Exam
Final exam
The exam and the solutions.
Some example problems are listed here. (solutions)
Correction: The solution for 5(d): a missing $\cos \theta$ factor is put in (thanks, KD!).—10:38AM, Dec 14, 2014
Correction: The solution for problem 4(a) had a digital pad noise that caused the appearance of $\ddot l$ (thanks, EH, who pointed this out!). This is now fixed. There is no $\ddot l$. There is only $l$.—8:19PM, Dec 13, 2014
There will not be any review session for the final exam. But, here are some review materials.
- On Friday, Dec 12, I will have open office hours from 9 AM through 2 PM. Also, you can use the online forum to discuss any challenging issues.
- Two crib sheets of US letter size paper filled on both sides are allowed for the final exam.
Midterm: The midterm on Nov 4 will cover materials up to Lecture note 9. However, materials in lecture notes 8 and 9 will be treated very lightly.
The exam and the solutions. The score distribution and the full grading rubrics are available here.
- The review session is 3-5 PM on Nov 2, Sunday, in room PSB 114.
The audio recording and the photos of the blackboard are available for those of you who could not make it to the session.
Last year’s midterm should be reviewed. It should be regarded as a practice exam for this year. (However, you can ignore problem 2.) (solutions included)
Last year’s pre-exam can be reviewed as well. (solutions)
- There will not be any quiz on this Thursday (Oct 30), nor will there be any new homework given out on that day. A new homework will be posted on Nov 4 and will be due Nov 13.
Quiz
Quiz 3,4, due Dec 9: Rolling without slipping (with solutions)
Quiz 2, due noon, Oct 24: Newton’s laws (with solutions)
Score stats: 8.7 ± 2.5 (out of 10; more info incl. the grading rubric).—2:24AM, Oct 28, 2014
Change: “and $h_1$” → “given $h_1$” in part (b).—2:24PM, Oct 23, 2014
Must be submitted to me at my office (ISB 249) 1-5PM, Oct 23, or 9AM-12PM, Oct 24, or can be emailed to me by noon, Oct 24.
Quiz 1, due Oct 21: A perturbation problem (with solutions)
Score stats: 7.8 ± 3.0 (out of 10).—6:55AM, Oct 22, 2014
Correction: Seconed line: exam → quiz.—1:00PM, Oct 16, 2014
Homework
Homework 8, due Dec 11: Coupled Oscillators (with solutions)
Correction: Pages 3 and 5: the center element of the $T$ matrix and its inverse must be $-2/\sqrt{6}$, not $-1/\sqrt 3$ (thanks SS!).—12:42AM, Dec 15, 2014
Correction: Problem 4, line 2: gravity → no gravity (thanks PK!).—11:43AM, Dec 10, 2014
Homework 7, due Dec 4: Gravity, Many particles (with solutions)
Homework 6, due 1 PM, Nov 21 (ISB 249): Effective potential, Constraint, Poisson bracket (with solutions)
Change: Due date.—1:21AM, Nov 18, 2014
Homework 5, due Nov 13: Principle of least action, Lagrangian, Hamiltonian (with solutions)
Correction: Problem 2 (a),(b) solutions: One sign error (part (a)) and one trigonometric error (part (b)), corrected.—3:25PM, Nov 15, 2014
Addition: Footnote 1. Also, Ferma → Fermat at one place.—8:37AM, Nov 12, 2014
Correction: Tuesday → Thursday for the due date.—4:02PM, Nov 06, 2014
Homework 4, due Oct 30: Small oscillations (with solutions)
Score stats: 72 ± 16 (out of 90).
Correction: Problem 4, 2(d), solution, line 4: $U''(a) \rightarrow U''(b)$ (Thanks, EH!).—8:19AM, Nov 04, 2014
Addition: Problem 3(g), the definition of $Q$ is explicitly given.—12:30PM, Oct 23, 2014
Homework 3, due Oct 23: Perturbation, Circular motion (with solutions)
Score stats: 49 ± 15 (out of 60).
Change: Problem 1(a) became an extra-credit problem.—12:50PM, Oct 21, 2014
Homework 2, due Oct 16: Newton’s laws (with solutions)
Score stats: 45 ± 22 (out of 75).—2:55PM, Oct 21, 2014
Correction: Problem 2: oppositive → opposite.—7:12PM, Oct 22, 2014
Change: Problem 2(e): $v_0/v_\infty \rightarrow v/v_\infty$ (Thanks to KD, for pointing out this error!)—5:47AM, Oct 15, 2014
Homework 1, due Oct 9: Intro (matrix, vector, perturbation,…) (with solutions)
Score stats: 61 ± 8 (out of 70).—12:52PM, Oct 16, 2014
Change: Problem 4(a): $\sqrt{1-x} \rightarrow \sqrt{2-x}$.—11:37AM, Oct 03, 2014
Correction: The solution for problem 3: an extra factor of $\pi$ was erroneously kept in early parts---that piece of $\pi$ is now removed, throughout (thanks DH, CW, BS, and CM!).—1:07PM, Dec 16, 2014