Handbook 1996 : Faculty of Science (Volume 4 page 208)
Mathematics subject : Next:618-191 | Prev:618-161 | Search | Help
618-162 "Introductory Mathematics B" appears differently in several places - choose the one you want:
1. Mathematics, Faculty of Science (v4, p208) : Next:618-191 | Prev:618-161
Note:
Credit points: 12.5
Coordinator: Dr I R Aitchison
Contact: 39 lectures (three a week), 13 x 1-hour tutorials and 39 hours problem solving
Timetable: Semester 2
Objectives:
On completion of this subject, students should:Comprehend:
- the manipulation of vectors, matrices, and systems of linear equations;
- the concepts of solid geometry;
- the properties of basic functions of calculus.
Have developed:
- the skills required to solve systems of linear equations;
- the skills required to differentiate and integrate the basic functions of calculus;
- the skills to work with functions of two variables;
- the skills to solve simple first order differential equations;
Appreciate:
- the fundamental concepts in linear algebra and calculus necessary for further serious studies in mathematics.
Content:
Vectors and matrices: matrices, row operations, solution of linear equations, inverses; vectors, scalar product, equations of lines and planes. Calculus: functions of one real variable, differentiation and integration, maxima and minima, Taylor series; approximate integration; functions of several variables, contours, partial differentiation. Differential equations: gradient fields, simple first-order; applications; numerical solutions.
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.
1. Mathematics, Faculty of Science (v4, p208) : Next:618-191 | Prev:618-161
2. Math. & Stats., Faculty of Educ(Parkville) (v5, p146) : Next:618-200 | Prev:618-161
Note:
Credit points: 12.5
Coordinator: Dr I R Aitchison.
Contact: 39 lectures (three each week), 13 1-hour tutorials and 39 hours problem solving
Timetable: Second semester.
Objectives:
On completion of this subject, students should:Comprehend:
- the manipulation of vectors, matrices, and systems of linear equations;
- the concepts of solid geometry;
- the properties of basic functions of calculus.
Have developed:
- the skills required to solve systems of linear equations;
- the skills required to differentiate and integrate the basic functions of calculus;
- the skills to work with functions of two variables;
- the skills to solve simple first order differential equations;
Appreciate:
- the fundamental concepts in linear algebra and calculus necessary for further serious studies in mathematics.
Content:
Vectors and matrices Matrices, row operations, solution of linear equations, inverses; vectors, scalar product, equations of lines and planes. Calculus Functions of one real variable, differentiation and integration, maxima and minima, Taylor series; approximate integration; functions of several variables, contours, partial differentiation. Differential equations Gradient fields, simple first order; applications; numerical solutions.
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.
2. Math. & Stats., Faculty of Educ(Parkville) (v5, p146) : Next:618-200 | Prev:618-161
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.
Copyright © University of Melbourne 1995,1996.