Courses

4 credits
Adult Basic Education (ABE) – Provincial: Students develop math skills that prepare them for further studies in calculus. Topics include a review of advanced algebra, an introduction to functions, and a study of linear, quadratic, exponential, and logarithmic functions. Together with MATH 0610: Provincial Pre-Calculus 2, this course fulfills the ABE – Provincial Level (Grade 12 equivalency) requirements. Prerequisite: MATH 0510 with a minimum C or Pre-calculus 11 or equivalent Note: This course is taught by the University and Employment Preparation Department.  Exclusion: Both MATH 0600 and MATH 0610 together provide the exclusion from OL's MATH 0633 - Pre-Calculus
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4 credits
Adult Basic Education (ABE) – Provincial: Students build on skills developed in Pre-Calculus 1 in preparation for further studies in calculus. Topics include polynomial, rational, and trigonometric functions, analytical trigonometry, and sequences and series. Together with MATH 0600: Provincial Pre-Calculus 1, this course fulfills the ABE Provincial Level (Grade 12 equivalency) requirements. Note: This course is taught by the University and Employment Preparation Department. Both MATH 0600and MATH 0610 taken together exclude a student from OL's MATH 0633 - Pre-Calculus Prerequisite: MATH 0600 (min. grade C)
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4 credits
Adult Basic Education (ABE) – Provincial: Students acquire math skills in preparation for further studies in calculus. Students learn the characteristics of linear, polynomial, rational, exponential, logarithmic, and trigonometric functions. Additional topics include analytic trigonometry and sequences and series. MATH0630 fulfills the ABE – Provincial Level (Grade 12 equivalency) requirements. Note: This course is taught by the University and Employment Preparation Department. Students will only receive credit for one of MATH 0630 and MATH 0633. Prerequisite: MATH 0510 (min. grade B) or Pre-calculus 11 or equivalent.
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This course is equivalent to Math 12 and provides the mathematical foundation for an introductory course in calculus. Topics include a review of basic algebra; equations and inequalities; graphs of functions; polynomial, rational, exponential, logarithmic, and trigonometric functions; trigonometric equations and identities; conic sections; and sequences and series. This course fulfils the requirement for Provincial Level Math. Prerequisite: MATH 0523, or Grade 11 Mathematics or equivalent. Some basic algebra is required.
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3 credits
This course provides the mathematical foundation for an introductory calculus course. Topics include equations and inequalities; functions, models, and graphs; polynomial and rational functions; exponential and logarithmic functions; trigonometric functions, identities and equations. Prerequisite: Pre-calculus 12 with a minimum grade of 60% (C) or MATH 0630 with a minimum grade of C or MATH 0633 with a minimum grade of C or MATH 0600 with a minimum grade of B or equivalent. Note: Students can get credit for only one of the following MATH 1000 or MATH 1001.
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3 credits
This course provides the mathematical foundation for an introductory calculus course. In addition to a brief review of basic algebra, students are instructed in equations and inequalities; functions, models, and graphs; polynomial and rational functions; exponential and logarithmic functions; trigonometric functions; and trigonometric identities and equations. Prerequisites: There are no prerequisites for the course, but Pre-calculus 12, MATH 0633, a completed Mathematics Assessment are recommended. Note: Students cannot get credit for more than one of MATH 1157, MATH 1171, MATH 1141, MATH 0610, MATH 1000, MATH 1001.
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3 credits
Students build a strong mathematical foundation for engineering by learning ideas, methods and applications of single-variable differential calculus. Limits and derivatives are defined and calculated, derivatives are interpreted as slopes and rates of change, and derivatives are then applied to many sorts of problems, such as finding maximum and minimum values of functions. Prerequisite: Admission to the Engineering program. Note: Students can get credit for only one of the following MATH 1130, MATH 1140, MATH 1141, MATH 1150, MATH 1157, MATH 1170 or MATH 1171.
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3 credits
Students study differential calculus for functions of one variable, with applications emphasizing the physical sciences. Topics include calculation and interpretation of limits and derivatives; curve sketching; optimization and related-rate problems; l'Hospital's rule; linear approximation and Newton's method. Prerequisites: Pre-calculus 12 with a minimum grade of 67% (C+) or MATH 0610 with a minimum grade of C- or MATH 0630 with a minimum grade of C- or MATH 0633 with a minimum grade of C- or MATH 1000 with a minimum grade of C- or MATH 1001 with a minimum grade of C- Note: Students can get credit for only one of the following MATH 1130, MATH 1140, MATH 1141, MATH 1150, MATH 1157, MATH 1170 or MATH 1171.
