Some Online Learning Resources for Vectors, Calculus, and One Dimensional Motion
All the Khan Academy entries have associated practice. It is not sufficient to simply view the
lectures. To be sure you understand it and to integrate the ideas together, you must do a
substantial amount of practice.
Vectors
The Basics (Khan Academy)
https://www.khanacademy.org/math/precalculus/vectors-precalc
But you really need more (Khan Academy):
https://www.khanacademy.org/test-prep/mcat/physical-processes/vectors-andscalars/v/introduction-to-vectors-and-scalars
https://www.khanacademy.org/math/linear-algebra/vectors-and-spaces/vectors/v/introunit-vector-notation
https://www.khanacademy.org/math/linear-algebra/vectors-and-spaces/dot-crossproducts/v/vector-dot-product-and-vector-length
Calculus
Khan Academy
https://www.khanacademy.org/math/differential-calculus
https://www.khanacademy.org/math/integral-calculus
http://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx
This comprehensive resource has practice problems and solutions.
Calculus and Vectors – Notes, Worksheets (with Solutions) Tests
http://www.la-citadelle.com/courses/calculus/
Focus on Chapters 1,2,3 (for Calculus) and 6,7(for Vectors)
The so-called physical examples are all dimensionally incorrect from the point of
view of the notion we will use in our course. So beware of this as a source for these
concepts and practice.
One Dimensional Motion
Khan Academy
https://www.khanacademy.org/science/physics/one-dimensional-motion
MIT Open Courseware
http://ocw.mit.edu/high-school/physics/exam-prep/kinematics/motion-in-onedimension/
http://www.physicsclassroom.com/Physics-Tutorial/1-D-Kinematics