Secondary Mathematics (B.Ed.) (120 credits)
Offered by: Integrated Studies in Ed (Faculty of Education)
Degree: Bachelor of Education
Program credit weight: 120 credits
Program Description
The Bachelor of Education (B.Ed.) – Secondary Mathematics program requires 120 credits and leads to teacher certification. Students who have not completed Quebec CEGEP, French Baccalaureate, International Baccalaureate, or at least one year of university studies prior to commencing the B.Ed. must also complete a minimum of 30 credits of Freshman courses (in addition to the 120 credits for the program) for a total of 150 credits.
Note: Students entering this program from CEGEP or with Advanced Standing should have a strong background in their Mathematics courses. Students entering from CEGEP or with Advanced Standing without having completed two calculus courses and one linear algebra course (MATH 133 Linear Algebra and Geometry., MATH 140 Calculus 1., and MATH 141 Calculus 2. or their equivalents) will be required to make up any deficiencies in these courses over and above the degree requirements.
The aim of the B.Ed. Secondary Education program is to prepare strong beginning teachers for the secondary school level.
This integrated program consists of courses in Education (including field experiences) and courses in the subject area of the teaching specialization. Students also take 6 credits of free electives. For all teacher education programs, course sequencing is highly structured. For this reason, the advising information in this Course Catalogue section must be used in conjunction with the summary companion document (Program Overview) found at http://www.mcgill.ca/dise/progs/secmath.
The Secondary Mathematics program provides students with the learning opportunities needed to become proficient Mathematics teachers.
Please note that graduates of teacher education programs are recommended by the University to the Quebec Ministry of Education for Quebec teacher certification. For more information about teacher certification in Quebec, please refer to the Faculty of Education section under "Overview of Faculty Programs", "Undergraduate Education Programs", and "Quebec Teacher Certification".
Note: For information about Fall 2025 and Winter 2026 course offerings, please check back on May 8, 2025. Until then, the "Terms offered" field will appear blank for most courses while the class schedule is being finalized.
Freshman Program
Students normally complete 30 credits in their Freshman (U0) year.
The Freshman year is the time to take introductory-level courses in Mathematics, as well as to explore areas that are not normally taken as teachable subject areas within B.Ed. programs (e.g., Sociology, Psychology, Political Science, etc.). Students should also investigate the possibility of taking one of the First Year Seminar courses offered by the Faculty of Arts or the Faculty of Science.
Students in the Secondary Mathematics program must complete three Math prerequisite courses in their Freshman year, MATH 133 Linear Algebra and Geometry., MATH 140 Calculus 1., and MATH 141 Calculus 2..
In addition, students select courses from the recommended list below or other courses in consultation with the Program Adviser. The French Second Language (FRSL) courses suggested require a placement test to determine the appropriate course level.
| Course | Title | Credits |
|---|---|---|
| EDEM 220 | Contemporary Issues in Education. | 3 |
Contemporary Issues in Education. Terms offered: this course is not currently offered. An introduction to contemporary issues in education in local, national and international contexts, including a critical perspective on educational issues by drawing on a variety of analytical frameworks. | ||
| FRSL 101 | Beginners French 1. | 3 |
Beginners French 1. Terms offered: this course is not currently offered. A comprehensive introduction to basic vocabulary, grammatical structures and speech patterns of written and oral French for students in any degree program having no previous knowledge of French. Learning to communicate at a functional level in a French-speaking environment. Short essays, cultural readings, mandatory lab practice. | ||
| FRSL 102 | Beginners French 2. | 3 |
Beginners French 2. Terms offered: this course is not currently offered. A comprehensive introduction to basic vocabulary, grammatical structures and speech patterns of written and oral French for students in any degree program having no previous knowledge of French. Learning to communicate at a functional level in a French-speaking environment. Short essays, cultural readings, mandatory lab practice. | ||
| FRSL 207D1 | Elementary French 01. | 3 |