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3 credits
This is considered a first course in calculus, primarily for students intending to continue to advanced courses in calculus, and mathematics in general. Students conduct a detailed study of differential calculus and its applications, and are introduced to antiderivatives. Prerequisites: There are no prerequisites for the course, but Pre-calculus 12 or MATH 0633, or equivalent skills as established by the math placement test are recommended. Note: Students cannot get credit for more than one of MATH 1157, MATH 1171, MATH 1140, MATH 1141, MATH 1130, MATH 1170, MATH 1171, MATH 1150.
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3 credits
Students study differential calculus for functions of one variable, with applications emphasizing the biological sciences. Topics include calculation and interpretation of limits and derivatives, curve sketching, and optimization problems. MATH 1140 is recommended rather than MATH 1150 for students planning to take second-year MATH courses. Prerequisite: Pre-calculus 12 with a minimum grade of 67% (C+) or MATH 0610 with a minimum grade of C- or MATH 0630 with a minimum grade of C- or MATH 0633 with a minimum grade of C- or MATH 1000 with a minimum grade of C- or MATH 1001 with a minimum grade of C- Note: Students can get credit for only one of the following MATH 1130, MATH 1140, MATH 1141, MATH 1150, MATH 1157, MATH 1170 or MATH 1171.
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3 credits
This course emphasizes applications rather than theory. Students begin with a review of algebra, to ensure the necessary mathematical skills to succeed in the course, and before they are introduced to limits and continuity. Students then progress to differential and integral calculus for polynomial, exponential and logarithmic functions and their applications to curve sketching, maxima, and minima. Students apply these mathematical tools to a variety of 'real-world' problems, including medical issues, epidemics, carbon dating, memory and criminology. Prerequisites: There are no prerequisites for the course, but Pre-calculus 12 or MATH 1001, or MATH 0633, are recommended. Note: Students cannot get credit for more than one of MATH 1150, MATH 1130, MATH 1141, MATH 1140, MATH 1170.
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3 credits
This course is intended for Business and Economics students. Topics include calculation and interpretation of derivatives, curve sketching, optimization (applied to business and economics), multivariable functions (including partial derivatives, optimization and Lagrange multipliers). Prerequisite: Pre-calculus 12 with a minimum grade of 67% (C+) or MATH 0610 with a minimum grade of C- or MATH 0630 with a minimum grade of C- or MATH 0633 with a minimum grade of C- or MATH 1000 with a minimum grade of C- or MATH 1001 with a minimum grade of C- or MATH 1070 with a minimum grade of C- Note: Students can get credit for only one of the following MATH 1130, MATH 1140, MATH 1141, MATH 1150, MATH 1157, MATH 1170 or MATH 1171.
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3 credits
This course is intended for Business and Economics students. Students will learn about calculation and interpretation of derivatives, curve sketching for simple functions, optimization (applied to business and economics), multivariable functions (including partial derivatives, optimization and Lagrange multipliers). Prerequisites: Pre-calculus 12 or MATH 1001, or MATH 0633, are recommended. Note: Students cannot get credit for more than one of MATH 1157, MATH 1141, MATH 1170, MATH 1171.
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3 credits
Students learn the ideas and techniques of single-variable integral calculus from an engineering perspective. Integrals are defined, evaluated and used to calculate areas, volumes, arc lengths and physical quantities such as force, work and centres of mass. Differential equations are introduced and used to model various physical phenomena. Ideas about infinite series are pursued, including some convergence tests, with particular emphasis on Taylor series. Prerequisite: MATH 1130 with a minimum grade of C. Note: Students will get credit for only one of MATH 1230, MATH 1240, MATH 1241 or MATH 1250.
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3 credits
This course covers integral calculus for functions of one variable, with applications emphasizing the physical sciences. Topics include Riemann sums, definite and indefinite integrals, techniques of integration, improper integrals, applications of integration (including area, volume, arc length, probability and work), separable differential equations, and series. Prerequisites: MATH 1130 with a minimum grade of C- or MATH 1140 with a minimum grade of C- or MATH 1141 with a minimum grade of C- or MATH 1150 with a minimum grade of C- or MATH 1157 with a minimum grade of C- Note: Students will get credit for only one of MATH 1230, MATH 1240, MATH 1241 or MATH 1250.
