MATH426/PHYS408 Studio Calculus/Physics Schedule

Spring 2005


Joint Phys/Calc classes are in blue

Physics classes are in green

Calculus classes are in red

(1) SWBAT means: Students Will Be Able To

Week 1

Mon, 01/17/2005 N01 Martin Luther King, Jr. Day, no classes
Tue, 01/18/2005 P01 First Day of Class - Review of Equilibrium (Problem Ch 12: 6, 7 and 21) SWBAT:
  • Define different types of equilibria
  • Identify forces and torques that balance
  • Solve 1 and 2-d problems
Reading: HRW7 Ch. 12.1 - 12.6
Wed, 01/19/2005 C01
Thu, 01/20/2005 P02 Introduction to Oscillations (Activities on Description of Harmonic Motion of Spring and Investigating Parameters of Motion of Spring) SWBAT:
  • Pick off amplitude, period, phase, frequency given x(t)
  • Recall relations between period, frequency, and angular frequency
  • Understand qualitatively the effect of the mass and the spring constant on the motion
Reading: HRW7 Ch. 15.1 - 15.3
Fri, 01/21/2005 J01

Week 2

Mon, 01/24/2005 C02
Tue, 01/25/2005 P03 Dynamics of Oscillations (Activities on Forces for Object on a Spring and Physical Pendulum) SWBAT:
  • Find the differential equation knowing the forces
  • Solve the differential equation using x = r exp(qt) which was covered in Calculus
  • Go between exponential and trigonometric functions
  • See the role of initial conditions in the solution
Reading: HRW7 Ch. 15.4 - 15.9
Wed, 01/26/2005 C03
Thu, 01/27/2005 P04 The Simple Harmonic Oscillator (Activity on Oscillations on a Spring - modified by Prof. R.E. Simpson) SWBAT:
  • Determine the effective mass of a spring by comparing the measured and calculated period
  • Comfirm that the effective spring mass is of order of 1/3 of the real spring mass
Fri, 01/28/2005 J02

Week 3

Mon, 01/31/2005 C04
Tue, 02/01/2005 P05 Introduction to Waves (Activity on Wave Velocity/Particle Velocity) SWBAT:
  • Distinguish between different types of waves
  • Distinguish between wave and particle motion
Reading: HRW7 Ch. 16.1 - 16.3
Wed, 02/02/2005 C05
Thu, 02/03/2005 P06 Mathematical Formalism for Waves (Activity on Sign in the Phase, Problem Ch 16: 19 and 79, Tutorial on Superposition and Reflection II+III) SWBAT:
  • Translate between words, plots and/or equations description of waves
Reading: HRW7 Ch. 16.4 - 16.8
Fri, 02/04/2005 J03 Problem Solving: Damped SHM (Activity on Damped Harmonic Motion)

Students try to find the smallest value of magnetic damping that meets certain design specification. This is a chance to solve a slightly more difficult differential equation.
Knowledge of the details of magnetic damping are not needed.

Reading: HRW7 Ch. 15.8

Week 4

Mon, 02/07/2005 C06
Tue, 02/08/2005 P07 Superposition of Waves/Resonance (Activity on Resonance an String) SWBAT:
  • Calculate resonance frequencies for a string
Reading: HRW7 Ch. 16.9 - 17.8
Wed, 02/09/2005 C07
Thu, 02/10/2005 P08 Kinetic Theory of Gases (Activity on Temperature) SWBAT:
  • Make a connection between temperature and average kinetic energy
Reading: HRW7 Ch. 19.1 - 19.6
Fri, 02/11/2005 J04 (Snow - 1st hour canceled) Fourier Series (Activity on Fourier Series)

Students will be introduced to the idea of Fourier Series and get a bit of experience in calculating Fourier coefficients.

Week 5

Mon, 02/14/2005 C08
Tue, 02/15/2005 P09 Physics Review - Oscillations & Waves
Wed, 02/16/2005 C09 Calculus Review
Thu, 02/17/2005 P10 Specific Heat and Heat Transfer

Students get another chance to look at conservation of energy through the lens of heat transfer and phase change.

Reading: HRW7 Ch. 18.1 - 18.10

If you interested in understanding specific heat on a more fundamental level consult Ch.19.9 - 19.10
Fri, 02/18/2005 J05 First Test

Week 6

Mon, 02/21/2005 C10
Tue, 02/22/2005 P11 Introduction to Electrostatics (Tutorial on Electric Charge I+II+III) SWBAT:
  • Define "same charges"
  • Explain and give evidence for the principle of superposition
  • Understand induced charge and its effects
  • Solve a three body equilibrium problem
Reading: HRW7 Chapter 21
Wed, 02/23/2005 C11
Thu, 02/24/2005 P12 Coulomb Force, Gravitational Force (Tutorial on Charge IV, Activities on Electrostatic Equilibrium and Net Force) SWBAT:
  • Apply Newton's laws to situations that include Coulomb and/or Gravitational Forces
  • Students know how to find the net force on a charged particle/planet using vector addition
Fri, 02/25/2005 J06 Comet Problem - Part I (Activity on Comet Speed)

Students get a chance to put together gravitational force and work-energy theorem to solve a problem.

