Summary of lecture notes:
. Back to 361 home page
. To directory listing
The html versions are best for viewing; the postscript versions are
likely to print quickly and easily.
-
Lecture 1 [Aug/30] : Welcome and Review of Newtonian Mechanics
html
or postscript
-
Lecture 2 [Sep/04] : Conservation laws; Methods for F(t), F(v)
html
or postscript
-
Lecture 3 [Sep/06] : Sample F(v); Bound/Unbound Motions in
Potential V(x)
html
or postscript
-
Lecture 4 [Sep/9] : Motion in V(x): Turning points, Speed,
Plots and Roller Coasters
html
or postscript
-
Lecture 5 [Sep/11] : Motion Near Equilibrium; Quantitative Potential
Methods
html
or postscript
-
Lecture 6 [Sep/13] : Sample: SHM from Potential Methods; Phasors and
D.E.'s
html
or postscript
-
Lecture 7 [Sep/16] : More on D.E.'s; SHO examples
html
or postscript
-
Lecture 8 [Sep/18] : Intro, Damped Harmonic Oscillator
html
or postscript
-
Lecture 9 [Sep/20] : Critical Damping; Intro, Driven Harmonic Oscillator
html
or postscript
-
Lecture 10 [Sep/23] : Resonance; Intuition on Taylor Expansions
html
or postscript
-
Lecture 11 [Sep/25] : Full solutions and Fourier series; Intro Multidimensional Mechanics
html
or postscript
-
Lecture 12 [Sep/27] : Acceleration in Components: Polar and Spherical Coordinates
html
or postscript
-
Lecture 13 [Sep/30] : 3-d Complications; The Work-energy theorem and potential in 3-d
html
or postscript
-
Lecture 14 [Oct/02] : Evaluating loop integrals; Stokes' theorem, Curl
and the Gradient
html
or postscript
-
Lecture 15 [Oct/04] : More on Gradients; Conservative Forces as Gradients
html
or postscript
-
Lecture 16 [Oct/07] : Drawbacks of Newtonian formalism; General Coordinate Transformations of Newton II
html
or postscript
-
Lecture 17 [Oct/09] : Euler-Lagrange from Newton II
html
or postscript
-
Lecture 18 [Oct/11] : Examples and Advantage of Lagrangian Approach (Pendulum, Bead on Wire)
html
or postscript
-
Lecture 19 [Oct/16] : Intro to Variational Calculus
html
or postscript
-
Lecture 20 [Oct/18] : Euler-Lagrange from Variational Principles; Hamilton's principle; the Jacobi integral
html
or postscript
-
Lecture 21 [Oct/21] : Example Problem: Geodesics on the Sphere
html
or postscript
-
Lecture 22 [Oct/23] : Variational Problems, Generalizations and Constraints
html
or postscript
-
Lecture 23 [Oct/25] : Example Constrained Extremization Problems; Geometry
html
or postscript
-
Lecture 24 [Oct/28] : Constrained Problems in Variational Calculus and Mechanics
html
or postscript
-
Lecture 25 [Oct/30] : Heuristics, Degrees of Freedom, Proper and Overcomplete sets of coordinates
html
or postscript
-
Lecture 26 [Nov/01] : Example: Motion and Tension of Spherical Pendulum
html
or postscript
-
Lecture 27 [Nov/04] : Example: Motion and Friction, Disk Rolling without Slipping on Incline Plane
html
or postscript
-
Lecture 28 [Nov/06] : Comments on Constraints; Intro to Symmetries and Conservation Laws
html
or postscript
-
Lecture 29 [Nov/08] : Galilean Group; Noether's Theorem
html
or postscript
-
Lecture 30 [Nov/11] : Noether's Theorem Examples
html
or postscript
-
Lecture 31 [Nov/13] : Hamiltonian Mechanics; Intro to Central Force Motion
html
or postscript
-
Lecture 32 [Nov/18] : The Central Force Effective Potential
html
or postscript
-
Lecture 33 [Nov/20] : Qualitative Central Force Motion; Circular and Near-Circular Orbits
html
or postscript
-
Lecture 34 [Nov/22] : Integral Solutions; Orbit Equation; Solution and
Energetics for Gravitational Interaction
html
or postscript
-
Lecture 35 [Nov/25] : The Geometry of Gravitational Orbits
html
or postscript
-
Lecture 36 [Nov/27] : Kepler's Laws; Rutherford Scattering and Repulsive Coulomb orbits
html
or postscript
-
Lecture 37 [Dec/02] : Intro to Multiparticle Systems: Separating
Center of mass and relative motion; Translational and Rotational (Euler) Equations
html
or postscript
-
Lecture 38 [Dec/04] : Intro to Rigid Bodies: Euler's theorem,
Space and Body fixed frames, Fictitious Forces
html
or postscript
-
Lecture 39 [Dec/06] : Rigid bodies with one point fixed: Angular Momentum and the Inertia Tensor
html
or postscript
-
Lecture 40 [Dec/09] : Principal Axes; Euler's equations; Uniform Rotation; Free Rotation of a Symmetric Top in Space and Body-fixed Frames
html
or postscript
Last modified: Mon Dec 9 15:05:59 1996