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3 credits
This course is intended for students who have already completed a Calculus I course in differential and integral calculus, and need to further develop their skills in this subject. Prerequisites: There are no prerequisites for the course, but MATH 1141 is recommended. Note: Students cannot get credit for more than one of MATH 1230, MATH 1240, MATH 1241, MATH 1250.
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3 credits
This course covers integral calculus for functions of one variable, with applications emphasizing the biological sciences. Topics include Riemann sums, definite and indefinite integrals, techniques of integration, improper integrals, first-order differential equations and slope fields, applications (including area, probability, logistic growth and predator-prey systems), and series. MATH 1240 is recommended instead of MATH 1250 for students planning to take 2nd-year MATH courses. Prerequisites: MATH 1130 with a minimum grade of C- or MATH 1140 with a minimum grade of C- or MATH 1141 with a minimum grade of C- or MATH 1150 with a minimum grade of C- or MATH 1157 with a minimum grade of C- Note: Students will get credit for only one of MATH 1230, MATH 1240, MATH 1241 or MATH 1250.
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3 credits
The concepts of single-variable calculus are extended to higher dimensions by using vectors as variables. Topics include vector geometry and the analytic geometry of lines, planes and surfaces; calculus of curves in two or three dimensions, including arc length and curvature; calculus of scalar-valued functions of several variables, including the gradient, directional derivatives and the Chain Rule; Lagrange multipliers and optimization problems; double integrals in rectangular and polar coordinates. Prerequisites: MATH 1230 with a minimum grade of C or MATH 1240 with a minimum grade of C or MATH 1241 with a minimum grade of C. Note: Students will get credit for only one of MATH 2110, MATH 2111 or MATH 2650.
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3 credits
This course takes calculus from the two dimensional world of single variable functions into the three dimensional world, and beyond, of multivariable functions. Students explore the following topics: vector geometry and analytic geometry of lines, planes and surfaces; calculus of curves in two or three dimensions, including arc length and curvature; calculus of scalar-valued functions of several variables, including the gradient, directional derivatives and the Chain Rule; Lagrange multipliers and optimization problems; double integrals in rectangular and polar coordinates; triple integrals in rectangular, cylindrical and spherical coordinates; calculus of vector fields, including line integrals, curl and divergence, fundamental theorem for line integrals, and Green's theorem. Prerequisites: There are no prerequisites for the course, but a course in differential and integral calculus, such as MATH 1141 and MATH 1241 is recommended. Students should have done well in these courses in order to succeed in this difficult course. Note: Students cannot get credit for more than one of MATH 2110, MATH 2111.
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3 credits
Engineering students see how the concepts of single-variable calculus are extended to higher dimensions using vectors. Topics include analytic geometry of lines, planes and surfaces; calculus of curves in two and three dimensions, including arc length and curvature; calculus of real-valued functions of several variables, including the gradient, directional derivatives and the Chain Rule; multi-variable Taylor approximations; optimization and Lagrange multipliers; double and triple integrals in rectangular coordinates and other coordinate systems; general variable changes in integrals; vector fields and gradient fields, curl and divergence. Prerequisite: A minimum grade of C in MATH 1230 and MATH 1300. Note: Students will receive credit for only one of MATH 2110, MATH 2111 or MATH 2650.
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3 credits
Engineering students complete the calculus sequence by studying several topics that are important as background for professional engineers: vector calculus, including line integrals, conservative fields, Green's theorem, surface integrals, Stokes' theorem and the divergence theorem; ordinary differential equations, including methods of solution for first-order equations and higher order linear equations, Laplace transform methods and applications to mechanical vibrations and electric circuits; and basic Fourier series. Prerequisite: MATH 2650 with a minimum grade of C. Note: Students will only receive credit for one of MATH 2670 or MATH 3170
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3 credits
The concept of a definite integral is extended to double and triple integrals and the calculus of vector fields are studied. Topics include triple integrals in rectangular, cylindrical and spherical coordinates, general change of variables in double and triple integrals, vector fields, line integrals, conservative fields and path independence, Green's theorem, surface integrals, Stokes' theorem and the divergence theorem, with applications in physics. Prerequisites: a minimum grade of C in MATH 2110 or MATH 2111 Note: Students will receive credit for only one of MATH 3170 or MATH 2670.
