Vector and matrix algebra, determinants, linear systems of equations, vector spaces, eigenvalues and eigenvectors, applications. Prerequisite: Mathematics 30-1.

Functions and graphs. Functions as mathematical models. The derivative as a rate of variation. Differentiation of elementary, trigonometric, exponential, and logarithmic functions. The definite integral as total accumulation. Integration. The Fundamental Theorem of Calculus. Optimization. Applications in the context of business and economics. Prerequisite: Math 30-1 or Math 30-2. Credit may be obtained in only one of AUMAT 116 and AUMAT 154.

Infinite series, plane curves, polar coordinates, vectors and three-dimensional analytic geometry, cylindrical and spherical coordinates, elements of linear differential equations. Prerequisite: AUMAT 112.

Functions of several variables, partial derivatives, integration in two and three dimensions, vector functions, space curves, arc length, line integrals, Green's theorem, surface integrals, Stokes' theorem, the divergence theorem. Prerequisite: AUMAT 211.

Further foundational topics in calculus, including: limits of sequences and functions, infinite series (including Taylor and Fourier series) and multi-variable differential calculus. Prerequisites AUMAT 110 or 116, and AUMAT 120.

Groups as a measure of symmetry. Groups of rigid motions. Frieze groups, and finite groups in two and three dimensions. Groups of matrices. Group actions with application to counting problems. Permutation groups. Subgroups, cosets, and Lagrange's Theorem. Quotient groups and homomorphisms. Prerequisites: AUMAT 120 and one of 110 or 116.

Mathematical analysis of problems arising in economics and finance, including an introduction to economic modelling; simple, compound, and continuous rates of interest; static and comparative-static analysis; optimization; annuities, mortgages, bonds, and other securities; and dynamics. Prerequisites: AUECO 101 and one of AUMAT 110 or 116. Note: Credit may be obtained for only one of AUMAT 235, AUECO 206, AUMGT 206.

Computational methods and software packages and libraries in the mathematical sciences with applications to differentiation and integrations, data fitting, nonlinear systems and differential equations. Prerequisites: AUCSC 111 or AUCSC 113 (2023), and AUMAT 110 or 116; or consent of the instructor. Corequisite: AUMAT 120. Note: Credit may be obtained for only one of AUMAT 240, AUSCI 250 (2023), AUMAT 340 (2020), AUCSC 340 (2020), or AUPHY 340 (2020).

Sets, functions, elementary propositional and predicate logic, Boolean algebra, elementary graph theory, proof techniques (including induction and contradiction), and combinatorics. Prerequisites: AUMAT 110 or 116, and 120.

Axiomatic systems and finite geometries; neutral geometry and the various parallel postulates, leading to Euclidean and hyperbolic geometry; constructions; isometries of the plane and groups of transformations, and inversions in circles; models for Euclidean and hyperbolic geometry; applications. Prerequisite: AUMAT 120 or consent of the instructor.

Complex numbers, functions of a complex variable, analytic functions, Cauchy and related theorems, Taylor and Laurent expansions, the residue calculus and applications, harmonic functions, conformal mapping, applications. Prerequisite: AUMAT 212.

Senior topics in calculus and mathematical methods in physics. Topics include: coordinate systems; applications of single integrals; multiple integrals and applications; vector analysis; ordinary differential equations; partial differential equations; complex numbers. Prerequisites: AUMAT 216.

Computational problems in linear algebra, including linear systems and least squares and eigenvalues problems, with matrix factorizations as a main tool for tackling these problems. Prerequisites: AUMAT 240 or AUSCI 250 (2023).

Introduction to cryptography in theory and practice, including its applications and mathematical foundations. Topics include classical cryptosystems, private-key cryptosystems (including DES and AES), hashing and public-key cryptosystems (including RSA), digital signatures, selected topics in cryptography. Prerequisite: AUMAT 250 and one of AUMAT 240 or AUSCI 250 (2023).

First- and higher-order equations; methods of solution, including complex variable techniques; series solutions; elementary transform techniques; oscillation theory; applications to biology and physics. Prerequisite: AUMAT 120, 211.

Fundamental concepts of discrete and continuous dynamical systems, both linear and nonlinear; nonlinear differential equations; deterministic, nondeterministic, and chaotic dynamics; strange attractors and fractals. Applications in ecology, biology and physics. Prerequisites: AUMAT 216.

Introduction to optimization (definition, notation and taxonomy); unconstrained optimization using gradient descent and stochastic gradient descent; linear programming: The Simplex Method; constrained optimization and Lagrange multipliers; convex optimization and quadratic programming. Prerequisites: AUMAT 216 and one of AUMAT 240 or AUSCI 250 (2023).

