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Week |
Date |
Topics |
Homework
Problems |
|
1
|
1/21 |
Vector
Review: Addition, dot products, parametric
equations.
Optics:
Nature of Light
Geometrical
Optics: Reflection and Refraction |
(Due
1/23)
1.1:
17
1.2: 11,22,34
1.3: 11,17,28
Ch.
35.1 – 35.3,
Class
Notes |
|
1/23 |
Cross
products, Planes and n-dim
geometry
Geometrical
Optics: Total Internal Reflection |
1.4:
3,9,21
1.5: 3,6,15
1.6: 2,3,10-12,
14
Ch. 35.4,
Class
Notes
Diagnostic
Test Due |
|
2 |
1/26 |
New
Coordinate Systems
Hamilton, Cayley, Sylvester
Paper 1
Distributed -- Due 2/9 (LaTeX
formatted only)
Geometrical
Optics: Let’s Have Some Fun! |
1.6:
19,20
1.7:
9,12,15,18
19,23,27,33
Class
Notes,
WebAssign |
|
1/28 |
Surfaces,
Cavalieri's Principle
Geometrical
Optics: Even More Fun!
Optics
Kits Distributed
-- Due 2/6
(Report
1 in LaTeX only) |
1.7:
39
2.1: 1,2,12,21
5.1:
2,6
Class
Notes,
WebAssign |
|
1/30 |
Double
Integrals
Physical
Waves I: Wave Pulses; Periodic
Waves |
5.1:
7
5.2: 1,3,6,12,16
Ch. 16.1 –
16.3
|
|
3
Math:
Quiz
1
Sample
Quiz 1 |
2/2 |
Order
of Integration
Physical
Waves II: Waves on a String; Energy in a Wave; Power and
Intensity |
(Due:
2/4)
5.2: 26
5.3:
1,3,5,11
Ch. 16.6 –
16.5 |
|
2/4 |
Surface
Integrals
Physical
Waves III: Traveling Waves; Harmonic Traveling
Waves |
5.3:
16
HANDOUT
Ch. 16.6,
Class
Notes |
|
2/6 |
Limits,
Derivatives
Physical
Waves IV: Superposition of Waves; Standing Waves; Wave
Equation |
2.2:
1,3,4,8,
2.3:
1,5,9,17
Ch.
16.7,
Class
Notes
|
|
4
Phys:
Exam 1 |
2/9 |
Derivatives,
Higher-order partial derivatives
Electrostatics:
Electric Charge; Force |
2.3:
19,20,36
2.4: 1,3,12
Paper 1
Due
Ch. 23.1 –
23.4
|
|
2/11 |
Derivatives,
Higher-order partial derivatives
(continued)
Electrostatics:
Electric
Field; Electric Field due to Charge Distribution;
|
Ch. 23.5 –
23.6,
Class
Notes |
|
2/13 |
Chain
Rule
Electrostatics:
Matter and Electric Field; Dipoles |
2.3:
49
Surface
Integrals Probs
Ch. 24.1 –
24.2
Exam 1 Due |
|
5
Math:
Quiz
2 |
2/18 |
Directional
Derivatives
Electrostatics:
Pictorial Description of Electric Field; Electric
Flux |
2.4:
21
2.5:
1,6,9,10
Ch. 24.1 –
24.3,
Class
Notes |
|
2/19 |
Parameterized
Curves - Kepler's Laws
Electrostatics:
Gauss’s Law |
2.5:
20,21,31
2.6:
1,3,9,18
Ch. 24.4,
Class
Notes |
|
2/20 |
Arclength
and Differential Geometry, Vector
Fields
Electrostatics:
Using Gauss’s Law |
2.6:
11,12,14
3.1:
1,7,11,16
Ch. 24.5 –
24.6
|
|
6 |
2/23 |
Gradient,
Divergence, Curl, Del
Electrostatics:
Even More on Gauss’s Law; Fields due to Various Charge
Distributions; Conductors |
3.2:
5,12,13,22
3.3:
1,3,5,13,17
Ch. 25.1 –
25.4 |
|
2/25 |
Triple
Integrals
Electrostatics:
Even More on Gauss’s Law |
3.3:
23
3.4:
1,4,8,10,12,17
Ch.
25.5,
Class
Notes |
|
2/27 |
Applications
Electrostatics: Gauss’s Law in Differential
Form |
3.4:
28
5.4: 1,3,5
5.6:
6
Class
Notes
|
|
7
Math:
Quiz 3 |
3/1 |
Line
Integrals
Electrostatics:
Electric Fields in Conductors; Electrostatic Potential;
Electrostatic Potential due to a Dipole; Electrostatic Energy
of Various Charge Distributions and of Electric
Fields |
5.4: 1,3,5
5.6: 6,11,24
6.1: 1,3
Ch. 26.1 –
26.3 |
|
3/3 |
Conservative
Vector Fields:
Green's
Theorem
|
5.6:
24-26
6.1: 7,13,18,22
6.2: 1,5
Ch. 26.4 –
26.5 |
|
3/5 |
Electrostatics:
Some Fun with Electrostatic Potential
(Report
2 in LaTeX only)
Potential
Kits Distributed
-- Due 3/22
|
Ch. 26.6 –
26.7
|
|
8
Phys:
Exam
2 |
3/8 |
Stokes
Theorem
Electrostatics:
Capacitors and Energy Storage; Capacitors in Series and
Parallel; Capacitors and Dielectrics |
(This
counts as two homework assignments)
6.2:
15,20,21
6.3:
1,2,5,19
7.3:
3,5,17
(Lay) 1.1:
1,3,6
1.2:
1,4,17,21
Ch. 27.1 –
27.2 |
|
3/10 |
Gauss's
Theorem
Electric
Current: Definitions and Conduction
Mechanism
Motor Kits Distributed
-- Due 4/26
(Report 3 in LaTeX
only) |
No
homework due!
