Go Back to 618-121 (Mathematics, Faculty of Science, v4, p206)
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 a week), 13 1-hour tutorials and 39 hours problem solving]
Different CONTENT
Source=[Foundations: sets, integers, mathematical induction; real numbers; complex numbers, polar form, de Moivre's theorem, complex exponential. Calculus: functions of one real variable (including limits and continuity), derivatives; curve sketching; maxima and minima, curvature; antiderivatives and the definite integral; trigonometric functions and their inverses, logarithm, exponential function, hyperbolic functions and their inverses; systematic integration; approximate integration; applications of integration, areas, arc length, surface areas and volumes of solids of revolution. Vectors and linear equations: vectors in three-dimensional space, dot and cross products, triple products, determinants; linear dependence; equations of lines and planes, geometrical applications; bases and coordinates, dimension; row-reduction, rank, inverse, solution of linear equations, geometrical interpretation.]
Xref = [<i>Foundations</i> Sets, integers, mathematical induction; real numbers; complex numbers, polar form, de Moivre's theorem, complex exponential. <i>Calculus</i> Functions of one real variable (including limits and continuity), derivatives; curve sketching; maxima and minima, curvature; antiderivatives and the definite integral; trigonometric functions and their inverses, logarithm, exponential function, hyperbolic functions and their inverses; systematic integration; approximate integration; applications of integration, areas, arc length, surface areas and volumes of solids of revolution. <i>Vectors and linear equations</i> Vectors in three-
dimensional space, dot and cross products, triple products, determinants; linear dependence; equations of lines and planes, geometrical applications; bases and coordinates, dimension; row-
reduction, rank, inverse, solution of linear equations, geometrical interpretation.</p>]
Different SEMESTER
Source=[Semester 1]
Xref = [First semester.]
Differences in Mathematical Sciences, Faculty of Eco & Comm (v3, p208)
Different ASSESSMENT
Source=[Up to 26 pages of written assignments, up to three hours of end-of-semester written examination and class tests totalling not more than 1.5 hours.]
Xref = [Up to 26 pages of written assignments, up to three hours of end-of-semester written exam-ination and class tests totalling not more than 1.5 hours.]
Different CONTENT
Source=[Foundations: sets, integers, mathematical induction; real numbers; complex numbers, polar form, de Moivre's theorem, complex exponential. Calculus: functions of one real variable (including limits and continuity), derivatives; curve sketching; maxima and minima, curvature; antiderivatives and the definite integral; trigonometric functions and their inverses, logarithm, exponential function, hyperbolic functions and their inverses; systematic integration; approximate integration; applications of integration, areas, arc length, surface areas and volumes of solids of revolution. Vectors and linear equations: vectors in three-dimensional space, dot and cross products, triple products, determinants; linear dependence; equations of lines and planes, geometrical applications; bases and coordinates, dimension; row-reduction, rank, inverse, solution of linear equations, geometrical interpretation.]
Xref = [Foundations Sets, integers, mathematical induction; real numbers; complex numbers, polar form, de Moivre's theorem, complex exponential. Calculus Functions of one real variable (including limits and continuity), derivatives; curve sketching; maxima and minima, curvature; antiderivatives and the definite integral; trigonometric functions and their inverses, logarithm, exponential function, hyperbolic functions and their inverses; systematic integration; approximate integration; applications of integration, areas, arc length, surface areas and volumes of solids of revolution. Vectors and linear equations Vectors in threedimensional space, dot and cross products, triple products, determinants; linear dependence; equations of lines and planes, geometrical applications; bases and coordinates, dimension; rowreduction, rank, inverse, solution of linear equations, geometrical interpretation.]
Different OBJECTIVES
Source=[On completion of this subject, students should:
<p><i>Comprehend:</i></p>
<ul>
<li>some of the nature of the different types of numbers they use;
<li>the intuitive notion of limits as used in continuity, differentiation and integration;
<li>the notion of integral as area;
<li>the extension of the notion of vectors in two or three dimensions to any finite number of dimensions;
<li>the theoretical treatment of systems of simultaneous linear equations.
</ul>
<p><i>Have developed:</i></p>
<ul>
<li>an ability to manipulate complex numbers and to use them to solve problems;
<li>an ability to use differential calculus to solve extremal problems;
<li>an ability to compute a wide range of integrals;
<li>an ability to use integration to compute area, length and volume;
<li>an ability to solve arbitrary systems of simultaneous linear equations.
</ul>
<p><i>Appreciate:</i></p>
<ul>
<li>the role of proof and logical reasoning in mathematics;
<li>the use of complex numbers; the role of limits in both the differential and integral calculus;
<li>the practical uses of calculus; the use of the ideas of linear algebra in dealing with the solution of simultaneous linear equations.
</ul>]
Xref = [On completion of this subject, students should:
<p>Comprehend:</p>
<ul>
<li>some of the nature of the different types of numbers they use;
<li>the intuitive notion of limits as used in continuity, differentiation and integration;
<li>the notion of integral as area;
<li>the extension of the notion of vectors in two or three dimensions to any finite number of dimensions;
<li>the theoretical treatment of systems of simultaneous linear equations.
</ul>
<p>Have developed:</p>
<ul>
<li>an ability to manipulate complex numbers and to use them to solve problems;
<li>an ability to use differential calculus to solve extremal problems;
<li>an ability to compute a wide range of integrals;
<li>an ability to use integration to compute area, length and volume;
<li>an ability to solve arbitrary systems of simultaneous linear equations.
</ul>
<p>Appreciate:</p>
<ul>
<li>the role of proof and logical reasoning in mathematics;
<li>the use of complex numbers; the role of limits in both the differential and integral calculus;
<li>the practical uses of calculus; the use of the ideas of linear algebra in dealing with the solution of simultaneous linear equations.
</ul>]
Mon Oct 9 16:30:34 1995
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