Math 114 Calculus: Differential Equations and Power Series.

Elizabeth Denne
Office: 312 Burton Hall
Telephone: (413) 585 3757
Email: edenne[at]smith [dot] edu

Quick links:
Syllabus ..... Calculating Grades .... Homework policy

Website last modified 1/26/2012.

Essential Information:


Classes:MWF 8:30-9:50 am in 302 Burton Hall.
Course webpage:http://www.math.smith.edu/~edenne/teach/math114sp12.html
Office hours:TBA and by appointment.
Office:312 Burton Hall
Phone:413 585 3757
E-mail: edenne[at]email [dot] smith [dot] edu
Required Textbook: Calculus: Single Variable by Deborah Hughes-Hallet et al. On reserve in the Science library and available at the Grecourt bookstore.
Text Website: Student companion site for our textbook.
Software: We will use Mathematica extensively during the course. It can be found on most computers on campus.
Drop date:The online drop date for the course is Wednesday February 8.
Random Advice: You can expect to spend 7-9 hours outside of class each week. You'll be working on homework, reading the text, working on projects, meeting with your group, etc.


Course Summary and Syllabus:

Summary: A second course in Calculus designed for students who have not taken Calc I (Math 111) at Smith. Differential equations, difference equations, dynamical systems: numerical methods and qualitative analysis. Power series, sequences, and convergence. The scientific context of calculus is emphasized. Intended for students who have had a year of calculus elsewhere. Students may not receive credit for both Math 114 and 112.

Syllabus: This is a rough guide to what we'll be covering during the semester. Note that this syllabus is subject to change as we may cover material faster or slower than expected.
  • Week 1: Basic concepts of Calculus. (Review taken from Chapters 2 and 5.) Plus an introduction to Mathematica.
  • Weeks 2-3: Differential Equations with one variable, Chapter 11. (Individual project, SARS project.)
  • Weeks 3-4: Techniques of Integration, Chapter 7. (Individual project.)
  • Midterm 1 here
  • Weeks 5: Taylor Polynomials, Section 10.1.
  • Weeks 6-8: Sequences and Series, Chapter 9.
  • Spring Break March 17 - 25 (after week 7)
  • Weeks 8-9: Taylor Series, Chapter 10. (Pi project.)
  • Midterm 2: here
  • Weeks 10: Fourier series (if time allows), Section 10.5.
  • Weeks 11-12: Differential Equations with two variables, Chapter 11 continued. (Bees project.)
  • Weeks 12-13: Functions of two variables, mathematica notebook.

Computer Packages:

What it's about Where to find it
Website for our textbook Student companion site
Calculus Applets for our textbook Click here
dfield and pplane Click here.
These java based applets allows you to plot slope fields of differential equations, etc etc.
COW: Calculus on the web Click here
Slinky and other computer packages. Click here

Grades, attendance and other matters:

Prerequisites: A year of calculus not at Smith, or 4 (or better) on AB Calculus or equivalent. Please ask me if you are not sure that you have the necessary background.
Exams: 2 midterm exams, 1 self-scheduled final exam.
Quiz: There will be 10 quizzes, approximately one each week. (Your lowest quiz score will be dropped when calculating your quiz grade.)
Homework:There will be weekly homework assignments. (Your lowest homework assignment score will be dropped when computing your homework grade.) Homework will usually be due at 4pm on Fridays (see below).
Projects: There will be 5 projects during the semester. Each project will involve the application of calculus to a practical situation and will often make use of mathematica. Two projects will be smaller and done individually, three projects will be larger and done in groups (size 3-5 students). In either case, students will submit a report on the project.
Grading Policy: Your overall course grade is computed as follows:
Homework 20%,
Quiz 6%,
Projects 13%,
Midterm 1 18%,
Midterm 2 18%,
Final Exam 25%.
The class will not be graded "on a curve": if everyone deserves an A, everyone will get an A.
Attendance: Attendance will not be taken at each class. However, it is much harder to learn the material on your own, so you are strongly encouraged to attend each class. Note that make-up exams will only be given in special circumstances.


Homework Policy:

Homework:Assignments are handed out each class and will be collected weekly. The assignments form an essential part of the course. HW will usually be due at 4pm on Fridays. The assignments and the dates they are due are found on Moodle.
Need help?There are many sources of help for the course.
  • Talk to each other.
  • Come to office hours and talk to me.
  • You may email me questions. Please write the questions out as I do not necessarily have the textbook with me when answering email. I will try to answer your emails as fast as I can, but please also allow 12-24 hours for a response.
  • There are TA hours held in the Forum from 7-9pm each Sunday, Monday, Tuesday, Wednesday and Thursday evening. This is a great place to meet class mates and work together on the homework.
  • The Spinelli Center for Quantitative Learning in Nielsen Library also provides help, especially during the day.
Submitting HW:Homework should be turned in to me either at the end of class or left in my office door mailbox by 4pm on the day that the assignment is due. [You may also submit electronic versions of your HW assignments. These should be in .pdf format, ask me for more details.]
Late HW:Late homework will be accepted only in exceptional circumstances and only with prior approval.
Working together:You are strongly encouraged to discuss the homework problems with your fellow students and with me. However, students are expected to follow the Smith honor code. You must write up your homework solutions by yourself. (Copying someone else's homework is unacceptable.) Collaborating on exams is not permitted.
Keep your graders happy:To make the job of grading easier, please follow the following guidelines:
  • Write your name on your HW.
  • Neat, legible handwriting. We will not grade anything we cannot read!
  • Spread out your solutions so that we have room to make comments, use an extra piece of paper if needed.
  • The problems should be in the order assigned.
  • Staple (or paper-clip) all pages together. There is a stapler in the Forum.