Go Back to 618-122 (Mathematics, Faculty of Science, v4, p207)
NOTE: These differences were detected by computer program - they may or may not be substantive.
Different CONTACT
Source=[39 lectures (three a week), 13 x 1-hour tutorials and 39 hours problem solving]
Xref = [39 lectures (three each week), 13 1-hour tutorials and 39 hours problem solving]
Different CONTENT
Source=[Sequences and series: convergence and divergence of sequences and series; tests for convergence; Taylor's theorem and series representation of elementary functions. Linear algebra: vector spaces in general, axioms, linear independence, basis sets, dimensionality, R<sup>n</sup> and C<sup>n</sup>; inner products; linear transformations, matrix of a linear transformation, change of basis, rank, inverse, solution of linear equations; eigenvectors and eigenvalues, quadrics and conics, rotation matrices, diagonal, real-symmetric and orthogonal matrices. Multivariable calculus: functions of several variables, level curves, heights; partial derivatives, commutation of mixed partial derivatives; total derivative, gradient vector, directional derivatives and applications; chain rule; coordinate transformations, Jacobi matrix and determinant; Hessian matrix, maxima and minima of functions of several variables; surface areas and volumes of solids of revolution; introduction to double and triple integrals.]
Xref = [<i>Sequences and series</i> Convergence and divergence of sequences and series; tests for convergence; Taylor's theorem and series representation of elementary functions. <i>Linear algebra</i> Vector spaces in general, axioms, linear independence, basis sets, dimensionality, R<sup>n</sup> and C<sup>n</sup>; inner products; linear transformations, matrix of a linear transformation, change of basis, rank, inverse, solution of linear equations; eigenvectors and eigenvalues, quadrics and conics, rotation matrices, diagonal, real-
symmetric and orthogonal matrices. <i>Multivariable calculus</i> Functions of several variables, level curves, heights; partial derivatives, commutation of mixed partial derivatives; total derivative, gradient vector, directional derivatives and applications; chain rule; coordinate transformations, Jacobi matrix and determinant; Hessian matrix, maxima and minima of functions of several variables; surface areas and volumes of solids of revolution; introduction to double and triple integrals.</p>]
Differences in Mathematical Sciences, Faculty of Eco & Comm (v3, p208)
Different AVAILABILITY
Source=[]
Xref = [Available in first semester of the following year as 618-200]
Different CONTENT
Source=[Sequences and series: convergence and divergence of sequences and series; tests for convergence; Taylor's theorem and series representation of elementary functions. Linear algebra: vector spaces in general, axioms, linear independence, basis sets, dimensionality, R<sup>n</sup> and C<sup>n</sup>; inner products; linear transformations, matrix of a linear transformation, change of basis, rank, inverse, solution of linear equations; eigenvectors and eigenvalues, quadrics and conics, rotation matrices, diagonal, real-symmetric and orthogonal matrices. Multivariable calculus: functions of several variables, level curves, heights; partial derivatives, commutation of mixed partial derivatives; total derivative, gradient vector, directional derivatives and applications; chain rule; coordinate transformations, Jacobi matrix and determinant; Hessian matrix, maxima and minima of functions of several variables; surface areas and volumes of solids of revolution; introduction to double and triple integrals.]
Xref = [Sequences and series Convergence and divergence of sequences and series; tests for convergence; Taylor's theorem and series representation of elementary functions. Linear algebra Vector spaces in general, axioms, linear independence, basis sets, dimensionality, Rn and Cn; inner products; linear transformations, matrix of a linear transformation, change of basis, rank, inverse, solution of linear equations; eigenvectors and eigenvalues, quadrics and conics, rotation matrices, diagonal, realsymmetric and orthogonal matrices. Multivariable calculus Functions of several variables, level curves, heights; partial derivatives, commutation of mixed partial derivatives; total derivative, gradient vector, directional derivatives and applications; chain rule; coordinate transformations, Jacobi matrix and determinant; Hessian matrix, maxima and minima of functions of several variables; surface areas and volumes of solids of revolution; introduction to double and triple integrals.]
Different OBJECTIVES
Source=[On completion of this subject, students should :
<p><i>Comprehend:</i></p>
<ul>
<li>the basic properties of sequences and series, including Taylor series for functions;
<li>the concepts of abstract vector spaces and inner product spaces;
<li>the uses and properties of linear transformations;
<li>the role of eigenvalues and eigenvectors in the study of such mappings;
<li>the fundamental ideas in the calculus of functions of several variables.
</ul>
<p><i>Have developed:</i></p>
<ul>
<li>an ability to use tests to decide if sequences and series converge or diverge;
<li>the skills to find coordinates and matrices to represent vectors and linear transformations;
<li>the ability to change coordinate systems to simplify problems involving vector spaces and linear transformations;
<li>the skills to solve problems involving contours of surfaces;
<li>skills to find extrema of functions and to find volumes using differentiation and integration.
</ul>
<p><i>Appreciate:</i></p>
<ul>
<li>the role of series in estimation of functions;
<li>the role of linear algebra to find invariants and bring out the underlying geometry in problems;
<li>the similarities and differences between functions of one variable and multivariate functions.
</ul>]
Xref = [On completion of this subject, students should :
<p>Comprehend:</p>
<ul>
<li>the basic properties of sequences and series, including Taylor series for functions;
<li>the concepts of abstract vector spaces and inner product spaces;
<li>the uses and properties of linear transformations;
<li>the role of eigenvalues and eigenvectors in the study of such mappings;
<li>the fundamental ideas in the calculus of functions of several variables.
</ul>
<p>Have developed:</p>
<ul>
<li>an ability to use tests to decide if sequences and series converge or diverge;
<li>the skills to find coordinates and matrices to represent vectors and linear transformations;
<li>the ability to change coordinate systems to simplify problems involving vector spaces and linear transformations;
<li>the skills to solve problems involving contours of surfaces;
<li>skills to find extrema of functions and to find volumes using differentiation and integration.
</ul>
<p>Appreciate:</p>
<ul>
<li>the role of series in estimation of functions;
<li>the role of linear algebra to find invariants and bring out the underlying geometry in problems;
<li>the similarities and differences between functions of one variable and multivariate functions.
</ul>]
Different SEMESTER
Source=[Second semester; available in first semester of the following year as 618-200]
Xref = [Second semester]
Mon Oct 9 16:30:34 1995
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