Introduction to Functions and Calculus I

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Final Examination

• The final exam is on Tuesday, January 27 in Harvard Hall 202 at 9:15 AM - 12:15 PM.
  
  
• Review Guide for the final exam.
  
  
• Review Session I
  Monday, January 12, 2004 in Science Center A at 7:00-8:30 PM.
  
  
• Review Session II
  Wednesday, January 14, 2004 in Science Center A at 3:00-4:30 PM.
  
  
• Review Session III
  Friday, January 16, 2004 in Science Center A at 3:00-4:30 PM.
  
  
• For copies of final exams for 1994-1996 can be found on the Previous Exams Page. We plan to post solutions to these exams by the beginning of the reading period.
  
  
• All Teaching Fellows and Course Assistants will hold office hours during the Reading Period and Final Examinations. Please feel free to go to any CA's problem session or TF's office hours. One or more of us should be available everyday.
  
  

  Day	TF or CA
  Monday January 5	Tom Judson - Science 429 at 2-3 PM
  Tuesday January 6	Blythe Adler - Loker Commons at 4:30-6 PM Derek Bruff - Science 435 at 1-2 PM Nick Ramsey - Science 333d at 3-4 PM Maria van Wagenberg - Science 111 at 1-2:30 PM
  Wednesday January 7	Blythe Adler - Loker Commons at 4-5:30 PM Derek Bruff - Science 435 at 1-2 PM
  Thursday January 8	Derek Bruff - Science 435 at 1-2 PM Jerel Mast - Science 324f at 2-3 PM Maryam Mirzakhani - Science 321g at 11 AM - 12PM Nick Ramsey - Science 333d at 3-4 PM Jennie Schiffman - Loker Commons at 7-8:30 PM Maria van Wagenberg - Loker Commons at 1-2:30 PM
  Friday January 9	Blythe Adler - Loker Commons at 4-5:30 PM Connie Zong - Loker Commons at 7-8:30 PM
  Monday January 12	Review - Science A at 7-8:30 PM Evan Hepler-Smith - Loker Commons at 3-4:30 PM Tom Judson - Science 429 at 2-3 PM Jerel Mast - Science 324f at 2-3 PM Connie Zong - Loker Commons at 10-11:30 AM
  Tuesday January 13	Margaret Barusch - Loker Commons at 12-1:30 PM Derek Bruff - Science 435 at 12-1 PM Tom Judson - Science 429 at 2-3 PM Maryam Mirzakhani - Science 321g at 10-11 AM Nick Ramsey - Science 333d at 3-4 PM Jennie Schiffman - Loker Commons at 7-8:30 PM
  Wednesday January 14	Review - Science A at 3-4:30 PM Derek Bruff - Science 435 at 1-2 PM Evan Hepler-Smith - Loker Commons at 4:30-6 PM Tom Judson - Science 429 at 10-11 AM Jennie Schiffman - Loker Commons at 7-8:30 PM Maria van Wagenberg - Loker Commons at 7-8:30
  Thursday January 15	Margaret Barusch - Loker Commons at 12-1:30 Derek Bruff - Science 435 at 1-2 PM Tom Judson - Science 429 at 9-10 AM Jerel Mast - Science 324f at 2-3 PM Nick Ramsey - Science 333d at 3-4 PM Connie Zong - Loker Commons at 2-3:30 PM
  Friday January 16	Review - Science A at 3-4:30 PM Margaret Barusch - Loker Commons at 12-1:30 Tom Judson - Science 429 at 11-12 AM
  Monday January 19	Holiday
  Tuesday January 20	Derek Bruff - Science 435 at 1-2 PM Evan Hepler-Smith - Loker Commons at 3-4:30 PM Tom Judson - Science 429 at 2-3 PM Nick Ramsey - Science 333d at 3-4 PM
  Wednesday January 21	Derek Bruff - Science 435 at 1-2 PM Tom Judson - Science 429 at 11 AM-12 PM Maryam Mirzakhani - Science 321g at 10-11 AM
  Thursday January 22	Derek Bruff - Science 435 at 12-1 PM Tom Judson - Science 429 at 10:30-11:30 AM Jerel Mast - Science 324f at 2-3 PM Nick Ramsey - Science 333d at 3-4 PM
  Friday January 23	Tom Judson - Science 429 at 2-3 PM Maryam Mirzakhani - Science 321g at 10-11 AM
  Monday January 26	Derek Bruff - Science 435 at 1-2 PM Tom Judson - Science 429 at 2-3 PM Jerel Mast - Science 324f at 2-3 PM Maryam Mirzakhani - Science 321g at 1-2 PM

Midterm Examinations

• Review Session for Midterm I - Monday, October 20, 2003 at 7:00-8:30 PM in Science Center Lecture Hall A.
  
  
• Midterm I - Thursday, October 23, 2003 at 7:00-9:00 PM in Science Center Lecture Hall D.
  
  
  • Review Information.
    
    
  • Midterm I.
    
    
  • Solutions to Midterm I.
    
    
• Review Session for Midterm II - Monday, November 17, 2003 at 5:30-7:00 PM in Science Center Lecture Hall A.
  
  
• Midterm II - Thursday, November 20, 2003 at 7:00-9:00 PM in Science Center Lecture Hall D.
  
  
  • Review Information.
    
    
  • Midterm II.
    
    
  • Solutions to Midterm II.
    
    

Gateway Examinations

Each gateway exam is first administered at a lab meeting. If you fail the gateway exam at this time, you must contact Drs. Judson (judson@math.harvard.edu) or Bruff (bruff@math.harvard.edu) to schedule a retake. You may retake a gateway exam as many times as you need to until you pass.

• Gateway I - Thursday, October 2, 2003 in lab.
  
  

  Skill	Practice Problems
  Laws of Exponents	Problems on Exponents
  Expanding Expressions	Problems on Expanding
  Factoring Expressions	Problems on Factoring
  The Quadratic Formula	Problems on the Quadratic Formula
  Working with Fractions	Problems on Fractions
  Solving Equations	Problems on Equations
  Solving Systems of Equations	Problems on Systems of Equations
  Working with Inequalities	Problems on Inequalities

  
  
• Gateway II - Thursday, November 4, 2003 in lab.
  
  

  Skill	Practice Problems
  Finding Limits Graphically	Problems
  Finding Limits Algebraically	Problems
  The Definition of the Derivative	Problems
  The Derivative as the Slope of a Tangent Line	Problems
  The Derivative as an Instantaneous Rate of Change	Problems
  Graphs of a Function and its Derivative	Problems
  Using the Derivative to Determine Intervals of Increase and Decrease	Problems
  Using the Derivative to Determine Intervals of Concavity	Problems

  
  
• Gateway III - Tuesday, December 2, 2003 in lab.

  The third gateway will test your skill in using the differentiation formulas listed on page two of the Midterm 2 Review Sheet.

  Practice Problems for Gateway 3 are available. Note that the problems on the third gateway will be multiple-choice problems, although the practice problems are not.