Mathematics and Statistics

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Academic Area:
Mathematics
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Australian university students. We pride ourselves in providing personally and
academically engaging programs in each of our carefully chosen overseas locations.
CISaustralia is committed to working closely with partner universities in Australia and
providing students with academic credit towards their degree for any overseas study,
volunteer or intern experience. In 2014, over 97% of CISaustralia participants received
academic credit from their Australian university for their CISaustralia study, volunteer or
intern program.
Please find the following subjects and associated programs related to Mathematics:
(Please note: For exact program dates and subject offerings for programs with multiple
sessions, please visit the specific program web pages.)
July in Boston, MA, USA
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ELEMENTARY STATISTICS - CAS MA 113 – 4 US Credits
Basic concepts of estimation and tests of hypotheses, ideas from probability; one-, two-,
and multiple-sample problems. Applications in social sciences. Primarily for students in
the social sciences who require a one-semester introduction to statistics; others should
consider CAS MA 115 or MA 213.
STATISTICS I - CAS MA 115 – 4 US Credits
Numerical and graphical summaries of univariate and bivariate data. Basic probability,
random variables, binomial distribution, normal distribution. One-sample statistical
inference for normal means and binomial probabilities. Primarily for students in the social
sciences with limited mathematics preparation.
STATISTICS II - CAS MA 116 – 4 US Credits
One- or two-sample inference for normal means and binomial probabilities, analysis of
variance, simple linear regression, multiple regression, analysis of categorical data.
Introduction to survey design and design of experiments. Primarily for students in the
social sciences with limited mathematics preparation.
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COLLEGE ALGEBRA AND TRIGONOMETRY - CAS MA 118 – 4 US Credits
Functions and graphs. Linear and quadratic equations. Exponents; logarithms. Right and
oblique triangles; trigonometric functions. Optimization. Specifically intended to prepare
students with insufficient background in mathematics for the study of calculus.
APPLIED MATHEMATICS FOR SOCIAL AND MANAGEMENT SCIENCES - CAS MA 120 – 4 US
Credits
Topics chosen from linear equations, systems of linear equations, matrix algebra,
exponential functions and logarithms, elements of differential calculus, optimization,
probability. Some sections focus on applications in economics, finance, and management.
CALCULUS FOR THE LIFE AND SOCIAL SCIENCES I - CAS MA 121 – 4 US Credits
Differentiation and integration of functions of one variable. Same topics as CAS MA 123,
but with less emphasis on mathematical generality and more on application. Especially
suitable for students concentrating in the biological and social sciences.
CALCULUS FOR THE LIFE AND SOCIAL SCIENCES II - CAS MA 122 – 4 US Credits
Review of univariate calculus, calculus of the elementary transcendental functions,
elementary differential equations, elementary multivariate calculus. Applications to
exponential growth, optimization, equilibrium, and dynamic modeling problems.
CALCULUS I - CAS MA 123 – 4 US Credits
Limits; derivatives; differentiation of algebraic functions. Applications to maxima, minima,
and convexity of functions. The definite integral; the fundamental theorem of integral
calculus; applications of integration.
CALCULUS II - CAS MA 124 – 4 US Credits
Logarithmic, exponential, and trigonometric functions. Sequences and series; Taylor's
series with the remainder. Methods of integration. Calculus I and II together constitute an
introduction to calculus of a function of a single real variable.
INTRODUCTION TO LINEAR ALGEBRA - CAS MA 142 – 2 US Credits
Systems of linear equations; matrices. Vector spaces and linear transformations.
Determinants. Eigenvalues and eigenvectors. Applications.
BASIC STATISTICS AND PROBABILITY - CAS MA 213 – 4 US Credits
Elementary treatment of probability densities, means, variances, correlation,
independence, the binomial distribution, the central limit theorem. Stresses
understanding and theoretical manipulation of statistical concepts.
APPLIED STATISTICS - CAS MA 214 – 4 US Credits
Inference about proportions, goodness of fit, student's t-distribution, tests for normality;
two-sample comparisons, regression and correlation, tests for linearity and outliers,
residual analysis, contingency tables, analysis of variance.
