Academic Area: Mathematics CISaustralia is a leading provider of overseas study, intern, and volunteer programs for 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 (Click to view course and program details) 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. www.cisaustralia.com.au 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. www.cisaustralia.com.au 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. www.cisaustralia.com.au 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. www.cisaustralia.com.au 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. www.cisaustralia.com.au 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. www.cisaustralia.com.au 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 (Click to view course and program details) 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 www.cisaustralia.com.au 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 www.cisaustralia.com.au 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 (Click to view course and program details) 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. www.cisaustralia.com.au 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. www.cisaustralia.com.au 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. www.cisaustralia.com.au 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. www.cisaustralia.com.au January in Dunedin, New Zealand (Click to view course and program details) 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. www.cisaustralia.com.au Volunteer Abroad Programs: CISaustralia offer a wide range of Volunteer Abroad programs – over 18 in total – with broad project focuses, including community development, environmental conservation, wildlife, education, and health. View all Volunteer Abroad programs 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. View all Intern Abroad programs Additional Academic Areas: For short course offerings in other academic areas, please visit: www.CISaustralia.com.au/academic-areas Enquire: Submit an enquiry info@cisaustralia.com.au 07 5571 7887 www.cisaustralia.com.au