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Math 1a Introduction to Calculus . Fall 2006 Introductory Meeting Bret Benesh. Why attend Harvard?. i.e. What should you expect from you tuition money?. High School. Consumer of Knowledge Teacher shows you how to do it. At Harvard. Producer of Knowledge

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math 1a introduction to calculus

Math 1aIntroduction to Calculus

Fall 2006 Introductory Meeting

Bret Benesh

why attend harvard

Why attend Harvard?

i.e. What should you expect from you tuition money?

high school
High School
  • Consumer of Knowledge
  • Teacher shows you how to do it.
at harvard
At Harvard
  • Producer of Knowledge
  • Teacher guides you, but you do a lot of work on your own.
quote
Quote
  • “Merely accumulating information is of little value to students. Facts are soon forgotten, and the sheer volume of information has grown to the point that it is impossible to cover all the important material or even to agree on what is most essential. Concepts and theories have little value unless one can apply them to new situations.”
  • -Derek Bok, President of Harvard University
about math 1a
About Math 1a
  • The development of calculus by Newton and Leibniz ranks among the greatest achievements of the past millennium.
about math 1a10
About Math 1a
  • This course will help you see the greatness of calculus by introducing:

1. How differential calculus treats rates of change.

2. How integral calculus treats accumulation.

3. How the Fundamental Theorem of Calculus links the two.

course goals
Course Goals
  • To build a mathematical foundation for future study.
  • To be better able to solve new problems.
  • To build a founded confidence in your problem solving abilities.
  • To appreciate the utility and logic of mathematics.
  • To improve communication skills
  • To become more skillful in evaluating the validity of an argument.
prerequisites
Prerequisites
  • A solid knowledge of precalculus and a satisfactory score on the Math Placement Exam.
the text
James Stewart. Essential Calculus: Early Transcendentals, first edition. Thomson Brooks/Cole, Belmont CA, 2007. ISBN-10: 0495014281.The text
calculators
Calculators
  • Any graphing calculator will be helpful.
  • If you would like to buy one, we recommend a TI-84, TI-86, or a TI-89.
  • Calculators will be allowed on homework but not on exams.
course topics
Course Topics
  • Differentiation: rates of change, linear approximations to functions, optimization
  • Integration: The definite integral, Riemann sums, the Fundamental Theorem of Calculus
grading
Grading
  • Homework: 20%
  • Precalculus Exam: 5%
  • Midterm I: 20%
  • Midterm II: 20%
  • Final Exam: 35%
exam dates
Exam Dates
  • Precalculus Exams: October 2nd - 13th
  • Midterm I: October 24th
  • Midterm II: December 12th
  • Final Exam: January 22nd?
homework
Homework
  • Everyone does the same homework.
  • Homework is due at the beginning of class.
  • We drop your three lowest homework scores.
  • You will hand in homework reports on some of the problems.
problem solving
Problem Solving
  • Explicit Instruction on how to go about solving new problems.
  • Heuristics
  • Time Management
  • Beliefs
sections and problems sessions
Sections and Problems Sessions
  • Each 1a section has an undergraduate course assistant.
  • CAs hold 90 minute problem sessions each week.
  • You can go to any problem session.
getting help with math 1a
Getting Help with Math 1a
  • Other 1a students.
  • Your CA’s problem session
  • Your TF’s Office Hours
  • The Math Question Center (MQC) in SC B-10 (8:30 pm - 10:30 pm Sunday through Thursday)
advising
Advising
  • Math advising hours can be found at: http://www.math.harvard.edu/sectioning/index.html
math 1a or xa
Math 1a or Xa?
  • Most students in Math 1a will have taken calculus already.
  • Math 1a will assume a good knowledge of precalculus.
  • Math Xa will take time to teach precalculus.
  • The courses are about the same amount of work.
sectioning
Sectioning
  • Math 1a is taught in small sections.
  • You must section by 1:00 pm on Wednesday, September 20th.
  • Sectioning directions are on: http://www.math.harvard.edu/sectioning/index.html
precalculus warm up
Precalculus Warm-Up
  • There will be a warm up session on precalculus today from 2:00 pm - 3:30 pm in SC Hall A.
your homework
Your Homework
  • The Bottle Calibration Problem.
  • Due Page 1 for before the first day of class.
important emails
Important Emails
  • Bret Benesh (Course Head)

benesh@math.harvard.edu

  • Janet Chen (Assistant Course Head)

jjchen@math.harvard.edu