**MATH-1000 Basic Statistical Analysis: **(3.0 credit hours) An introduction to the basic principles of statistics and procedures used for data analysis. Topics to be covered include gathering data, displaying and summarizing data, examining relationships between variables, sampling distributions, estimation and significance tests, inference for means, and applications for specific disciplines. Includes a laboratory requirement (MATH-1000L)*. A laboratory fee will be assessed. Cross-listed as PSYC-2040. Students may not hold credit in both this course and PSYC-2040. *

**MATH-1020 Introduction to Calculus: **(3.0 credit hours) Differentiation and integration of elementary functions, with applications to maxima and minima, rates of change, area, and volume. Includes a laboratory requirement (MATH-1020L)*. A laboratory fee will be assessed. Prerequisite: a minimum grade of 60 per cent in Pre-calculus Mathematics 40S.*

**MATH-1030 Calculus II: **(3.0 credit hours) Theory and techniques of integration, curve sketching, volume, arc length, surface area and partial derivatives. *A laboratory fee will be assessed.* *Prerequisite: MATH-1020 with minimum grade of “C”.*

**MATH-1040 Discrete Mathematics: **(3.0 credit hours) An introduction to elements of discrete mathematics. Logic, proof techniques, set theory, permutations and combinations, the binomial theorem, functions, relations, partial orders, mathematical induction, graphs and trees. *Pre-requisite: a minimum grade of 60 per cent in Grade 12 Mathematics or permission of the instructor. Students may not hold credit for this course and the former MATH-2000.*

**MATH-2005 Vector Geometry and Linear Algebra: **(3.0 credit hours) An introduction to vectors, matrices, systems of linear equations, and three-dimensional geometry. *Prerequisite: a minimum grade of 60 per cent in Grade 12 Mathematics or permission of the instructor. Students may not hold credit for both this course and the former MATH-1010.*

**PHYS/MATH-2010 Electromagnetic Field Theory**: (3.0 credit hours) An introduction to the theory of electromagnetism. Topics to be covered include the electric field, electric potential, Gauss' law, capacitors, dielectric materials, magnetic fields, Ampere's law, magnetic induction, magnetic materials, displacement current, and Maxwell's equations. *Prerequisites: A grade of “C” or better in both PHYS-1010 and MATH-1030.*

**MATH-2020 Intermediate Calculus – Multivariable: **(3.0 credit hours) Calculus of several variables. *Prerequisites: MATH-2005 or former MATH-1010 and MATH-1030 with minimum grades of “C”.*

**MATH-2040 Ordinary Differential Equations 1: **(3.0 credit hours) An introduction to the theory of ordinary differential equations, and practical techniques of solution, principally relating to first order and linear higher order equations; linear systems. Applications to problems in science and other selected areas. *Pre-requisites: MATH-2005 or former MATH-1010 and MATH-1030 with minimum grades of “C”.*

**MATH-2010 Linear Algebra 2: **(3.0 credit hours) A continuation of MATH-2005. Finite dimensional vector spaces; linear transformation and matrices; eigenvalues and eigenvectors; diagonalization and applications; inner product spaces. *Pre-requisites: MATH-2005 or former MATH-1010 and MATH-1020 with minimum grades of “C".*

**MATH-2020 Intermediate Calculus—Multivariable: **(3.0 credit hours) Calculus of several variables. *Prerequisites: MATH-2005 or former MATH-1010 and MATH-1030 with minimum grades of “C.”*

**MATH-2030 Intermediate Calculus – Sequences and Series: **(3.0 credit hours) Introductory analysis, sequences and series. *Pre-requisite: MATH-1030 with a minimum grade of “C.”*

**MATH-2040 Ordinary Differential Equations 1: **(3.0 credit hours) An introduction to the theory of ordinary differential equations, and practical techniques of solution, principally relating to first order and linear higher order equations; linear systems. Applications to problems in science and other selected areas. *Pre-requisites: MATH-2005 or MATH-1010 and MATH-1030 with minimum grades of “C”.*

**MATH-2950 Topics in Mathematics: **(3.0 credit hours) The content of this course will vary from year to year, depending on the needs of students and the interests and availability of instructors. *Prerequisite: To be determined, depending on the topic.*

**MATH/PHIL-3000 Philosophy of Mathematics:** (3.0 credit hours) The philosophy of mathematics includes matters of metaphysics, semantics, and epistemology. This course will provide an overview of the philosophy of mathematics, including (1) the views of some historical philosophers of mathematics, from Plato and Aristotle to Immanuel Kant and John Stuart Mill, (2) the three major positions of the twentieth century, namely, logicism, intuitionism, and formalism, and (3) some contemporary accounts of mathematics, such as ontological realism, anti-realism, and structuralism. *Prerequisite: **30 credit hours of university-level studies, including MATH-1040** with a minimum grade of “C”.*

**MATH-3040 Ordinary Differential Equations 2: **(3.0 credit hours) Laplace transforms, series solutions of ODEs, systems of linear ODEs, applications, introduction to dynamical systems. *Pre-requisite: MATH-2040 with a minimum grade of “C” and 30 credit hours of university-level studies. Corequisite: MATH-2030*

**BUSI/MATH-3040 Quantitative Methods in Business and Organizational Administration: **(3.0 credit hours) This course covers multiple regression analysis, forecasting, time series and linear programming as they are applied to organizational decision making. The course also discusses the application of these topics to management science techniques and models. *Prerequisite: MATH-1000*.

**MATH-3050 Chaos Theory: **(3.0 credit hours) Introduction to dynamical systems, attractors, bifurcation, fractals, chaos. Examples include logistic map, Lorenz attractor, Julia sets, Mandelbrot set. Philosophical and theological consideration will be given throughout, including epistemic limitations, unreasonable effectiveness, determinism, complexity, divine action, open theism. *Prerequisite: MATH-2040 or COMP-1040 and 30 credit hours of university-level studies.*

**MATH/PHIL-3060 Introductory Logic: **(3.0 credit hours) An introduction to the semantics of philosophical logic, which is the mathematics of propositions. The course covers classical logical theory, the foundation for mathematical proof and also some rival logics. These include incomplete logic, in which some statements are neither true nor false; inconsistent logic, in which some statements are both true and false; and free logic, in which statements can be made about objects that do not exist. *Prerequisite: MATH-1040.*

**MATH-3950 Topics in Mathematics: **(3.0 credit hours) The content of this course will vary from year to year, depending on the needs of students and the interests and availability of instructors. *Prerequisite: 30 credit hours of university-level study, plus additional prerequisites to be determined, depending on the topic.*

**MATH-4000 Thesis in Mathematics**: (6.0 credit hours) *This course is restricted to students completing the Bachelor of Arts, four-year major. For information on eligibility, due dates, procedures, and requirements, students should request a document from the Registrar’s Office. Approval of the application will be contingent on the availability of faculty members to serve as thesis advisor and second reader.*

**MATH-4940 Independent Study in Mathematics: **(3.0 credit hours) A study in a specific area of Mathematics under the direction of a faculty member. *Prerequisites: MATH-2005 or former MATH-1010 and MATH-1020, an additional nine credit hours in Mathematics, and a minimum of 60 credit hours of university-level studies.*

**MATH-4950 Topics in Mathematics: **(3.0 credit hours) The content of this course will vary from year to year, depending on the needs of students and the interests and availability of instructors. *Prerequisite: 30 credit hours of university-level study, plus additional prerequisites to be determined, depending on the topic.*

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