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MAF3007H - Strategic Business Reporting

This course is designed as equivalency for the Strategic Professional level of study within the ACCA. This course integrates and builds on past coursework to focus on students’ ability to make strategic business reporting decisions for a variety of stakeholders. Students are tested on concepts, theories, principles and their ability to apply knowledge to scenarios in a corporate reporting environment. The format of the course will be heavily based on and resemble the structure if the ACCA exam.

Credit Value (FCE): 0.50
Prerequisites: MAF1001H
Campus(es): Scarborough
Delivery Mode: In Class

MAF3008H - Strategic Business Leadership

This course is designed as equivalency for the Strategic Professional level of study within the ACCA. This course builds on previous coursework in governance, ethics, risk management, internal control, strategy and leadership to explore integrative executive decision-making in an international business context. The course mirrors the corporate workplace and requires the demonstration of a blend of technical, ethical and professional skills to make strategic, operating and other decisions. The format of the course will be heavily based on and resemble the structure of the ACCA exam.

Credit Value (FCE): 0.50
Prerequisites: MAF1002H
Campus(es): Scarborough
Delivery Mode: In Class

MAF4000H - Co-op Internship

The Co-op Internship is typically 12 weeks in length and involves work experience in an area directly related to the fields of Accounting or Finance with a reputable employer. After the Co-op Internship, candidates will be required to write a Co-op Internship report. In addition to this process, students will be asked to provide a one-hour seminar on how their work experience has enhanced their understanding of the materials covered in the MAcc.Fin. program.

Credit Value (FCE): 0.50
Prerequisites: Completion of 5.0 credits in the Master’s in Accounting and Finance Program
Campus(es): Scarborough
Delivery Mode: In Class

MAF4001H - Advanced Seminar in Accounting and Finance I: Work-Integrated Learning and Career Development

Together with MAF4002H, this course introduces students to major issues facing the accounting and financial industries. Experienced financial professionals from diverse backgrounds will speak about their experience in applying their knowledge to pressing issues relating past, present and future changes in the industry.

Students will complete independent and group assignments, which provide opportunities for MAccFin students to reach out to the larger community for information on innovative developments in their fields of interest, and thereby, acts as a networking vehicle. The course material provides opportunities to practice their professional writing, networking and public speaking, which are all important enabling skills to be successful in professional practice.

Credit Value (FCE): 0.00
Grading: Credit/No Credit
Enrolment Limits: 45
Campus(es): Scarborough
Delivery Mode: In Class

MAF4002H - Technical Update in Assurance and Taxation

Together with MAF4001H, this course introduces students to major issues facing the accounting and financial industries. Experienced financial professionals from diverse backgrounds will speak about their experience in applying their knowledge to pressing issues relating past, present and future changes in the industry.

Students will complete independent and group assignments, which provide opportunities for MAccFin students to reach out to the larger community for information on innovative developments in their fields of interest, and thereby, acts as a networking vehicle. The course material provides opportunities to practice their professional writing, networking and public speaking, which are all important enabling skills to be successful in professional practice.

Credit Value (FCE): 0.00
Grading: Credit/No Credit
Enrolment Limits: 45
Campus(es): Scarborough
Delivery Mode: In Class

MAF5001H - Technical Update in Financial and Management Accounting

This course provides an overview of key foundational knowledge in financial and managerial accounting concepts for MAccFin students. These concepts are critical for students and prepares them for Capstone 2 of the CPA program and the CFE exam. Topics reviewed in this course include key financial reporting standards under both IFRS and ASPE, key analytical tools under managerial accounting, key auditing standards and practices, as well as key concepts covered under the Income Tax Act. Students are required to understand these concepts thoroughly in order to able to integrate these concepts and apply them in a complex case analysis.

