This course is an opportunity to apply acquired knowledge in anthropology or archeology in a work placement environment. Opportunities may include local community organizations, international development organizations, museum or heritage projects, or media production projects. Only internships that require knowledge and skills in anthropology and/or archeology will be considered. Student must fulfill responsibilities of the internship as well as complete a final research paper. If qualified, the student’s internship supervisor will mark the final paper for the course; if not, an appropriate academic supervisor will be assigned from within the Dept. of Anthropology. Restricted to students in a Specialist or Major program in Anthropology. Not eligible for CR/NCR option. Instructions on how to obtain an application form are posted on the following website: https://www.anthropology.utoronto.ca/undergraduate. The application form should be submitted at least one week prior to the beginning of classes.

This course is an opportunity to apply acquired knowledge in anthropology or archeology in a work placement environment. Opportunities may include local community organizations, international development organizations, museum or heritage projects, or media production projects. Only internships that require knowledge and skills in anthropology and/or archeology will be considered. Student must fulfill responsibilities of the internship as well as complete a final research paper. If qualified, the student’s internship supervisor will mark the final paper for the course; if not, an appropriate academic supervisor will be assigned from within the Dept. of Anthropology. Restricted to students in a Specialist or Major program in Anthropology. Not eligible for CR/NCR option. Instructions on how to obtain an application form are posted on the following website: https://www.anthropology.utoronto.ca/undergraduate. The application form should be submitted at least one week prior to the beginning of classes.

Supervised independent research on a topic agreed on by the student and supervisor before enrolment in the course. Open in exceptional circumstances to advanced students with a strong background in Anthropology. Course Supervisor must be a member of the Anthropology faculty. A maximum of one year of Independent Research courses is allowed per program. Not eligible for CR/NCR option. Instructions on how to obtain an application form are posted on the following website: https://www.anthropology.utoronto.ca/undergraduate. The application form should be submitted at least one week prior to the beginning of classes.

Supervised independent research on a topic agreed on by the student and supervisor before enrolment in the course. Open in exceptional circumstances to advanced students with a strong background in Anthropology. Course Supervisor must be a member of the Anthropology faculty. A maximum of one year of Independent Research courses is allowed per program. Not eligible for CR/NCR option. Instructions on how to obtain an application form are posted on the following website: https://www.anthropology.utoronto.ca/undergraduate. The application form should be submitted at least one week prior to the beginning of classes.

Supervised independent research on a topic agreed on by the student and supervisor before enrolment in the course. Open in exceptional circumstances to advanced students with a strong background in Anthropology. Course Supervisor must be a member of the Anthropology faculty. A maximum of one year of Independent Research courses is allowed per program. Not eligible for CR/NCR option. Instructions on how to obtain an application form are posted on the following website: https://www.anthropology.utoronto.ca/undergraduate. The application form should be submitted at least one week prior to the beginning of classes.

Introduction to linear programming including a rapid review of linear algebra (row reduction, matrix inversion, linear independence), the simplex method with applications, the duality theorem, complementary slackness, the dual simplex method and the revised simplex method.

This course examines the relationship between legal reasoning and mathematical logic; provides a mathematical perspective on the legal treatment of interest and actuarial present value; critiques ethical issues; analyzes how search engine techniques on massive databases transform legal research and considers the impact of statistical analysis and game theory on litigation strategies.

NOTE

This course counts as 0.5 credit in BR=3 and 0.5 credit in BR=5.

This course will only contribute 0.5 credit to the Math Minor program.

Sturm-Liouville problems, Green's functions, special functions (Bessel, Legendre), partial differential equations of second order, separation of variables, integral equations, Fourier transform, stationary phase method.

An overview of mathematical modelling. A variety of approaches for representing physical situations mathematically followed by analytical techniques and numerical simulations to gain insight. Questions from biology, economics, engineering, medicine, physics, physiology, and the social sciences formulated as problems in optimization, differential equations, and probability. Precise content varies with instructor.

Independent study under the direction of a faculty member. Topic must be outside undergraduate offerings. Similar workload to a 36L course. Not eligible for CR/NCR option.

This course requires an application. Completed applications for this course are due to the Math Undergraduate Program Office no later than the third day of the term that the reading course will start.

Key concepts and mathematical structure of Quantum Mechanics, with applications to topics of current interest such as quantum information theory. The core part of the course covers the following topics: Schroedinger equation, quantum observables, spectrum and evolution, motion in electro-magnetic field, angular momentum and O(3) and SU(2) groups, spin and statistics, semi-classical asymptotics, perturbation theory. More advanced topics may include: adiabatic theory and geometrical phases, Hartree-Fock theory, Bose-Einstein condensation, the second quantization, density matrix and quantum statistics, open systems and Lindblad evolution, quantum entropy, quantum channels, quantum Shannon theorems.

Joint undergraduate/graduate course - APM421H1/MAT1723H

Einstein's theory of gravity. Special relativity and the geometry of Lorentz manifolds. Gravity as a manifestation of spacetime curvature. Einstein's equations. Cosmological implications: big bang and inflationary universe. Schwarzschild stars: bending of light and perihelion precession of Mercury. Topics from black hole dynamics and gravitational waves. The Penrose singularity theorem.

