MATH 1090.03
Introduction to Sets and Logic
(formerly MATH1120.03)
Fall:
Section A Mon, Wed, Fri 11:30
Section B Tues 9:30-11:30, Thurs 9:30
Section C Tues, Thurs 2:30-4:00
Winter:
Section M Tues, Thurs 11:30-1:00
This course is an introduction to sets, functions, relations, logic, induction and proof techniques, and may include a smattering of basic combinatorics and graph theory. It should be of value to mathematics or computer science majors, and may also appeal to students wanting to apply mathematics to the social and management sciences.
The final grade will be based on class tests and a final examination (and possibly assignments).
Texts: t.b.a.
Prerequisites: One credit of OAC (Ontario Grade 13) mathematics or equivalent.
Degree Credit Exclusion: MATH1120.03.
The course is not open to students who have taken or are taking any mathematics course (with second digit different from 5) at 3000 or higher level.
Course Director: R. Ganong
MATH 1300.03
Differential Calculus With Applications
Fall:
Section A Mon, Wed, Fri 8:30
Section B Tues, Thurs 10:00-11:30
Section C Mon, Wed, Fri 11:30
Winter:
Section M Tues 12:30-2:30, Thurs 12:30
Topics include functions, limits, continuity, differentiation, mean-value theorem, curve sketching, maxima and minima, Riemann integration, antiderivatives, fundamental theorem of calculus.
The final grade may be based on assignments, quizzes, class tests and a final examination worth at least 30%.
Texts: t.b.a.
Prerequisites: OAC.Calculus or AS/SC/MATH1500.03 or equivalent.
Degree Credit Exclusions: AS/SC/MATH1000.03, AS/SC/MATH1013.03, SC/MATH1505.06, AS/MATH1530.03, AS/MATH1550.06, AS/ECON1530.03, SC/ACMS1030.06, SC/ACMS1050.06, AK/MATH1410.06, AK/MATH 1300.03, AK/MATH1550.06, AK/MATH1409B.03.
Course Director: J. Steprans
MATH 1310.03
Integral Calculus with Applications
Fall
Section A Mon, Wed, Fri 9:30
Winter
Section M Mon, Wed, Fri 8:30
Section N Tues, Thurs 10-11:30
Section P Mon, Wed, Fri 12:30
This is the second in a series of introductory calculus courses. It is designed to follow MATH 1300.03.
Topics include fundamental theorem of calculus, logarithmic and exponential functions, trigonometric functions, techniques of integration, applications of integration theory, l'Hôpital's rule, infinite sequences and numerical series.
The final grade may be based on assignments, quizzes, class tests, and a final examination worth at least 30%.
Texts: t.b.a.
Prerequisites: One of AS/SC/MATH 1000.03, AS/SC/MATH 1013.03, AS/SC/MATH 1300.03, or, for non-Science students only, one of AS/MATH 1530.03 and AS/MATH 1540.03; or AS/MATH 1550.06; or AS/ECON 1530.03 and AS/ECON 1540.03.
Degree Credit Exclusions: AS/SC/MATH 1010.03, AS/SC/MATH 1014.03, SC/MATH 1505.06, SC/ACMS1030.06, SC/ACMS1050.06.
Course Director: J. Steprans
MATH 2090.03
Introduction to Mathematical Logic
Winter:
Section M Mon, Wed, Fri 8:30
Section N Mon, Wed, Fri 2:30
Logic is the "official" language of mathematics and is essential in establishing the foundations on which mathematics is built. In recent years, logic has also come to play a fundamental and major role in computer science. A knowledge of logic is now an absolute necessity for the computer professional. In this course we will introduce the student to the basics of mathematical logic and deductive reasoning. The course is primarily intended for Computer Science students but would be valuable to any student interested in formal reasoning. The topics covered will include the syntax and semantics of both propositional and predicate logic, an introduction to some axiomatic theories and a more detailed study of Peano arithmetic and induction.
There will be assignments using software for the PC computers; equipment will be available at the Steacie labs.
The final grade will be based on two class tests and a final examination (and possibly assignments).
Text: F.D. Portoraro, SYMLOG.
Prerequisite: AS/SC/MATH1090.03 or AS/SC/MATH 1120.03 or permission of the course director.
