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First order linear differential equation
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multiplication of matrices
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determinant of matrices
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conditions on a system of simultaneous equations
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partial differentiation
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convergence of a sequence
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convergence of a series
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limits using l'Hopital's rule
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dot product of vectors
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exponential form of complex numbers
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complex numbers
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Laplace transform
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first order differential equation
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inverse Laplace transforms
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odd and even functions
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Fourier series
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simple probability calculation
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permutations
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pdf and mean
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multiplication and inverses of matrices
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second order differential equation
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second order differential equation
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vectors in 3D
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cross product of vectors
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integration of a vector
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matrix multiplication
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first and second order differential equations
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eigenvalues and eigenvectors of a matrix
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vector equations of lines and planes, and distance between them
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matrices, Gaussian elimination
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eigenvalues and eigenvectors of a matrix, and complex number algebra and geometry
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Laplace transforms and solving differential equations using them
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partial differentiation and Maclaurin's theorem
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Fourier series
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simple probability
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differentiation of vectors
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First order linear differential equation (LaTeX) | multiplication of matrices (LaTeX) | determinant of matrices (LaTeX) | conditions on a system of simultaneous equations (LaTeX) | partial differentiation (LaTeX) |
convergence of a sequence (LaTeX) | convergence of a series (LaTeX) | limits using l'Hopital's rule (LaTeX) | dot product of vectors (LaTeX) | exponential form of complex numbers (LaTeX) |
complex numbers (LaTeX) | Laplace transform (LaTeX) | first order differential equation (LaTeX) | inverse Laplace transforms (LaTeX) | odd and even functions (LaTeX) |
Fourier series (LaTeX) | simple probability calculation (LaTeX) | permutations (LaTeX) | pdf and mean (LaTeX) | multiplication and inverses of matrices (LaTeX) |
second order differential equation (LaTeX) | second order differential equation (LaTeX) | vectors in 3D (LaTeX) | cross product of vectors (LaTeX) | integration of a vector (LaTeX) |
matrix multiplication (LaTeX) | first and second order differential equations (LaTeX) | eigenvalues and eigenvectors of a matrix (LaTeX) | vector equations of lines and planes, and distance between them (LaTeX) | matrices, Gaussian elimination (LaTeX) |
eigenvalues and eigenvectors of a matrix, and complex number algebra and geometry (LaTeX) | Laplace transforms and solving differential equations using them (LaTeX) | partial differentiation and Maclaurin's theorem (LaTeX) | Fourier series (LaTeX) | simple probability (LaTeX) |
differentiation of vectors (LaTeX) |
MA17xexam01
Exam questions and solutions in LaTex. Diagrams for the questions are all together in the support.zip file, as .eps files
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