Credit Value (FCE): 0.00
Grading: Credit/No Credit
Enrolment Limits: 45
Campus(es): Scarborough
Delivery Mode: In Class

MAF5002H - Finance Capstone Course

This capstone course offers an applied approach to the topics covered in the finance courses offered in the program. The course links the learning outcomes of the MAccFin’s finance courses and its industry applications, and prepares the students to be successful in the CFA (Chartered Financial Analyst) examinations. It integrates financial topics including statistics, economics, accounting and others into a comprehensive review of financial concepts, teaching the student evaluate the financial health of businesses in a holistic way. The course is offered at the BRIDGE where students are trained to use specialized financial software to augment this experiential learning opportunity.

Credit Value (FCE): 0.00
Grading: Credit/No Credit
Enrolment Limits: 45
Campus(es): Scarborough
Delivery Mode: In Class

MAF5004H - Integrated Case Writing

This course offers an applied approach to all topics covered in the MAccFin program and allows students to develop the ability to apply and link the learning outcomes of the various accounting and finance courses to various business situations from a strategic and analytical perspective. Students will master the Chartered Professional Accountants’ (CPA) way of writing cases. The course also prepares students for successful completion of the CPA’s Capstone 2 and final CFE exam. The curriculum integrates topics including statistics, economics, finance, accounting, strategies, audit, tax and others into a comprehensive review of how these concepts support strategic business decisions, financial reporting, tax planning and audit practices, etc. The class work provides students hands on experience in analyzing different types of cases, from multi-subject to comprehensive strategic business decision cases and an understanding of the assessment framework under the CPA case writing requirement.

Credit Value (FCE): 0.00
Grading: Credit/No Credit
Enrolment Limits: 45
Campus(es): Scarborough
Delivery Mode: In Class

MAF5005H - Advanced Seminar in Accounting and Finance II

This professional development seminar course covers approaches to professional exam writing and allows students to practice demonstrating technical proficiency and case writing in Assurance, a component of the ACCA designation's four Strategic Professional exams. Note: This is a credit/non-credit course.

Credit Value (FCE): 0.00
Grading: Credit/No Credit
Prerequisites: MAF1003H
Campus(es): Scarborough
Delivery Mode: In Class

MAF5006H - Advanced Seminar in Accounting and Finance III

This professional development seminar course covers approaches to professional exam writing and allows students to practice demonstrating technical proficiency and case writing in Performance Management, a component of the ACCA designation's four Strategic Professional exams. Note: This is a credit/non-credit course.

Credit Value (FCE): 0.00
Grading: Credit/No Credit
Prerequisites: MAF1002H
Campus(es): Scarborough
Delivery Mode: In Class

MAF5007H - Advanced Seminar in Accounting and Finance IV

This seminar course covers approaches to professional exam writing and allows students to practice demonstrating technical proficiency and case writing in Financial Management, a component of the ACCA designation's four Strategic Professional exams. Note: This is a credit/non-credit course.

Credit Value (FCE): 0.00
Grading: Credit/No Credit
Prerequisites: MAF2002H, MAF2003H, MAF2006H, MAF2007H
Campus(es): Scarborough
Delivery Mode: In Class

MAT1000H - Real Analysis I

Measure Theory: Lebesque measure and integration, convergence theorems, Fubini's theorem, Lebesgue differentiation theorem, abstract measures, Caratheodory theorem, Radon-Nikodym theorem.

Functional Analysis: Hilbert spaces, orthonormal bases, Riesz representation theorem, compact operators, L^p-spaces, Holder and Minkowski inequalities.

Credit Value (FCE): 0.50
Campus(es): St. George
Delivery Mode: In Class

MAT1001H - Real Analysis II

Basic Functional Analysis: Banach spaces, Hilbert space, Hahn Banach theorem, open mapping theorem, closed graph theorem, uniform boundedness principle, Alaoglu's theorem, Frechet spaces.

Fourier Analysis: Fourier series and transforms, Fourier inversion and Plancherel formula, estimates and convergence results, more topological vector spaces, Schwartz space, distributions.

Spectral theory: spectral theorem for bounded self-adjoint operators, specializations to compact operators and/or extensions to unbounded operators, as time permits.

