PHY 404G Mechanics, Fall 2020

Course Information:

Instructor:	Christopher B. Crawford, 7-2504, CP295A
Office hours:	Tues,Thurs 4:00-5:00 pm or by appointment on zoom
Grader:	Ashish Kakkar, Tues 11-12 am or by appointment on zoom.
Class schedule:	M W F 9:00-9:50, Room 202, The 90
CMS:	Announcements and assignments are managed in Canvas.
Textbook:	Grant W. Mason, "A Short Introduction to Theoretical Mechanics," (required)
	John r. Taylor, "Classical mechanics" (required)
	Grant R. Fowles, "Analytical Mechanics" (supplement)

Resources:	syllabus (appendix), student resources, course feedback,

Homework

HW	Due Date	Problems

H01	Thurs, 08/27	pdf, Rev. B (source)
H02	Sun, 09/06	pdf, Rev. A (source, note)
H03	Wed, 09/16	pdf, Rev. A (source, Fig 1, pendulum.m)
H04	Tues, 09/22	pdf, Rev. A (source)
H05	Mon, 10/05	pdf, Rev. A (source)
EX1	Sun, 10/04	pdf, Rev. A (source, solution)
H06	Wed, 10/14	pdf, Rev. A (source)
H07	Tues, 10/20	pdf, Rev. B (source)
H08	Tues, 11/03	pdf, Rev. B (source)
H09	Tues, 11/10	pdf, Rev. A (source)
H10	Tues, 11/17	pdf, Rev. A (source)
EXF	Sun, 11/29	pdf, Rev. A (source )

Lecture Notes

Date	Reading		Lecture

8/17	T1.1-2	L00	Introduction (notes, video).
8/19	M1.1,3.5	L01	ODEs (notes, video, example).
8/21	S1-13	L02	Matlab (slides, video, example).

8/24	NR9.4,6	L03	Newton-Raphson (slides, NR, matrix videos, example, shfun.m, jacobian.m, in-class in-class).
8/26	M3.2.3,3.3.4; T2.1-4	L04	Damped Ballistic Motion (slides, video).
8/28	M1.2	L05	Vector Geometry (slides, video).

8/31	MI	L06	Index Notation (slides, video).
9/02	MI; M1.2.13; N7.9-10	L07	Complex Numbers/Matrix Rotations (slides, video).
9/04	T-A.1; N7.10-14	L08	Eigensystems/Matrix Stretches (slides, video).

9/07	M2.1.1-6,10-12; T1.7	L09	Coordinate/reciprocal basis (notes, video from 0:00-1:48 and 13:13-36:19).
9/09	M2.1.7-9,13-16	L10	Metric (notes, video from 36:19-53:10).
9/11	M2.1.17-18	L11	Connection (notes, video from 5:15-34:50).

9/14	M2.2, 5.2.14-15; T7.1-6,11.4	L12	Lagrange's equations (notes, video from 34:50-1:26:19).
9/16	T6.1-4	L13	Calculus of variations (notes, video from 0:00-16.05).
9/18	M5.2.16-20; T13.1-7	L14	Hamilton's equations (notes, video).

9/21	M5.2.8-10; T7.9	L15	Conservation principles (notes, video).
9/23	T2.7	L16	Electromagnetic fields (notes, video).
9/25	M3.3.3, T5.1-2	L17	Harmonic Oscillator (notes, video).

9/28	M3.3.5, T5.4	L18	Impedance analogy (notes, video).
9/30	M3.3.6-8, T5.5-6	L19	Resonance (notes, video).
10/02		EX1	Exam 1 (solution).

10/05	M3.3.9, T11.1-3	L20	Coupled oscillators (notes, video from 3:16-22:44).
10/07	T11.7,A.2	L21	Normal coordinates (continued notes, video).
10/09	T16.1-2	L22	Wave equation/dispersion (notes, video).

10/12	T16.3	L23	Transmission/reflection (notes, video).
10/14	T16.4-5,12-13	L24	Potential theory (notes, video).
10/16		L25	Surface Tension and Bernoulli's law (see L24).

10/19	T16.6-11	L26	Elastic moduli (notes, video).
10/21	T3.1-3	L27	Conservation of momentum (notes, video).
10/23	M5.2.11-13, T3.4-5	L28	Conservation of angular momentum (notes, video).

10/26	M3.2.1,4.1,5.2.1-7, T4.1-10	L29	Conservation of energy (notes, video).
10/28	M7.1.9-14, 8.1.1-4	L30	Anatomy of the inverse-square law (notes, video).
10/30	M8.1-5, T8.1-4	L31	Reduced mass/Centrifugal potential (notes).

11/2	M8.1.6-7, T8.5-6,8	L32	Keplerian motion (notes).
11/4	M8.2, T14.1-5	L33	Scattering cross section (notes, video).
11/6	T8.7, 14.6	L34	Rutherford scattering (notes, video).

11/9		L35	Optical potential .
11/11	M1.3,6.1, T9.1-7	L36	Rotating frames .
11/13	T10.6	L37	Precession (notes, video).

11/16		L38	Inertia tensor .
11/18	M1.3,6.1, T9.1-7	L39	Euler's angles .
11/20	T10.6	L40	Spinning top .

11/23		L41	Summary .
12/4	8-10 am	EXF	Final Exam due Sunday 11:59 PM

Resources
- Octave Online or CoCalc for numerical Linear Algebra
- Spencer, Ware, Introduction to Matlab - BYU Physics
- Mason, Introduction to Index Notation
- Nearing, Mathematical Tools for Physicists
- Press, Teukolsky, Vetterling, and Flannery, Numerical Recipes in C
- Abramowitz and Stegun, Handbook of Mathematical functions, NIST Digital Library of Mathematical Functions
- Wolfram Mathematica Online Integrator