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3 credits
This course develops an understanding and historical context of atomic and molecular structure. Students will organize and synthesize existing knowledge of chemical structure, and engage in reflective review of their understanding. Topics include electron configurations, periodic trends, chemical bonding, Lewis structures, molecular shapes, valence bond and molecular orbital theory. The organic chemistry portion of the course focuses on the bonding and structure of organic compounds, functional groups, conformational and stereochemical features including applications to biochemistry. The laboratory stresses precision techniques in analytical chemistry. Students collect and analyze data and draw evidence-based conclusions. The laboratory provides opportunity for students to expand their existing knowledge and immerse them in challenging laboratory environment. Students receive weekly feedback and mentorship in the lab and lecture. Prerequisite: Chemistry 11 or 12 or CHEM 0500 or 0600; and Pre-Calculus 12 or MATH 0600/0610
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3 credits
This course provides an overview of general concepts of chemical bonding, Lewis structures, molecular shape, and valence bond theory of bonding. The organic chemistry portion of the course focuses on the bonding and structure of organic compounds, functional groups, conformational and stereochemical features, oxidation-reduction reactions, substitution and elimination reactions, and enolate chemistry. Prerequisites: There are no prerequisites for the course but Chemistry 11, Chemistry 12, Pre-calculus 12, Foundations of Mathematics 12 are recommended. Note: Students cannot get credit for more than one of CHEM 1500, CHEM 1503.
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1 credits
This course is the first laboratory in a fundamental first-year chemistry course, designed for students who have completed CHEM 1503: Chemical Bonding and Organic Chemistry. The topics include a review of laboratory safety and equipment, chemical changes, laboratory techniques and measurements, separation of mixtures, properties of gases, liquids and solids, physical and chemical properties, identification of metallic ions, ionic reactions, stoichiometry of a precipitation reaction, caloric content of food, and water-hardness determination. Students are expected to become familiar with these topics, and demonstrate their proficiency in various laboratory techniques. Prerequisites: There are no prerequisites for the course but Chemistry 11, Chemistry 12, Pre-calculus 12, Foundations of Mathematics 12 are recommended. Corequisite: CHEM 1503 (or equivalent 1st year general chemistry course). ***This course is only available for registration to students residing in Canada***
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3 credits
Students are introduced to the use of structured problem solving methods, algorithms, structured programming, and object-oriented programming. Students use a high level programming language to learn how to design, develop, and document well-structured programs using software engineering principles. Students learn the workings of a computer as part of programming. In a laboratory setting, through critical thinking and investigation, students will iteratively design and build a variety of applications to reinforce learning and develop real world competency in Computer Programming. This course is for students who plan to take further courses in Computing Science or to learn basic programming concepts. Prerequisites: There are no prerequisites for the course but Pre-calculus 12 and Physics 12 with a minimum C+ are recommended. Note: Students cannot get credit for more than one of COMP 1130, COMP 1131, COMP 1520.
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3 credits
Students examine the interactions between individuals and firms in various types of markets. Topics include a definition of economics; demand and supply analysis; consumer theory; production and cost; market structure including perfect competition, monopoly, monopolistic competition, and oligopoly; market efficiency and market failure; resource markets; and international trade. Prerequisite: Foundations of Mathematics 11 or Pre-calculus Math 11 with a minimum B OR MATH 0510 or MATH 0530 or equivalent. Completion of one Foundations of Mathematics 12, or Pre-calculus 12 is highly recommended Note: Students cannot receive credit for both ECON 1900 and ECON 1901
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3 credits
Students examine a wide range of microeconomic concepts about markets and market behaviour and learn how to apply them to a variety of contemporary issues. Students develop a depth of knowledge in topics including demand and supply analysis, consumer theory, production and costs, market structure, market efficiency and market failure. Prerequisites: There are no prerequisites for the course, but Foundations of Mathematics 11 or Pre-calculus 11 with a minimum B or MATH 0523 or equivalent are recommended. Completion of one of Foundations of Mathematics 12 or Pre-calculus 12 recommended. Note: Students cannot get credit for more than one of ECON 1900, ECON 1901.
