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Natural Sciences

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Courses

BIOL-1010 The Evolutionary and Ecological Revolution: (3.0 credit hours) An introduction to ecology from a historical perspective, starting with the natural philosophers of the 18th century, through Darwin and his contemporaries, to the present day and the role of ecology in addressing environmental and resource development issues.

BIOL-1020 The Genetic Revolution: (3.0 credit hours) A journey through the historical development of our understanding of genes and their role in the development and evolution of living organisms. This course will emphasize the process of scientific discovery, from Mendel’s “heritable factors” to Crick’s “central dogma” of molecular Biology and our ever-growing ability to manipulate genetic information.

BIOL-1310 Cells and Energy: (3.0 credit hours) This course will focus on the structure and work of cells as the fundamental units of life. Topics include membranes, the structure and function of organelles including the cytoskeleton, the cell cycle, enzymes, and the central metabolic pathways common to most living organisms. Includes a laboratory component (BIOL-1310L). A laboratory fee will be assessed. Prerequisites: Biology 40S, Chemistry 40S, and Math 40S (applied or pre-calculus), recommended corequisite: BIOL-1010. Students may not hold credit both for this course and the former BIOL-1331.

BIOL-1320 Diversity of Life: (3.0 credit hours) A survey course of organismal biology, with a focus on phylogenetic relationships between organisms, and form and function of living organisms within the context of their biotic and physical environments. Includes a laboratory component (BIOL-1320L). A laboratory fee will be assessed. Prerequisite: BIOL-1310; recommended co-requisites: BIOL 1010, BIOL-1020. Students may not hold credit both for this course and the former BIOL-1341.

BIOL-1350 Microbes, Health, and Illness: (3.0 credit hours) An introduction to the essential principles of microbiology, with an emphasis on human health. The course covers basic biochemistry and surveys the major types of microbes (bacteria, protists, micro-fungi, and viruses). Building on that foundation, we will examine interactions between humans and pathogens, including the mechanisms of immune system function. Selected diseases will be discussed, as illustrations of general principles in host-microbe interactions.

BIOL-1360 Anatomy of the Human Body: (3.0 credit hours) A study of microanatomy and gross anatomy, including changes occurring from conception to old age. Includes a laboratory requirement (BIOL-1360L). A laboratory fee will be assessed. No prerequisite but high school biology strongly recommended.

BIOL-1370 Physiology of the Human Body: (3.0 credit hours) A course on the functions of all anatomical systems of the human body, with homeostatic regulatory mechanisms as foundational themes. Includes a laboratory requirement (BIOL-1370L). A laboratory fee will be assessed. Prerequisite: BIOL-1360 or 1320.

BIOL/GEOG/IDS-2010 Introduction to Global Health: (3.0 credit hours) A survey of global health issues, including infectious and neglected tropical diseases, malnutrition and the nutrition transition, maternal and child health, and environmental health. Prerequisite: 30 credit hours of university-level studies.

BIOL-2100 Genetics of Eukaryotes and Bacteria: (3.0 credit hours) Mendelian genetics: genetic interactions, linkage, and chromosome mapping. Meiosis and its implications, including chromosomal abnormalities, gene duplications and deletions. Transcription, translation, and the regulation of gene expression. Population genetics and evolution. Includes a laboratory requirement (BIOL-2100L). A laboratory fee will be assessed. Pre-requisite: BIOL-1020, recommended:  BIOL-1310 and 1320.

BIOL-2200 Microbiology (3.0 credit hours) An introduction to the structure, physiology and genetics of microorganisms and viruses, focusing on bacteria. Laboratory work will cover aseptic technique, methods for growing, identifying and enumerating microbes in cultures and specimens and introduce students to central topics in bacterial genetics. Includes a lab component (BIOL-2200L). A laboratory fee will be assessed. Prerequisites: BIOL 1310 and 1320.

BIOL-2510 Ecology I: (3.0 credit hours) Introduction to the study of ecological systems: energy and nutrient flows in ecosystems, dynamics of plant and animal populations, structure of ecological communities and functioning of ecosystems, and ecological processes that structure biological communities in space and time.  Includes a lab component (BIOL-2510L). A laboratory fee will be assessed. Prerequisites: BIOL-1010 or 1320.

BIOL-3380 Molecular and Cellular Laboratory Methods: (3.0 credit hours) A hands-on introduction to molecular biological and microscopy-based methods for the analysis of gene expression and organelle function. Prerequisites: CHEM-2110, BIOL-1020, 1310, and one of BIOL-2100 and BIOL-2200.

