TUTORIALS Each student must attend one tutorial per week. Assignments will be given for each tutorial and they must be prepared prior to attendance at the tutorial. Most of the assignments will be divided into two Sections A and B. The problems in Section A are to be prepared for the tutorials; those in Section B are intended for additional practice, and not for discussion, however, if you have difficulties with any of them, then you may seek your tutor’s or lecturer’s assistance.

EXAMINATIONS Midterm: 40% Final: 60% Examination Date: October 11 and 12th, 2013 - 2:00 – 4:00 p.m. on both days (tentative)

TOPICS TO BE COVERED 1. Sets Sets of numbers; real numbers; integers; rational numbers; natural numbers; irrational numbers; Sets and Subsets: set notation; finite and infinite sets; equality of sets; null sets; subsets; proper subsets; comparability of sets; universal sets; power set; disjoint sets; Venn diagrams. Set Operations: Union; intersection; difference; complement, operations on Comparable sets; algebra of sets; cartesian (cross) product of sets.

2. Relations/Functions Relations; domain and range of a relation; relations as sets of ordered pairs; inverse relations. Functions Mappings; domain and range of a function; equality of functions; one-to-one functions; many-to-one functions; constant functions; into functions; onto functions.

3. Sequences and Series Terms of a sequence; terms of a series; the arithmetic series; the geometric series.

4. Limits/Continuity Limit of a function; right and left hand limits. Limit of a series.

5. Differentiation Definition of a derivative; general rules of differentiation; differentiation of algebraic, exponential, logarithmic functions. Higher order derivatives.

6. Application of the Derivative Differentials, Maximum and minimum; curve tracing; marginal analysis

7. Integration Integration as the inverse of differentiation; general rules of integration. (Substitution, parts, partial fractions); the definite integral; areas, by integration. 8. Matrices Square matrix; equal matrices; zero matrix; transpose of a matrix, symmetric matrix, addition of matrices; multiplication of a matrix by a scalar; multiplication of matrices; identity matrix; scalar matrix; diagonal matrix; determinant; minors; co-factors; adjoint; inverse, from the adjoint. 9. Linear Equations Matrix representation of systems of linear equations; solutions to systems of linear equations by use of the inverse, Cramer’s rule.

N.B: A manual will be available for students to purchase at the cost of $55 from the Department of Economics. The course will be taught in conjunction with the manual.