Introduction to elementary probability theory and stochastic processes with a special emphasis on their applications in science. Topics include basics of probability, random variables, functions of random variables, random vectors, random processes and their classification, well-known random processes including the Bernoulli process, random walk process, Gaussian process, Poisson process, and Markov process. Prerequisite: AUMAT 250.

Intensive study of a specific mathematical problem or other area of mathematics as defined by the student and a supervising instructor. Notes: Admission to AUMAT 395 normally requires a minimum GPA of 3.0 on the major in Mathematics and Physics. An Application for Individual Study must be completed and approved before registration in the course.

Integrated history of mathematics and physics, emphasizing the scientific revolution and the subsequent development of mathematics and physics as distinct disciplines. Prerequisite: AUMAT 211 and one of AUMAT 220, 229, 250. Note: Credit may be obtained for only one of AUMAT 480 or AUPHY 480.

Intensive study of a specific problem or area of mathematics as defined by the student and a supervising instructor. Prerequisite: Fourth-year standing. Notes: Admission to AUMAT 495 normally requires a minimum GPA of 3.0 on the major in Mathematics and Physics. An Application for Individual Study must be completed and approved before registration in the course.

Survey of the competitive landscape of Canadian and Global businesses to provide students with the basic information about the different facets of business organizations.

Introduction to the basic concepts of management. Topics include the origins of management, functional areas of management, levels of management structure, relationship between structure and function of the organization. Prerequisite: AUMGT 100.

Mathematical analysis of problems arising in economics and finance, including an introduction to economic modelling, simple, compound, and continuous rates of interest; statics and comparative-static analysis; optimization; annuities, mortgages, bonds, and other securities; dynamics. Prerequisites: AUECO 101 and one of AUMAT 110 or 116. Note: Credit may be obtained for only one of AUMGT 206, AUECO 206, AUMAT 235.

Introduction to the institutional environment of corporate finance. Topics include corporate financial analysis, planning and control, management of assets, time value of money, capital budgeting; short, medium, and long term financing; mergers, and reorganization/acquisitions. Prerequisites: AUSTA 153, AUACC 311 and AUMGT 200.

Examines aspects of business/commercial law as it relates to business. Principles of law and its application to typical business situations are discussed. Prerequisites: AUMGT 200.

Exploration of various patterns of internal organization in industries, focusing on the relations among the structure, conduct, and performance of the industries. Prerequisite: AUECO 101.

Introduction to the theory of marketing and its practice. The role of marketing within the business environment is discussed. Topics include the product design and management, national and international marketing strategies, consumer behaviour, product distribution and pricing, and market research. Prerequisites: AUMGT 200.

Study of individuals and groups in an organizational setting. The course will help the student develop an understanding of the organizational behaviour concepts and the interaction between individual determinants of behaviour and group dynamics. Prerequisite: AUMGT 200.

This course provides students with a basis for understanding and critically examining complex organizations in contemporary society. Interrelationships among the social, cultural and formal properties of organizations are examined and linked to contextual forces in the external environment. Emphasis will be placed on the analysis of organizational systems for the purpose of improving the integration, adaptation, survival and effectiveness of modern organizations. Prerequisites: AUMGT 200.

This course provides business students with an overview of various topics related to starting a small business, from satisfying specific societal needs to properly designing an organization to fit its external stakeholder pressures. Concepts, theories and methods will be addressed in order to prepare an effective, comprehensive and detailed business plan. Prerequisites: AUMGT 200.

Examination of the cultural and business aspects of the sport of hockey, historically and in the present. The course explores such topics as fan identities, cultural memory and tradition, race and ethnicity, gender and youth culture, labour relations and free agency, salary caps and revenue sharing, minor hockey, audiences and the mass media, fighting and violence, league expansion and franchise relocations, and arena construction. Prerequisites: AUMGT 200 or consent of the instructor, third-year standing. Note: Credit may be obtained for only one of AUMGT 360 and AUPED 360.

This course introduces students to the importance of valuable information, since information - for decisionmakers in organizations - is often the most pertinent element in achieving and maintaining competitive advantage. In addition to decisionmaking, this course will also focus on how scientific knowledge can be generated from an organizational context to help scientists understand the changing dynamics of modern organizations. Prerequisites: AUMGT 200, AUSTA 153 or consent of the instructor.