Ch. 27.3 –
27.4 |
|
3/12 |
Gaussian
Elimination - Row Echelon Form
The
Vector Equation A x =
b
|
(Lay)
1.3:
6,10,12,17
1.4:
8,13,17,24
Class
Notes
|
|
|
3/15
-
3/19 |
Spring Break - No
Classes |
|
|
9
Math:
Quiz 4 |
3/22 |
Linear
independence
Electric
Current: Definitions and Conduction
Mechanism |
(This
counts as two homework assignments)
1.5:
1,5,16
1.6: 1,14
1.7:
1,4,9,22
1.8:
1,4,9,17
1.9: 4,8,15,24
Ch.
27.4
Report 2 Due |
|
3/24 |
Introduction
to Linear Transformations, Linear
Models
Electric
Circuit: EMF (Ideal and Non-Ideal) |
1.8:
30,38
1.9: 38
1.10:
1,9
Ch.
28.1 |
|
3/26 |
Inverse
of a Matrix, Characteristics of the
Inverse
Electric
Circuit: EMF, Simple Circuits |
1.10:
5,7
2.2: 1,5,1018
2.3:
1,2,8,13,14
Ch. 28.1 -
28.3,
Class
Notes
Exam 2 Due |
|
10 |
3/29 |
Matrix
Factorizations
Electric
Circuit: EMF, Simple Circuits |
2.4:
12,21,25,27
2.5: 1,4,17
Ch. 28.1 -
28.3,
Class
Notes |
|
3/31 |
Big Conversation - No
Class
|
|
|
4/2 |
Subspaces
of R^n
Electric
Circuit: Kirchhoff’s Laws |
2.5:
22-26
2.8: 1-4,7,10,11
Ch. 28.4 –
28.5
|
|
11
Math:
Quiz 5
|
4/5 |
Dimension
and Rank
Electric
Circuit: Ammeter and Voltmeter |
2.8:
31-34
2.9: 2,6.13,17
Ch.
28.5 |
|
4/7 |
Inner
products, length, orthogonality
Electric
Circuit: Circuits with
Capacitors |
2.9:
27,28
6.1: 25,30,34
Ch.
28.6 |
|
4/9 |
Additional Physics Class
Magnetism:
Historical Background, Nomenclature, and Magnetic
Fields |
6.5:
1,4,17,26
6.6: 1,6,11
Ch. 29.1 –
29.2
|
|
12
|
4/12 |
Determinants
Magnetism:
Magnetic Forces on Moving Charges, on a Current, and on a
Current Loop |
No homework due
Ch. 29.2 –
29.5 |
|
4/14 |
Least
Squares, Difference
Equations
Magnetism:
Biot-Savart Law; Magnetic Force Between Two Current-Carrying
Wires; Ampere's Law |
3.2:
19,23,25,27,28
Ch. 30.1 –
30.4 |
|
4/16 |
Markov
Chains
Magnetism:
Ampere's Law; Solenoids and Toroids; Magnetic Matter; Magnetic
Monopoles |
4.8:
17,19,21
4.9:
1,4,17
Ch. 30.3 -
30.7,
Class
Notes
|
|
13
Math:
Quiz 6
|
4/20 |
Eigenvectors
and Eigenvalues
Magnetism:
Induced Currents; Faraday's Law;
Diamagnetism |
5.1:
1,6,8,11,15
5.2: 23,27
Ch. 31.1 – 31.2,
31.5 |
|
4/21 |
Characteristic
Equation
Magnetism:
Induction and Conservation of Energy; Induced Electric
Fields |
5.1:
18,22, 27,33
5.2:
1,6,9,13,22
Ch. 31.3 –
31.4 |
|
4/23 |
Diagonalization
Magnetism:
Mutual Inductance; Self-Inductance; Inductors in Circuits;
Magnetic Energy |
5.3:
1,9,15,18
Self-Taught
Assignment Due
Ch. 32.1 –
32.4 |
|
14
Phys:
Exam 3 |
4/26 |
Eigenvectors
and Linear Transformations
Electromagnetism:
Maxwell’s Equations |
5.3:
22,27
5.4: 1,5,7,25,26
Ch. 34.4 –
34.6
|
|
4/28 |
Complex
Eigenvalues
Electromagnetism:
EM Waves |
5.5:
1, 7, 16, 24
Ch. 34.6 –
34.7
Motor
Competition!
Diagnostic Test Due
Exam 3 Due
(on
4/29 at 4 pm in OC369) | |
|
| |