BIOL-3510 Ecology II: (3.0 credit hours) This course is a continuation of Ecology I, and will build on concepts introduced in Ecology I regarding the forces that regulate and shape populations and communities, as well as applied aspects of ecology, including harvesting, resource management, and ecological goods and services. Emphasis will be put on using the primary scientific literature to understand concepts. Prerequisite: BIOL-2510; recommended: BIOL 2100.

BIOL-3580 Quantitative Research Methods in Ecology: (3.0 credit hours) Quantitative research methods in ecology, using as examples species and habitat types common to the region of southern Manitoba. The course will cover experimental design, field data collection methods, and data analysis and presentation in ecology. Includes a laboratory requirement (BIOL-3580L). A laboratory fee will be assessed. Prerequisites: BIOL 2510 and MATH 1000; recommended: BIOL 3510.

BIOL-4940 Independent Study in Biology: (3.0 credit hours) A study in a specific area of Biology under the direction of a faculty member. Prerequisites: 60 credit hours of university-level studies, including 18 credit hours in Biology.

CHEM-1010 Structure and Modelling in Chemistry: (3.0 credit hours) An introduction to atomic and molecular structures, chemical bonding, chemical reactivity, to the bulk properties of matter, and the descriptive chemistry of the elements. Includes a laboratory requirement (CHEM-1010L). A laboratory fee will be assessed. Prerequisites: Applied Mathematics 40S or Pre-calculus Mathematics 40S, and Chemistry 40S (or equivalents).

CHEM-1020 Physical Chemistry: (3.0 credit hours) An introduction to topics including thermochemistry, chemical thermodynamics, and chemical kinetics.  Includes a laboratory requirement (CHEM-1020L). A laboratory fee will be assessed.  Prerequisite:  CHEM-1010.

CHEM-2010 Organic Chemistry I – Structure and Function: (3.0 credit hours) An introduction to the concepts of organic reactivity and bonding in organic molecules. Preparation and properties of functionalized organic molecules. A lab fee will be assessed. Prerequisite:  CHEM-1020.

CHEM-2020 Organic Chemistry II – Reactivity and Synthesis: (3.0 credit hours) An introduction to the concepts of organic reactivity and bonding in organic molecules. Preparation and properties of functionalized organic molecules. A lab fee will be assessed. Prerequisite:  CHEM-2010.

CHEM-2110 Biochemistry I: Biomolecules and Metabolic Energy: (3.0 credit hours) This course is an introduction to the structure and function of biomolecules, including proteins, carbohydrates, nucleic acids, and lipids. This course also explores the mechanisms and kinetics of enzyme-catalyzed reactions and bioenergetics. Includes a laboratory requirement. A lab fee will be assessed. Prerequisites: CHEM-1020 and BIOL-1320.

CHEM-3110 Biochemistry II: Catabolism, Synthesis, and Metabolic Pathways: (3.0 credit hours) An introduction to the basic metabolic pathways in living cells, including the production and use of metabolic energy, the degradation and synthesis of biomolecules; the synthesis of DNA, RNA and proteins; and the regulation and integration of these processes. Includes a laboratory requirement. A lab fee will be assessed. Prerequisites: CHEM-2010 and CHEM-2110.

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.

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. Prerequisites: MATH-2005 or former MATH-1010 and MATH-1020 with minimum grades of “C”.

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-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.

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.

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-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.

PHYS-1010 Physics 1 –  Mechanics: (3.0 credit hours) A calculus-based introduction to classical mechanics which includes vectors, translational kinematics and dynamics, work and energy, linear momentum and collisions, rotational kinematics and dynamics, and oscillatory motion. Includes a laboratory requirement (PHYS-1010L). A laboratory fee will be assessed. Prerequisite: Physics 40S. Corequisite: MATH-1020.

PHYS 1020 Physics 2 – Waves and Modern Physics: (3.0 credit hours) A calculus-based introduction to waves and modern physics which includes: oscillations, waves, superposition, interference, relativity, photoelectric effect, quantisation, Rutherford atom, Bohr model, atomic spectra, deBroglie waves, Heisenberg's uncertainty principle, nuclear reactions, fission, fusion, subatomic particles. Includes a laboratory requirement (PHYS-1020L). A laboratory fee will be assessed. Prerequisite: PHYS-1010. Corequisite: MATH-1030.

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.

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