating historical perspectives; and engage applications of mathematics. In sum, you will understand what mathematics is and what it can do by doing it, and in so doing it, you will have a sense and appreciation of its range and power. Finally, you will develop an ability to apply the “mindset” of mathematics both within mathematical contexts and outside them. No matter what form your careers will take, you will be asked to peruse sophisticated materials, absorb them, respond to them, present them articulately to a critical audience, and act upon them intelligently and effectively. This course will get you there in the context of relevant mathematics. Class Times and Locations: As you already know: MWF, 9:35 am to 10:25 am in 229 Hayes-Healy Hall, and T, 11:00 am to 11:50 am in 229 Hayes-Healy Hall. Instructor: Alexander Hahn, Professor of Mathematics. My office is in 238 Hayes-Healy Hall. Office hours by Appointment: 631-9146. Text: Basic Calculus: From Archimedes to Newton to its Role in Science. Course Website: http://www.nd.edu/~hahn/10460.html. The course website contains: Current and prior homework assignments; listing of student Teams; links to the web site for the text, and solutions of problems. University Honor Code: The University of Notre Dame takes its Honor Code extremely seriously and so do I. It will be in effect throughout the semester during all Quizzes, Examinations, and the Final Exam. This includes what was said above about Calculator use. My Expectations: Our learning agenda will not only be driven by my presentations, but also by your presentations and your efforts to come to grips with the study and problem assignments and the questions that these will generate. Learning is the result of doing rather than observing, and this is especially true for mathematics. After you have made your own serious effort to understand the arguments and do the problems, please get together and collaborate. In the case of an assigned problem, consult the solutions on the Course Website. For additional clarification, please send me an E-mail. E-mail: hahn@nd.edu. So that I can consider your questions before class, please submit them the night before the assignment is due. Your questions should be specific and grow out of your efforts to understand the material. I won’t answer your e-mails individually, but I will address your concerns in class. I’ll keep track of your e-mails; they will contribute to the participation component of your grade. Daily Assignments: Study and/or problem solving assignments will be due for every class period. These assignments will be listed on the Course Website in (roughly) two week segments. You will not hand them in, but they will determine our interaction in class. Team Homeworks: There will be one problem set for each section of the course, or about one every two weeks, that you will be asked to turn in. These assignments will be taken from the Additional Exercises that I will send you in PDF format by E-mail. Make a serious effort to solve the problems on your own. A few days before the assignment is due, your Team should meet to discuss all your solutions and exchange ideas about your approaches. If no one has a complete solution to a problem, your Team should brainstorm and try to produce one. Drawing on the best work of its members, possibly at a second meeting, each Team compiles one well organized and carefully written out set of solutions. The team organizer will be responsible for handing the solution set in. It is important that all of you make a significant contribution to these assignments, either mathematically or organizationally. At the end of the semester I will ask each of you to fill out a questionnaire that will assess the contribution that each member of the team has made. Quizzes: There will be one quiz on Wednesday of each week (except when there are student presentations). Each quiz will have one or two questions, will take about 10 minutes, and will count from 15 to 20 points. They will be related to the Daily Assignments. Examinations: There will be two 50-minute mid-term examinations. The first will be on Friday, February 29. The second TBA. They will be in our classroom Hayes-Healy 229. Final Examination: TBA in Hayes-Healy 229. Calculators: You will need a basic calculator for the assignments, the quizzes and the examinations. If you have a programmable or graphing calculator, you may use it only in elementary mathematics mode for the quizzes and examinations. More sophisticated use in Team Assignments is welcome if it informs the assignment. Absences: If you have to miss a class, be sure to catch up with what you missed. If you are absent from a quiz: if excused (e.g., a note from Student Affairs) I’ll take an average of your remaining quiz grade and give you that average; if the absence is not excused, you’ll get a zero. If you are absent from an examination you will get a zero, unless there is are very serious circumstances. In the latter case, you will be allowed to take a makeup. Grade Determination: The total from the Team Assignments will be about 250 points. The total from the quizzes will be around 200 points. The points for the two examinations will be 200 total (100 points each), and the final will count 200 points. About 150 points will be awarded for class participation (based on my assessment of the quality of both the questions that you ask and the solutions you provide in class). Total: 1000 points. |
| The Material for the Semester Chapter 8. Analysis
of Functions
8.6. Derivatives of Trigonometric
Functions Chapter 7. The Principia Exercises for Chapter 7 Chapter 10. Basic Functions and Their Graphs 10.1 Exponential Functions Exercises for Chapter 10 From Chapter 13 and expanded by PDFs (to be supplied)
From Chapter 14 and expanded by a PDF (to be supplied)
Calculus in Architecture: PDFs (to be supplied)
|