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MULTIVARIATE CALCULUS - CAS MA 225 – 4 US Credits
Vectors, lines, planes. Multiple integration, cylindrical and spherical coordinates. Partial
derivatives, directional derivatives, scalar and vector fields, the gradient, potentials,
approximation, multivariate minimization, Stokes's and related theorems.
DIFFERENTIAL EQUATIONS - CAS MA 226 – 4 US Credits
First-order linear and separable equations. Second-order equations and first-order
systems. Linear equations and linearization. Numerical and qualitative analysis. Laplace
transforms. Applications and modeling of real phenomena throughout.
LINEAR ALGEBRA - CAS MA 242 – 4 US Credits
Matrix algebra, solution of linear systems, determinants, Gaussian elimination,
fundamental theory, row-echelon form. Vector spaces, bases, norms. Computer methods.
Eigenvalues and eigenvectors, canonical decomposition. Applications.
THE MATHEMATICS OF SUSTAINABILITY - CAS MA 267 – 4 US Credits
The goal is to develop models for sustainability. "Just-in-time" mathematics/statistics
techniques are taught with immediate application, for example: geometry for flight
routes; graph theory for social networks; linear algebra for operations research; fractal
measures for earthquakes and tsunamis.
DISCRETE MATHEMATICS - CAS MA 293 – 4 US Credits
Propositional logic, set theory. Elementary probability theory. Number theory.
Combinatorics with applications.
APPLIED ABSTRACT ALGEBRA - CAS MA 294 – 4US Credits
Abstract algebra and its applications to combinatorics. A first exposure to groups, rings,
and fields via significant combinatorial applications.
INTRODUCTION TO NUMBER THEORY - CAS MA 341 – 4 US Credits
Study of integers and basic results of number theory. Topics include Linear Diophantine
equations, prime numbers and factorization, congruences, and quadratic reciprocity.
ADVANCED CALCULUS - CAS MA 411 – 4 US Credits
Extends concepts and techniques of calculus and develops further applications. Topics
include higher dimensional calculus, applications of vector analysis, uniform convergence
of series, complex series, improper integrals, gamma and beta functions, Stirling's
formula, Fourier series and transform.
COMPLEX VARIABLES - CAS MA 412 – 4 US Credits
Basic concepts, results, and applications of complex analysis. Emphasis on computation
and applications. Complex plane and functions, differentiability, Cauchy-Riemann
conditions, contour integrals, Cauchy formulas, complex series, residue calculus,
applications. Extends the concepts of the calculus to the complex setting.
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MODERN ALGEBRA I - CAS MA 541 – 4 US Credits
Basic properties of groups, Sylow theorems, basic properties of rings and ideals, Euclidean
rings, polynomial rings.
GEOMETRY AND SYMMETRY - CAS MA 549 – 4 US Credits
Problem-oriented seminar in modern geometry focusing on invariants of transformation
groups. Specific topics may include Euclidean and plane geometry, Hilbert's Axioms,
conics, tilings, finite, projective, spherical and/or hyperbolic geometry, tessellations,
applications to number theory, Platonic Solids.
OPTIMIZATION METHODS OF OPERATIONS RESEARCH - CAS MA 569 – 4 US Credits
Optimization of linear functions: linear programming, simplex method; transportation,
assignment, and network problems. Optimization of non-linear functions: unconstrained
optima, constrained optima and Lagrange multipliers, Kuhn-Tucker conditions, calculus of
variations, and Euler's equation.
PROBABILITY - CAS MA 581 – 4 US Credits
Basic probability, conditional probability, independence. Discrete and continuous random
variables, mean and variance, functions of random variables, moment generating
function. Jointly distributed random variables, conditional distributions, independent
random variables. Methods of transformations, law of large numbers, central limit
theorem.
INTRODUCTION TO STOCHASTIC PROCESSES - CAS MA 583 – 4 US Credits
Basic concepts and techniques of stochastic process as they are most often used to
construct models for a variety of problems of practical interest. Topics include Markov
chains, Poisson process, birth and death processes, queuing theory, renewal processes,
and reliability.