Joint undergraduate/graduate course - APM426H1/MAT1700H

Asymptotic series. Asymptotic methods for integrals: stationary phase and steepest descent. Regular perturbations for algebraic and differential equations. Singular perturbation methods for ordinary differential equations: W.K.B., strained co-ordinates, matched asymptotics, multiple scales. (Emphasizes techniques; problems drawn from physics and engineering)

Partial differential equations appearing in physics, material sciences, biology, geometry, and engineering. Nonlinear evolution equations. Existence and long-time behaviour of solutions. Existence of static, traveling wave, self-similar, topological and localized solutions. Stability. Formation of singularities and pattern formation. Fixed point theorems, spectral analysis, bifurcation theory. Equations considered in this course may include: Allen-Cahn equation (material science), Ginzburg-Landau equation (condensed matter physics), Cahn-Hilliard (material science, biology), nonlinear Schroedinger equation (quantum and plasma physics, water waves, etc). mean curvature flow (geometry, material sciences), Fisher-Kolmogorov-Petrovskii-Piskunov (combustion theory, biology), Keller-Segel equations (biology), and Chern-Simons equations (particle and condensed matter physics).

Joint undergraduate/graduate course - APM446H1/MAT1508H

A selection of topics from such areas as graph theory, combinatorial algorithms, enumeration, construction of combinatorial identities.

Joint undergraduate/graduate course - APM461H1/MAT1302H

An introduction to first and second order conditions for finite and infinite dimensional optimization problems with mention of available software. Topics include Lagrange multipliers, Kuhn-Tucker conditions, convexity and calculus of variations. Basic numerical search methods and software packages which implement them will be discussed.

Introduction to the basic mathematical techniques in pricing theory and risk management: Stochastic calculus, single-period finance, financial derivatives (tree-approximation and Black-Scholes model for equity derivatives, American derivatives, numerical methods, lattice models for interest-rate derivatives), value at risk, credit risk, portfolio theory.

Joint undergraduate/graduate course - APM466H1/MAT1856H

Independent study under the direction of a faculty member. Topic must be outside current undergraduate offerings. Similar workload to a course that has 36 lecture hours. Not eligible for CR/NCR option.

Completed applications for this course are due to the Math Undergraduate Program Office no later than the third day of the term that the reading course will start.

Archaeology entails an active process of uncovering evidence for and learning about aspects of the human past. The goal of this course is to involve students in current archaeological practice, including its socio-political context, and the global structure of the human experience from human evolution through cities and empires. Students will critically engage with ideas both within and outside the discipline on working with descendant communities, stewardship, ethical practice, and the relevance of archaeology to contemporary issues from climate change to social inequality. This course can serve as an introduction for students planning to pursue an archaeology program or as an opportunity to engage with a fascinating topic that is relevant to disciplines ranging from science to humanities.

This course explores ways that archaeologists investigate research questions and interpret archaeological evidence. It introduces some of the main conceptual tools that archaeologists use to make inferences, including analogy, ethnoarchaeology, and experimental archaeology. It also uses practical exercises to help students understand the basic logic of some of the methods that archaeologists use in their research, such as dating methods and identification of spatial patterns. This prepares students for more advanced courses in archaeology.

Intensive instruction in archaeological field methods and acquisition of field skills, including archaeological search and survey, site mapping, laying out excavation grids, use of theodolites, total station, and GPS, stratigraphic excavation, stratigraphy, field recording, screening sediment, Ontario license and reporting requirements. Normally this course would take place on campus in the summer. This course has a mandatory Lab Materials Fee of $25 to cover non-reusable materials. The fee will be included on the student’s ACORN invoice. The details and application form are posted on the following website: https://www.anthropology.utoronto.ca/undergraduate/curriculum-course-information/field-schools-and-research-opportunities. The application form should be submitted at least one week prior to the beginning of classes.

An analysis of ethics in contemporary archaeology that covers reburial and repatriation, interpretation of the archaeological record in the context of historically oppressed groups, ethnic minorities, and non-western societies, the ethics of collecting and managing cultural property, relationships with the media, the debates surrounding looting, and other issues.

Techniques for making archaeological data meaningful after excavation or survey. Archaeological measurements, compilation of data, database design, archaeological systematics, and sampling theory in the context of lithics, pottery, floral, faunal and other archaeological remains.

From earliest times through the rise of complex hunter-gatherers, and the food producing revolution to politically complex societies in Southwest Asia.

Opportunity for students participating in non-degree credit archaeological digs to submit reports, field notes and term papers for degree credit. Not eligible for CR/NCR option. Instructions on how to obtain an application form are posted on the following website: https://www.anthropology.utoronto.ca/undergraduate. The application form should be submitted at least one week prior to the beginning of classes.

Opportunity for students participating in non-degree credit archaeological digs to submit reports, field notes and term papers for degree credit. Not eligible for CR/NCR option. Instructions on how to obtain an application form are posted on the following website: https://www.anthropology.utoronto.ca/undergraduate. The application form should be submitted at least one week prior to the beginning of classes.

An instructor-supervised group project in an off-campus setting. Details at https://www.artsci.utoronto.ca/current/academics/research-opportunities/research-excursions-program. Not eligible for CR/NCR option.

An instructor-supervised group project in an off-campus setting. Details at https://www.artsci.utoronto.ca/current/academics/research-opportunities/research-excursions-program. Not eligible for CR/NCR option.