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3 credits
Students examine economic behavour at the aggregate level, and the measurement and determination of national income. Topics include an introduction to economics; measuring macroeconomic variables including gross domestic product, unemployment, and inflation; the Keynesian model; aggregate demand and supply; money and banking; the money market; fiscal policy; monetary policy and the central bank; exchange rates and the balance of payments; and economic growth. Prerequisite: Foundations of Mathematics 11 or Pre-calculus Math 11 with a minimum B or MATH 0510 or MATH 0530 or equivalent. Completion of one Foundations of Mathematics 12, or Pre-calculus 12 is highly recommended. Note: Students will only receive credit for one of ECON 1950 and ECON 1951.
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3 credits
Students examine economic behavior at the aggregate level, and the measurement and determination of national income. Topics include an introduction to economics; measuring macroeconomic variables including gross domestic product, unemployment, and inflation; the Keynesian model; aggregate demand and supply; money and banking; the money market; fiscal policy; monetary policy and the central bank; exchange rates and the balance of payments; and economic growth. Prerequisites: There are no prerequisites for the course, but Foundations of Mathematics 11 or Pre-calculus 11 (min grade of B) ; or MATH 0523 or equivalent are recommended. Completion of one of Foundations of Mathematics 12 or Pre-calculus 12 highly recommended. Note: Students will only receive credit for one of ECON 1950, ECON 1951.
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3 credits
Students examine the mathematical methods and tools most commonly used in analyzing economic problems. Topics include a review of set theory, functions, and limits; linear models and matrix algebra; application of single and multivariable calculus; unconstrained and constrained optimization; integration and difference and differential equations; application of dynamic analysis; and linear and non-linear programing. Prerequisite: ECON 1900; ECON 1950; MATH 1170 or equivalent
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3 credits
This is the introductory physics course for engineering students. Students are introduced to and apply calculus to physical concepts and their engineering applications. Topics include mechanics, kinematics, rotational mechanics, simple harmonic motion, mechanical waves, and sound. Prerequisite: MATH 1130 (may be taken concurrently) Exclusion: PHYS 1150
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4 credits
Adult Basic Education – Advanced: Students study concepts that include basic algebra, systems of linear equations and inequalities, polynomials, relations and functions, rational expressions and equations, radical expressions and equations, quadratic equations and functions, and trigonometry. Note: This course is taught by the University and Employment Preparation Department. Students cannot receive credit for both MATH 0523 and MATH 0510 Prerequisites: MATH 0410 (min. grade C+) or Foundations of Mathematics and Pre-calculus 10 (min. grade C+) or Foundations of Mathematics 11 (min. grade C) or equivalent
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4 credits
Adult Basic Education – Advanced: Students study concepts that include basic algebra, rates, linear relations, systems of linear equations and inequalities, quadratic functions, geometry and trigonometry. Note: This course is taught by the University and Employment Preparation Department Prerequisite: MATH 0410 with minimum of C or Foundations of Math & Pre-Calculus 10 or equivalent
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4 credits
Adult Basic Education - Advanced: Students study concepts that include operations with real numbers, solving first degree equations and inequalities, and graphs of equations. Additional topics may include consumer mathematics, finance, data analysis, measurement, geometry, trigonometry, systems of equations, applications for trades, and applications for health. Note: This course is taught by the University and Employment Preparation Department. Prerequisite: MATH 0410 with minimum C or Foundations of Mathematics and Pre-calculus 10 or equivalent
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3 credits
This course is designed for Business and Economics students. Students learn about linear and non-linear functions and models applied to cost, revenue, profit, demand and supply, systems of equations (linear and nonlinear), matrices, linear programming, difference equations, and mathematics of finance (including simple and compound interest, annuities, mortgages, and loans). Prerequisite: Foundations of Math 12 (min. grade of C+) or Pre-Calculus 12 (min.(C+) or MATH 1000 (min. grade of C-) or MATH 1001 (min. grade of C-) or MATH 0600 (min. grade B-) or MATH 0610 (min. grade C-) or MATH 0630 (min. grade C-) or MATH 0633 (min. grade C-) or MATH 0650 (min grade of C+) Note: Students can get credit for only one of the following MATH 1070, MATH 1071, MATH 1091, MATH 1100 and MATH 1101.