This course covers selected topics in Management. Topics may vary from year to year depending on the instructor and student interest. Prerequisites: AUMGT 200 or consent of instructor. Notes: Minimum third year standing.

This course covers selected topics in Management. Topics may vary from year to year depending on the instructor and student interest. Prerequisites: AUMGT 200 or consent of instructor. Notes: Minimum third year standing.

Students will combine work experience with academic study through the development and completion of an internship program related to management. As part of the internship, students are required to complete a major project related to their work. Prerequisites: AUMGT 200, third year standing and consent of the instructor.

Students will combine work experience with academic study through the development and completion of an internship program related to management. As part of the internship, students are required to complete a major project related to their work. Prerequisites: AUMGT 200, third year standing and consent of the instructor.

Capstone course for the Bachelor of Management program. The course helps the student develop overall directions of an organization and mobilize human and other resources to accomplish strategic goals. The skills, concepts, and tools learned in various courses form the framework for making strategic decision. Prerequisite: Completion of all other courses in the Management Foundations, or consent of program adviser. Notes: Open only to a student in the Bachelor of Management Program.

Fundamentals of music, including notation, rudiments, and elementary harmonic progressions. Prerequisite: Completion of the Music Theory Placement Examination (MTPE) or consent of the instructor. Notes: The course is not open to a student scoring 70% or more on the MTPE. The course does not count toward any major, or minor in Music.

Performance of choral music for mixed choir, including required participation in a performance tour which may follow the winter term. Prerequisite: Consent of Instructor based on audition. Notes: a 1.5 unit course over the winter term. Requires payment of additional student instructional support fees. Refer to the Tuition and Fees page in the University Regulations section of the Calendar.

Performance of choral music for mixed choir, including required participation in a performance tour which may follow the winter term. Prerequisite: Consent of the instructor, based on audition. Notes: Not open to a part-time student who has less than one year of the degree program completed. A 3 unit course over the full year. Requires payment of additional student instructional support fees. Refer to the Tuition and Fees page in the University Regulations section of the Calendar.

Performance of choral music for mixed choir, including required participation in a performance tour which may follow the winter term. Prerequisite: Consent of the instructor, based on audition. Notes: Not open to a part-time student who has less than one year of the degree program completed. A 3 unit course over the full year. Requires payment of additional student instructional support fees. Refer to the Tuition and Fees page in the University Regulations section of the Calendar.

Performance of choral music. Prerequisite: Consent of Instructor. Notes: a 1 unit course over the fall term. The course does not require participation in a performance tour. Requires payment of additional student instructional support fees. Refer to the Tuition and Fees page in the University Regulations section of the Calendar.

Performance of choral music. Prerequisite: Consent of the instructor. Notes: A 1 unit course over the winter term. The course does not require participation in a performance tour. Requires payment of additional student instructional support fees. Refer to the Tuition and Fees page in the University Regulations section of the Calendar.

Performance of choral music in an inclusion choir context. Note: the course does not require participation in a performance tour.

Performance of choral music in an inclusion choir context. Prerequisites: Consent of the instructor. Note: a 1 unit course over either term. The course does not require participation in a performance tour.

Includes participation in all scheduled concert events. Prerequisite: Consent of the Department. Notes: An Application for Instrumental Ensemble Studies must be completed and approved before registration in the course. A 2 unit course over the full year.

Includes participation in all scheduled concert events. Prerequisite: Consent of the Department. Notes: An Application for Instrumental Ensemble Studies must be completed and approved before registration in the course. A 2 unit course over the full year.

Study of common-practice harmony: scales and modes, intervals, triads, figured bass, cadences, phrases, periods, sentences, nonharmonic tones, harmonic progression and rhythm, part-writing, seventh chords, diatonic modulation, playing simple harmonic progression formulae on piano. Prerequisites: AUMUS 100 or a score higher than 70% in the Music Theory Placement Examination (MTPE), and completion of the Keyboard Skills Interview (KSI).

Development of listening, reading, and keyboard skills integral to the internalization of concepts covered in AUMUS 160. Prerequisites: AUMUS 100 or a score higher than 70% in the Music Theory Placement Examination (MTPE), and completion of the Keyboard Skills Interview (KSI).

Development of listening approaches and techniques for understanding and appreciating a variety of Western and non-Western music, and an examination of the ideologies that prompt the sampling of such music. Music studied includes Western art music, African music, First Nations music, North Indian music, and popular music.

Fundamental performance skills for those with little or no training, with possible areas of study in voice, piano, guitar, brass, woodwinds and strings. A weekly group lesson offered over two terms. Note: Students should consult the Department before registering.

