Day | Topic: Subtopic |
Reading (Bridge Book) (Main, Alternate, Deep) |
Due Dates |
---|---|---|---|
1 Thu 9/24 |
Paradigms/Course Intro Intro Scalars and Vectors Dot Products Circle Trigonometry Simulation Position Vector |
GEM ix-xv Introduction Dimensions RHB 7.6 GEM 1.1.1-1.1.2 Dot Products Vectors GEM 1.1.4 | |
2 Fri 9/25 |
Complex Numbers Review Websites Argand Diagram Euler's Formula Complex Algebra Phases |
|
HW 0 Solutions |
3 Mon 9/28 |
1-D Integration Work VEUF intro |
| |
4 Tue 9/29 |
Charge Densities Densities Line, surface, and volume densities Fields Total Charge (rectangular) Curvilinear coordinates Definitions ds Line Elements Total Charge Line, surface, and volume integrals |
Densities GEM 2.1.4 Scalar Fields RHB 10.9, GEM 1.1.4, 1.4 RHB 10.10 Definition Integration Scalar Line Integrals Surface Elements Cylinders/Spheres Cylinders/Spheres Hint Scalar Surface Integrals Volume Integrals RHB 11, GEM 1.3.1 Boas 6.8 Total Charge Total Charge Hint | |
5 Wed 9/30 |
Potentials for E & g Coulomb's Law Superposition Visualizing Potentials Equipotential surfaces Visualize: Mathematica Visualize: Maple Visualize: PhET Superposition of Discrete Sources Dipoles Voltmeters Zero of potential Charges away from the origin r-r' Star Trek |
GEM 2.3.2 Potentials Visualizing Equipotentials More Visualizing Equipotentials Visualizing w/ Technology More Visualizing w/ Technology Voltmeters RHB 7.2 |
HW 1 Solutions |
6 Thu 10/1 |
Power Series Definition Power Series Theorems Approximations using power series Adding up terms |
RHB 4.5 Boas 1 RHB 4.6 Definitions Memorize Coefficients More Coefficients Dimensions Approximations Theorems Adding up terms More Adding Up Convergence | |
7 Fri 10/2 |
Superposition of Discrete Sources Dipoles Near and far limits |
Dipoles Near and Far More Dipoles |
HW 2 Solutions |
8 Mon 10/5 |
Superposition of Continuous Sources Continuous charge distributions The ring |
Ring More Ring RHB 11.1, 11.5-11.6, GEM 2.3.4, MT 5.1-5.2 | |
9 Tue 10/6 |
The Ring Limits near and far |
Limiting Cases | |
10 Wed 10/7 |
Superposition of Continuous Sources Finite LIne Green functions Charges that extend to infinity Infinite Line |
Finite Line Infinite Line |
HW 3 Solutions |
11 Thu 10/8 |
Quantifying Change 1-d Derivatives Discrete Data Visualizing Derivatives Differentials Partial derivatives Gradients |
RHB 5.1-5.2 Boas 6.6 Partial Derivatives RHB 10.7, GEM 1.1.1-1.1.2 Boas 6.7 Schey IV Chain Rule Gradient Directional Derivatives Integration | |
12 Fri 10/9 |
Curvilinear Basis Vectors Vector differential dr in curvilinear Gradient in Curvilinear Coords Cross & Triple Products Vector Surface Elements |
Basis Vectors More Basis Vectors GEM 1.4 Definition Polar Coords Cylindrical/Spherical Cylindrical/Spherical Hint Curvilinear Coords Vector Line Integrals Use What You Know RHB 7.6 GEM 1.1.1-1.1.3 Cross Product Triple Product Surface Elements Cylinders/Spheres Cylinders/Spheres Hint Scalar Surface Integrals Volume Integrals |
HW 4 Solutions |
13 Mon 10/12 |
E & g Fields From gradients Vector Line Integrals E & g Fields E Ring |
TM 5.3 Electric Fields Vector Line Integrals GEM 2.1, MT 5.4 | |
14 Tue 10/13 |
Limits of Ring Drawing Electric Field Vectors Visualize Gradients Possible Electric Fields |
| |
15 Wed 10/14 |
Energy VEUF square |
GEM 2.4 |
HW 5 Solutions |
16 Thu 10/15 |
Murder Mystery Method |
| |
17 Fri 10/16 |
Review |
Review |
HW 6 Solutions |
18 Mon 10/19 |
Final (7 pm) |
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