Class

• Tue. 3:10-4:30
• Thur. 3:10-4:30
• Hegeman 308

Instructor

• Ethan Bloch
• bloch "at" bard "dot" edu
• Albee 317
• 845-758-7266

Office Hours

• Mon. 10:30-11:30 & 2:30-4:00
• Tue. 11:00-12:30
• Wed. 2:30-4:00

Text

• Stewart, James, "Calculus: Concepts and Contexts," 4nd ed., Paperback, Brooks/Cole

  

Website

• http://math.bard.edu/bloch/math241.shtml (includes updated list of assignments)

Communications

• Urgent announcements may be sent out via campus email, so make sure you either check your Bard email regularly or have your Bard email forwarded to the email address of your choice.

Attendance

• It is expected that students attend all classes. Bring the text to each class.

Homework

• Homework will be assigned at the end of every class. Turn in the homework at the start of the next class. Late assignments will not be accepted, except in genuine emergency situations.

• You are encouraged to work with other students in solving the homework problems. However, for the sake of better learning, as well as honesty, please adhere to the following guidelines:
  
  
• Write up your solutions yourself.
• Acknowledge in writing anyone with whom you work and any assistance you receive.
• Acknowledge in writing any revisions of your work based upon solutions given in class.

• Failure to indicate collaboration, assistance or sources will be construed as plagiarism.

• Your solutions should be written clearly and carefully, as described below.

Quizzes and Exams

• All quizzes and exams will be in-class, closed-book.

• This course is the final course in Bard's Calculus/Linear Algebra/Differential Equations sequence. Topics covered include vector-valued functions, gradient, the chain rule, Lagrange multipliers, change of variables for multiple integrals, line integrals, Green's Theorem, sequence, series and power series.

• The prerequisites for this course are Math 142 (Calculus II) and Math 213 (Linear Algebra and Ordinary Differential Equations), or the equivalent.

• If you are unsure whether Math 241 is an appropriate course for you, please consult with the instructor.

• If you have any problems with the course, or any questions about the material, the assignments, the exams or anything else, please see the instructor about it as soon as possible. If you cannot make any of the scheduled office hours, please make an appointment for some other time. To make an appointment, or to discuss anything, talk to the instructor after class, or send him an email message, or just stop by his office.

• For most of the course, pencil and paper will suffice.

• A scientific calculator (which has trigonometric, exponential and logarithmic functions) will be needed for some problems. Free scientific calculator apps are available for smartphones, tablets and computers. Programmable and/or graphing calculators are not required.

• We will occasionally use the free online computer mathematics system Sage, as will be discussed in class.

• Electronic devices, including cell phones, tablets and laptop computers, may not be used during class, other than as calculators or to read the text.

• Students with documented learning and/or other disabilities are entitled to receive reasonable classroom and testing accommodations. If you need accommodations, please adhere to the following guidelines:
  
  
• Discuss your needs with the instructor at the beginning of the semester.
• Provide documentation as appropriate.
• Contact the instructor at least one week prior to each quiz, exam or instance of accommodation.

• If you need to miss a class for any reason (sports team, religious holiday, etc.), it is your responsibility to contact the instructor and find out about the material and assignments you missed.

• The Mathematics Study Room is open Sunday-Thursday, 7:00pm-10:00pm, in RKC 111.

• The Mathematics Study Room is staffed by undergraduate mathematics majors who are available to answer your questions. You can go to the study room to work on your homework, and then ask for help as needed.

• If you need additional help beyond office hours and the Mathematics Study Room, you can meet with a tutor. This service is provided by the Bard Learning Commons.

• If you want to meet with the tutor, you can either go to the tutor's office hours, or email the tutor to set up an individual appointment, or both.
• Tutor: Marysia Tran.
  Office hours: Tuesday, 7:00-8:00 pm, Mathematics Common Room (third floor of Albee).
  Email: tt7210 "at" bard "dot" edu.

• Grades will be determined primarily by the quizzes and exams. Homework assignments and class participation will be taken into account positively, especially in cases of borderline grades.