Elementary French 01. Terms offered: this course is not currently offered. This two-term course uses a task-based approach to provide students with authentic materials related to Canadian culture and prepares them for real life communication. Therefore, class time will be mostly dedicated to the completion of communicative tasks which often rely on the use of technology (mobile apps, blogs and other online tools). This course tackles different topics that students can relate to in their personal, social and academic life, and provides a review and further training in elementary language structures to develop their communication skills and digital literacy in French. | ||
| FRSL 207D2 | Elementary French 01. | 3 |
Elementary French 01. Terms offered: this course is not currently offered. See FRSL 207D1 for course description. | ||
| FRSL 211D1 | Oral and Written French 1. | 3 |
Oral and Written French 1. Terms offered: this course is not currently offered. Language lab attendance required. Grammar review, comprehension, vocabulary development, selected readings and group discussions. | ||
| FRSL 211D2 | Oral and Written French 1. | 3 |
Oral and Written French 1. Terms offered: this course is not currently offered. See FRSL 211D1 for course description. | ||
| MATH 133 | Linear Algebra and Geometry. | 3 |
Linear Algebra and Geometry. Terms offered: Summer 2025 Systems of linear equations, matrices, inverses, determinants; geometric vectors in three dimensions, dot product, cross product, lines and planes; introduction to vector spaces, linear dependence and independence, bases. Linear transformations. Eigenvalues and diagonalization. | ||
| MATH 140 | Calculus 1. | 3 |
Calculus 1. Terms offered: Summer 2025 Review of functions and graphs. Limits, continuity, derivative. Differentiation of elementary functions. Antidifferentiation. Applications. | ||
| MATH 141 | Calculus 2. | 4 |
Calculus 2. Terms offered: Summer 2025 The definite integral. Techniques of integration. Applications. Introduction to sequences and series. | ||
| RELG 204 | Judaism, Christianity and Islam. | 3 |
Judaism, Christianity and Islam. Terms offered: this course is not currently offered. An introduction to the beliefs, practices, and religious institutions of these three world religions. | ||
| RELG 207 | Introduction to the Study of Religions. | 3 |
Introduction to the Study of Religions. Terms offered: this course is not currently offered. This course is an introduction to classic and contemporary approaches to the academic study of religions. This includes perspectives from philosophy, theology, anthropology, sociology, psychology, phenomenology, and feminism. Students are also exposed to applications of these perspectives from visiting scholars who treat some aspect of a religious tradition in light of current-day interests and events. The primary objective is to introduce students to the principal theories and methods that have shaped our understanding of religion, its various meanings as well as its roles and functions in society. | ||
| WCOM 250 | Research Essay and Rhetoric. | 3 |
Research Essay and Rhetoric. Terms offered: this course is not currently offered. Academic research-based writing across the disciplines. Article summary, critical analysis, rhetorical strategies, citation and paraphrase of academic sources, and editing for cohesion and clarity. | ||
Required Courses (60 credits)
| Course | Title | Credits |
|---|---|---|
| EDEC 201 | First Year Professional Seminar. | 1 |
First Year Professional Seminar. Terms offered: Summer 2025 Orientation to the culture and community of school and to teaching as a profession. Focus on the general functioning of schools and complexity of the teacher role. Competencies and working professional portfolios will be addressed. | ||
| EDEC 215 | English Exam for Teacher Certification. | 0 |
English Exam for Teacher Certification. Terms offered: Summer 2025 The English Exam for Teacher Certification (EETC) is a Quebec Ministry of Education-required component of the B.Ed. degree. The exam is coordinated by an independent organization, the Centre for the English Exam for Teacher Certification (CEETC). Consists of a 2-hour exam designed to assess teacher candidates' competency in the language of instruction. Must be completed before the 3rd Field Experience. Students must register for EDEC 215 and register for the EETC on the CEETC website. Students who do not pass after four attempts require permission from the Internships Student Affairs Office to re-take the exam. | ||
| EDEC 233 | Indigenous Education. | 3 |
