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Class Diary for Spring 2018
Date |
Topics |
Notes |
| Jan. 8 (M) |
L01: Introduction, syllabus, grading. Reading material: sections 1.1-1.3 |
note1 |
| Jan. 10 (W) |
L02: Coordinate frames. Vectors and vector operations. Position, velocity, acceleration. Example: expanding universe. Exercise: 1.1, 1.5, 1.11. Reading material: sections 1.4, 1.6 |
note2 |
| Jan. 12 (F) |
L03: Reference frames. First and second Newton's laws. Motion under the influence of a constant force. Example 1.1: Block sliding down an incline. Exercise: 1.25, 1.27. Reading material: sections 1.5 |
HW01 posted.
note3
|
| Jan. 15 (M) |
no class, MLK day |
|
| Jan. 17 (W) |
L04: Third law and conservation of momentum. Exercise: 1.32, 1.33. Reading material: section 1.7 |
quiz 1,
note4
|
| Jan. 19 (F) |
L05: Polar coordinates. Newton's second law in 2D polar coordinates. Example 1.2 - Oscillating SkateBoard. End of Chapter 1. Problems for self-study and exam preparation: 1.3; 1.6; 1.7; 1.12; 1.13; 1.15; 1.18; 1.20; 1.47; 1.48. Reading material: sections 2.1 anmd 2.2 |
note5
|
| Jan. 22 (M) |
L06:Friction forces, air resistance. Motion with linear drag. Exercise: 2.7, 2.11, 2.13. Reading material: sections 2.3 and 2.4 |
note6
|
| Jan. 24 (W) |
L07: Tragectory and range in a linear media, quadratic drag. Example 2.5 from the textbook. Reading material: sections 2.5 and 2.6 |
HW01 due,
HW02 posted.
note7
|
| Jan. 26 (F) |
L08: Quadratic drag. Exercise: 2.23, 2.24, 2.26. Motion in a uniform magnetic field. Reading material: sections 2.6 and 2.7 |
note8
|
| Jan. 29 (M) |
L09: Complex exponentials, Solutions for charge in magnetic field. End of Chapter 2. Problems for self-study in preparation for the first exam: 2.5; 2.6; 2.9; 2.15; 2.23; 2.24; 2.26; 2.27; 2.29; 2.30; 2.31; 2.32; 2.36; 2.37; 2.38; 2.39; 2.40. Reading material: sections 3.1, 3.2, 3.3 |
quiz 2,
note9
|
| Jan. 31 (W) |
L10: Momentum, Example 3.1, Inelastic/elastic collisions, rocket motion, thrust, center of mass. Reading material: sections 3.3,3.4 |
HW02 due
HW03 posted
note10
|
| Feb. 2 (F) |
L11: Calculation of Center of Mass, Angular Momentum, Kepler's second law. Reading material: sections 3.5 |
note11
|
| Feb. 5 (M) |
L12:Angular momentum of many particles, moment of inertia. End of Chapter 3. Problems for self-study from Chapter 3: 3.1, 3.2, 3.5, 3.7, 3.9, 3.10, 3.12, 3.22. Reading material: section 4.1, 4.2 |
quiz3,
note12
|
| Feb. 7 (W) |
L13: Chapter4: Kinetik Energy and work. Line integrals. Work-KE theorem, Conservative forces. Reading material: section 4.3, 4.4 |
HW3 due,
HW04 posted
note13
|
| Feb. 9 (F) |
L14: Potential energy, Mechanical energy, Non-conservative forces, Example 4.3. Gradient, Curl Reading material: section 4.5, 4.6, 4.7 |
note14
|
| Feb. 12 (M) |
L15: Summary of chapters 1-3. Problems 1.18, 1.20, 1.22, 2.55, 2.21 |
|
| Feb. 14 (W) |
In-class EXAM 1, Ch.1-3 |
EXAM |
| Feb. 16 (F) |
L16: Review exam 1 problems. Time-dependent potential energy. Effective one-dimensional systems, Equilibrium points, Stable/unstable equilibrium. Problems for self-study: 4.1, 4.3, 4.9, 4.10, 4.13. Reading material: section 4.8 |
note16
|
| Feb. 19 (M) |
L17: Solution of the motion in U(x). Example 4.7. Central forces, Example: gravitational and coulomb fields. Reading material: section 4.9 |
HW4 is due
HW05 posted
note17
|
| Feb. 21 (W) |
L18: Spherical coordinates, gradient in spherical coordinates, energy of interaction of 2 particles. Reading material: section 4.10 |
quiz4,
note18
|
| Feb. 23 (F) |