PENSION MATHEMATICS AND MORTALITY TABLES - MET AT 782 – 4 US Credits
Covers pension actuarial funding methods and the use of life contingencies. Included are
analyses of the funding methods allowable under ERISA, their computation, and uses. Also
reviews the use of mortality tables and discusses the various actuarial functions that are
used in pension actuarial calculations. Finally, reviews implications for pension funding
under the IRS.
SAS WITH STATISTICAL APPLICATIONS - MET MA 603 – 4 US Credits
Offers a unified and in-depth coverage of the statistical computer package SAS and its
statistical applications. Topics include the language of SAS, data formatting, creating and
storing SAS data sets, file manipulations, macro procedure, and graphics. Also included are
procedures for statistical techniques selected from analysis of variance, regression, factor
analysis, scoring, and categorical data analysis. Several large data sets are used as case
studies emphasizing hands-on experience with SAS for Windows. Laboratory course.
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DISCRETE MATHEMATICS - MET CS 248 – 4 US Credits
Fundamentals of logic (the laws of logic, rules of inferences, quantifiers, proofs of
theorems). Fundamental principles of counting (permutations, combinations), set theory,
relations and functions, graphs, trees and sorting, shortest path and minimal spanning
trees algorithms. Monoids and Groups.
FOUNDATIONS OF ANALYTICS - MET CS 544 – 4 US Credits
Provides students with the mathematical and practical background required in the field of
data analytics. Starting with an introduction to probability and statistics, the R tool is
introduced for statistical computing and graphics. Different types of data are investigated
along with data summarization techniques and plotting. Data populations using discrete,
continuous, and multivariate distributions are explored. Errors during measurements and
computations are analyzed in the course. Confidence intervals and hypothesis testing
topics are also examined. The concepts covered in the course are demonstrated using R.
Laboratory course.
QUANTITATIVE METHODS FOR INFORMATION SYSTEMS - MET CS 546 – 4 US Credits
Provides Computer Information Systems students with the mathematical fundamentals
required for successful quantitative analysis of problems in the field of business
computing. The first part of the course introduces the mathematical prerequisites for
understanding probability and statistics. Topics include combinatorial mathematics,
functions, and the fundamentals of differentiation and integration. The second part of the
course concentrates on the study of elementary probability theory, and discrete and
continuous distributions.
INTRODUCTION TO EXPERIMENTAL DESIGN IN PSYCHOLOGY - CAS PS 211 – 4 US Credits
Introduction to logic and methodology of univariate statistics with relevance to
psychology. Topics include descriptive statistics, data representation, statistical inference,
probability and significance, correlation and regression, and non parametric analyses.
ELEMENTARY MATHEMATICAL ECONOMICS - CAS EC 505 – 4 US Credits
Stresses the formulation of economic problems in mathematical terms. Topics covered
include partial derivation, total differentials, constrained maximization, matrix algebra,
dynamic analysis, and discounting.
EMPIRICAL ECONOMICS 1 - CAS EC 203 – 4 US Credits
Statistical techniques are presented and applied to a variety of economics problems.
Extensive use of the statistical software package STATA.
EMPIRICAL ECONOMICS 2 - CAS EC 204 – 4 US Credits
Builds on the material in CAS EC 203, developing more complex statistical techniques and
applications.
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PROBABILISTIC AND STATISTICAL DECISION MAKING FOR MANAGEMENT - SMG QM 221
– 4 US Credits
Exposes students to the fundamentals of probability, decision analysis, and statistics, and
their application to business. Topics include probability, decision analysis, distributions,
sampling, estimation, hypothesis testing, and chi-square.
MODELING BUSINESS DECISIONS AND MARKET OUTCOMES - SMG QM 222 – 4 US
Credits
Examines the use of economic and statistical tools for making business decisions. Topics
include optimization (including linear programming), multiple regression, demand
modeling, cost modeling, industry analysis (including models of perfect competition,
monopoly, and oligopoly), and game theory. This course emphasizes modeling with
spreadsheets.
