## Math 621A & 621B Links

These links are organized by section to make it easier to locate them … but the 621A and 621B material is mixed together. Although it’s sometimes indicated which material belongs to which course, proceed carefully all the same!

I’ll be changing and updating this page constantly, but let me know if you find any broken links!!

General Resources

- No calculator at home? Try this online scientific calculator.
- An online graphing calculator you might find useful … easy to use
- Here’s another online graphing calculator
**HippoCampus**— EXCELLENT general resource!! Links to many math and calculus topics; each one includes a mini-lesson with examples and audio.- YouTube math teacher’s site: pmssmathteacher – excellent collection
- Here’s an amazing YouTube collection of videos that demonstrates dozens of examples of different math topics, including things we cover in every one of our high school math courses!! DEFINITELY worth taking a look through on your own, and I’ll pick out and highlight a few useful ones below for each course.
**Mister2pi**on YouTube — another great collection of math videos; many topics.**PurpleMath**is another excellent resource … click on the topic you want.- Need some extra help with certain topics? Why not Ask Dr. Math!
- An excellent variety of tutorials/videos is online at the Kahn Academy.
- Just “How Long is a Piece of String?” (good math/physics documentary, including
**fractals**) - Try the Numberphile collection on YouTube … lots of cool and interesting math here!
- Basic fractions skills (in case you need them)
- Graphmatica quick start (some basic tips and tricks); download the program (or app) at www.graphmatica.com.
- Another nice program to download: Graph

**Course Websites and Blogs **[exact same courses and material as our own!]

**621A:**YouTube videos for each section (look for “Foundations 30”), more video lessons (“again, look for “Foundations 30”); plus some teacher websites: Site 1, and …- mrscantelon – lots of lessons here, but because the sites are not organized into playlists, you’ll have to go through and pick out our sections from our book–look for the section number and title
- MathScienceX – a few videos for Foundations 12, and more being added

**621B:**Site 1, YouTube videos for each section, and more YouTube videos here (look for “Pre-Calc 30”)- Math 621B textbook, pdf version

** Transformations** [mostly 621B, a little in 621A]

- A video of the basic graphs that every algebra student should know (and so will you, eventually)! The first five minutes or so cover the basic graphs we’ve seen so far, and the rest we’ll encounter with time.
- A nice summary of the basic transformations (but be warned: some of the rules and letters used don’t match our textbooks).
- Here’s a nice little review of the basic transformations and some graphs of each.
- Another collection worth a look
- For 621B: some examples of the Sign Test for even and odd functions.
- A bit of further information dealing with inverses of functions.
- Function composition: nice examples and explanations

**
Exponents and Logarithms** [in both courses, but logs get only a brief mention in 621A]

- Khan Academy–several videos on exponents and logarithms; look under the “Algebra” section for logarithm links (middle column) and the “Algebra I Worked Examples” sections for exponents (middle column).
- Here’s a decent page that shows the basic definition of logarithm, and a few examples too
- This page shows the connection between exponents and logarithms via inverses
- A bit of fun with Napier’s bones

**Trigonometry** [both courses, but we cover equations/identities in 621B]

- An animation of the sine graph and its link to the unit circle
- Here’s a nice description of how the sine curve can be created from the unit circle … covers domain, range, amplitude, and more.
- “Reference Angles and Trig Functions” (YouTube) … especially good for 621B
- Sinusoidal graphs: Video 1, Video 2 [note that different letters might represent the amplitude, etc. … so go carefully!]
- Trig identities: Site 1, Site 2 [first 5 examples] Video 1, Video 2, and some examples with worked solutions

**Set Theory and Logic** [621A]

- Several good YouTube videos on set theory: Video 1, Video 2, Video 3, Video 4, Video 5, Video 6 (there are several parts to this final link … just follow “Part 2,” etc. in the right panel on screen
- For some “three-set” problems: Site 1
- A few logic sites and links: Site 1, Site 2, Site 3

**Combinatorics and Probability** [combinatorics in both, probability in 621A]

- A quick lesson on factorials
- This YouTube site has some excellent tutorials on set theory, permutations, combinations and statistics … just search for any of these in the search box on the page (click on the magnifying glass)
- This
**page**has some nice examples and good explanations, but ignore the “Combinations with Repeats” part at the very bottom of the page … we didn’t cover this! - Combinations and Permutations Calculator
- Some examples of the FCP
- Pascal’s Triangle: a nice explanation and applications can be found here
- Some applets for experimental probability: Spinner, Coin Toss,
- A basics page on probability, with links to some nice little experiments that you can do yourself to practice the concepts
- A nice set of examples concerning odds in probability

**Consumerism** [621A, though we cover compound interest in 621B as well]

- What is interest? Find out here!
- Here are a simple interest calculator and an online TVM calculator (for compound interest)
- An online calculator that involves regular payments
- A couple of sites for the TI-83 financial apps: Site 1
- Online Canadian credit card calculators: #1 and #2
- Mortgages: Amortization table generator
- Information on credit ratings in Canada

**Polynomials** [mostly 621B, with a little bit done in 621A]

- Examples of polynomial long division (this page and the next one in the link), with a proof of the Remainder Theorem
- Examples of synthetic division (there are also a couple on the Remainder Theorem page above)
- Polynomial division applets/calculators: Site 1 (long – quotient not “lined up”), Site 2 (synthetic)
- Some pages dealing with polynomial functions and their graphs: Page 1 Page 2 Page 3
- A nice collection of cubic polynomial factoring problems and cubic equations/graphs

**Set Theory and Logic **[621A]

- Basic set theory videos: Video #1 Video #2, and Video #3
- Union and intersection of sets
- Set operations and notation
- Venn diagrams
- Converse, Inverse and Contrapositive: Site 1, Video 1, Video 2, Video 3

**Regression and “Curves of Best Fit”** [621A]

- TI-83/84 tutorials for regressions: Site 1, Video 1
- From Purple Math: an explanation of regressions plus TI-83 worked examples
- Linear Regression applets: Site 1, Site 2 (worked example with TI-83)
- Polynomial Regression applets: Site 1 (general polynomial)
- A site with linear, quadratic and exponential regression applets
- A nice example of an exponential regression, worked through with the TI-83
- Logarithmic Regression applet
**NOTE:**Google “regression applet” and you’ll find lots more … just pay attention to the format of the regression equation and that you know which parameters are which [all use different variables!]