==== Unit:  The Period of a Pendulum (Potential energy diagrams and integrated lab) ====



=== Potential energy diagrams (50 minutes)===
  * [[..:prereq:ospre:osprepediagrams|Prerequisite Ideas]]
  * [[..:lecture:oslec:oslecenergydiagram|Potential energy diagrams]] (Lecture, 50 minutes)
  * [[..:activities:osact:osenergydiagramsim|Energy Diagram Analysis]] (Small Group Activity, 15 minutes)
  * [[..:hw:oshw:oshwpediagrams|Homework]]


=== Pendulum lab (50 minutes)===
  * [[..:prereq:ospre:osprependulumlab|Prerequisite Ideas]]
  * [[..:activities:osact:ospendulumlab|Pendulum Lab]] (Integrated Lab Activity, 50 minutes)
  * [[..:hw:oshw:oshwtopic1|Homework]]





=== Pendulum period calculation  (110 minutes)===
  * [[..:prereq:ospre:osprependulumperiodcalc|Prerequisite Ideas]]
  * [[..:activities:osact:ospendulumworksheet|Calculation of Pendulum Period (Numerical Approach)]] (Group problem solving activity, 50 minutes) (alternative a)
  * [[..:activities:osact:ospendwspowerseries|Calculation of Pendulum Period (Power Series Approach)]] (Group problem solving activity, 50 minutes) (alternative b)
  * [[..:hw:oshw:oshwtopic1|Homework]]

==== Unit:  Representing Harmonic Motion ====


=== Real representations (30 minutes)===
  * [[..:prereq:ospre:osprerealrepsho|Prerequisite Ideas]]
  * [[..:lecture:oslec:oslecharmonic_real|Amplitude/phase and sine-plus-cosine]] (Lecture, 15 minutes)
  * [[..:activities:osact:osintialconditions|Initial conditions]] (Group Activity, 15 minutes)
  * [[..:hw:oshw:oshwrealrepharmonic|Homework]]


=== Complex representations (70 minutes)===
  * [[..:prereq:ospre:osprecomplexrepsho|Prerequisite Ideas]]
  * [[..:lecture:oslec:osleccomplexreview|Review complex numbers & Euler]] (Lecture, 40 minutes)
  * [[..:lecture:oslec:osleccomplexreps|Complex representations; Initial conditions revisited]] (Lecture, 20 minutes)
  * [[..:hw:oshw:oshwcomplexrepharmonic|Homework]]


=== The simple harmonic oscillator (50 minutes)===
  * [[..:prereq:ospre:ospresho|Prerequisite Ideas]]
  * [[..:lecture:oslec:oslecpendnewtonlaw|Simple pendulum from Newton's Law]] (Lecture, 50 minutes)
  * [[..:hw:oshw:oshwtopic2|Homework]]

==== Unit:  Damped Harmonic Motion ====

=== The underdamped oscillator (50 minutes)===
  * [[..:prereq:ospre:ospredampedho|Prerequisite Ideas]]
  * [[..:lecture:oslec:oslecdampedho|Underdamped oscillator]] (Lecture, 50 minutes)
  * [[..:hw:oshw:oshwunderdamped|Homework]]


==== Unit:  Driven Harmonic Oscillator, Fourier Series & Resonance ====

=== Single-Frequency Sinusoidal Driving Force (150 minutes)===
  * [[..:prereq:ospre:ospresfharmdrive|Prerequisite Ideas]]
  * [[..:activities:osact:osharmoniclrclab|Harmonic LRC Lab]] (Integrated Lab Activity, 70 minutes)
  * [[..:lecture:oslec:oslectopic3|Response of LRC circuit to sinusoidal driving force]] (Lecture, 30 minutes)
  * [[..:lecture:oslec:oslectopic2|Lab analysis, Admittance, impedance, resonance]] (Discussion & Lecture, 40 minutes)
  * [[..:activities:osact:osthreesindrivers|Three sinusoidal driving forces]] (Group Activity, 10 minutes)
  * [[..:hw:oshw:oshwdriven|Homework]]



=== Building & deconstructing periodic functions (xx minutes)===
  * [[..:prereq:ospre:osprefourier|Prerequisite Ideas]]
  * [[..:activities:osact:osfourierguess| Guessing the Fourier Expansion of a Function]] (Group Activity, 15 minutes)
  * [[..:activities:osact:osharmonicproj| Products of harmonic functions & projections]] (Group Activity, xx minutes)
  * [[..:lecture:oslec:oslecfouriercoefflec|Fourier coefficients]] (Lecture, xx minutes)
  * [[..:activities:osact:osfourierpiecewise| Fourier coefficients of a piecewise periodic function]] (Group Activity, 40 minutes)
  * [[..:hw:oshw:oshwtopic3|Homework]]


==== Unit:  Response to an Impulse & a Simple Fourier Integral ====

=== Response to an impulse & a simple Fourier integral (xx minutes)===
  * [[..:prereq:ospre:ospreimpulselrc|Prerequisite Ideas]]
  * [[..:lecture:oslec:oslecimpulse function|The impulse function]] (Lecture, xx minutes)
  * [[..:activities:osact:osimpulselrclab|Impulse LRC Lab]] (Integrated Lab Activity, 20 minutes)
  * Fast Fourier transform
  * [[..:lecture:oslec:oslecftexample|Fourier transform example]] (Lecture, xx minutes)
  * [[..:hw:oshw:oshwtopic3|Homework]]