L19:elastic collisions, energy of interaction of N particles, gravitational binding energy. Reading material: section 5.1, 5.2 |
note19
|
| Feb. 26 (M) |
L20: Hooke's law, simple harmonic motion, relations between exponential and sin/cos solutions (initial conditions, phase), Re{complex exponential}. Example 5.2. Self-study exercise 5.1, 5.2, 5.3, 5.6, 5.8, 5.9: Reading material: section 5.3, 5.4 |
HW5 is due
HW06 posted
note20
|
| Feb. 28 (W) |
L21: 2D and anisotropic oscillators, Lissagous figures, Homogenious equations, Dumping (weak, strong, critical). Self-study exercise 5.10, 5.16, 5.21, 5.22, 5.23, 5.25 Reading material: section 5.5. |
quiz5,
note21
|
| Mar. 2 (F) |
L22: Inhomogenious equations: Driven dumped oscillator, Self-study exercise 5.26, 5.28. Reading material: section 5.6, 5.7 |
note22
|
| Mar. 5 (M) |
no class, spring break |
|
| Mar. 7 (W) |
no class, spring break |
|
| Mar. 9 (F) |
no class, spring break |
|
| Mar. 12 (M) |
L23: Resonance, Q-factor, phase at resonance. Reading material: section 5.7, 5.8 |
HW6 is due,
HW07 posted,
note23,
LIGO1,
LIGO2,
|
| Mar. 14 (W) |
L24: Fourier series. Example 5.4, use FS for driven oscillator. Reading material: section 5.8, 5.9 |
quiz6,
note24,
|
| Mar. 16 (F) |
L25: Oscillator driven by rectangular force, Example 5.5, Parseval's Theorem. Problems for self-study 5.1, 5.2, 5.3, 5.6, 5.8, 5.9, 5.10, 5.16, 5.21, 5.22, 5.23, 5.25, 5.26, 5.28, 5.42, 5.43 |
note25,
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| Mar. 19 (M) |
L26: Summary of chapters 4-5 for the second exam. |
|
| Mar. 21 (W) |
In-class EXAM 2, Ch.4-5 |
EXAM |
| Mar. 23 (F) |
L27: Review of the exam problems and results. Reading material: section 6.1, 6.2 |
HW7 is due |
Mar. 26 (M) |
L28: Chapter 6: Calculus of variation. Stationary integral/path. Shortest path between two points in a plane. Fermat Principle. The Euler-Lagrange equation. Reading material: section 6.3, 6.4 |
HW08 posted,
note28,
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| Mar. 28 (W) |
L29: Application of EL equation: shortest path on a plane, brachistochrone, revolving coordinate frame. Reading material: section 7.1, 7.2 |
note29,
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| Mar. 30 (F) |
L30: Lagrange equations and Newton's laws. Unconstrained motion. Hamilton Principle. Example 7.1, 7.2. Reading material: section 7.2, 7.3 |
quiz7,
note30,
|
| Apr. 2 (M) |
L31: Constrained systems, generalized coordinates, degrees of freedom. Reading material: section 7.4, 7.5 |
HW8 is due,
HW9 posted,
note31,
|
| Apr. 4 (W) |
L32: Holonimic systems. Proof of Lagrange equations with constraints. Homework 8, problem 9 (6.23 from the textbook). |
quiz8,
note32,
|
| Apr. 6 (F) |
L33: Application of Lagrange equations. Example 7.3 and 7.5 |
note33,
|
| Apr. 9 (M) |
L34: Application of Lagrange equations. Example 7.6 and 7.7. Reading material: section 7.6, 7.8 |
HW9 is due,
HW10 posted,
note34
|
| Apr. 11 (W) |
L35:Conservation laws, Noether's Theorem. Hamiltonian. Reading material: section 7.10-7.11 |
quiz9,
note35
|
| Apr. 13 (F) |
L36: Constraints, Lagrange multipliers |
note36
|
| Apr. 16 (M) |
L37: Lagrange multipliers. Catenary |
HW10 is due
note37
|
| Apr. 18 (W) |
L38: Lagrangian of a charged particle in the electric and magnetic fields. |
quiz10,
|
| Apr. 20 (F) |
L39: Review session for the third exam. homework 9,10, problems 7.40, 7.41. The solutions of the discussed problems are posted on canvas - HW09 and HW10. |
canvas |
| Apr. 23 (M) |
In-class Exam 3 |
EXAM |
| Apr. 25 (W) |
L40: Review of the exam problems and results. |
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