Reading: HRW7 Ch. 13.1 - 13.4, 13.6

Week 7

Mon, 02/28/2005 C12
Tue, 03/01/2005 P13 Snow Day - no class
Wed, 03/02/2005 C13
Thu, 03/03/2005 P14 Introduction to E field (Activity on Electric Field and Tutorial on Electric field and Flux)

This conceptual introduction to flux should be done before the mathematical calculations of flux. SWBAT:
  • Define the electric field
  • Interpret electric field lines
  • Point out incorrectly drawn field lines
  • Estimate flux through a surface
Reading: HRW7 Ch. 22.1 - 22.4 and Ch. 23.1 - 23.3
Fri, 03/04/2005 J07 Electric Field due to a Bar of Charge (Activity on E field due to bar of charge)
Hand in one write-up per group. SWAT:
  • Use superposition and knowledge of Reimann sums and integrals to calculate the E field due to a uniform charge distribution
Reading: HRW7 Ch. 22.5 - 22.8

Week 8

Mon, 03/07/2005 C14
Tue, 03/08/2005 P15 Gauss' Law - Part I (Tutorial on Gauss' Law) SWBAT:
  • Estimate flux through a surface using Gauss' Law
  • See why Gauss' law still holds even if the charge is outside the surface
Reading: HRW7 Ch. 23.4 - 23.5
Wed, 03/09/2005 C15
Thu, 03/10/2005 P16 Gauss' Law - Part II (Activities on Gauss' Law and Symmetry and E field calculations using Gauss' Law) SWBAT:
  • Explain why symmetry plus Gauss' Law can help us calculate E in a few special cases
  • Understand why it is useful in ONLY these three cases for finding E
Reading: HRW7 Ch. 23.6 - 23.9
Fri, 03/11/2005 J08 Motion in an Electric Field and Comet Problem - Part II (Activities on Motion in electric field and When will comet hit?)

Students will get a chance to see again that the motion is not necessarily in the direction of the force, and see how to solve a differential equation numerically and check the answers for reasonableness

Week 9

Mon, 03/14/2005 N02 Spring Break
Tue, 03/15/2005 N03 Spring Break
Wed, 03/16/2005 N04 Spring Break
Thu, 03/17/2005 N05 Spring Break
Fri, 03/18/2005 N06 Spring Break

Week 10

Mon, 03/21/2005 C16
Tue, 03/22/2005 P17 Physics Review - Thermodynamics & Electrostatics I (Prof. Pohl is out-of-town)
Wed, 03/23/2005 C17 Calculus Review
Thu, 03/24/2005 P18 Potential Energy - Part I (Activities on Motion in gravitational/electric field, Calculating V due to point charges, and due to charge distributions) SWBAT:
  • Calculate the electric potential for groups of point charges, simple charge distributions and symmetric charge distributions
Reading: HRW7 Ch. 24.1 - 24.3, 24.6 - 24.9, and 22.9
Fri, 03/25/2005 C18

Week 11

Mon, 03/28/2005 J09 Second Test
Tue, 03/29/2005 P19 Potential Energy - Part II (Activities on Visualizing V and V due to a cylinder) SWBAT:
  • Interpret equipotential curves
  • Calculate V for an infinite cylinder
  • Verify V between two concentric hoops
Reading: HRW7 Ch. 24.4 - 24.5 and 24.10 - 24.12
Wed, 03/30/2005 C19
Thu, 03/31/2005 P20 Capacitance - Part I (Activity on Infinite sheets of charge and Tutorial on Capacitance II) SWBAT:
  • Understand the role of a capacitor in a circuit
  • Explain why capacitance depends only on geometry and not on charge or voltage
Reading: HRW7 Ch. 25.1 - 25.3
Fri, 04/01/2005 J10 Physics Day - Capacitance - Part II (Activities on Untangling circuits and Capacitors w/dielectric and Problems on Equivalent capacitance) SWBAT:
  • Recognize capacitors in series and in parallel, even if the circuit is drawn in a messy way
  • Find the equivalent capacitance for a complicated circuit
  • Understand the role of a dielectric material in a capacitor
Reading: HRW7 Ch. 25.4 - 25.7 (25.8 recommended for Physics and EE students)