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3 credits
This course is designed for Business and Economic students. Topics include the review of linear and non-linear functions and models (including cost, revenue, profit, demand and supply), solving linear and non-linear systems of equations, matrices, linear programming, difference equations, and mathematics of finance (including simple and compound interest: discrete and continuous, annuities, mortgages, loans). Prerequisites: There are no prerequisites for the course, but Pre-calculus 12, MATH 1001 within the last two years are recommended. Note: Students cannot get credit for more than one of MATH 1091, MATH 1070, MATH 1071, MATH 1100, MATH 1101.
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3 credits
Students are introduced to mathematics of management, which includes such concepts as simple interest, discounts, present value, time value of money, compound interest, annuities, sinking funds, capitalized cost, and bonds and stocks. This course assumes no prior knowledge of the mathematics of finance, as each of the topics is presented in a step-by-step manner, with examples provided. Prerequisites: Pre-calculus 11, Foundations of Mathematics 12, MATH 0523. Notes: 1. Students will only receive credit for one of MATH 1070/1071, MATH 1090/1091 and MATH 1100/1101 2. This course is NOT the equivalent of TRU's MATH 1070 or MATH 1071. Normally, students in business programs offered through TRU-OL take only one of MATH 1091 and 1071. This course does not meet the mathematics/science requirement for arts and science degree programs offered through TRU-OL.
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3 credits
This course is intended primarily for Liberal Arts or Tourism students. Students solve problems that have direct relevance in the “real world." Topics to be covered include sets, counting, probability, matrices, linear programming, and math of finance. Prerequisites: Foundations of Math 11 with a minimum grade of 67% (C+) or Pre-Calculus 11 with a minimum grade of 67% (C+) or Foundations of Math 12 with a minimum grade of 60% (C) or MATH 0510 with a minimum grade of C- or MATH 0520 with a minimum grade of C- or MATH 0523 with a minimum grade of C- or MATH 0650 with a minimum grade of C- Note: Students can get credit for only one of the following MATH 1070, MATH 1071, MATH 1090, MATH 1091, MATH 1100 or MATH 1101. Science Students do not receive credit for Math 1100.
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3 credits
First year university students are provided an opportunity to develop mathematical skills in areas other than calculus. The course has a numerical leaning tied to solving problems that have direct relevance in the 'real world,' and including such topics as systems of linear equations, linear programming, finite probability, and descriptive statistics. Prerequisites: There are no prerequisites for the course, but Pre-calculus 11, Foundations of Mathematics 11, MATH 0523 are recommended. Note: Students cannot get credit for more than one of MATH 1100, MATH 1101.
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3 credits
Students explore mathematical concepts and techniques that are useful in arts context. Topics include real and complex numbers, ratios, introductory Non-Euclidean geometries, informal topology, polygons, quadratic equations, graphs and fractals. Prerequisite: Foundations of Mathematics 11 or Pre-calculus 11 or MATH 0500.
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4 credits
This course introduces students to fundamental mathematical concepts that are relevant to architecture, design, and engineering. Topics include trigonometry, an introduction to two- and three-dimensional vectors, functions and graphs, solving linear and quadratic equations, matrix manipulation, coordinate geometry, introductory calculus, and elementary statistics and probability. Applications to architecture and engineering are explored. Prerequisite: Admission to the Architectural and Engineering Technology program.
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3 credits
This is a calculus course for students in the Architectural and Engineering Technology program. Topics include systems of linear equations and matrices; differentiation and integration, with applications to curve sketching, extreme values and optimization; related rates; areas; volumes. Prerequisites: MATH 1540 and Admission to the Architectural and Engineering Technology program
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3 credits
This course surveys several mathematical concepts used in Computing Science. Topics include logic; circuits; number systems; vector and matrix algebra; systems of linear equations; linear transformations; counting; discrete and continuous probabilities; statistics and random variables; decision analysis and asymptotic notation. Prerequisites: Pre-calculus 12 with a minimum C+ or Foundations of Math 12 with a minimum C+ or MATH 0600 with a minimum grade of B or MATH 0610 with a minimum grade of C- or MATH 0630 with a minimum grade of C- or MATH 0633 with a minimum grade of C- or MATH 0650 with a minimum grade of C- or MATH 1000 with a minimum grade of C- or MATH 1001 with a minimum grade of C- Note: Students can get credit for only one of the following COMP 1380, MATH 1380, MATH 1650 or MATH 1651.
