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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.

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.

With the increasing availability of powerful computers and software, 3D modeling and recording has become commonplace in archaeology, architectural history, museum studies, and other areas of cultural heritage research. In this course, students will learn about a powerful new method for 3D recording known as photogrammetry. After a series of tutorials, they will gain firsthand experience creating their own models of various subjects, such as historical architecture and public art in Toronto, and museum objects on campus. They will also learn how to analyze and present 3D content, while thinking critically about the impact of how digital tools are currently being employed by and shaping the agendas of researchers in archaeology, art history, and related fields.

Unique opportunity to explore a particular archaeological topic in-depth. Topics vary from year to year.

Taught by an advanced PhD student or postdoctoral fellow, and based on his or her doctoral research and area of expertise, this course presents a unique opportunity to explore intensively a particular Archaeology topic in-depth. Topics vary from year to year.

Laboratory or practical research on an archaeological project that emphasizes methods and research design in archaeology. Students must obtain the consent of a Supervisor before enrolling. Students are required to give an oral presentation of research results to an open meeting of the Archaeology Centre at the conclusion of the course. Application must be made to the Anthropology Department. 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.

Our place in the Universe. Phenomena we see in the sky. What we know about the Sun, the planets and comets, and the formation of the solar system – and how we know it. What makes planets suitable for life. Finding out about the nearest stars and their planets. This course is intended for students with no science or engineering background.

The origin of the Universe and all that it contains, from the chemical elements, stars and galaxies, and life. The course is intended for students who are enrolling in science and engineering courses.

There are some fundamental questions which humankind has asked itself over the centuries. Many of these involve astronomical origins, events, and objects. Astronomers now have the tools with which to attempt to answer some of the most fundamental questions, such as "Where did it all begin, where are we in space and time, are we alone, and who and what are we?" This seminar will explore some of these great issues. The selection of topics will be made initially by the instructor, but will be modified by the seminar participants at the first class meeting. Topics could include: stellar evolution and the future of the Sun, origin of the elements, origin and future of the Universe, origin of the Earth, origin of life, and extinction of the dinosaurs, global warming, the scientific method, astronomy and the public. Participants will be expected to join actively in lively discussions and to prepare and lead some of the seminars. Restricted to first-year students. Not eligible for CR/NCR option.

This seminar series aims at building up general scientific literacy, by discussing selected topics in current astronomy, cosmology, and space science. We will delve into the physical foundation behind the questions being asked and how the answers are being sought. Students will have an opportunity early in the course to select topics of particular interest to them and this will govern the choice of readings as well. Topics could include: formation of stars; lives and deaths of stars; stellar corpses: white dwarfs, neutron stars, and black holes; planets around other stars; recent results from Hubble and other telescopes; architecture of the solar system; exploration in the solar system; the invisible universe: dark energy and dark matter; first light; formation of galaxies; the age and future of the universe. Participants should be comfortable with basic mathematics and quantitative reasoning. Students will be expected to do independent research for essays, presentations, etc. Restricted to first-year students. Not eligible for CR/NCR option.

What we know about the properties and life cycles of stars, of galaxies, and of the Universe itself – and how we know it. How astronomers develop methods for understanding phenomena that span such vast ranges in distance and time. This course is intended for students with no science or engineering background.

From the Copernican Revolution to twentieth century astrophysics. Emphasis is placed on the process of discovery which has led to major advances in knowledge about the Universe. The course includes an outline of some of the most significant puzzles of our day and an examination of the potential for new revolutions in our knowledge. This course is best suited to science students.

The (astro)physics of stars and planets, their observed variety, their structure, formation and evolution. Introduction to telescopes and instrumentation.

The (astro)physics of stellar systems, galaxies, and the Universe, their structure, formation, and evolution.

Scholarly discussion of the probability that there are planets with life elsewhere in the universe, from the perspective of current ideas concerning the origin and evolution of the universe, the solar system and life. Search techniques and possibilities for interstellar travel and space colonies are discussed.

Credit course for supervised participation in faculty research project. Details at https://www.artsci.utoronto.ca/current/academics/research-opportunities/research-opportunities-program . Not eligible for CR/NCR option.

A hands-on introduction to telescopes and observational astronomy for students with little experience in the physical sciences. Through laboratory exercises and observations of the sky, students will learn the techniques that have enabled the major discoveries of modern astronomy, from the expansion of the universe to the existence of Earth-like planets orbiting other stars. Hands-on activities will teach how telescopes work and how we can measure the distances, motion, and chemical composition of celestial objects. Basic arithmetic is used, but no advanced mathematics. This course is intended for students without a formal science background to gain experience with hands-on observational astronomy.

An in-depth exploration of astronomy, the Solar System, and the night sky through the lens of Indigenous knowledges, primarily that of Indigenous peoples from Turtle Island. Indigenous peoples have lived on Turtle Island since time immemorial and have a sophisticated relationship with the night sky that is influenced by their worldviews and their relationships with the land. In this course, students will learn about Indigenous perspectives for understanding nature and astronomy and learn to understand astronomy through these perspectives. Students will also learn about the intersection of western astronomy and ongoing colonization to understand the responsibilities of western astronomers for respecting treaties and Indigenous rights as well as presenting an Indigenous lens regarding space exploration.