MATH 225 - Linear Algebra II

3 units (fi 6)(EITHER, 3-0-0)

Vector spaces. Inner product spaces. Examples of n-space and the space of continuous functions. Gram-Schmidt process, QR factorization of a matrix and least squares. Linear transformations, change of basis, similarity and diagonalization. Orthogonal diagonalization, quadratic forms. Applications in a variety of fields. Prerequisites: One of MATH 100, 113, 114, 117, 134, 144, 154 or SCI 100, and one of MATH 102, 125 or 127. Note: Credit can be obtained in at most one of MATH 225 or 227.

MATH 154 - Calculus for Business and Economics I

3 units (fi 6)(EITHER, 3-0-0)

The derivative as a rate of change. Differentiation of elementary, trigonometric, exponential, and logarithmic functions. The definite integral as a summation. Integration. The Fundamental Theorem of Calculus. Optimization. Applications in the context of business and economics. Prerequisite: Mathematics 30-1. Note: Credit can be obtained in at most one of MATH 100, 113, 114, 117, 134, 144, 154 or SCI 100.

MATH 156 - Calculus for Business and Economics II

3 units (fi 6)(EITHER, 3-0-0)

Techniques and applications of integration. Improper integrals. Partial differentiation. Multivariate optimization. Probability and calculus. Applications in the context of business and economics. Prerequisite: One of MATH 100, 113, 114, 117, 134, 144 or 154. Note: Credit can be obtained in at most one of MATH 101, 115, 118, 136, 146, 156 or SCI 100.

MATH 253 - Theory of Interest

3 units (fi 6)(EITHER, 3-0-0)

Accumulation and amount functions, effective, nominal, simple, and compound rates, force of interest and discount, simple and general annuities certain, variable annuities and perpetuities, amortization schedules and sinking funds, bonds and other securities, applications, installment loans, depreciation, depletion, capitalized cost. Prerequisite: One of MATH 101, 115, 118, 136, 146, 156 or SCI 100. Corequisite: MATH 209 or 214.

STAT 151 - Introduction to Applied Statistics I

3 units (fi 6)(EITHER, 3-0-0)

Data collection and presentation, descriptive statistics. Probability distributions, sampling distributions and the central limit theorem. Point estimation, confidence intervals and hypothesis testing. Correlation and regression analysis. ANOVA. Goodness of fit and contingency table. Prerequisite: Mathematics 30-1 or 30-2. Notes: (1) Credit can be obtained in at most one of STAT 151, STAT 161, and STAT 235. (2) This course may not be taken for credit if credit has been obtained in STAT 222, STAT 266, STAT 276, KIN 109, PEDS 109, PSYCH 211, PTHER 352, SCI 151 or SOC 210.