Mathematics
Elementary Arithmetic and Algebra
For the discussion of the elementary operations of addition, multiplication, subtraction, and division, as well as solving problems involving linear and polynomial equations.
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- 2
Elementary Geometry
Discussions about problems involving classical Euclidean geometry, as well as elementary spherical geometry and trigonometry.
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- 1
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Precalculus
This topic generally includes preparatory concepts for learning calculus, such as the concept of a function, the coordinate plane, graphs of functions, and an introduction to the elementary functions.
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- 2
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- 4
Single Variable Calculus
For topics involving limits, derivatives, integrals, sequences, and infinite series, involving only a single real variable.
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None
Linear Algebra
For topics involving linear equations, functions, and structures, including the central structure of vector spaces.
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None
Multivariable Calculus
For topics involving the calculus of functions of more than one real variable.
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- 1
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- 2
Complex Analysis
For topics involving the calculus of functions of one or more complex variables.
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None
Ordinary Differential Equations
For topics involving the solutions of equations involving ordinary derivatives of one or more unknown functions.
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None
Partial Differential Equations
For topics involving the solution of equations involving partial derivatives of one or more unknown functions.
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None
Physics
Classical Mechanics
Newtonian physics that does not involve the special or general theories of relativity, nor quantum mechanics, quantum field theory, or other post-quantum mechanics theories. This includes Newtonian mechanics, as well as the Lagrangian and Hamiltonian reformulations of Newtonian mechanics.
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