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3 credits
This course introduces further mathematical concepts used in Computing Science. Topics include vectors and matrices; geometry; sets, relations, and functions; logic, circuits, and number systems; counting and probability; random variables; and decision analysis. Prerequisites: There are no prerequisites for the course, but one of Pre-calculus 12 or Foundations of Mathematics12 (or equivalent) with a minimum C+; within the last two years is recommended. Note: Students cannot get credit for more than one of MATH 1650, MATH 1651, MATH 1380, COMP 1380.
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3 credits
This course is an introduction to the foundation of modern mathematics including basic set theory; solution to recurrence relations; logic and quantifiers; properties of integers; mathematical induction; introduction to graphs and trees; Boolean algebra and finite state machines. Students will apply the critical thinking skills developed in Mathematics to derive meaning from complex problems. Prerequisites: Pre-calculus 12 (min grade C+) or Foundations of Math 12 (min grade C+) or MATH 0600 (min grade B) or MATH 0610 (min grade C-) or MATH 0630 (min grade C-) or MATH 0633 (min grade C-) or MATH 0650 (min grade C-) Note: Students will only receive credit for one of MATH 1220, COMP 1390, MATH 1390, MATH 1700 or MATH 1701.
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3 credits
This course is an introduction to the foundation of modern mathematics including basic set theory; solution to recurrence relations; logic and quantifiers; properties of integers; mathematical induction; introduction to graphs and trees; Boolean algebra and finite state machines. Students will apply the critical thinking skills developed in Mathematics to derive meaning from complex problems. Recommended Prerequisites: Pre-calculus 12( min grade C+) within the last two years, or Foundations of Mathematics 12 (min grade C+) within the last two years or MATH 0600 (min grade B), or MATH 0610 (min grade C-), or MATH 0630 (min grade C-) or MATH 0633 (min grade C-) or MATH 0650 (min grade C-) Note: Students will only receive credit for one of COMP 1390, MATH 1700, MATH 1701, MATH 1220 and MATH 1390.
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3 credits
This course is designed for students who wish to enter the Elementary Teaching Program, emphasizes conceptual understanding of elementary mathematical methods and ideas. Topics include problem solving, numbers and number theory, operations, geometry, measurement, proportional reasoning and probability. Additional topics may be included at the discretion of the instructor. Prerequisites: Foundations of Math 11 with a minimum 67% (C+) or Pre-calculus 11 with a minimum 67% (C+) or MATH 0510 with a minimum grade of C- or MATH 0520 with a minimum grade of C- or MATH 0550 with a minimum grade of C- Note: Students can get credit for only one of the following MATH 1900 or MATH 1901.
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3 credits
This course is primarily for students who wish to enter an Elementary Teaching program. The course emphasizes conceptual understanding of elementary mathematical methods and ideas. Topics include numbers, operations, proportional reasoning, number theory, algebra, geometry, measurement, data analysis and probability. Prerequisites: There are no prerequisites for the course, but Pre-calculus 11, or Foundations of Mathematics 11, or MATH 0523, or equivalent skills as established by the Math Placement Test are recommended. Note: Students cannot get credit for more than one of MATH 1900.
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3 credits
Students explore the following topics: systems of linear equations, matrix arithmetic, determinants, real vector spaces, linear transformations, eigenvalues, eigenvectors and diagonalization. Prerequisites: There are no prerequisites for the course, but Pre-calculus 12, or MATH 0633, or MATH 1001, or MATH 1141 are recommended. Note: Students cannot get credit for more than one of MATH 2120, MATH 2121.
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3 credits
An algebra-based introduction to physics intended for students with some secondary school physics background. Students develop a basic understanding of several fields of physics through conceptualization, problem-solving and laboratory exercises. Topics include mechanics, fluid mechanics, waves, and thermodynamics. Prerequisite: Pre-calculus 12 or equivalent with a minimum C+ and Physics 11 or equivalent with a minimum C+. Prerequisite/Corequisite: MATH 1130 or MATH 1140 or MATH 1150.
