WEEK # | SES # | TOPICS | READINGS |
---|---|---|---|
Week 1 Introduction, electric field | 1 | Intro: Electrostatics | Sections 2.1.1-2.1.4. |
2 | Electrostatics problem solving | ||
Week 2 Mathematical background | 3 | Vector review | Review: Vectors Sections 1.1.1-1.1.4. Differential calculus: Div, grad, curl Sections 1.2.1-1.2.7. |
4 | Divergence, gradient, curl | Sections 1.3.1-1.3.3. | |
5 | Integral calculus, Dirac delta function | Section 1.3.4. | |
6 | Dirac delta function, curvilinear coordinates | Section 1.5. | |
Week 3 Gauss's law and electric potential | 7 | More curvilinear coordinates: Div and grad in spherical coordinates; Gauss's law | Section 1.41. |
8 | Applications of Gauss's law: Field lines, point charge, Gaussian surfaces | Divergence of electrostatic fields Sections 2.2.1-2.2.2. Application of Gauss's law Section 2.2.3. | |
9 | Applications of Gauss's law: Line charge, plane charge | Application of Gauss's law Section 2.2.3. The curl of electric field Section 2.2.4. | |
10 | Electric potential; Poisson's equation; Laplace's equation | Sections 2.3.1-2.3.5. | |
Week 4 Work and energy in electrostatics; conductors and capacitors | 11 | Electrostatic boundary conditions; conductors | Electrostatic boundary conditions Section 2.3.5. Conductors Section 2.5. |
12 | Capacitors, dielectrics, work | Sections 2.4.1-2.4.4. | |
13 | Capacitors, work, first and second uniqueness theorems | Sections 2.5.1-2.5.4. | |
Week 5 The method of images and multipole expansion | 14 | Method of images | Laplace's equation Sections 3.1.3-3.1.6. The method of images Sections 3.2.1-3.2.4. |
15 | Parallel plate capacitor, electric dipole | Multipole expansion Sections 3.4.1-3.4.2. Electric dipole Sections 3.4.3-3.4.4. | |
16 | Separation of variables | Section 3.3. | |
Week 6 Exam 1 | 17 | Review for exam 1 | |
18 | Exam 1 | ||
Week 7 Magnetostatics and special relativity | 19 | Dielectrics | Sections 4.1, 4.2, and 4.3. |
20 | Magnetostatics, electric currents | Dielectrics Section 4.4. Electricity and magnetism Purcell. Chapter 4. | |
21 | Special relativity | Electricity and magnetism Purcell. Chapter 4. | |
22 | Special relativity (cont.) | Sections 12.1.1-12.1.4. Purcell. Chapter 5. | |
Week 8 Magnetic fields | 23 | Electric fields and force | Sections 12.1.1-12.1.4. Purcell. Chapter 5. |
24 | Magnetic fields; Lorenz force law | Sections 5.1.1-5.1.3. | |
25 | Cycloidal motion; Biot-Savart law | Sections 5.1.1-5.1.3. | |
26 | Biot-Savart law (cont.); Ampere's law | Section 12.3.1. Purcell. Chapter 5. | |
Week 9 Magnetic fields; Maxwell's laws; magnetic properties of materials | 27 | Maxwell's equations | Sections 5.3.1-5.3.4. |
28 | Induction | Problem solving Ampere's law Sections 5.3.1-5.3.4. Griffiths vector potential Section 5.4.1. | |
29 | Magnetic boundary conditions; magnetic dipole | Section 5.2. | |
30 | Magnetization; magnetic properties of materials | Magnetic boundary conditions Section 5.4.2. Multipole expansion of vector potential, magnetic moments Section 5.4.3. | |
Week 10 Exam 2; magnetized materials | 31 | Review for exam 2 | |
32 | Exam 2 | ||
33 | Ampere's law in magnetized materials | Magnetization Sections 6.1-6.4. Magnetic properties of materials and quantum mechanics Feynman. Chapters 34-37. | |
34 | Bound current; ferromagnetism | Sections 7.1.1-7.1.3. | |
Week 11 Circuits | 35 | Circuits | Faraday's law of induction Section 7.2.1. The induced electric field Section 7.2.2. |
36 | Circuits; undriven RC circuits; Thevenin's theorem | Section 7.2.3. | |
37 | Thevenin's theorem (cont.); Ohm's law; Faraday's law; Lenz's law | Section 7.2.4. | |
38 | Alternating current circuits | Section 7.2.4. | |
Week 12 Circuits (cont.) | 39 | Inductance | Alternating current circuits Purcell. Chapter 8. |
40 | Undriven RLC circuits | Alternating current circuits Purcell. Chapter 8. | |
41 | Driven RLC circuits; Ladder impedance | Purcell. Chapter 8. | |
Week 13 Maxwell; momentum | 42 | Maxwell's equations | Alternating current circuits Purcell. Chapter 8. Maxwell's equations Section 7.3. |
43 | Poynting vector; Maxwell stress tensor | Section 7.3. | |
44 | Conservation of momentum; Minkowski force | Sections 8.1.1-8.1.2. Momentum Section 8.2. | |
45 | Review for exam 3 | ||
Week 14 Electromagnetic waves | 46 | Exam 3 | |
47 | Electromagnetic waves | Sections 9.1.1.1-9.1.2. | |
48 | Electromagnetic waves (cont.) | Sections 9.1.1.1-9.1.3. | |
49 | Topics for next week; relativity | Sections 12.1-12.3. | |
Week 15 Advanced topics in relativity; quantum | 50 | Faraday tensor; Maxwell; General relativity | Sections 12.1-12.3. |
51 | Quantum | ||
52 | Schrodinger equation |