ENTERPRISE RISK ANALYTICS - MET AD 616 – 4 US Credits
Offers an overview of the key current and emerging enterprise risk analytical approaches
used by corporations and governmental institutions and is focused on understanding and
implementing the enterprise risk management framework on how to leverage the
opportunities around a firm to increase firm value. The major risk categories of enterprise
risk management such as financial risk, strategic risk, and operational risk are discussed
and risk analytics approaches for each of these risks are covered. Students learn how to
use interlinked data-inputs, analytics models, business statistics, optimization techniques,
simulation, and decision-support tools. An integrated enterprise risk analytics approach is
demonstrated with examples from different functional areas of the enterprise.
MATHEMATICAL REASONING IN THE ELEMENTARY GRADES: NUMBER SYSTEMS - SED
ME 503 – 4 US Credits (Grad)
Focuses on topics in number systems and operations with an emphasis on number,
operations, mental mathematics, proportionality, number theory, and probability.
Explores mathematics from the perspective of student and teacher. Emphasizes making
sense of key ideas of number systems and operations and exploring how students'
understanding of these topics emerge and develop.
MATHEMATICAL REASONING IN THE ELEMENTARY GRADES: ALGEBRA, GEOMETRY,
STATISTICS - SED ME 504 – 4US Credits (Grad)
Focuses on topics in algebra, geometry, measurement, and statistics. Explores
mathematics from the perspective of student and teacher. Emphasizes making sense of
key ideas in algebra and geometry and exploring how students' understanding of these
topics emerge and develop.
ASSESSMENT IN MATHEMATICS - SED ME 525 – 2 US Credits (Grad)
Introduces pre-service and in-service mathematics teachers to the theory and practice of
assessment in mathematics. Prepares teachers to apply research-supported assessment
techniques in their classrooms. Discussion about important issues in assessment around
mathematics is encouraged.
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EQUITABLE PEDAGOGIES IN STEM EDUCATION - SED ME 530 – 2 US Credits (Grad)
Examines the teaching and learning of mathematics and science in urban schools.
Considers how issues of race, gender, class, language, and culture affect the nature of
mathematics and science education in schools. Explores successful methodologies and
projects for teaching algebra to diverse populations.
SOCIAL WORK RESEARCH II - SSW SR 744 – 3 US Credits (Grad)
Students are introduced to the concepts and procedures that are fundamental to both
descriptive and inferential statistics. Explores empirical research examining the
effectiveness of social work practice, particularly in the urban environment. Utilizing
existing national data sets, students generate their own research hypotheses and then
formulate and carry out an analytic strategy to answer these questions effectively.
Emphasis is also placed on gaining skills in presenting and communicating key findings to
relevant audiences and stakeholders.
July in Chicago, IL, USA
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COLLEGE ALGEBRA - MATH 117 – 3 US Credits
Students study Inverse functions, quadratic functions and complex numbers. Detailed
study of polynomial functions including zeros, factor theorem and graphs. Rational
functions, exponential and logarathmic functions and their applications. Systems of
equations, inequalities, partial fractions, linear programming, sequences and series. Word
problems are emphasized throughout the course.
PRECALCULUS - MATH 118 – 3 US Credits
Functions and change with an emphasis on linear, quadratic, exponential, and logarithmic
functions and their graphs. Specific geometric topics include concavity and how
transformations affect graphs. Topics in trigonometry include radians, sinusoidal
functions, identities, sum/difference formulas, double/half angle formulas and
trigonometric equations. Other topics include polar coordinates.
APPLIED CALCULUS I - MATH 131 – 3 US Credits
This course is an introduction to differential and integral calculus, with an emphasis on
applications. This course is intended for students in the life and social sciences, computer
science, and business. Topics include: modelling change using functions including
exponential and trigonometric functions, the concept of the derivative, computing the
derivative, applications of the derivative to business and life, social and computer
sciences, and an introduction to integration. Students will obtain an understanding of
calculus and methods for applying calculus (especially differential calculus), including
modelling/ analysing processes (such as population growth and cooling), interpreting the
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derivative (numerical, graphical, and algebraic), and optimization (such as finding the time
and level for a peak drug concentration).
