Physics 303: Analytical Mechanics I

Instructor

Prof. Douglas Fields
Email: fields@unm.edu
Office: PAIS 3220


Description of the class


This class is the first of two undergraduate mechanics classes for physics and engineering majors. In it, we will cover classical mechanics from basic Newton's Laws to coupled harmonic oscillators.


Lectures

Monday, Wednsday, Friday 12:00 - 12:50, PAIS 1140.

Textbook

Textbook for the class
John R. Taylor, Classical Mechanics


Office hours

Instructor
Before or after class times, or during problem sessions (see below).

Grader
The grader is Brandon Stone and can be reached via email at bstone898@unm.edu

Grading

The grading in the course will be based on your performance on four midterm exams (best 3/4 exams) your homework grade, and the final exam grade.

Homework

Homework is due (once per chapter) before class on the day it is due (see below for schedule).

Problems class

Listed officially as PHYS 313 001, will take place in PAIS 1140, Tuesdays, 1300-1350.

Syllabus


Week/Lec.# Date Before Class Reading Homework (Due before class) Subject
1/1 Mon. 08/22 Chapter 1 Introduction
1/2 Wed. 08/24 Chapter 1
Newton's Laws and Conservation of Momentum
1/3 Fri. 08/26 Chapter 1
Newton's Laws and Conservation of Momentum
2/4 Mon. 08/29 Chapter 2 Set 1: 1.10, 1.17, 1.19, 1.29, 1.30, 1.35, 1.38, 1.39, 1.46, 1.49
Air Resistance and Drag forces
2/5 Wed. 08/31 Chapter 2
Air Resistance and Drag forces
2/6 Fri. 09/02 Chapter 2
Motion of a Charge in a Magnetic Field
Mon. 09/05
Labor Day
3/7 Wed. 09/07 Chapters 1 and 2 Set 2: 2.4, 2.6, 2.12, 2.13, 2.18, 2.19, 2.23, 2.27, 2.33, 2.39, 2.47, 2.53 Review and work problems
Fri. 09/09 Chapters 1 and 2
Exam 1
4/8 Mon. 09/12 Chapter 3
Conservation of Momentum and Center of Mass
4/9 Wed. 09/14 Chapter 3
Conservation of Momentum and Center of Mass
4/10 Fri. 09/16 Chapter 3
Conservation of Angular Momentum
5/11 Mon. 09/19 Chapter 4 Set 3: 3.2, 3.4, 3.8, 3.12, 3.14, 3.22, 3.25, 3.30, 3.32, 3.34 Kinetic and Potential Energy
5/12 Wed. 09/21 Chapter 4
Usefulness of Potential Energy 1
5/13 Fri. 09/23 Chapter 4
Usefulness of Potential Energy 2
6/14 Mon. 09/26 Chapter 4
Usefulness of Potential Energy 3
6/15 Wed. 09/28 Chapters 3 and 4 Review and work problems Set 4: 4.2, 4.4, 4.8, 4.12, 4.18, 4.24, 4.25, 4.28, 4.30, 4.34, 4.36, 4.44, 4.48 Review and work problems
Fri. 09/30 Chapters 3 and 4
Exam 2
7/15 Mon. 10/03 Chapter 5
Hooke's Law and Simple Harmonic Motion
7/16 Wed. 10/05 Chapter 5
Damped Oscillations
7/17 Fri. 10/07 Chapter 5
Driven Oscillations and Resonance
8/18 Mon. 10/10 Chapter 5
Resonance
8/19 Wed. 10/12 Chapter 5
Fourier Transformations
Fri. 10/14
Fall Break
9/20 Mon. 10/17 Chapter 5
Review and work problems
9/21 Wed. 10/19 Chapter 6 Set 5: 5.2, 5.4, 5.8, 5.10, 5.16, 5.19, 5.22, 5.26, 5.28, 5.30, 5.34, 5.42, 5.44, 5.48, 5.49
Euler-Lagrange Equation
9/23 Fri. 10/21 Chapter 6
Euler-Lagrange Equation
10/24 Mon. 10/24 Chapter 6
Applcations and multi-dimensions
10/25 Wed. 10/26 Chapter 6
Applcations and multi-dimensions
10/26 Fri. 10/28 Chapter 6
Review and work problems
Mon. 10/31 Chapters 5 and 6 Set 6: 6.1, 6.4, 6.6, 6.10, 6.16, 6.18, 6.20, 6.23, 6.25
Exam 3
11/27 Wed. 11/02 Chapter 7
Lagrange's equations with unconstrained motion
11/28 Fri. 11/04 Chapter 7
Constrained systems and generalized coordinates
12/29 Mon. 11/07 Chapter 7
Constrained systems and generalized coordinates
12/30 Wed. 11/09 Chapter 7
Conservation Laws and Noether's Theorem
12/31 Fri. 11/11 Chapter 7
Magnetic Forces and Lagrange Multipliers
13/32 Mon. 11/14 Chapter 7 Examples
13/33 Wed. 11/16 Chapter 7 Review and work problems
13/34 Fri. 11/18 Chapter 13 Set 7: 7.3, 7.8, 7.10, 7.12, 7.14, 7.16, 7,20, 7.22, 7.26, 7.28, 7.29, 7.34, 7.37, 7.40
Hamiltonian Formalism
14/35 Mon. 11/21 Chapter 13
Difference between Hamiltonian and Lagrangian Formalism
14/36 Wed. 11/23 Chapter 13
Examples
Fri. 11/25
Thanksgiving Break
15/37 Mon. 11/28 Chapter 13
Examples
15/38 Wed. 11/30 Chapter 13
Phase Space
15/38 Fri. 12/02 Chapter 13
Review and Work Problems
Mon. 12/05 Chapters 7 and 13 Set 8: 13.2, 13.3, 13.4, 13.7, 13.8, 13.10, 13.12, 13.17, 13.18, 13.20, 13.23, 13.26, 13.31, 13.32, 13.35
Exam 4
16/39 Wed. 12/07 Chapters 1 - 7, 13
Review and Work Problems
16/40 Fri. 12/09 Chapters 1 - 7, 13
Review and Work Problems
? Chapters 1 - 7, 13
Final Exam


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