Week 12

Mon, 04/04/2005 C20
Tue, 04/05/2005 P21 Introduction to Resistors and Kirchhoff's Laws (Tutorial Part I on Current and resistance) SWBAT:
  • Understand the basics of resistors in series and parallel
  • Understand that current is not used up
  • Understand that Kirchhoff's Laws are really conservation of energy and charge
Reading: HRW7 Ch. 26.1 - 26.7 (26.8 + 26.9 recommended for Physics and EE students)
Wed, 04/06/2005 C21
Thu, 04/07/2005 P22 Resistors - Part II (Tutorial Part II on Potential difference, Activity on Am- and Voltmeters, and Problems on Equivalent resistance) SWBAT:
  • Conceptually use the loop rule to predict circuit behavior
  • Find the equivalent resistance
Reading: HRW7 Ch. 27.1 - 27.6
Fri, 04/08/2005 J11 Calculus Day

Week 13

Mon, 04/11/2005 C22 Physics Day - Kirchhoff's Laws (Standard book problems on Kirchhoff's Laws) SWBAT:
  • Analyze a moderately complicated circuit (two to three loops) using Kirchhoff's Laws
Reading: HRW7 Ch. 27.7 + 27.8
Tue, 04/12/2005 P23 Charging and Discharging RC circuits - Day 1 (Activities on Charging and Discharging an RC circuit) SWBAT:
  • Understand an RC circuit conceptually and mathematically
Reading: HRW7 Ch. 27.9
Wed, 04/13/2005 C23
Thu, 04/14/2005 P24 Charging and Discharging RC circuits - Day 2 (Activity on Designing an RC circuit) SWBAT:
  • Understand an RC circuit experimentally
Reading: HRW7 Ch. 27.9
Fri, 04/15/2005 J12

Week 14

Mon, 04/18/2005 C24
Tue, 04/19/2005 P25 Physics Review - Electrostatics II & Circuits
Wed, 04/20/2005 C25 Calculus Review
Thu, 04/21/2005 P26 Introduction to Magnetism (Activity on Investigating Magnets) SWBAT:
  • Draw distinctions between electrostatics and magnetism
  • Sketch the lines of magnetic force
  • See the effect of a magnet on the motion of a beam of electrons
Reading: HRW7 Ch. 28.1 - 28.3
Fri, 04/22/2005 J13 Third Test

Week 15

Mon, 04/25/2005 C26
Tue, 04/26/2005 P27 Motion in a Magnetic Field (Activity on Motion in a constant B field) SWBAT:
  • Explain why a charged particle will move in a circle in a constant B field
  • Explain how we know from the Hall effect that electrons carry current, not protons
Reading: HRW7 Ch. 28.4 - 28.7
Wed, 04/27/2005 C27
Thu, 04/28/2005 P28 Current Loop as a Magnetic Dipole (Tutorial on Magnetic Interactions) SWBAT:
  • See that current loops create magnetic fields similar to bar magnets
  • See that current loops behave like bar magnets when placed near another magnet
  • Understand that there are current loops inside all materials
Reading: HRW7 Ch. 28.8. - 28.10 and Ch. 29.1 - 29.2
Fri, 04/29/2005 J14 LRC Circuit (Activity on A new circuit element)

Students use their knowledge of circuits and differential equations to solve for the time evolution of an LC and an LRC circuit. At this point the inductor is a black box, since inductors are the last thing they learn about this year.

Reading: HRW7 Ch. 30.8 - 30.10 and 31.1 - 31.6

Week 16

Mon, 05/02/2005 C28
Tue, 05/03/2005 P29 Magnetic Fields and Current-carrying wires (Activities on torque on a current loop and B field due to a wire and standard book problems) SWBAT:
  • Calculate the torque on a current loop
  • Calculate the B field due to a straight piece of wire or an arc of wire
  • Calculate the force between two straight current-carrying wires
Reading: HRW7 Ch. 28.9 and 29.1 - 29.3
Wed, 05/04/2005 C29
Thu, 05/05/2005 P30 Ampere's Law and Faraday's Law (Activity on Applying Ampere's law, and standard book problems on Lenz law) SWBAT:
  • Use Ampere's law in situations of high symmetry to calculate the B field
  • See that changing magnetic flux induces a current
  • Calculate how much current is induced in a given situation
Reading: HRW7 Ch. 29.4 - 29.6 and 30.1 - 30.3
Fri, 05/06/2005 C30 Calculus Review

Week 17

Mon, 05/09/2005 P31 Physics Day - Lenz's Law & Review (Tutorial on Lenz's Law) SWBAT:
  • Predict the direction of induced current in a given situation
  • Understand the role of inductors in a circuit
Reading: HRW7 Ch. 30.4 - 30.12
Tue, 05/10/2005 N07 Reading Day
Wed, 05/11/2005 N08 Reading Day
Thu, 05/12/2005 N09 Finals
Fri, 05/13/2005 N10 Finals

Week 18

last update (KP): Thu Jul 7 17:21:45 EDT 2005
Mon, 05/16/2005 N11 Finals
Tue, 05/17/2005 N12 Finals
Wed, 05/18/2005 N13 Finals
Thu, 05/19/2005 N14 Physics Final 8:00 - 10:00 Kingsbury 311