Credit Value (FCE): 0.50
Campus(es): St. George
Delivery Mode: In Class

MAT1002H - Complex Analysis

This course will cover a review of holomorphic and harmonic functions; topology of the space of holomorphic functions: series and infinite products, Weierstrass p-function, Weierstrass and Mittag-Leffler theorems; normal families: normal families and equicontinuity, theorems of Montel and Picard; conformal mappings: Riemann mapping theorem, Schwarz-Christoffel formula; Riemann surfaces: Riemann surface associated with an elliptic curve, inversion of an elliptic integral, Abel's theorem. Further topics may be included such as analytic continuation and monodromy theorem.

Credit Value (FCE): 0.50
Campus(es): St. George
Delivery Mode: In Class

MAT1005H - Fourier Analysis

The course will cover various topics in Fourier Analysis; topics will differ from year to year.

Credit Value (FCE): 0.50
Campus(es): St. George
Delivery Mode: In Class

MAT1006H - Topics in Real Analysis

The course will cover various topics in Real Analysis; topics will differ from year to year.

Credit Value (FCE): 0.50
Campus(es): St. George
Delivery Mode: In Class

MAT1007H - Topics in Complex Variables

The course will cover various topics in Complex Variables; topics will differ from year to year.

Credit Value (FCE): 0.50
Campus(es): St. George
Delivery Mode: In Class

MAT1011H - Introduction to Linear Operators

The course will survey the branch of mathematics developed (in its abstract form) primarily in the twentieth century and referred to variously as functional analysis, linear operators in Hilbert space, and operator algebras, among other names (for instance, more recently, to reflect the rapidly increasing scope of the subject, the phrase non-commutative geometry has been introduced). The intention will be to discuss a number of the topics in Pedersen's textbook Analysis Now. Students will be encouraged to lecture on some of the material, and also to work through some of the exercises in the textbook (or in the suggested reference books).

Credit Value (FCE): 0.50
Campus(es): St. George
Delivery Mode: In Class

MAT1016H - Operator Algebras

The theory of operator algebras was begun by John von Neumann eighty years ago. In one of the most important innovations of this theory, von Neumann and Murray introduced a notion of equivalence of projections in a self-adjoint algebra (*-algebra) of Hilbert space operators that was compatible with addition of orthogonal projections (also in matrix algebras over the algebra), and so gave rise to an abelian semigroup, now referred to as the Murray-von Neumann semigroup.

Later, Grothendieck in geometry, Atiyah and Hirzebruch in topology, and Serre in the setting of arbitrary rings (pertinent for instance for number theory), considered similar constructions. The enveloping group of the semigroup considered in each of these settings is now referred to as the K-group (Grothendieck's terminology), or as the Grothendieck group.

Among the many indications of the depth of this construction was the discovery of Atiyah and Hirzebruch that Bott periodicity could be expressed in a simple way using the K-group. Also, Atiyah and Singer famously showed that K-theory was important in connection with the Fredholm index. Partly because of these developments, K-theory very soon became important again in the theory of operator algebras. (And in turn, operator algebras became increasingly important in other branches of mathematics.)

The purpose of this course is to give a general, elementary, introduction to the ideas of K-theory in the operator algebra context. (Very briefly, K-theory generalizes the notion of dimension of a vector space.)

The course will begin with a description of the method (K-theoretical in spirit) used by Murray and von Neumann to give a rough initial classication of von Neumann algebras (into types I, II, and III). It will centre around the relatively recent use of K-theory to study Bratteli's approximately finite-dimensional C*-algebras---both to classify them (a result that can be formulated and proved purely algebraically), and to prove that the class of these C*-algebras — what Bratteli called AF algebras — is closed under passing to extensions (a result that uses the Bott periodicity feature of K-theory).

Students will be encouraged to prepare oral or written reports on various subjects related to the course, including basic theory and applications.

Credit Value (FCE): 0.50
Campus(es): St. George
Delivery Mode: In Class

MAT1034H - Topics in Harmonic Analysis

The course will cover various topics in Harmonic Analysis; topics will differ from year to year.