Indigenous Education. Terms offered: this course is not currently offered. An exploration of Indigenous knowledge and pedagogy, primarily in Canada but also world-wide. Consideration of the diverse social, cultural, linguistic, political, and pedagogical histories of Indigenous communities. Examines how a teacher's professional identity and practice can be influenced by an understanding of Indigenous knowledge and worldviews. | ||
| EDEC 247 | Policy Issues in Quebec and Indigenous Education. | 3 |
Policy Issues in Quebec and Indigenous Education. Terms offered: Summer 2025 The organization of Quebec education, including Indigenous education, from historical, political, social, cultural and legal perspectives. The implications and contributions of policy decisions to schools, students, and families. | ||
| EDEC 254 | Second Professional Seminar (Secondary). | 1 |
Second Professional Seminar (Secondary). Terms offered: Summer 2025 Preparation for the second field experience through development of basic practices in planning and teaching in secondary school classrooms. Competencies and professional portfolio will be addressed. | ||
| EDEC 260 | Philosophical Foundations. | 3 |
Philosophical Foundations. Terms offered: this course is not currently offered. Ideas essential for the development of a coherent educational theory and sound professional practice. Reflections on: the nature of the person, of reality, of knowledge, and of value; the aims of education, the nature of the school and the curriculum, the roles and responsibilities of professional educators. | ||
| EDEC 262 | Media, Technology and Education. | 3 |
Media, Technology and Education. Terms offered: this course is not currently offered. Orientation to the equipment and systems of educational technology. Examination of theories of educational technology, media education and technology education and the exploration and development of possible applications in school settings. | ||
| EDEC 351 | Third Professional Seminar (Secondary). | 2 |
Third Professional Seminar (Secondary). Terms offered: this course is not currently offered. Professional portfolios and competencies will be addressed. Preparation for the third field experience through engaging in the full spectrum of unit/lesson planning, critical analysis and self-reflection. Professional portfolios and competencies will be addressed. | ||
| EDEC 404 | Fourth Year Professional Seminar (Sec). | 3 |
Fourth Year Professional Seminar (Sec). Terms offered: this course is not currently offered. Preparation for the final field experience and entry into the teaching profession. Emphasis will be placed on developing the ability to demonstrate ethical and responsible professional behaviour in the performance of duties across all professional competencies. Final transition to showcase working professional portfolios will be addressed. | ||
| EDES 350 | Classroom Practices. | 3 |
Classroom Practices. Terms offered: this course is not currently offered. Competency-based discipline skills and methods of classroom management, emphasizing the relationship between theory and practice; the rationale for various approaches to classroom management; strategies for developing instruction that focus attention and reduce off-task behaviour. | ||
| EDES 353 | Teaching Secondary Mathematics 1. | 3 |
Teaching Secondary Mathematics 1. Terms offered: this course is not currently offered. Provides insight and understanding of the Quebec secondary mathematics program. Focuses on key areas of what secondary mathematics teachers need to know and be able to do to support students' development of mathematical understanding (focus on mathematics content, students' reasoning, and pedagogy). | ||
| EDES 453 | Teaching Secondary Mathematics 2. | 3 |
Teaching Secondary Mathematics 2. Terms offered: this course is not currently offered. This course supplements EDES 353 for students who select Mathematics as a single teachable subject. Evaluation of learning in Mathematics, obstacles to learning, technological aids to learning. | ||
| EDFE 200 | First Field Experience (K/Elem and Secondary). | 2 |
First Field Experience (K/Elem and Secondary). Terms offered: Summer 2025 Students are assigned to a school for a "participant observer" field experience. Students are expected to apprise themselves of Field Experience dates, duration and responsibilities as outlined on the Internships Student Affairs website at http://www.mcgill.ca/isa. | ||
| EDFE 254 | Second Field Experience (Secondary). | 3 |
Second Field Experience (Secondary). Terms offered: Summer 2025 Supervised student teaching. Students are expected to apprise themselves of Field Experience dates, duration and responsibilities as outlined on the Internships and Student Affairs website at www.mcgill.ca/isa. | ||
| EDFE 351 | Third Field Experience (Secondary). | 8 |