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3 credits
The student will develop an understanding of physics concepts, acquire and apply problem-solving skills, and gain hands-on experience with data collection and analysis. Topics include mechanics, simple harmonic motion, mechanical waves, sound, wave optics and geometric optics. Calculus will be introduced and used in the course. Prerequisite: Pre-calculus 12 or equivalent with a minimum C+ grade and Physics 12 or equivalent with a minimum C+ grade. Prerequisite/Corequisite: MATH 1130 or MATH 1140 or MATH 1150. PHYS 1150 and 1250 are recommended for students planning to major in physics or chemistry. Note: Students may only receive credit for one of PHYS 1150 or EPHY 1170
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3 credits
Students will utilize vector calculus to calculate static electric and magnetic fields, both in vacuum and in materials. Dynamic electric and magnetic fields will be examined by students, culminating in a derivation of Maxwell's equations. Students will explore the electromagnetic nature of light by solving Maxwell's equations for electric and magnetic fields in source-free regions. Content is delivered with an emphasis on the foundations and application of productive teamwork. Prerequisite: PHYS 1100 and PHYS 1200; or PHYS 1103 and PHYS 1105 and PHYS 1203 and PHYS 1205; or MATH 1150 and MATH 1250 (with permission of the instructor) and MATH 1130 and MATH 1230; or MATH 1140 and MATH 1240; or MATH 1150 and MATH 1250; and MATH 2110 or MATH 2111 Note: Students can only get credit for one of PHYS 2250, EPHY 2250
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3 credits
Students will utilize vector calculus to calculate static electric and magnetic fields, in vacuum and in materials. Students will use Laplace's equation to solve for static potentials. Students will apply equations of changing electric and magnetic fields culminating in a derivation of Maxwell's equations. Students will be able to describe the electromagnetic wave nature of light by applying Maxwell's equations for electric and magnetic fields in source-free regions. Prerequisite: MATH 3170 and PHYS 3120 or MATH 3160.
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3 credits
Utilizing their knowledge of vector calculus and partial differential equations students develop a sophisticated understanding and application of Maxwell's equations of electromagnetism. Topics include a review of vector calculus, electro/magneto-dynamics, conservation laws, electromagnetic wave propagation, and special relativity. Students will synthesize work from across their degree in a final research paper. Prerequisite: PHYS 3830 with a score of C or higher and MATH 3170 with a score of C or higher and PHYS 3120 with a score of C or higher or MATH 3160 with a score of C or higher.
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3 credits
Software system is critical to many aspects of our lives. Students explore the mathematical foundations of software modeling including propositional logic, proof theory and semantics of predicate logic, and extended finite state machines. Students learn model verification using linear-time temporal logic, branching-time logic, and explore various model-checking algorithms. Students are introduced to the techniques of program verification, partial and total correctness, proof calculus, modal logics, and binary decision trees. Students gain hands-on experience using a tool for model checking. Prerequisite: SENG 3210 with a minimum grade of C
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3 credits
Students are introduced to statistical reasoning in this course. Students will learn to interpret quantities relating to descriptive statistics; correlation; regression; probability; and probability distributions including the binomial and normal. Students will learn different facets of sampling and experimental design. Students will learn to make appropriate inferences from confidence intervals and hypothesis tests including analysis of variance. Prerequisites: Foundations of Mathematics 11 with a minimum grade of C+ or Pre-calculus 11 with a minimum grade of C+ or equivalent or Foundations of Math 12 or equivalent with a minimum grade of C+ or MATH 0510 with a minimum score of C- or MATH 0523 with a minimum score of C- or equivalent. MATH 1100 or MATH 1101 is recommended. Note: Students can get credit for only one of BIOL 3000, ECON 2320, PSYC 2100, STAT 1200, STAT 1201, and STAT 2000.
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3 credits
Students are introduced to the concepts and methods of statistics, including variability, randomness, and probability. A statistical software program is used to facilitate the analysis of data sets and the understanding of statistical concepts, and to carry out simulation of experiments. Many jobs or professions require that objective decisions be made based on statistical data; students are taught how to collect, analyze, and interpret data correctly. Students are also shown how to clearly and accurately present data to others. Prerequisites: Although this course does not involve complex mathematics, Pre-calculus 11, Foundations of Mathematics 11, MATH 0523 or equivalent skills as established by the math placement test. Students lacking the required mathematical background are advised to take a preparatory course before attempting this course. Basic computer literacy. Note: Students cannot receive credit for more than one of STAT 1019 - Introduction to Statistics, PSYC 2101, BIOL 3000, BUEC 2320, ECON 2320, PSYC 2100, SOCI 2710, SOCI 3559, STAT 2019, STAT 2039, PSYC 2019, STAT 1200, STAT 1200, STAT 2000, STAT 1209.
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