PHY 404G Mechanics, Fall 2021

Course Information:

Instructor:	Christopher B. Crawford, 7-2504, CP295A
Office hours:	Tues 3-4pm, Thurs 4-5 pm or by appointment at CP295A or zoom
Class schedule:	M W F 9:00-9:50, CP-183
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, student resources, course feedback,

Homework

HW	Due Date	Problems

H01	Thurs, 09/02	pdf, Rev. A (source)
H02	Tues, 09/14	pdf, Rev. A (source, note)
H03	Sun, 09/26	pdf, Rev. A (source, Fig 1, pendulum.m)
H04	Sun, 10/03	pdf, Rev. B (source)
H05	Thurs, 10/14	pdf, Rev. A (source)
H06	Sun, 10/24	pdf, Rev. A (source)
H07	Tues, 11/02	pdf, Rev. A (source)
H08	Tues, 11/16	pdf, Rev. A (source)
H09	Tues, 11/23	pdf, Rev. A (source)
H10	Sun, 12/05	pdf, Rev. A (source)

Lecture Notes

Date	Reading	Homework		Lecture

8/23	T1.1-2		L00	Introduction (notes, video).
8/25	M1.1,3.5	H01#1a	L01	ODEs (notes, video, example).
8/27	S1-13	H01#1bc	L02	Matlab (slides, matlab video, matrix video example).

8/30	NR9.4,6	H01#1de	L03	Newton-Raphson (slides, NR video, example, shfun.m, jacobian.m, in-class in-class).
9/01	M3.2.3,3.3.4; T2.1-4	H01#2a	L04	Damped Ballistic Motion (slides, video).
9/03	M1.2	H02#1abcdef	L05	Vector Geometry (slides, video).

9/06				Labour Day
9/08	MI	H02#2abc	L06	Index Notation (slides, video).
9/10	MI; M1.2.13; N7.9-10	H02#2def	L07	Complex Numbers/Matrix Rotations (slides, video).

9/13	T-A.1; N7.10-14	H02#3abcde	L08	Eigensystems/Matrix Stretches (slides, video).
9/15	M2.1.1-6,10-12; T1.7	H03#1abcd	L09	Coordinate/reciprocal basis (notes, video from 0:00-1:48 and 13:13-36:19).
9/17	M2.1.7-9,13-16	H03#1e2ab	L10	Metric (notes, video from 36:19-53:10).

9/20	M2.1.17-18	H03#2c	L11	Connection (notes, video from 5:15-34:50).
9/22	M2.2, 5.2.14-15; T7.1-6,11.4	H03#2d	L12	Lagrange's equations (notes, video from 34:50-1:26:19).
9/24		H03#2e		finish Lagrange's equations.

9/27	T6.1-4	H04#1ab	L13	Calculus of variations (notes, video from 0:00-16.05).
9/29	M5.2.16-20; T13.1-7	H04#2abcd	L14	Hamilton's equations (notes, video).
10/01	M5.2.8-10; T7.9	H04#3	L15	Conservation principles (notes, video).

10/04	T2.7	H05#1ab	L16	Electromagnetic fields (notes, video).
10/06	M3.3.3, T5.1-2	H05#1c	L17	Harmonic Oscillator (notes, video).
10/08	M3.3.5, T5.4	H05#2ab	L18	Impedance analogy (notes, video).

10/11			EX1	Exam 1 (practice quiz problems) .
10/13	M3.3.6-8, T5.5-6		L19	Resonance (notes).
10/15	M3.3.9, T11.1-3	H06#1ab	L20	Coupled oscillators (notes, video from 3:16-22:44).

10/18	T11.7,A.2	H06#1c	L21	Normal coordinates (continued notes, video).
10/20	T16.1-2	H06#2abc	L22	Wave equation/dispersion (notes, video).
10/22	T16.3	H06#2defg	L23	Transmission/reflection (notes, video).

10/25				Fall Break
10/27	T16.4-5,12-13	H07#1abc	L24	Potential theory (notes, video).
10/29		H07#1def	L25	Surface Tension and Bernoulli's law (see L24).

11/01	T16.6-11	H07#2abc	L26	Elastic moduli (notes, video).
11/03	T3.1-3	H08#0	L27	Conservation of momentum (notes, video).
11/05	M5.2.11-13, T3.4-5	H08#1abcd	L28	Conservation of angular momentum (notes, video).

11/08	M3.2.1,4.1,5.2.1-7, T4.1-10	H08#2ab	L29	Conservation of energy (notes, video).
11/10	M7.1.9-14, 8.1.1-4	H08#2c	L30	Anatomy of the inverse-square law (notes, video).
11/12	M8.1-5, T8.1-4	H08#3	L31	Reduced mass/Centrifugal potential (notes).

11/15	M8.1.6-7, T8.5-6,8	H08#3	L32	Keplerian motion (notes).
11/17	M8.2, T14.1-5	H09#1	L33	Scattering cross section (notes, video).
11/19	T8.7, 14.6	H09#2ab	L34	Rutherford scattering (notes, video).

11/22		H09#3abc4ab	L35	Optical potential .
11/24				Thanksgiving
11/26				Thanksgiving

11/29	M1.3,6.1, T9.1-7	H10#1	L36	Rotating frames (notes).
12/01	T10.6	H10#2abcd	L37	Precession (notes, video).
12/03			L38	Inertia tensor , Euler's angles (notes).

12/06	M1.3,6.1, T9.1-7		L39	Poinsot ellipsoid (mathematica), Gyroscope (notes).
12/08			L42	Summary (notes.
12/13	8-10 am		EXF	Final Exam (practice quiz problems) Monday 8-10 AM

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