Third Field Experience (Secondary). Terms offered: Fall 2025 Supervised student teaching in a school. Students are expected to apprise themselves of Field Experience, dates, duration and responsibilities as outlined on the Internships Student Affairs Office website http://www.mcgill.ca/isa. | ||
| EDFE 451 | Fourth Field Experience (Secondary). | 7 |
Fourth Field Experience (Secondary). Terms offered: this course is not currently offered. Supervised student teaching in a school. Students will be expected to assume a much increased responsibility for student learning, classroom management, and evaluation. Students are expected to apprise themselves of Field Experience dates, duration and responsibilities as outlined on the Internships and Student Affairs website at www.mcgill.ca/isa. | ||
| EDPE 300 | Educational Psychology. | 3 |
Educational Psychology. Terms offered: this course is not currently offered. Selected theories, models, and concepts relevant to planning and reflecting upon educational practice and improvement. Overview of development, learning, thinking, motivation, individual difference, etc. In relation to applications in classroom teaching and learning, the complementary role of counsellors and psychologists, educational computing and technology. The Youth Protection Act. | ||
| EDPE 304 | Measurement and Evaluation. | 3 |
Measurement and Evaluation. Terms offered: this course is not currently offered. The purposes of examinations. Causes of complaints about examinations. Equalizing means and dispersions in distribution of marks. Standardized scores. The percentile system. Essay and objective-type examinations. Taxonomies of educational objectives. Validity and reliability: item analysis. | ||
| EDPI 309 | Diverse Learners. | 3 |
Diverse Learners. Terms offered: this course is not currently offered. Inclusion debates; review of the evolution of the history of inclusive education; models of development ( eco-systemic models); characteristics, teaching practices; teachers' roles in inclusive classrooms. Overview of characteristics, causes, needs, and teaching strategies for diverse and exceptional students, teaching and learning for differences in intellectual, emotional, behavioural, sensory, physical and learning domains found in effective inclusive classrooms. Working with families. | ||
| EDPI 341 | Instruction in Inclusive Schools. | 3 |
Instruction in Inclusive Schools. Terms offered: this course is not currently offered. Developing, planning, implementing and evaluating effective learning programs for diverse learners, and consideration of their more general applicability. Adapting curriculum and instruction for learners with varying abilities, learning styles, and needs. Collaboration with students, families, and other educators (or stakeholders) in the instructional process. Application of adaptations at the classroom and school level for all students in inclusive schools. | ||
Complementary Courses (3 credits)
3 credits selected as described below.
Multicultural Education
3 credits from:
| Course | Title | Credits |
|---|---|---|
| EDEC 248 | Equity and Education. | 3 |
Equity and Education. Terms offered: this course is not currently offered. Introduction to and exploration of contemporary issues and theories about equity in education and society in Quebec/Canada from a range of perspectives, including the historical, political, social, and economic. Provides learning opportunities for future educators to critically reflect upon and engage with equity issues and concerns in relation to schooling, including the exploration of classroom resources and activities that foster anti-racism, anti-oppression and intercultural approaches. | ||
| EDEC 249 | Global Education and Social Justice. | 3 |
Global Education and Social Justice. Terms offered: this course is not currently offered. A cross-curricular, interdisciplinary approach to teaching/creating learning experiences for students. It will foster critical thinking and nurture lifelong global understanding, active engagement and participation in relation to questions of social, economic, and environmental justice, by infusing these issues in the classroom. | ||
Secondary Mathematics Subject Area (51 credits)
Secondary Mathematics students complete 51 credits selected in consultation with the Program Adviser in one of two options.
Option 1
21 credits from the list of "Required Mathematics Courses" and
30 credits from the list of "Complementary Mathematics Courses"
Or
Option 2
21 credits from the list of "Required Mathematics Courses" and
15 credits from the list of "Complementary Mathematics Courses"
And
15 credits of designated courses in another unofficial "teachable" subject area (English, Social Sciences, or Science and Technology - see an adviser for courses).