APPLIED CALCULUS II - MATH 132 – 3 US Credits
This course is a continuation of Mathematics 131. Topics include: definition and
interpretations of the integral (numerically, graphically, and algebraically), basic
techniques for computing anti-derivatives, applications to probability, an introduction to
multi-variable calculus and optimization for functions of several variables, and
mathematical modelling using differential equations. Students will obtain an
understanding of integral and multi-variable calculus, including modelling/analysing
processes with the integral, optimization of functions of several variables, and modelling
with differential equations.
CALCULUS I - MATH 161 – 4 US Credits
A traditional introduction to differential and integral calculus. Functions, limits, continuity,
differentiation, intermediate and mean-value theorems, curve sketching, optimization
problems, related rates, definite and indefinite integrals, fundamental theorem of
calculus, logarithmic and exponential functions. Applications to physics and other
disciplines.
CALCULUS II - MATH 162 – 4 US Credits
A continuation of Math 161. Calculus of logarithmic, exponential, inverse trigonometric
and hyperbolic functions. Techniques of integration. Applications of integration to volume,
surface area, arc length, centre of mass and work. Numerical sequences and series. Study
of power series and the theory of convergence. Study of Taylor's theorem with remainder.
FUNDAMENTALS OF STATISTICS - STAT 103 – 3 US Credits
This course provides an introduction to statistical reasoning and techniques in descriptive
and inferential statistics and their applications in economics, education, genetics,
medicine, physics, political science, and psychology. Students will obtain a background in
the fundamentals of descriptive and inferential statistics along with an understanding of
their uses and misuses.
INTRODUCTION TO BIOSTATISTICS - STAT 335 – 4 US Credits
This course provides an introduction to the statistical methods used in designing biological
experiments and in data analysis, including computer laboratory assignments with
biological data. Students interested in research in the life sciences will obtain a
background in the appropriate use of statistical methods as an experimental tool.
BUSINESS STATISTICS - ISOM 241 – 3 US Credits
Introduces the fundamentals of data analysis for business decision-making. The course
begins with describing and summarizing data, the relationship between frequency and
probability distributions and sampling theory. The fundamentals of drawing conclusions
from sample data, estimation and hypothesis testing are presented. The problems of
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representing and validating relationships among variables using simple and multiple
regressions are introduced. Computer software is used for problem-solving.
STATISTICS - PSYC 304 – 3 US Credits
Fundamentals of statistical analysis in psychology and related fields. Topics include
frequency distributions, central tendency, variability, graphical presentation, normal
distribution correlation, sampling distributions and tests of statistical significance
including analysis of variance.
RESEARCH METHODS - PSYC 306 – 3 US Credits
Logic and theory of the scientific method. Basic statistics and principles of research
methodologies employed in approaching major problem areas in psychology. Written
descriptions of research findings. This is a writing intensive course.
LAB IN EXPERIMENTAL PSYCHOLOGY: COGNITION - PSYC 314 – 3 US Credits
Laboratory demonstrations, experiments, and microcomputer applications in the area of
human cognition. Topics vary, but include learning, memory, thinking and language
processing. Students gain skills and experience in experimental design, measurement,
statistical analyses, and report writing as they relate to research on human cognition.
QUANTITATIVE ANALYSIS - CHEM 212 – 3 US Credits
This lecture course provides an introduction to modern analytical quantitative chemistry.
Topics include chemical equilibrium, statistical analysis of data as well as modern and
classical methods of chemical analysis.
QUANTITATIVE ANALYSIS LAB - CHEM 214 – 1 US Credit
This laboratory course introduces students to classical and modern methods of chemical
analysis and teaches wet chemical laboratory techniques.
July in Los Angeles, CA, USA
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MATH 1. PRECALCULUS – 4 US Credits
Function concept. Linear and polynomial functions and their graphs, applications to
optimization. Inverse, exponential, and logarithmic functions. Trigonometric functions.
MATH 3A. CALCULUS FOR LIFE SCIENCES STUDENTS – 4 US Credits
Modeling with functions, limits, and derivatives, decisions and optimization in biology,
derivative rules and tools.
