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MATH REVIEW HELPER |
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Here are the Mathematics links that will help you with the FE exam. These are short-content links and will give you a fast review.
Analytic Geometry Perpendicular Lines [YOUTUBE 3:30 ] Triangle Perimeter [BLOG]
Roots of Equations Primer [HTML]
Calculus Differentiation Primer [HTML] Integration Primer [HTML]
Differential Equations Differential Equations Primer [HTML] General Solution of 2nd order ODE Example [BLOG] Exact Solution of 1st order ODE [YOUTUBE 6:48] Exact Solution of 1st order ODE: Another Example [YOUTUBE 7:37] Exact Solution of 2nd order ODE: Distinct Roots of Characteristic Equation [YOUTUBE 8:50] Exact Solution of 2nd order ODE: Repeated Roots of Characteristic Equation [YOUTUBE 8:41] Exact Solution of 2nd order ODE: Complex Roots of Characteristic Equation [YOUTUBE 9:34]
VECTORS Cross Product of Vectors [YOUTUBE 5:34]
What is the definition of the dot product of two vectors? [YOUTUBE 2:00] Angle between Vectors [YOUTUBE 4:25]
COMPLEX NUMBERS Simplifying Complex Number [BLOG]
DISCRETE MATH Coming Soon
LINEAR Algebra Diagonal and Identity Matrices [YOUTUBE 5:21] Upper and Lower Triangular Matrices [YOUTUBE 5:21]
Numerical Methods Derivation of Newton-Raphson Method [YOUTUBE 8:24] Example for Newton-Raphson Method [YOUTUBE 10:06] Euler's Method of Solving ODEs: Derivation [YOUTUBE 9:53] Euler's Method of Solving ODEs: Example [YOUTUBE 10:57] Euler's Method Example [BLOG] Trapezoidal Rule Derivation [YOUTUBE 10:51] Trapezoidal Rule: Example [YOUTUBE 7:18] Trapezoidal Rule Multiple Segment Rule: Derivation [YOUTUBE 7:48] Trapezoidal Rule Multiple Segment Rule: Example: Part 1 of 2 [YOUTUBE 8:17] Trapezoidal Rule Multiple Segment Rule: Example: Part 2 of 2 [YOUTUBE 3:41]
MATRIX OPERATIONS Adding Two Matrices [YOUTUBE 4:53] Subtracting Two Matrices [YOUTUBE 5:34] Multiplying Two Matrices [YOUTUBE 10:06] Inverse of a Matrix [YOUTUBE 4:53] Setting up Equations in a Matrix Form [YOUTUBE 7:07] Determinant of a matrix using minors Theory [YOUTUBE 4:41] Determinant of a matrix using cofactors Theory [YOUTUBE 3:26]
Determinant of a matrix using minors Example [YOUTUBE 6:26] Theorems on determinants Part 2 of 4 [YOUTUBE 3:35] Theorems on determinants Part 3 of 4 [YOUTUBE 3:21] Theorems on determinants Part 4 of 4 [YOUTUBE 2:42]
Can we divide two matrices? [YOUTUBE 5:39] Inverse of matrices Example [YOUTUBE 3:40] Using concept of inverse to solve a set of equations [YOUTUBE 2:27] Finding the inverse of a matrix Theory [YOUTUBE 4:32]
Finding the inverse of a matrix Example [YOUTUBE 7:03] Finding the inverse of a matrix by adjoints Example [YOUTUBE 7:19] Determinant of a Matrix Using Forward Elimination Method: Background [YOUTUBE 5:17] Determinant of a Matrix Using Forward Elimination Method: Example [YOUTUBE 10:07] More Matrix Algebra [LINK]
Problem Set with Final Answers The FE Question of the Day website is at http://fe.eng.usf.edu The book FE Practice Test with Complete Solutions is now available. See preview |