Required Mathematics Courses (21 credits)
| Course | Title | Credits |
|---|---|---|
| MATH 222 | Calculus 3. | 3 |
Calculus 3. Terms offered: Summer 2025 Taylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals. | ||
| MATH 223 | Linear Algebra. | 3 |
Linear Algebra. Terms offered: this course is not currently offered. Review of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications. | ||
| MATH 228 | Classical Geometry. | 3 |
Classical Geometry. Terms offered: this course is not currently offered. This course is designed to reintroduce classical Euclidean geometry to tomorrow’s teachers. Topics include: Axioms and Euclid’s Elements, the triangle theorem, the Pythagorean Theorem and its extensions, basic constructions and similar triangles, Thales’ theorems and cyclic quadrilaterals, the centers of triangles, the nine-point circle, conic sections and analytic geometry, the prismatoid formula, the Platonic solids, non-Euclidean geometries. | ||
| MATH 315 | Ordinary Differential Equations. | 3 |
Ordinary Differential Equations. Terms offered: this course is not currently offered. First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions. | ||
| MATH 323 | Probability. | 3 |
Probability. Terms offered: Summer 2025 Sample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem. | ||
| MATH 324 | Statistics. | 3 |
Statistics. Terms offered: this course is not currently offered. Sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, contingency tables, nonparametric inference, regression, Bayesian inference. | ||
| MATH 338 | History and Philosophy of Mathematics. | 3 |
History and Philosophy of Mathematics. Terms offered: this course is not currently offered. Egyptian, Babylonian, Greek, Indian and Arab contributions to mathematics are studied together with some modern developments they give rise to, for example, the problem of trisecting the angle. European mathematics from the Renaissance to the 18th century is discussed, culminating in the discovery of the infinitesimal and integral calculus by Newton and Leibnitz. Demonstration of how mathematics was done in past centuries, and involves the practice of mathematics, including detailed calculations, arguments based on geometric reasoning, and proofs. | ||
Complementary Mathematics Courses
(30 OR 15 credits)
3 credits from:
| Course | Title | Credits |
|---|---|---|
| MATH 235 | Algebra 1. 1 | 3 |
Algebra 1. Terms offered: this course is not currently offered. Sets, functions and relations. Methods of proof. Complex numbers. Divisibility theory for integers and modular arithmetic. Divisibility theory for polynomials. Rings, ideals and quotient rings. Fields and construction of fields from polynomial rings. Groups, subgroups and cosets; homomorphisms and quotient groups. | ||
| MATH 242 | Analysis 1. 1 | 3 |
Analysis 1. Terms offered: this course is not currently offered. A rigorous presentation of sequences and of real numbers and basic properties of continuous and differentiable functions on the real line. | ||
- 1
Should be taken in Year 1 or Year 2
27 credits from the list below for Secondary Mathematics Option 1 students or 12 credits from the list below for Secondary Mathematics Option 2 students
| Course | Title | Credits |
|---|---|---|
| COMP 202 | Foundations of Programming. | 3 |
Foundations of Programming. Terms offered: Summer 2025 Introduction to computer programming in a high level language: variables, expressions, primitive types, methods, conditionals, loops. Introduction to algorithms, data structures (arrays, strings), modular software design, libraries, file input/output, debugging, exception handling. Selected topics. | ||
| COMP 230 | Logic and Computability. | 3 |
Logic and Computability. Terms offered: this course is not currently offered. Propositional Logic, predicate calculus, proof systems, computability Turing machines, Church-Turing thesis, unsolvable problems, completeness, incompleteness, Tarski semantics, uses and misuses of Gödel's theorem. | ||
| EDTL 520 | Perspectives on Knowledge in Mathematics and Science. | 3 |
Perspectives on Knowledge in Mathematics and Science. Terms offered: this course is not currently offered. A variety of perspectives on construction of knowledge in mathematics and science and how the products of scientific and mathematical practices are shaped by broader social, cultural, and political forces. | ||
