2009 Fall MATH 102-03R
Bulletin Course Description Gaussian elimination, matrix algebra, determinants, linear independence. Calculus of several variables, chain rule, implicit differentiation. Optimization, first order conditions, Lagrange multipliers. Integration of functions of several variables. Instructor: Staff
(Instructor named in bulletin description above may not be current. For current instructor, see listing below.)
Title MULTIVARIABLE CALCULUS Department MATH Course Number 2009 Fall 102 Section Number 03R Secondary Instructor Gjoneski,Oliver Prerequisites Prerequisite: Mathematics 32, 32L or 41. Not open to students who have taken Mathematics 103.
Synopsis of course content
This course is designed to cover multivariable calculus and related content, from a point of view relevant to students interested in applications to economics. Most examples and applications will be relevant to economics.
All students planning to major in economics are required to take either this course, or Math 103. Other students whose majors do not require Math 103 are also encouraged to take this course. Students who are considering a science major, a math major, or an engineering major should take Math 103 instead of Math 102, even if considering a double major with economics.
Topics will be taken from the chapters covering linear algebra (systems of equations, vectors, lines, planes, matrix algebra, determinants), calculus of several variables (derivatives, the chain rule, gradients, implicit functions), optimization (with no constraints, equality constraints, and inequality constraints), and from course notes on integration (double integrals and triple integrals).
Textbooks
"Mathematics for Economists", by Carl P. Simon and Lawrence Blume; and a set of course notes available for download from the internet.
Assignments
Assignments include daily homework.
Exams
There will be approximately three major exams and a final exam.
Grade to be based on
Each exam will be worth approximately 100 points, the final exam will be worth approximately 200 points, and the homeworks will total to approximately 50 points.
