MATHEMATICS FOR ECONOMICS 12.5 Prof C J Thompson First semester 39 lectures (three a week), 13 x 1-hour tutorials and 39 hours problem solving 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.
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. Up to 26 pages of written assignments and up to three hours of end-of-semester written examination. 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. MATHEMATICS FOR ECONOMICS 12.5 Prof C J Thompson First semester 39 lectures (three a week), 13 x 1-hour tutorials and 39 hours problem solving 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.
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. Up to 26 pages of written assignments and up to three hours of end-of-semester written examination. 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.