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MATH 3C. ORDINARY DIFFERENTIAL EQUATIONS WITH LINEAR ALGEBRA FOR LIFE
SCIENCES STUDENTS – 4 US Credits
Multivariable modeling, matrices and vectors, eigenvalues and eigenvectors, linear and
nonlinear systems of differential equations, probabilistic applications of integration.
MATH 31A. DIFFERENTIAL AND INTEGRAL CALCULUS – 4 US Credits
Differential calculus and applications; introduction to integration.
MATH 32A. CALCULUS OF SEVERAL VARIABLES – 4 US Credits
Introduction to differential calculus of several variables, vector field theory.
MATH 33A. LINEAR ALGEBRA AND APPLICATIONS – 4 US Credits
Introduction to linear algebra: systems of linear equations, matrix algebra, linear
independence, subspaces, bases and dimension, orthogonality, least-squares methods,
determinants, eigenvalues and eigenvectors, matrix diagonalization, and symmetric
matrices.
MATH 61. INTRODUCTION TO DISCRETE STRUCTURES – 4 US Credits
Discrete structures commonly used in computer science and mathematics, including sets
and relations, permutations and combinations, graphs and trees, induction.
MATH 110A. ALGEBRA – 4 US Credits
Ring of integers, integral domains, fields, polynomial domains, unique factorization.
MATH 115A. LINEAR ALGEBRA – 5 US Credits
Techniques of proof, abstract vector spaces, linear transformations, and matrices;
determinants; inner product spaces; eigenvector theory.
MATH 131A. ANALYSIS – 4 US Credits
Rigorous introduction to foundations of real analysis; real numbers, point set topology in
Euclidean space, functions, continuity.
MATH 132. COMPLEX ANALYSIS FOR APPLICATIONS – 4 US Credits
Introduction to basic formulas and calculation procedures of complex analysis of one
variable relevant to applications. Topics include Cauchy/Riemann equations, Cauchy
integral formula, power series expansion, contour integrals, residue calculus.
MATH 134. LINEAR AND NONLINEAR SYSTEMS OF DIFFERENTIAL EQUATIONS – 4 US
Credits
Dynamical systems analysis of nonlinear systems of differential equations. One- and twodimensional flows. Fixed points, limit cycles, and stability analysis. Bifurcations and normal
forms. Elementary geometrical and topological results. Applications to problems in
biology, chemistry, physics, and other fields.
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MATH 135. ORDINARY DIFFERENTIAL EQUATIONS – 4 US Credits
Laplace transforms, existence and uniqueness theorems, Fourier series, separation of
variable solutions to partial differential equations, Sturm/Liouville theory, calculus of
variations, two-point boundary value problems, Green's functions.
MATH 142. MATHEMATICAL MODELING – 4 US Credits
Introduction to fundamental principles and spirit of applied mathematics. Emphasis on
manner in which mathematical models are constructed for physical problems. Illustrations
from many fields of endeavor, such as physical sciences, biology, economics, and traffic
dynamics.
MATH 164. OPTIMIZATION – 4 US Credits
Fundamentals of optimization. Linear programming: basic solutions, simplex method,
duality theory. Unconstrained optimization, Newton's method for minimization. Nonlinear
programming, optimality conditions for constrained problems. Additional topics from
linear and nonlinear programming.
MATH 167. MATHEMATICAL GAME THEORY – 4 US Credits
Quantitative modeling of strategic interaction. Topics include extensive and normal form
games, background probability, lotteries, mixed strategies, pure and mixed Nash equilibria
and refinements, bargaining; emphasis on economic examples. Optional topics include
repeated games and evolutionary game theory.
MATH 170A. PROBABILITY THEORY – 4 US Credits
Probability distributions, random variables and vectors, expectation.
MATH 172A. INTRODUCTION TO FINANCIAL MATHEMATICS – 4 US Credits
Designed to prepare students for Society of Actuaries Financial Mathematics examination.
Provides understanding of fundamental concepts of financial mathematics and how those
concepts are applied in calculating present and accumulated values from various streams
of cash flows as basis for future use in reserving, valuation, pricing asset/liability
management, investment income, capital budgeting, and valuing contingent cash flows.