| MATH 235 | Algebra 1. | 3 |
Algebra 1. Terms offered: this course is not currently offered. Sets, functions and relations. Methods of proof. Complex numbers. Divisibility theory for integers and modular arithmetic. Divisibility theory for polynomials. Rings, ideals and quotient rings. Fields and construction of fields from polynomial rings. Groups, subgroups and cosets; homomorphisms and quotient groups. | ||
| MATH 236 | Algebra 2. | 3 |
Algebra 2. Terms offered: this course is not currently offered. Linear equations over a field. Introduction to vector spaces. Linear mappings. Matrix representation of linear mappings. Determinants. Eigenvectors and eigenvalues. Diagonalizable operators. Cayley-Hamilton theorem. Bilinear and quadratic forms. Inner product spaces, orthogonal diagonalization of symmetric matrices. Canonical forms. | ||
| MATH 242 | Analysis 1. | 3 |
Analysis 1. Terms offered: this course is not currently offered. A rigorous presentation of sequences and of real numbers and basic properties of continuous and differentiable functions on the real line. | ||
| MATH 243 | Analysis 2. | 3 |
Analysis 2. Terms offered: this course is not currently offered. Definition and properties of Riemann integral, Fundamental Theorem of Calculus, Taylor's theorem. Infinite series: alternating, telescoping series, rearrangements, conditional and absolute convergence, convergence tests. Power series and Taylor series. Elementary functions. Introduction to metric spaces. | ||
| MATH 314 | Advanced Calculus. | 3 |
Advanced Calculus. Terms offered: this course is not currently offered. Derivative as a matrix. Chain rule. Implicit functions. Constrained maxima and minima. Jacobians. Multiple integration. Line and surface integrals. Theorems of Green, Stokes and Gauss. Fourier series with applications. | ||
| MATH 316 | Complex Variables. | 3 |
Complex Variables. Terms offered: this course is not currently offered. Algebra of complex numbers, Cauchy-Riemann equations, complex integral, Cauchy's theorems. Taylor and Laurent series, residue theory and applications. | ||
| MATH 317 | Numerical Analysis. | 3 |
Numerical Analysis. Terms offered: this course is not currently offered. Error analysis. Numerical solutions of equations by iteration. Interpolation. Numerical differentiation and integration. Introduction to numerical solutions of differential equations. | ||
| MATH 318 | Mathematical Logic. 1 | 3 |
Mathematical Logic. Terms offered: this course is not currently offered. Propositional logic: truth-tables, formal proof systems, completeness and compactness theorems, Boolean algebras; first-order logic: formal proofs, Gödel's completeness theorem; axiomatic theories; set theory; Cantor's theorem, axiom of choice and Zorn's lemma, Peano arithmetic; Gödel's incompleteness theorem. | ||
| MATH 319 | Partial Differential Equations . | 3 |
Partial Differential Equations . Terms offered: this course is not currently offered. First order equations, geometric theory; second order equations, classification; Laplace, wave and heat equations, Sturm-Liouville theory, Fourier series, boundary and initial value problems. | ||
| MATH 326 | Nonlinear Dynamics and Chaos. | 3 |
Nonlinear Dynamics and Chaos. Terms offered: this course is not currently offered. Linear systems of differential equations, linear stability theory. Nonlinear systems: existence and uniqueness, numerical methods, one and two dimensional flows, phase space, limit cycles, Poincare-Bendixson theorem, bifurcations, Hopf bifurcation, the Lorenz equations and chaos. | ||
| MATH 327 | Matrix Numerical Analysis. | 3 |
Matrix Numerical Analysis. Terms offered: this course is not currently offered. An overview of numerical methods for linear algebra applications and their analysis. Problem classes include linear systems, least squares problems and eigenvalue problems. | ||
| MATH 329 | Theory of Interest. | 3 |
Theory of Interest. Terms offered: this course is not currently offered. Simple and compound interest, annuities certain, amortization schedules, bonds, depreciation. | ||
| MATH 340 | Discrete Mathematics. | 3 |