Fundamental performance skills for those with little or no training, with possible areas of study in voice, piano, guitar, brass, woodwinds and strings. A weekly group lesson offered over two terms. Note: Students should consult the Department before registering.

Fundamental performance skills for those with little or no training, with possible areas of study in voice, piano, guitar, brass, woodwinds and strings. A weekly group lesson offered over two terms. Note: Students should consult the Department before registering.

Private lessons in instrument or voice; a half-hour weekly lesson over one term. Prerequisite: Consent of the Department. Note: A student should consult the Department before registering.

Private lessons in instrument or voice; a half-hour weekly lesson over two terms.

Private lessons in instrument or voice; a half-hour weekly lesson over two terms.

Private lessons in instrument or voice; a three-quarter- hour weekly lesson over one term. Prerequisite: Consent of the Department. Note: A student should consult the Department before registering.

Private lessons in instrument or voice; a three-quarter-hour weekly lesson over two terms. Prerequisite: Consent of the Department. Note: A student should consult the Department before registering.

Private lessons in instrument or voice; a three-quarter-hour weekly lesson over two terms. Prerequisite: Consent of the Department. Note: A student should consult the Department before registering.

Private lessons in instrument or voice; a one-hour weekly lesson over one term. Prerequisite: Consent of the Department. Note: A student should consult the Department before registering.

Private lessons in instrument or voice; a one-hour weekly lesson over two terms. Prerequisite: Consent of the Department. Note: A student should consult the Department before registering.

Private lessons in instrument or voice; a one-hour weekly lesson over two terms. Prerequisite: Consent of the Department. Note: A student should consult the Department before registering.

Private lessons in instrument or voice; a one-hour weekly lesson in the fall term for a student exhibiting advanced abilities in music performance. Participation in group master classes is required. Prerequisite: Consent of the Department. Notes: A student should consult the Department before registering. The following courses must be taken in consecutive fall/winter terms: AUMUS 196 and 197.

Private lessons in instrument or voice; a one-hour weekly lesson in the winter term for a student exhibiting advanced abilities in music performance. Participation in group master classes is required. Prerequisite: Consent of the Department. Notes: A student should consult the Department before registering. The following courses must be taken in consecutive fall/winter terms: AUMUS 196 and 197.

A selected topics course in music that may focus on a range of possible areas of study, from performance to musicology to conducting. This course may also include a tour component. Prerequisite(s): AUMUS 170 or permission of the instructor.

Study of Western European art music from the ancient Greeks to the late Baroque period, in the context of general cultural history.

Study of western European art music from the mid-18th century to the 20th century, in the context of general cultural history.

An examination of the use of music in film, television, and video games, with an emphasis on semiotic analysis and the historical development of the aesthetics and technologies of linking music to moving images.

A study of the International Phonetic Alphabet, anatomy and physiology of basic phonetics, and accepted principles of lyric diction as they apply to the four languages most commonly used in concert and operatic repertoire: French, German, Italian and English. Corequisite: An AUMUS Applied Music - Vocal course.

Fundamental conducting techniques as applied to instrumental and vocal music. Prerequisite: AUMUS 160 and 162, or consent of the instructor.

Introduction to choral techniques, interpretation, and choral literature. Prerequisite: AUMUS 235 or consent of the instructor.

Principles, methods, and techniques for teaching piano with a survey of various pedagogical schools of thought. Prerequisite: AUMUS 160 or consent of the instructor.

An in-depth examination of the development, training, and phenomenon of the child voice from historical, physiological, pedagogical, and cultural perspectives. Note: Credit may be obtained for only one of AUMUS 239 and AUMUS 252 (2023).

Performance of choral music for mixed choir, including required participation in a performance tour which may follow the winter term. Prerequisite: Consent of Instructor based on audition. Notes: a 1.5 unit course over the winter term. Requires payment of additional student instructional support fees. Refer to the Tuition and Fees page in the University Regulations section of the Calendar.

Performance of choral music for mixed choir, including required participation in a performance tour which may follow the winter term. Prerequisite: Consent of the instructor, based on audition. Notes: Not open to a part-time student who has less than one year of the degree program completed. A 3 unit course over the full year. Requires payment of additional student instructional support fees. Refer to the Tuition and Fees page in the University Regulations section of the Calendar.

Performance of choral music for mixed choir, including required participation in a performance tour which may follow the winter term. Prerequisite: Consent of the instructor, based on audition. Notes: Not open to a part-time student who has less than one year of the degree program completed. A 3 unit course over the full year. Requires payment of additional student instructional support fees. Refer to the Tuition and Fees page in the University Regulations section of the Calendar.

