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4434Mathematical Visualization Toolkit
http://www.merlot.org/merlot/viewMaterial.htm?id=89767
This site consists of a collection of plotting and solving applets featuring a uniform user interface. This site was selected as the 2005 MERLOT Classics Award winner for the Mathematics discipline due to its value and effectiveness as a set of teaching/learning tools. Visualizing mathematical concepts, especially in three-dimensional space, can be quite difficult for students. These tools and applications enable students to see the concepts in action and to come a deeper understanding of the underlying mathematics. In addition, the collaboration between the faculty, students and Sun Microsystems staff who together designed and constructed these tools was quite unusual and impressive. The collaboration itself is an inspiring model.Animations (for freshman and sophomore calculus and differential equations)
http://www.merlot.org/merlot/viewMaterial.htm?id=82071
This is a collection of animations which I found to be helpful demonstrations in freshmand and sophomore calculus and differential equations classes. For most animations, MathCAD code is available.How the ball bounces
http://www.merlot.org/merlot/viewMaterial.htm?id=77011
An animation portraying the mathematics of a bouncing ballThe Math Forum - Internet Mathematics Library
http://www.merlot.org/merlot/viewMaterial.htm?id=89910
A huge list of resources in various topics of mathematics and math education.Khan Academy (Math Portion)
http://www.merlot.org/merlot/viewMaterial.htm?id=371570
Thousands of FREE, short, online videos that are focused on explaining and modeling the learning of specific topics in math (basic arithmetic and math to calculus), statistics, biology, physics, chemistry, finance, and other topics. The topics cover K-12 levels and higher education. The simple and clear presented information enables learners to see and review the topics and how to solve the problems at their pace with as much practice as they wish. In particular there are over a thousand videos just for mathematics. The site also contains a handful of interactive mathematics learning objects that are of the drill and practice type.Calculus Tutorials and Problems
http://www.merlot.org/merlot/viewMaterial.htm?id=322660
This subsite of Mathematics Tutorials and Problems (with applets) is divided into Interactive Tutorials, Calculus Problems, and Calculus Questions, Answers and Solutions. Here the user will find applets with guided exercises and many examples and worked out problems applicable to the first year of Calculus.Population Modeling Applet
http://www.merlot.org/merlot/viewMaterial.htm?id=314085
In this applet, the user applies Euler's Method to modeling population growth using the Malthus exponential model and the Verhulst constrained growth model. After finding the Euler solution, the user can check the solution with the Adaptive Euler Approximation or with a slope field. Also, the user can enter an exact solution obtained from separating variables (or whatever) and again check the Euler solution graphically.Connected Curriculum Project - Materials for Precalculus
http://www.merlot.org/merlot/viewMaterial.htm?id=84777
The CCP includes modules that combine the flexibility and connectivity of the Web with the power of computer algebra systems such as Maple, Mathematica, MatLab and MathCad. The single-topic units can be used for a two-hour lab, or for a shorter supervised period with follow-up on the student's own time, or for self-study. Modules are organized into areas of precalculus, differential calculus, integral calculus, multivariable calculus, linear algebra, differential equations and engineering mathematics. Applications include those in biology, chemistry, physics, engineering, economics and environmental science.Differential Equations
http://www.merlot.org/merlot/viewMaterial.htm?id=556384
״Here are my online notes for my differential equations course that I teach here at Lamar University. Despite the fact that these are my “class notes”, they should be accessible to anyone wanting to learn how to solve differential equations or needing a refresher on differential equations.I’ve tried to make these notes as self contained as possible and so all the information needed to read through them is either from a Calculus or Algebra class or contained in other sections of the notes.״ Differential Equations Videos
http://www.merlot.org/merlot/viewMaterial.htm?id=349776
This is a complete set of videos for my on-line differential equations class. All standard topics are addressed: modeling, first order equations, constant coefficient linear equations, Euler and Runge Kutta methods, Laplace transforms, partial differential equations, series solutions and first order systems.