Discrete Mathematics. Terms offered: this course is not currently offered. Discrete Mathematics and applications. Graph Theory: matchings, planarity, and colouring. Discrete probability. Combinatorics: enumeration, combinatorial techniques and proofs. | ||
| MATH 346 | Number Theory. | 3 |
Number Theory. Terms offered: this course is not currently offered. Divisibility. Congruences. Quadratic reciprocity. Diophantine equations. Arithmetical functions. | ||
| MATH 348 | Euclidean Geometry. | 3 |
Euclidean Geometry. Terms offered: this course is not currently offered. Points and lines in a triangle. Quadrilaterals. Angles in a circle. Circumscribed and inscribed circles. Congruent and similar triangles. Area. Power of a point with respect to a circle. Ceva’s theorem. Isometries. Homothety. Inversion. | ||
| MATH 417 | Linear Optimization. | 3 |
Linear Optimization. Terms offered: this course is not currently offered. An introduction to linear optimization and its applications: Duality theory, fundamental theorem, sensitivity analysis, convexity, simplex algorithm, interior-point methods, quadratic optimization, applications in game theory. | ||
| MATH 423 | Applied Regression. | 3 |
Applied Regression. Terms offered: this course is not currently offered. Multiple regression estimators and their properties. Hypothesis tests and confidence intervals. Analysis of variance. Prediction and prediction intervals. Model diagnostics. Model selection. Introduction to weighted least squares. Basic contingency table analysis. Introduction to logistic and Poisson regression. Applications to experimental and observational data. | ||
| MATH 447 | Introduction to Stochastic Processes. | 3 |
Introduction to Stochastic Processes. Terms offered: this course is not currently offered. Conditional probability and conditional expectation, generating functions. Branching processes and random walk. Markov chains, transition matrices, classification of states, ergodic theorem, examples. Birth and death processes, queueing theory. | ||
| MATH 523 | Generalized Linear Models. | 4 |
Generalized Linear Models. Terms offered: this course is not currently offered. Exponential families, link functions. Inference and parameter estimation for generalized linear models; model selection using analysis of deviance. Residuals. Contingency table analysis, logistic regression, multinomial regression, Poisson regression, log-linear models. Multinomial models. Overdispersion and Quasilikelihood. Applications to experimental and observational data. | ||
| MATH 524 | Nonparametric Statistics. | 4 |
Nonparametric Statistics. Terms offered: this course is not currently offered. Distribution free procedures for 2-sample problem: Wilcoxon rank sum, Siegel-Tukey, Smirnov tests. Shift model: power and estimation. Single sample procedures: Sign, Wilcoxon signed rank tests. Nonparametric ANOVA: Kruskal-Wallis, Friedman tests. Association: Spearman's rank correlation, Kendall's tau. Goodness of fit: Pearson's chi-square, likelihood ratio, Kolmogorov-Smirnov tests. Statistical software packages used. | ||
| MATH 525 | Sampling Theory and Applications. | 4 |
Sampling Theory and Applications. Terms offered: this course is not currently offered. Simple random sampling, domains, ratio and regression estimators, superpopulation models, stratified sampling, optimal stratification, cluster sampling, sampling with unequal probabilities, multistage sampling, complex surveys, nonresponse. | ||
| PHIL 210 | Introduction to Deductive Logic 1. 1 | 3 |
Introduction to Deductive Logic 1. Terms offered: Summer 2025 An introduction to propositional and predicate logic; formalization of arguments, truth tables, systems of deduction, elementary metaresults, and related topics. | ||
- 1
Students cannot receive credit for both.
Unofficial "Teachable" Subject Area (15 credits)
15 credits of designated courses for Secondary Mathematics Option 2 students (English, Social Sciences, or Science and Technology - see an adviser for course selection)
Electives (6 credits)
Note: Students who have chosen to do 36 credits in one teachable subject and 15 credits in another will use 3 credits of electives to take the Secondary Teaching Methods course needed for their second unofficial teachable subject.