Math 1b Exams
Schedule
| Test | Date/Time | Location |
|---|---|---|
| Technique Test | October 6, 7-8pm | Halls A and D |
| Technique re-test (optional) | October 13, 7-8pm | Halls A and D |
| Midterm I | October 27, 5-7pm | Emerson 105 and 210 |
| Midterm II | December 1, 6-8pm | Halls A and D |
| Final | January 14, 2:15pm-5:15pm | See below |
Final
The exam for this course is currently scheduled for Saturday, January 14 at 2:15 pm.
- Students whose last names begin with the letters A-L will take the exam in 2 Divinity Avenue, Room 18.
- Students whose last names begin with the letters M-Z will take the exam in Science Center D.
The final exam is cumulative and will be weighted towards more recent material. As they have not been covered on a midterm, series and power series will be well represented.
Review sessions
There will be three review sessions for the final exam. They will be conducted by section leaders, not course assitants as for the midterms.
- Monday, January 9 (Differential Equations)
- Wednesday, January 11 (Series and Power Series)
- Thursday, January 12 (Integration)
All sessions take place from 7:30-9:00pm in Science Center Hall D. They will be recorded.
Review materials
The Midterm II review materials sections includes several final exams. You can now take the rest of them to get an idea of what the final might be like.
Here are some other finals from previous years:
Fall 2003 was the last time I (Dr. Leingang) was course head. I expect this exam to be not as hard as that one.
If you are looking for even more practice problems, Cabot Science Library has a section near the circulation desk full of textbooks. Pick any calculus book, open it up, and grind away!
Out-of-Sequence and Makeup Exams
Unlike midterms, final exams are administered by the FAS Exams office. All matters other than the actual writing and grading of the tests are handled by them.
If you have an exam conflict (meaning another exam at the same time, not just on the same day), they will schedule another time for you. If you have a conflict with something else you will need to petition that office. They do not generally make exceptions.
If you have additional needs as determined by the Accessible Education Office, they will make those arrangements.
If you miss the exam, you will need to petition the Ad Board for a make-up. They will solicit my input but have the final say.
Other Help
The Math Question Center will be open at its regular time and place through Thursday, January 12.
All section leaders (with the exception of Dawei Chen and David Harvey) will be conducting their regular office hours (see the sections page). Here are the exceptions:
- David Harvey and Dawei Chen are out of the country and will not be holding office hours.
- Chun-chun Wu is holding the following office hours, in the lounge
next to SC 435:
- Fri, Jan 6, 4-5pm,
- Mon, Jan 9, 4-5pm,
- Wed, Jan 11, 4-5pm,
- Fri, Jan 13, 4-5pm.
As always, if you have other questions please do e-mail your section leader or the course head.
Midterm II
Results
Midterm II has been graded.
Table
Here is a problem-by-problem breakdown of the scores:
| MT II.1 | MT II.2 | MT II.3 | MT II.4 | MT II.5 | MT II.6 | MT II.7 | MT II.8 | MT II Total | |
|---|---|---|---|---|---|---|---|---|---|
| Maximum Possible | 15 | 10 | 12 | 10 | 14 | 14 | 10 | 15 | 100 |
| Maximum Achieved | 15 | 10 | 12 | 10 | 14 | 14 | 10 | 15 | 100 |
| Mean | 13.96 | 8.13 | 10.28 | 8.12 | 11.52 | 11.87 | 9.48 | 10.71 | 84.07 |
| Median | 15 | 9.5 | 11 | 8 | 13 | 12 | 10 | 12 | 86 |
| Mode | 15 | 10 | 12 | 8 | 14 | 12 | 10 | 13.5 | 86.5 |
| SD | 2.0174 | 2.7018 | 2.2560 | 1.8275 | 3.0382 | 1.7423 | 1.1592 | 3.5786 | 10.5120 |
| r^2 with total | 0.5216 | 0.5996 | 0.5294 | 0.3456 | 0.6852 | 0.4547 | 0.4830 | 0.7209 | 1.0000 |
Explanations of these descriptors
- mean
- the average of the numbers
- median
- the number which appears in the middle when the numbers are sorted in increasing order
- mode
- the number which appears most frequently in the set of numbers.
- SD
- The standard deviation of the set. The higher this is, the "wider" the spread and greater the diversity of the set.
- r^2 with total
- The correlation coefficient of this problem with the exam total. The higher this number is (its maximum is one), the more closely related a high score on this problem is with a high score on the exam. If you did well above average in a problem with a high correlation coefficient, you should be happy! A correlation coefficient close to zero means that this problem was too easy or too hard to make a significant difference in your exam total.
