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Math 43 Resources
Here are some general math help sites.
On these sites you would need to search for the topic yourself.
http://archives.math.utk.edu/visual.calculus/
More resources may be listed here as the quarter progresses.
Helpful links for some specific topics are listed below.
Only some topics have links.
If you find good links for any other topics please share them with the instructor who can post them to share with the class.
Conic sections
Go to Math 43 Conics Resources
Parametric and Polar Graphing
Go To Math43 Parametric & Polar Resources
Vectors in 2 and 3 dimensions, Lines and Planes in 3 dimensions Go To Math 43 Vectors Resources
Solving Systems of Linear Equations with Matrices and Row Operations
You Tube Video Mini-lectures on Row Operations, Gaussian Elimination, and Gauss Jordan Elimination
Augmented Matrix for a System of Linear Equations
http://www.youtube.com/user/refrigeratormathprof#p/u/329/OGuOLiW5ULI
Row Operations
http://www.youtube.com/watch?v=QTlSKGSqsso&feature=mfu_in_order&list=UL
Gaussian Elimination
http://www.youtube.com/watch?v=zGYUC1NMzn0&feature=related
Gauss Jordan Elimination
http://www.youtube.com/watch?v=fdUS4p-_nOQ&feature=mfu_in_order&list=UL
The difference between Gaussian Elimination and Gauss Jordan Elimination is the final form of the matrix.
In Gaussian Elimination, you use back substitution to finish solving the system. The final form of the matrix is ROW ECHELON form.
In Gauss Jordan elimination, you continue to do more row operations until you can read the solution directly from the matrix (you do not need to do back substitution). The final form of the matrix is REDUCED ROW ECHELON form.
Why is Gauss Jordan elimination important?
Computers can easily do the row operations to achieve reduced row echelon form and read the solution directly from the equations. For very large systems of linear equations, it is more efficient to do this than to do back substitution. Computers use Gauss Jordan elimination to solve systems of hundreds or thousands of linear equations in applications in business and industry.
Link to more explanations about linear systems and types of solutions
http://people.richland.edu/james/lecture/m116/matrices/matrices.html
Instructions: How to PIVOT using row operations to get a matrix into Reduced Row Echelon Form
http://nebula.deanza.edu/~bloom/math43/PivotRREF.pdf
Matrices
Video Examples: Multiplying two matrices
http://www.youtube.com/watch?v=N3WT8_TWDYs&feature=related
http://www.youtube.com/watch?v=8a9GUFurw3w&feature=fvw
Class Notes for example for finding the determinant of a 4x4 matrix
http://nebula.deanza.edu/~bloom/math43/Determinant4x4Matrix.pdf
Contains the example done at the end of class, with the arithmetic errors corrected.
Also shows the same example done by expanding using the second column, which is much easier for this problem
Video Examples: Determinant of a 3x3 matrix
http://www.youtube.com/watch?v=21LWuY8i6Hw
http://www.youtube.com/watch?v=I9mXoN8HG7M
In addition to knowing how to find the determinant of a 3x3 matrix using the methods above, you do need to understand the language in the book for minors and cofactors and how to find the determinant of a 4x4 or larger matrix. Read section 8.4 in the book.
Freeware & Demos for the Computer
The following two graphing software programs are easy to use, free, and graph plane curves for functions in cartesian(rectangular) coordinates, parametric curves, polar curves. They both also graph in 3D (x,y,z) coordinates. Winplot also graphs implicit equations in 2D (and differential equations which is not covered until Math 1B)
MathGV Graphing Software (freeware) for the PC
http://www.MathGV.com
WinPlot Graphing Software (freeware) for the PC
http://math.exeter.edu/rparris/winplot.html
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