Introduction to Functions and Calculus I

Home  >  laboratory

 

General Information

Lab meetings are held on Tuesdays and Thursdays during the semester. Below is a schedule of the lab meetings for the fall. The following paragraphs are meant to clarify a few terms used in the schedule below.

Labs: Labs are structured in-class activties designed to build your skills in mathematical computation, reasoning, and modeling and to build your conceptual understanding of the course material. Labs are required of everyone, and your lab average counts for 15% of your course grade. Labs are generally due in class on the Wednesday or Friday following the lab meeting. Out of fairness to the students in the course, late labs will not be accepted. However, your lowest lab grade will be dropped at the end of the course.

Each graded lab assignment is meant to take between 60 and 90 minutes, including the time spent during the lab meeting. However, sometimes we get overly ambitious and write labs that take too long. If you find yourself spending more than about half an hour on a given lab after the lab meeting is over, please email the course head (judson@math.harvard.edu) and the assistant course head (bruff@math.harvard.edu) and let them know immediately. If enough students report that a lab is taking far too long, then we might extend the lab's due date.

Problem Sessions: Problem sessions are those lab meetings during which no graded lab assignments are given. They are devoted primarily to working problems and reviewing material. Even if you find that you are not having difficulty doing the homework problems, you should still make a habit of attending these sessions.

Gateway Exams: Gateway exams are given during lab meetings. See the course syllabus for more information on gateway exams. Since taking a gateway exam does not take up a full lab meeting, the time remaining after a gateway exam will be use for an abbreviated problem session.

Lab Times and Locations

You are encouraged to attend the lab meetings led by your section CA, but if you cannot do so due to some scheduling reasons, you should attend lab meetings led by one of the other CAs. You must attend the same CA's lab meetings all semester whether or not that CA is your section CA. Below is the lab schedule for the fall.

Time Tuesday Location Thursday Location Course Assistant
10 to 11 a.m. SC 111 SC 111 Maria van Wagenberg
6 to 7 p.m. SC 507 SC 310 Connie Zong
7 to 8 p.m. SC 304 SC 103B Jennie Schiffman
8 to 9 p.m. SC 304 SC 304 Margaret Barusch
8 to 9 p.m. SC 113 SC 310 Evan Hepler-Smith

Gateway Exams

Gateway exams are meant to test your understanding of certain fundamental pre-calculus and calculus techniques and concepts. Each exam consists of eight multiple-choice questions covering the skills listed in the appropriate table below. To pass a gateway exam, you must answer at least 7 of the 8 questions correctly.

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. For each gateway exam that you have not passed by 5 p.m. on January 16, 2004, your final grade for the whole course will be reduced by one letter.

Note that calculators are not allowed on the gateway exams.

Gateway Exam 1: Basic Algebra Skills

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 Exam 2: Limits and Derivatives

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 Exam 3: Differentiation Formulas

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.

Fall Lab Schedule

Week Date Lab Meeting
1 Tuesday
9/16/03
No lab meeting.
Thursday
9/18/03
No lab meeting.
2 Tuesday
9/23/03
No lab meeting.
Thursday
9/25/03
Lab 1: Algebra Review [Handout] [Solutions]
3 Tuesday
9/30/03
Lab 2: Functions [Handout] [Solutions]
Thursday
10/2/03
Gateway Exam 1: Basic Algebra Skills
4 Tuesday
10/7/03
Problem Session
Thursday
10/9/03
Lab 3: Composition of Functions [Handout] [Solutions]
5 Tuesday
10/14/03
Lab 4: Modeling with Linear Functions [Handout] [Solutions]
Thursday
10/16/03
Problem Session
6 Tuesday
10/21/03
Problem Session
Thursday
10/23/03
No lab meeting - Midterm 1
7 Tuesday
10/28/03
Lab 5: Derivatives [Handout] [Solutions]
Thursday
10/30/03
Lab 6: Limits [Handout] [Solutions]
8 Tuesday
11/4/03
Gateway Exam 2: Limits and Derivatives
Thursday
11/6/03
Lab 7: Modeling with Exponential Functions [Handout] [Solutions]
9 Tuesday
11/11/03
No lab meeting - Veteran's Day
Thursday
11/13/03
Lab 8: Analysis of Extrema [Handout] [Solutions]
10 Tuesday
11/18/03
Problem Session
Thursday
11/20/03
No lab meeting - Midterm 2
11 Tuesday
11/25/03
Problem Session
Thursday
11/27/03
No lab meeting - Thanksgiving
12 Tuesday
12/2/03
Gateway Exam 3: Differentiation Formulas
Thursday
12/4/03
Lab 9: Modeling with Logarithmic Functions [Handout] [Solutions]
13 Tuesday
12/9/03
Problem Session
Thursday
12/11/03
Lab 10: Optimization [Handout] [Solutions]
14 Tuesday
12/16/03
No lab meeting
Sphere line drawing for decoration
Fall 2003

URL: http://www.courses.fas.harvard.edu/~mathxa/laboratory/
Last modified: 12/16/2003 Harvard University FAS Shield
 
Copyright ©The President and Fellows of Harvard College