Handbook 1996 : Faculty of Science (Volume 4 page 208)
Mathematics subject : Next:618-161 | Prev:618-142 | Search | Help
618-151 "Mathematics for Economics" appears differently in several places - choose the one you want:
1. Mathematics, Faculty of Science (v4, p208) : Next:618-161 | Prev:618-142
Note: Students may not gain credit for both Mathematics 618-151 and 618-100 (1995 Handbook) or 141 or 162; furthermore, credit cannot be obtained for 618-151 if any of 618-101 (1995 Handbook), 111, 112, 211, 121, 122, 200 or 211 has already been passed. Students who desire a more extensive introduction to tertiary mathematics should consider taking the sequential subject 618-142.
Credit points: 12.5
Coordinator: Prof C J Thompson
Contact: 39 lectures (three a week), 13 x 1-hour tutorials and 39 hours problem solving
Timetable: First semester
Objectives:
On completion of this subject, students should:Comprehend:
- the basic properties and representation of vectors;
- fundamental concepts in linear algebra, particularly those associated with solution of linear equations;
- fundamental aspects of calculus of one and two variables.
Have developed:
- skills in manipulating vectors;
- skills in systematically solving systems of linear equations;
- skills in differentiating and integrating the basic functions of calculus.
Appreciate:
- the relationship between various branches of mathematics;
- the application of mathematics to solving problems in economics and the social sciences;
- the interpretation of economic phenomena in mathematical terms.
Content:
Vectors and matrices: introduction to vectors: scalar, vector, triple products, equations of lines, planes; elementary properties of matrices and determinants; row operations on matrices; solution of linear equations, matrix inverse. Calculus and its applications: functions and their inverses, differentiation, linear approximation, marginalism, elasticity; maxima and minima, concavity; integration, area, consumer and producer surplus, approximate integration; introduction to differential equations; Taylor polynomials; functions of several variables, level curves, chain rules, Lagrange multipliers, Jacobi and Hessian matrices.
Assessment:
Up to 26 pages of written assignments and up to three hours of end-of-semester written examination.
1. Mathematics, Faculty of Science (v4, p208) : Next:618-161 | Prev:618-142
2. Mathematical Sciences, Faculty of Eco & Comm (v3, p208) : Prev:618-122
Note: Students may not gain credit for both Mathematics 618-151 and 618-100 (1995 Handbook) or 141 or 162; furthermore, credit cannot be obtained for 618-151 if any of 618-101 (1995 Handbook), 111, 112, 211, 121, 122, 200 or 211 has already been passed. Students who desire a more extensive introduction to tertiary mathematics should consider taking the sequential subject 618-142.
Credit points: 12.5
Coordinator: Prof C J Thompson
Contact: 39 lectures (three a week), 13 x 1-hour tutorials and 39 hours problem solving
Timetable: First semester
Objectives:
On completion of this subject, students should:Comprehend:
- the basic properties and representation of vectors;
- fundamental concepts in linear algebra, particularly those associated with solution of linear equations;
- fundamental aspects of calculus of one and two variables.
Have developed:
- skills in manipulating vectors;
- skills in systematically solving systems of linear equations;
- skills in differentiating and integrating the basic functions of calculus.
Appreciate:
- the relationship between various branches of mathematics;
- the application of mathematics to solving problems in economics and the social sciences;
- the interpretation of economic phenomena in mathematical terms.
Content:
Vectors and matrices Introduction to vectors: scalar, vector, triple products, equations of lines, planes; elementary properties of matrices and determinants; row operations on matrices; solution of linear equations, matrix inverse. Calculus and its applications Functions and their inverses, differentiation, linear approximation, marginalism, elasticity; maxima and minima, concavity; integration, area, consumer and producer surplus, approximate integration; introduction to differential equations; Taylor polynomials; functions of several variables, level curves, chain rules, Lagrange multipliers, Jacobi and Hessian matrices.
Assessment:
Up to 26 pages of written assignments and up to three hours of end-of-semester written examination.
* Note that CONTENT, OBJECTIVES differs from the maintainer's version above. A log of variations is available.
2. Mathematical Sciences, Faculty of Eco & Comm (v3, p208) : Prev:618-122
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.