# Winter Term 2 2014 Math 103 Section 206

Please visit the wiki found here for the current up to date information.

The main course wiki page can be found here.

The syllabus I started for the course can be found here on this Github repository.

- Here are a copy of my course notes for the year (first used in 2013).
- Tuesday Jan 7th, 2014.
- Thursday Jan 9th, 2014.
- Fill in the blank notes on substitution.
- Fill in the blank notes on integration by parts.
- Fill in the blank notes on integration by parial fractions.
- Fill in the blank notes on integration using trigonometric functions.
- Fill in the blank notes on integration by trigonometric substitution.
- Fill in the blank notes on the centroid.
- Midterm 2 Practice Problems.
- Midterm Scattered Notes.
- Midterm Integration Bee.
- L'Hopital's Rule.
- Steady States Introduction.
- Series slides.
- Series tests.
- Series slides 2.
- Solving a series.

Below is a list of my pencasts I made for this course. Sadly, the original Livescribe player no longer works. I've capped all the videos myself but there will be pauses now when I write something which you won't be able to see. I still think the videos and content have values so I've left them here.

Here are the files.

- Summing a geometric series.
- Riemann sum notation.
- Converting Riemann sums to definite integrals.
- The Fundamental Theorem of Calculus.
- On sketching an integral given a sketch of a function.
- Area between two curves (no audio on this file for some reason - sorry!)
- Area between two curves with respect to the y-axis.
- Volume of revolution around axis parallel to x-axis.
- Volume of revolution around axis parallel to y-axis.
- Integration by parts using the "table method" (Only I call it this).
- How to Integrate Part 1.
- How to Integrate Part 2.
- How to Integrate Part 3.
- How to Integrate Part 4.
- Problem with differential equations.
- Formal proof of the above video.
- Bad things happen if you don't check convergence first!
- Stability, fixed points, equilibria, steady states, monotonic, oscillatory and other buzz words.
- Cobwebbing by hand.
- One last cobwebbing example.
- How to Determine Convergent Series Part 1
- How to Determine Convergent Series Part 2
- How to Determine Convergent Series Part 3
- How to Determine Convergent Series Part 4
- Derivatives using Taylor series.