Date | Lecture # | Topic | Reading | Notes |
Jan. 12 | 1 | Angular Velocity Vector | 9.1 -- 9.3 | syllabus and HW1 distributed |
Jan. 14 | 2 | Newton's Law in a Rotating Frame | 9.4 -- 9.5 | |
Jan. 16 | 3 | Centrifugal, Coriolis, and Transverse Forces | 9.6 -- 9.7 | |
Jan. 19 | MLK Holiday |
Jan. 21 | 4 | Effect of Earth's Rotation | 9.8 | HW1 due, HW2 distributed |
Jan. 23 | 5 | Foucault Pendulum | 9.9 -- 9.10 | |
Jan. 26 | 6 | Euler--Lagrange Equation | 6.1 -- 6.2 | |
Jan. 28 | 7 | Applications of Euler--Lagrange | 6.3 -- 6.4 | HW2 due, HW3 distributed |
Jan. 30 | 8 | Lagrange's Equation for Unconstrained Motion | 7.1 | Grade Portfolio |
Feb. 2 | 9 | Lagrange's Equation for Constrained Motion | 7.2 -- 7.3 | |
Feb. 4 | 10 | Examples Using Lagrange's Equations | 7.4 -- 7.5 | HW3 due, HW4 distributed |
Feb. 6 | 11 | Review | Ch. 9, 6, and 7.1 -- 7.3 | |
Feb. 9 | | | | Midterm #1 (Chs 9, 6, and 7.1 -- 7.3) |
Feb. 11 | 12 | Generalized Momenta and Ignorable Coordinates | 7.5 -- 7.6 | |
Feb. 13 | 13 | Conservation Laws and Constraint Froces | 7.7, 7.8, 7.10 | |
Feb. 16 | 14 | Properties of the Center of Mass | 10.1 | HW4 due, HW5 distributed |
Feb. 18 | 15 | Rotation about a Fixed Axis | 10.2 | |
Feb. 20 | 16 | Rotation about any Axis | 10.3 | |
Feb. 23 | 17 | Principal Axes of Inertia and Precession | 10.4 -- 10.6 | HW5 due, HW6 distributed |
Feb. 25 | 18 | Euler's Equations | 10.7 -- 10.8 | |
Feb. 27 | 19 | Two Coupled Oscillators | 11.1 -- 11.2 | |
Mar. 2 | 20 | Weakly Coupled Oscillators | 11.3 -- 11.4 | HW6 due, HW7 distributed |
Mar. 4 | 21 | Lagrangian Approach | 11.5 | Grade Portfolio |
Mar. 6 | 22 | General Case | 11.6 -- 11.7 | |
Mar. 9 | 23 | Hamilton's Equations (1D) | 13.1 -- 13.2 | HW7 due, HW8 distributed |
Mar. 11 | 24 | Review Chs. 7, 10, 11 | | |
Mar. 13 | | | | Midterm 2 (Chs. 7, 10, 11) |
Mar. 16-20 | Spring Break |
Mar. 23 | 25 | Hamilton's Equations (1D) | 13.1 -- 13.2 | |
Mar. 25 | 26 | Hamilton's Equations | 13.3 --13.4 | |
Mar. 27 | 27 | Phase-Space Orbits | 13.5 --13.6 | |
Mar. 30 | 28 | Impact Parameter and Cross Section | 14.1 --14.2 | HW8 due, HW9 distributed |
Apr. 1 | 29 | Scattering Angle and Differential Cross Section | 14.3 -- 14.4 | |
Apr. 3 | 30 | Rutherford Scattering | 14.5 --14.6 | |
Apr. 6 | 31 | Postulates of Special Relativity | 15.1 -- 15.4 | HW9 due, HW10 distributed |
Apr. 8 | 32 | Lorentz Transformation | 15.5 --15.7 | |
Apr. 10 | 33 | Four-Vectors | 15.8 -- 15.10 | |
Apr. 13 | 34 | Relativistic Mass and Energy | 15.11 -- 15.14 | HW10 due, HW11 distributed |
Apr. 15 | 35 | Relativistic Collisions | 15.15 -- 15.17 | |
Apr. 17 | 36 | Wave Equation | 16.1 -- 16.2, 16.4 | Grade Portfolio |
Apr. 20 | 37 | Stress and Strain | 16.5 -- 16.6 | HW11 due, HW12 distributed |
Apr. 22 | 38 | Strain Tensor | 16.7 | |
Apr. 24 | 39 | Hydrodynamics | 16.12 | |
Apr. 27 | 40 | Final Review | | HW12 due |
May 1 | Final Exam 1:20 to 3:50 Covering all Chapters |