UniMelb UGHB96 : 618-142 Intermediate Mathematics B

Handbook 1996 : Faculty of Science (Volume 4 page 208) Mathematics subject : Next:618-151 | Prev:618-141 | Search | Help

618-142 "Intermediate Mathematics B" appears differently in several places - choose the one you want:


618-142 Mathematics, Faculty of Science.
618-142 Geomatics, Faculty of Engineering.
618-142 Math. & Stats., Faculty of Educ(Parkville).
618-142 First Year Engineering, Faculty of Engineering.

1. Mathematics, Faculty of Science (v4, p208) : Next:618-151 | Prev:618-141
2. Geomatics, Faculty of Engineering (v4, p123) : Next:618-200 | Prev:618-141
4. First Year Engineering, Faculty of Engineering (v4, p85) : Next:618-171 | Prev:618-141

618-142 Intermediate Mathematics B

Note: Credit cannot be obtained for both 618-142 and any of 618-101 (1995 Handbook), 618-111 or 618-121, nor for both 618-142 and any of 618-141, 618-161 or 618-162 if 618-142 has already been passed.

Credit points: 12.5

Coordinator: Prof A J Guttmann

Prerequisite: 618-100 (1995 Handbook), or 618-141, or both of 618-161, 618-162, or satisfactory performance on the Exemption Test.

Contact: 39 lectures (three a week), 13 x 1-hour tutorials and 39 hours problem solving

Timetable: Offered in both semesters

Objectives:

On completion of this subject, students should:
Comprehend:

some of the nature of the different types of numbers they use;
the intuitive notion of limits as used in continuity, differentiation and integration;
the notion of integral as area;
the extension of the notion of vectors in two or three dimensions to any finite number of dimensions.

Have developed:

an ability to manipulate complex numbers and to use them to solve problems;
an ability to use differential calculus to solve extremal problems;
an ability to compute a wide range of integrals;
an ability to use integration to compute area, length and volume;
an ability to determine the linear dependence or independence of sets of vectors, and to recognize where this is significant.

Appreciate:

the role of proof and logical reasoning in mathematics;
the use of complex numbers; the role of limits in both the differential and integral calculus;
the practical uses of calculus; the importance of the general concept of a vector.

Content:

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; Taylor polynomials; 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. Vector spaces: the space Rⁿ; linear dependence; spanning sets; bases and coordinates, applications.

Assessment:

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.

3. Math. & Stats., Faculty of Educ(Parkville) (v5, p145) : Next:618-161 | Prev:618-141

618-142 Intermediate Mathematics B

Credit points: 12.5

Coordinator: Prof A J Guttmann.

Prerequisite: 618-100 (1995 Handbook), or 618-141, or both of 618-161, 618-162, or satisfactory performance on the Exemption Test.

Contact: 39 lectures (three each week), 13 1-hour tutorials and 39 hours problem solving

Timetable: First or second semester.

Objectives:

On completion of this subject, students should:
Comprehend:

some of the nature of the different types of numbers they use;
the intuitive notion of limits as used in continuity, differentiation and integration;
the notion of integral as area;
the extension of the notion of vectors in two or three dimensions to any finite number of dimensions.

Have developed:

an ability to manipulate complex numbers and to use them to solve problems;
an ability to use differential calculus to solve extremal problems;
an ability to compute a wide range of integrals;
an ability to use integration to compute area, length and volume;
an ability to determine the linear dependence or independence of sets of vectors, and to recognize where this is significant.

Appreciate:

the role of proof and logical reasoning in mathematics;
the use of complex numbers; the role of limits in both the differential and integral calculus;
the practical uses of calculus; the importance of the general concept of a vector.

Content:

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; Taylor polynomials; 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. Vector spaces The space Rⁿ; linear dependence; spanning sets; bases and coordinates, applications.

Assessment:

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.

* Note that CONTACT, CONTENT, SEMESTER differs from the maintainer's version above. A log of variations is available.

3. Math. & Stats., Faculty of Educ(Parkville) (v5, p145) : Next:618-161 | Prev:618-141

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Status:          Official 1996
Date created:    Oct  9 1995
Last modified:   Oct  9 1995
Authorised by:   Academic Registrar
Email enquiries: Course_Information@registrar.unimelb.edu.au

Maintained by:   Dept. of Mathematics, Faculty of Science.