You can find more about these measurements on Wikipedia.
Topics
The second midterm tests the differential equations unit of the course. This includes the following topics:
- 7.1: Modeling with Differential Equations
- 7.2: Direction Fields (not Euler's Method)
- 7.3: Separable Differential Equations (and linear differential equations, see the Handout.)
- 7.4: Exponential Growth and Decay
- 7.5: The Logistic Equation
- 7.6: Predator-Prey Systems
- Gottlieb, Section 31.5: Systems of Differential Equations (the species systems, not the infectious disease systems)
- Gottlieb, Section 31.6: Second Order Linear Equations with Constant Coefficients
- Appendix I: Complex Numbers (most importantly, Euler's Theorem)
Review Session and other question time
The review session (led by course assistants) will take place on Tuesday, November 29, from 7:30-9:00pm in Science Center Hall D. The review session will be captured on video and should be available to view on the course web site by Wednesday evening.
You can visit any section leader during his/her office hours or go to any course assistant's problem session. Consult the Sections page for that information.
Additional review opportunities will be posted here.
- Shawn Liu will be holding a review session in booked SC room 111 from from 8:00pm to 9:30pm Wednesday (11/30) night.
- Jaemin Bae (one of the course assistants) will be holding a midterm review session for his section (and anybody else who wishes to come) on Monday (11/28) from 8-10pm in Science Center 109.
- Course assistants often hang out in Lowell Dining Hall on the night before an exam.
Review Material
Here is an old review sheet from 1999 (You can ignore the part about Euler's Method). Solutions are at the end.
Here are some old midterms and finals that cover the same material as Midterm II.
- Midterm II, Fall 2001 (Questions 1, 4, and 6) (Solutions)
- Final, Fall 1995 (Questions 2, 3, 7, 10, 11, 12) (Solutions)
- Final, Fall 1998 (Questions 2, 6, 8. Solve part d, too) (Solutions.) In #8: the differ'l eqn is BOTH first order linear AND separable. The answer is y = Ce^(x^2/2) - 1. (The exponent got cut off.)
- Final, Spring 1999 (In question 3, you can solve the DE. Questions 5, 7, 10 are relevant). (Solutions)
Midterm I
Results
Table
| MT I.1 | MT I.2 | MT I.3 | MT I.4 | MT I.5 | MT I.6 | MT I.7 | MT I.8 | MT I Total | |
|---|---|---|---|---|---|---|---|---|---|
| Max Poss | 9 | 9 | 12 | 12 | 13 | 13 | 18 | 14 | 100 |
| Max Ach | 9 | 9 | 12 | 12 | 13 | 13 | 18 | 14 | 100 |
| Mean | 7.36 | 8.53 | 8.01 | 7.05 | 6.40 | 9.25 | 13.73 | 9.03 | 69.08 |
| Median | 8 | 9 | 8 | 6 | 6 | 10 | 15 | 10 | 70 |
| Mode | 9 | 9 | 8 | 2 | 13 | 11 | 18 | 13 | 84 |
| SD | 1.9386 | 1.1711 | 2.2410 | 3.9211 | 4.6271 | 3.0881 | 4.0899 | 4.5835 | 15.5043 |
| r2 with total | 0.2965 | 0.3192 | 0.5556 | 0.5903 | 0.6118 | 0.4971 | 0.7034 | 0.6722 | 1.0000 |
See Explanations of these Descriptors above for more information.
Histogram
Midterm I will be given in Emerson 105 and 210: Students whose last names begin with the letters A-Mc go to 105; those whose last names begin with the letters Me-Z go to 210 (this breakup of names is different than what was previously posted).
Topics
The first midterm tests sections 5.10 (Improper Integrals) through 6.5 (Applications to Physics and Engineering). Sections of the book not covered in class (such as fluid pressure, average value, surface area, and approximate integration) will not be covered on the midterm.
Review Session
The review session (led by course assistants) will take place on Tuesday, October 25, from 7:30-9:00pm in Science Center Hall D. The review session will be videotaped and the tape will be available for viewing in the library. Due to the Instructional Computing Group's massive backlog, we are not in a position guarantee that streaming video of the review session will be available on the course web site before the exam takes place.
Study Materials
To study for the exam, go over all your old homework and make sure you understand every problem. Attempt unassigned problems from sections covered in class, too. The odd problems have answers in the back in case you want to check.
Some old exams are provided, too. Try them in test-like conditions: i.e., in the allotted time and without looking at the solutions until you're finished.
A sheet of review problems is given as well.
Technique Test
The technique tests test the techniques of integration. There will be eight problems taken from a list of 80.
Each problem will be graded on a three-point scale.