MATH 174E. MATHEMATICS OF FINANCE FOR MATHEMATICS/ECONOMICS STUDENTS –
4 US Credits
Modeling, mathematics, and computation for financial securities. Price of risk. Random
walk models for stocks and interest rates. No-arbitrage theory for pricing derivative
securities; Black/Scholes theory. European and American options. Monte Carlo, trees,
finite difference methods.
STATS 10. INTRODUCTION TO STATISTICAL REASONING – 5 US Credits
Introduction to statistical thinking and understanding, including strengths and limitations
of basic experimental designs, graphical and numerical summaries of data, inference,
regression as descriptive tool.
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STATS 13. INTRODUCTION TO STATISTICAL METHODS FOR LIFE AND HEALTH SCIENCES –
5 US Credits
Presentation and interpretation of data, descriptive statistics, introduction to correlation
and regression and to basic statistical inference (estimation, testing of means and
proportions, ANOVA) using both bootstrap methods and parametric models.
STATS 20. INTRODUCTION TO STATISTICAL PROGRAMMING WITH R – 4 US Credits
Designed to prepare students for upper division work in statistics. Introduction to use of R,
including data management, simple programming, and statistical graphics in R.
STATS 100A. INTRODUCTION TO PROBABILITY – 4 US Credits
Students may receive credit for only two of following: course 100A, former course 110A,
Biostatistics 100A. Probability distributions, random variables, vectors, and expectation.
STATS 100B. INTRODUCTION TO MATHEMATICAL STATISTICS – 4 US Credits
Survey sampling, estimation, testing, data summary, one- and two-sample problems.
STATS 101A. INTRODUCTION TO DATA ANALYSIS AND REGRESSION – 4 US Credits
Applied regression analysis, with emphasis on general linear model (e.g., multiple
regression) and generalized linear model (e.g., logistic regression). Special attention to
modern extensions of regression, including regression diagnostics, graphical procedures,
and bootstrapping for statistical influence.
STATS 102A. INTRODUCTION TO COMPUTATIONAL STATISTICS WITH R – 4 US Credits
Introduction to programming and data analysis in R.
ECON 41. STATISTICS FOR ECONOMISTS – 4 US Credits
Introduction to probability and statistics for economists, with emphasis on rigorous
arguments.
PSYCH 100A. PSYCHOLOGICAL STATISTICS – 4 US Credits
Basic statistical procedures and their application to research and practice in various areas
of psychology.
PSYCH 100B. RESEARCH METHODS IN PSYCHOLOGY – 6 US Credits
Introduction to research methods and critical analysis in psychology. Lecture and
laboratory topics include experimental and nonexperimental research methods, statistical
design and analysis as applied to a broad range of basic and applied research issues.
POL SCI 6. INTRODUCTION TO DATA ANALYSIS – 5 US Credits
Introduction to collection and analysis of political data, with emphasis on application of
statistical reasoning to study of relationships among political variables. Use of computer
as aid in analyzing data from various fields of political science, among them comparative
politics, international relations, American politics, and public administration.
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January in Dunedin, New Zealand
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GENERAL MATHEMATICS
A service paper in mathematical methods, including both calculus and algebra techniques,
and recommended for students who have insufficient achievement in NCEA Level 3
Mathematics (or equivalent) but have sufficient achievement in NCEA Level 2
Mathematics (or equivalent). Students who have gained 12 credits in NCEA Level 3
Mathematics with Calculus or 18 credits in NCEA Level 3 Statistics and Modeling or an
equivalent qualification will not normally be accepted into this paper (for which Head of
Department approval is required).
MATHEMATICS 1
This paper consists of half algebra and half calculus, and is the main entry point to 100level mathematics. The paper provides the basis for progression to MATH170 and then to
200-level mathematics, as well as an adequate background to support other subjects.
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Volunteer Abroad Programs:
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broad project focuses, including community development, environmental conservation,
wildlife, education, and health.
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Intern Abroad Programs:
CISaustralia offer a range of locations – 8 in total – for professional, customised internship
programs that provide a comprehensive range of services and inclusions.
Please enquire about an internship placement in Mathematics in one of our Intern Abroad
program locations.
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For short course offerings in other academic areas, please visit:
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