1. Rays, matrices, and transfer maps
1.1. Paraxial approximation
1.2. Thin lenses
1.3. Thick lenses
1.4. Transfer maps
1.5. Computer resources
2. Linear magnetic lenses and deflectors
2.1. Magnetic rigidity, momentum, and cyclotron frequency
2.2. Solenoid focusing
2.3. Quadrupole focusing
2.4. The Kerst-Serber equations and weak focusing
2.5. Dipoles and edge focusing
2.6. Computer resources
3. Periodic lattices and functions
3.1. Solenoid lattice
3.2. FODO lattice
3.3. Lattice and beam functions
3.4. Uniform-focusing ('smooth') approximation
3.5. Linear dispersion
3.6. Momentum compaction, transition gamma, and chromaticity
3.7. Computer resources
4. Emittance and space charge
4.1. Liouville's theorem and emittance
4.2. The Kapchinskij-Vladimirskij (K-V) and thermal distributions
4.3. Thermodynamics of charged-particle beams?
4.4. The K-V envelope equations and space-charge (SC) intensity parameters
4.5. Incoherent space-charge (SC) betatron tune shift
4.6. Coherent tune shift and Laslett coefficients
4.7. Computer resources
5. Beam (sigma) matrix and coupled optics
5.1. Solenoid focusing revisited
5.2. Skew quadrupole
5.3. Beam (sigma) matrix
5.4. Coupled optics
5.5. Angular momentum and the envelope equation in solenoid
5.6. Round-to-flat (RTF) and flat-to-round (FTR) beam adapters
5.7. Computer resources
6. Longitudinal beam dynamics and radiation
6.1. Radio-frequency (RF) linacs
6.2. Beam bunch stability and RF buckets
6.3. Synchrotron radiation
6.4. Insertion devices and free-electron lasers (FELs)
6.5. Longitudinal beam emittance and space charge
6.6. Computer resources
7. Envelope matching, resonances, and dispersion
7.1. Cell envelope FODO matching
7.2. Source-to-cell envelope matching
7.3. Betatron resonances
7.4. Betatron resonances and space charge
7.5. Dispersion and space charge
7.6. Computer resources
8. Linacs and rings (examples), closed orbit, and beam cooling
8.1. Examples of linacs
8.2. Examples of rings
8.3. Closed orbit and correction
8.4. Beam cooling
8.5. Computer resources
9. Small machines and scaled experiments
9.1. The University of Maryland Electron Ring (UMER) : a storage ring for space-charge research
9.2. Small Isochronous Ring (SIR) : space-charge effects in the isochronous regime
9.3. Integrable optics and other physics in IOTA
9.4. Fixed-field alternating-gradient accelerators (FFAGs) : lessons from EMMA
9.5. Beam stability and betatron resonances : Paul traps as model accelerators
9.6. Computer resources
Appendix A. Computer resources and their use
Appendix B. Accelerator magnets.