Credit Value (FCE): 0.50
Campus(es): St. George
Delivery Mode: In Class

MAT1045H - Topics in Ergodic Theory

The course will cover various topics in Ergodic Theory; topics will differ from year to year.

Credit Value (FCE): 0.50
Campus(es): St. George
Delivery Mode: In Class

MAT1060H - Partial Differential Equations I

This is a basic introduction to partial differential equations as they arise in physics, geometry and optimization. It is meant to be accessible to beginners with little or no prior knowledge of the field. It is also meant to introduce beautiful ideas and techniques which are part of most analysts' basic bag of tools. A key theme will be the development of techniques for studying non-smooth solutions to these equations.

Credit Value (FCE): 0.50
Campus(es): St. George
Delivery Mode: In Class

MAT1061H - Partial Differential Equations II

This course will consider a range of mostly nonlinear partial differential equations, including elliptic and parabolic PDE, as well as hyperbolic and other nonlinear wave equations. In order to study these equations, we will develop a variety of methods, including variational techniques, and fixed point theorems. One important theme will be the relationship between variational questions, such as critical Sobolev exponents, and issues related to nonlinear evolution equations, such as finite-time blowup of solutions and/or long-time asymptotics.

Credit Value (FCE): 0.50
Campus(es): St. George
Delivery Mode: In Class

MAT1062H - Topics in Partial Differential Equations I

The course will cover various topics in PDE; topics will differ from year to year.

Credit Value (FCE): 0.50
Campus(es): St. George
Delivery Mode: In Class

MAT1063H - Topics in Partial Differential Equations II

The course will cover an advanced topic in PDE; topics will differ from year to year.

Credit Value (FCE): 0.50
Campus(es): St. George
Delivery Mode: In Class

MAT1064H - Elliptic Boundary Value Problems on Nonsmooth Domains

Review of boundary value problems on smooth domains. Classical results on the singularities which arise near a corner in 2D. Straightening out corners by diffeomorphisms. Topics will vary every year.

Credit Value (FCE): 0.50
Campus(es): St. George
Delivery Mode: In Class

MAT1100H - Algebra I

Basic notions of linear algebra: brief recollection. The language of Hom spaces and the corresponding canonical isomorphisms. Tensor product of vector spaces.

Group Theory: Isomorphism theorems, group actions, Jordan-Hölder theorem, Sylow theorems, direct and semidirect products, finitely generated abelian groups, simple groups, symmetric groups, linear groups, nilpotent and solvable groups, generators and relations.

Ring Theory: Rings, ideals, Euclidean domains, principal ideal domains, and unique factorization domains.

Modules: Modules and algebras over a ring, tensor products, modules over a principal ideal domain.

Recommended prerequisites are a full year undergraduate course in Linear Algebra and one term of an introductory undergraduate course in higher algebra, covering, at least, basic group theory. While this material will be reviewed in the course, it will be done at "high speed," assuming that you have already some familiarity with the basics. You will be very well prepared indeed, if you have no difficulties reading and understanding the book, listed here under "Other References," M. Artin: Algebra that the author wrote for his undergraduate algebra courses at MIT.

Credit Value (FCE): 0.50
Campus(es): St. George
Delivery Mode: In Class

MAT1101H - Algebra II

Fields: Algebraic and transcendental extensions, normal and separable extensions, fundamental theorem of Galois Theory, solution of equations by radicals.

Commutative Rings: Noetherian rings, Hilbert basis theorem, invariant theory, Hilbert Nullstellensatz, primary decomposition, affine algebraic varieties. Structure of semisimple algebras, application to representation theory of finite groups.

Credit Value (FCE): 0.50
Campus(es): St. George
Delivery Mode: In Class

MAT1103H - Topics in Algebra I

The course will cover various topics in Algebra; topics will differ from year to year. Consult the departmental website for more details specific to annual offering.

Credit Value (FCE): 0.50
Campus(es): St. George
Delivery Mode: In Class

MAT1104H - Topics in Algebra II

The course will cover an advanced topic in Algebra; topics will differ from year to year.

Credit Value (FCE): 0.50
Campus(es): St. George
Delivery Mode: In Class