PHYS 1410 6.0 Physical Science

Math Addendum to upgrade from algebra-based to calculus-based physics: math

Winter 2013

• Intro. to Electricity (Jan 7, 2013) [ch.17.1]
  
• Tutorial 1 notes (Jan 8)
  • Polya's problem solving guide
  • Polya's bear
  • Pointillism
  • The shortest ladder....
• Coulomb's Law, Electric Fields (Jan 9) [ch.17.2-3] (slides)
  
• Electric Fields (cont), Conductors/Insulators, Electric Flux (Jan 11) [ch.17.3-5]
  
• Electric Flux (cont), Closed Surfaces, Gauss' Law (Jan 14) [ch.17.5] (slides)
  
• Tutorial 2 notes (Jan 15)
  • Pre-Problem 1: Pandas
  • Pre-Problem 2: I-spy
  • Some (solved) problems dealing with flux, Gauss' Law, etc... (slides)
• Electric Potential Energy (Jan 16) [ch.18.1]
  
• Electric Potential (Jan 18) [ch.18.2]
  
• Equipotential lines, Conductors, Capacitors (Jan 21) [ch.18.3-4]
  
• Tutorial 3 notes (Jan 22)
  • Pre-Problem: Falsity
  • Some (solved) problems
• Capacitors (cont.) (Jan 23) [ch.18.4]
  
• Dielectrics (Jan 25) [ch.18.5] (some useful pics)
  
• Electric circuits, Current, Batteries (Jan 28) [ch.19.1-2]. References for some of the topics noted in class:
  • Zwislocki (1962) (Analysis of the Middle-Ear Function. Part I: Input Impedance)
  • Ogorzalek (1993) (Taming Chaos-Part I: Synchronization)
  • Hopfield & Tank (1986) (Computing with Neural Circuits: A Model)
  • Graf et al. (1988) (VLSI Implementation of a Neural Network Model)
  • Balkany et al. (2002) (Cochlear Implants in Children - A Review)
• Tutorial 4 notes (Jan 29)
  • Pre-Problem: C and T. But why?
  • Some (solved) problems
• Ohm's Law (Jan 30) [ch.19.3]
  
• DC circuits, Kirchoff's Laws (Feb 1) [ch.19.4]
  
• Kirchoff's Laws (cont) (Feb 4) [ch.19.4, 19.6]
  
• Tutorial 5 notes (Feb 5)
  • Pre-Problem: What is the pattern....
  • Some (solved) problems
• RC circuits (Feb 6) [ch.19.5, 19.7]
  
• Class cancelled (Feb 8) → Will need to make up this material on 2/11 tutorial
  
• Intro. to magnetism (Feb 11) [ch.20.1-20.2] (some useful pics)
  
• Tutorial 6 notes (Feb 12)
  • Pre-Problem: Cultural bias?
  • Ampere's Law (Feb 12) [ch.20.7]
    
• Ampere's Law (cont.) (Feb 11) [ch.20.7] {Note: this is a makeup for 2/8 snow day} (derivation for a current-carrying loop from Knight's book using the Biot-Savart Law; note that this is simply for reference and you will not need to know this level of detail for the exam)
  
• Solenoids, Magnetic forces (Feb 15) [ch.20.2-20.4, 20.6] (some useful pics)
  
• Review (Feb 25)
  
• Tutorial 7 notes (Feb 26)
  • Giordano problems (try to do ahead of time!): 17.48, 18.31, 19.46, 19.100, 20.17, 20.52
  • Solutions
    
  • NOTE: Want to make a minor correction re Giordano problem 18.31 as discussed in class. It was incorrectly stated that the electric field (E) would be zero inside the hollow portion of the sphere (r < r1). If you think about Gauss' Law, that must not be true. It is only inside the conductor (i.e., r1 < r < r2) that E will be zero. See your 1/22/13 notes (Knight fig.27.33) for a visual along these lines. With regard to a metal box acting as a shield (e.g., http://en.wikipedia.org/wiki/Faraday_cage), the conductor acts to make E due to external charge (i.e., any charge located at r > r2) zero inside (i.e., r < r1), but not necessarily charge inside the inner conductor. Hence the notion of a 'shield'. Sorry for any confusion.
• EXAM 1 (Feb 27) (formula sheet)
  
• Magnetic flux, Faraday's Law (Mar 1) [ch.21.1-21.2]
  
• Lenz's Law (Mar 4) [ch.21.3]
  
• Tutorial 8 notes (Mar 5)
  • Pre-Problem: Which is the odd one out?
  • Giordano ch.21 problems (try to do ahead of time!): Q7 (and P7), Q8, P21, P25, P29
  • Solutions
• Inductance and RL Circuits (Mar 6) [ch.21.4-21.5]
  
• Energy in Magnetic Fields, Transformers (Mar 8) [ch.21.6, 22.9]
  
• Oscillations, Harmonic Motion (Mar 11) [ch.11.1] (a useful reference regarding complex numbers)
  
• Tutorial 9 notes (Mar 12)
  • Solutions to problems discussed in class (incl. some basics on complex #s)
• Simple Harmonic Oscillator (Mar 13) [ch.11.2-11.3]
  
• Damped/Driven Harmonic Oscillator, Resonance (Mar 15) [ch.11.5, 22.6]
  
• AC Circuits (Mar 18) [ch.22.1, 22.2] ('analogy' slides discussed in class re other ways to think about some of the course concepts)
  
• Tutorial 10 notes (Mar 19)
  • Problems
  • Solutions
• AC Circuits (cont.) (Mar 20) [ch.22.2-22.4]
  
• LC circuit, EM Waves (Mar 22) [ch.22.5, 22.8, 23.1]
  
• Waves (Mar 25) [ch.12.1-12.3]
  
• Tutorial 11 notes (Mar 26)
  • Pre-Problems
  • Notes on waves, sound, & hearing
• Wave Interference, Maxwell's Eqns. (Mar 27) [ch.12.4, 12.5, 12.8, 23.2] (for those interested, beyond the scope of 1410, one can use Maxwell's equations to get a wave, these notes from Knight's book are very useful)
  
• EM Waves (Apr 1) [ch.23.3, 23.4, 23.5, 23.6, 23.8]
  
• Tutorial 12 notes (Apr 2)
  • Problems
  • Solutions
• Beyond 1410 (Apr 5) [Note: This material will not directly be on the final exam]
  
• 1410 Review notes (Apr 8) [Note: These notes are not meant to be completely exhaustive, but should provide a useful guide when preparing for the final; see also note from 2/25]
  

Fall 2012

What is Physics? (slides shown on Sept 7, 2012)
Math prep (Sept 10 and 12)
Motion (kinematics) (Sept 12 and 14)
Newton's Laws (Sept 17 and 19)
Forces and Motion (Sept 21 and 24)
Projectile motion (Sept 28)
Tension (Oct 1 and 3)
Friction (basics) (Oct 3 and 5)
Inclined planes (and more) (Oct 5 and 10)
Reference frames (Oct 12 and 15)
Circular motion (Oct 17 and 19)
Gravity and planetary motion (Oct 22 and 26)
Work and energy (Oct 29 to Nov 9)
Momentum (Nov 12)
Impulse (Nov 14)
Collisions (Nov 16)
Centre of mass (Nov 19)
Torque (Nov 19 to Nov 23)
Moment of inertia (Nov 23)
Rotational dynamics (Nov 26)
Kinetic energy of rotation and energy conservation (Nov 30)
Angular momentum (Dec 4)