Go Back to 618-252 (Mathematics, Faculty of Science, v4, p211)
NOTE: These differences were detected by computer program - they may or may not be substantive.
Different ASSESSMENT
Source=[Up to 26 pages of written assignments and up to three hours of end-of-semester written examination.
<p><b>Note. </b>Credit cannot be gained for both 618-202 and 618-252.</p>]
Xref = [Up to 26 pages of written assignments and up to three hours of end-of-semester written examination.]
Different CONTACT
Source=[39 lectures (three a week).]
Xref = [39 lectures (three each week)]
Different CONTENT
Source=[Sequences and Series: standard sequences and series, Cauchy convergence, ratio and n-th root tests, absolute and conditional convergence, re-arrangements, power series. Continuity: continuity and differentiability of functions of several real variables. Functions of a complex variable: elementary functions of a complex variable, branches; differentiation, analytic functions, Cauchy-Riemann equations. Integration:line and contour integrals, Cauchy's integral theorem; Laurent series; singularities, poles, Liouville's theorem; residue theorem, limiting contours, evaluation of integrals using contour integration.]
Xref = [<i>Sequences and Series</i> Standard sequences and series, Cauchy convergence, ratio and n-th root tests, absolute and conditional convergence, re-arrangements, power series. <i>Continuity</i> Continuity and differentiability of functions of several real variables. <i>Functions of a complex variable</i> Elementary functions of a complex variable, branches; differentiation, analytic functions, Cauchy-Riemann equations. <i>Integration</i> Line and contour integrals, Cauchy's integral theorem; Laurent series; singularities, poles, Liouville's theorem; residue theorem, limiting contours, evaluation of integrals using contour integration.]
Different NOTE
Source=[]
Xref = [Credit cannot be gained for both 618-202 and 618-252.]
Different OBJECTIVES
Source=[On completion of this subject, students should:
<p><i>Comprehend:</i></p>
<ul>
<li>the concept of convergence of sequences and series; elementary topology of the real line;
<li>the fundamentals of continuity, differentiability of functions of several real variables;
<li>the concepts of an analytic function of a complex variable; complex derivative; power and Laurent series in complex variables;
<li>basic topological concepts in the complex plane;
<li>Cauchy's theorem and its applications;
</ul>
<p><i>Have developed:</i></p>
<ul>
<li>skills in determining the convergence or otherwise of sequences and series;
<li>skills in differentiating functions of a complex variable;
<li>skills in calculating contour integrals;
<li>the ability to work with analytic functions in the cut plane;
<li>the ability to apply Cauchy's integral formula and the residue theorem;
</ul>
<p><i>Appreciate:</i></p>
<ul>
<li>differences between functions of a real and a complex variable;
<li>the role of complex analytic methods in solving important problems in science and engineering.
</ul>]
Xref = [On completion of this subject, students should:
<p><i>Comprehend:</i></p>
<ul>
<li>the concept of convergence of sequences and series; elementary topology of the real line;
<li>the fundamentals of continuity, differentiability of functions of several real variables;
<li>the concepts of an analytic function of a complex variable; complex derivative; power and Laurent series in complex variables;
<li>basic topological concepts in the complex plane;
<li>Cauchy's theorem and its applications;
<li><i>Have developed:</i>
<li>skills in determining the convergence or otherwise of sequences and series;
<li>skills in differentiating functions of a complex variable;
<li>skills in calculating contour integrals;
<li>the ability to work with analytic functions in the cut plane;
<li>the ability to apply Cauchy's integral formula and the residue theorem;
</ul>
<p><i>Appreciate:</i></p>
<ul>
<li>differences between functions of a real and a complex variable;
<li>the role of complex analytic methods in solving important problems in science and engineering.
</ul>]
Mon Oct 9 16:30:34 1995
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