• Grades will be determined by work completed during the semester, except in cases of medical or personal emergency. There will be no opportunity to do extra credit work after the semester ends.

• This course is graded using letter grades. If you want to take the course Pass/Fail, you must submit a request to do so to the RegistrarŐs Office during the Add/Drop period.

• Everyone makes honest mathematical mistakes, but there is no reason to get in your own way by writing your homework carelessly. Mathematics must be written carefully, and legibly, no differently from any other writing.

• This course is the final course in Bard's Calculus/Linear Algebra/Ordinary Differential Equations sequence. As such, it is often taken just before Proofs and Fundamentals and 300-level mathematics courses. Those courses place a much greater emphasis on the proper writing of mathematics than lower-level mathematics courses. In preparation for those more advanced courses, a greater emphasis will be placed upon the careful writing of homework assignments in Math 241 than in previous mathematics courses.

• Please adhere to the following guidelines when writing homework assignments:
  
  
• Write your homework assignments neatly and clearly.
• Distinguish between scratch work and the final draft. Expect to do scratch work on separate paper prior to writing the final draft.
• Your final draft should stand on its own; check your solutions by reading them as if they were written by someone else.
• Write every step of your solutions. Numerical answers without justification, or partial calculations, are not acceptable.
• Write your solutions in a logical, step-by-step format. Equations on the page in random order, or unlabeled calculations, are not acceptable.
• Use verbal explanations whenever needed. Formulas and calculations are not always sufficient.
• Be very careful with "=" signs. You must write "=" between things that are equal, and not write "=" between things that are not equal.
• While it is not required in this course to write the homework assignments in full sentences and with correct grammar and proper punctuation, doing so is always beneficial, and would be good preparation for some more advanced mathematics courses.

• Please see the instructor if you have questions about writing -- or doing -- the homework assignments. If you are not sure if you have written a homework assignment properly, bring a draft with you to office hours for discussion.

• Wed., Feb. 1t: End of Drop/Add period; last day to request Pass/Fail.

• Mon., Mar. 21 - Fri., Mar. 25: Spring break.

• Mon., May 2 & Tue., May 3: Advising days (no classes).

• Tue., Apr. 28: Last day to withdraw from a class.

• Wed., May 4: Senior projects due by 5:00 pm.

• Tue., May 24: Last day of classes.

The Sage Program

• Sage is a very powerful free open source computer program for mathematical calculations. It is useful in calculus, linear algebra, differential equations, and much more; it does numerical and symbolic calculations, and both 2D and 3D graphics.

• Sage, which is a cloud-based program, can be accessed from any computer via a web browser. To use Sage, you first need to set up a free account. To set up an account and log in, go to the website
  
  
• SageMathCloud.

• Although you don't need any prior knowledge of computer programming to use Sage, one of the advantages of Sage is that it is based upon the Python programming language, which is the language taught in Bard's Object Orient Programming course (CMSC 141).

Sage Demos

• The following Sage "worksheets" (that's what Sage programs are called) demonstrate various aspects of calculus or other topics. Brief instructions are given at the top of each worksheet. Some of the worksheets are interactive (via boxes, sliders and buttons), and others just need to be run the same as any other Sage worksheet.

• You can download all the worksheets in one .zip file, or you can download each worksheet individually as a .zip file. The files need to be uncompressed prior to use.

• Once each file is uncompressed, it can be uploaded into your Sage account.

• If you find any errors or problems with these worksheets, please let me know.
  
  

All worksheets

• All Worksheets

Individual worksheets

• Basic Sage Commands

• Contour Plot

• Function Plot 3D

• Implicit Plot 3D

• Parametric Plot Curve 2D

• Parametric Plot Curve 3D

• Parametric Plot Surface 3D Plot

• Partial Derivatives

• Polar Plot

• Power Series Partial Sum Limit Approximtion

• Quadratic Surface Plot

• Riemann Sums 3D

• Riemann Sums 3D Graph

• Sequence Limit Approximtion

• Series Partial Sum Limit Approximtion

• Tangent Plane Explicit

• Taylor Polynomials

• Vector Field Plot 2D

• Vector Field Plot 3D