Performance of choral music. Prerequisite: Consent of Instructor. Notes: a 1 unit course over the fall term. The course does not require participation in a performance tour. Requires payment of additional student instructional support fees. Refer to the Tuition and Fees page in the University Regulations section of the Calendar.

Performance of choral music. Prerequisite: Consent of the instructor. Notes: A 1 unit course over the winter term. The course does not require participation in a performance tour. Requires payment of additional student instructional support fees. Refer to the Tuition and Fees page in the University Regulations section of the Calendar.

Performance of choral music in an inclusion choir context. Note: the course does not require participation in a performance tour.

Performance of choral music in an inclusion choir context. Prerequisites: Consent of the instructor. Note: a 1 unit course over either term. The course does not require participation in a performance tour.

Includes participation in all scheduled concert events. Prerequisite: Consent of the Department. Notes: An Application for Instrumental Ensemble Studies must be completed and approved before registration in the course. A 2 unit course over the full year.

Includes participation in all scheduled concert events. Prerequisite: Consent of the Department. Notes: An Application for Instrumental Ensemble Studies must be completed and approved before registration in the course. A 2 unit course over the full year.

A foundational course in the theory and practice of music pedagogy in a variety of contexts from classroom to studio.

Continuation of the study of common-practice harmony, including secondary dominants, borrowed chords, chromatic and enharmonic modulations, extended chords, augmented sixths, playing harmonic progression formulae on piano and large-scale formal analysis. Prerequisite: AUMUS 160 and AUMUS 162.

Development of listening, reading, and keyboard skills integral to the internalization of concepts covered in AUMUS 260. Prerequisite: AUMUS 160 and AUMUS 162.

Exploration, through written exercises and assignments, of the development of compositional systems, processes, and techniques related to twentieth-century musical idioms. Prerequisite: AUMUS 160 or consent of the instructor. Note: A 3 unit course offered over the full year.

Exploration, through written exercises and assignments, of the development of compositional systems, processes, and techniques related to twentieth-century musical idioms. Prerequisite: AUMUS 160 or consent of the instructor. Note: A 3 unit course offered over the full year.

Fundamental performance skills for those with little or no training, with possible areas of study in voice, piano, guitar, brass, woodwinds and strings. A weekly group lesson offered over two terms. Prerequisite: AUMUS 187 or consent of the Department. Note: A student should consult the Department before registering.

Fundamental performance skills for those with little or no training, with possible areas of study in voice, piano, guitar, brass, woodwinds and strings. A weekly group lesson offered over two terms. Prerequisite: AUMUS 187 or consent of the Department. Note: A student should consult the Department before registering.

Fundamental performance skills for those with little or no training, with possible areas of study in voice, piano, guitar, brass, woodwinds and strings. A weekly group lesson offered over two terms. Prerequisite: AUMUS 187 or consent of the Department. Note: A student should consult the Department before registering.

Private lessons in instrument or voice; a half-hour weekly lesson over one term. Prerequisite: Consent of the Department. Note: A student should consult the Department before registering.

Private lessons in instrument or voice; a half-hour weekly lesson over two terms. Prerequisite: AUMUS 191 or consent of the Department. Note: A student should consult the Department before registering.

Private lessons in instrument or voice; a half-hour weekly lesson over two terms. Prerequisite: AUMUS 191 or consent of the Department. Note: A student should consult the Department before registering.

Private lessons in instrument or voice; a three-quarter- hour weekly lesson over one term. Prerequisite: Consent of the Department. Note: A student should consult the Department before registering.

Private lessons in instrument or voice; a three-quarter-hour weekly lesson over two terms. Prerequisite: AUMUS 193 or consent of the Department. Note: A student should consult the Department before registering.

Private lessons in instrument or voice; a three-quarter-hour weekly lesson over two terms. Prerequisite: AUMUS 193 or consent of the Department. Note: A student should consult the Department before registering.

Private lessons in instrument or voice; a one-hour weekly lesson over one term. Prerequisite: Consent of the Department. Note: A student should consult the Department before registering.

Private lessons in instrument or voice; a one-hour weekly lesson over two terms. Prerequisite: AUMUS 195 or consent of the Department. Note: A student should consult the Department before registering.

Private lessons in instrument or voice; a one-hour weekly lesson over two terms. Prerequisite: AUMUS 195 or consent of the Department. Note: A student should consult the Department before registering.