Degree Credit Exclusions: MATH 2120.06, MATH 3290.03
This course is not open to students who have taken or are taking COSC 3103.03/4101.03(formerly COSC 3090.06) or AK/COSC 3431.03/3432.03 (formerly AK/COSC 3430.06)
Course Director: R. Ganong
MATH 2221.03
Linear Algebra with Applications I
Fall:
Section A Mon, Wed, Fri 2:30
Section B Tues, Thurs 10:00-11:30
Section C Mon, Wed, Fri 10:30
Linear algebra is a branch of mathematics which is particularly useful in other fields and in other branches of mathematics. Its frequent application in the engineering and physical sciences rivals that of calculus. Computer scientists and economists have long recognized its relevance to their discipline. Moreover, linear algebra is fundamental in the rapidly increasing quantification that is taking place in the management and social sciences. Finally, it is essential to higher mathematics courses in algebra, analysis, probability and statistics and geometry, where the ideas of linear algebra reappear.
This course and MATH2222.03 form a standard full-year introduction to linear algebra. While the presentation is not excessively theoretical, proofs will be presented and the student is expected to master concepts as well as results. Applications will be left mainly for MATH 2222.03.
Topics to be studied include: systems of linear equations and matrices, determinants, linear dependence and independence of sets of vectors in Rn, vector spaces, inner product spaces and the Gram-Schmidt process.
The final grade will be based on term work and a final examination(with possible weights of 60% and 40% respectively).
Texts: t.b.a.
Prerequisite or Corequisite: As prerequisite, one of MATH 1505.06, AS/MATH 1540.03, AS/MATH 1550.06, AS/ECON 1540.03, or as corequisite: AS/SC/MATH 1000.03 or AS/SC/MATH 1013.03 or AS/SC/MATH 1300.03.
Degree Credit Exclusions: AS/SC/MATH1025.03, AS/SC/MATH2000.06; AS/SC/MATH 2021.06, SC/ACMS 1020.06; ACMS2010.06; AK./MATH2220.06, AK/MATH2221.03.
Course Director: K. Bugajska
MATH 2320.03
Discrete Mathematical Structures
Section A (Fall) Mon, Wed, Fri 8:30
Section B (Fall) Mon, Wed, Fri 2:30
This course is intended primarily, but not exclusively, for Computer Science students. It aims to provide an intensive introduction to a variety of algebraic and combinatorial structures which are needed in computer science. A student of mathematics should enjoy being introduced to this variety of mathematical topics, many of which are not covered elsewhere. The course does not require a previous knowledge of computer science.
In broad categories the topics to be covered include set theory (relations, functions, ...), combinatorics, graph theory and abstract algebra (posets, lattices, Boolean algebra, groups, ...). The emphasis will be on examples and on extracting common properties.
This course is a prerequisite for COSC 3101.03, COSC 3402.03, COSC 4101.03, COSC 4111.03.
The final grade may be based on two class tests (25% each), and a final examination (50%).
Texts: t.b.a.
Prerequisite: AS/SC/MATH 1090.03 or AS/SC/MATH 1120.03 or permission of the course director.
Degree Credit Exclusions: MATH 2120.06
This course is not open to students who have taken or are taking COSC 3101.03/4101.03(formerly COSC 3090.06) or AK/COSC 3431.03/3432.03 (formerly AK/COSC 3430.06).
Course Director t.b.a.
Mathematics and Economics are obvious choices for elective courses, but there are many other possibilities. Some of them (culled from last year's course offerings) are listed below, not as recommendations - your own interests may suggest quite different choices - but to show that there are courses whose announced content meshes with issues and problems studied in computer science.
Not only should you consider taking individual courses in other subjects but you should also consider taking a concentration of courses which together form a coherent or complementary package. Such a concentration may come from one discipline (one of the sciences, for example, because of their hierarchical structure) but it may also come from two or three disciplines on related concepts presented from different perspectives. It may also be necessary to take specific prerequisites before you can take a desired elective course; such combinations also form coherent concentrations.
Faculty of Arts
Calumet College Tutorial
1910.06 Computer Roles in Education
Economics
4090.03 Economic Cybernetics I
4100.03 Economic Cybernetics II
History
3870.06 Historical Development of Technology since 1800
Humanities
1820.06 Ideology and Morality
1920.06 Communications
3920.06 Technology, Communication and Culture II
Linguistics
1000.06 Introduction to Linguistics
3140.06 Syntax
Natural Science
1760.06 Science and Technological Change
Philosophy
2100.03 Introduction to Logic
2160.03 Mind and Body
2200.03 Critical Reasoning
3020.03 Ethics
3100.03 Classical Logic
4150.03 Topics in Practical Philosophy
Social Science
1020.06 Science and Society
1080.06 Computer Consciousness
1310.06 Human Communications
3310.06 Communications for Tomorrow
3320.06 Communication Theory
4310.06 Issues in International Communication
4320.06 Seminar on the Electronic Information Network Marketplace
Faculty of Fine Arts
Music
2140.08 Electronic Media Workshop I
3440.06 Music and Technology
Faculty of Pure and Applied Science
Bethune College
3xxx.03 Technical Writing for Computer Science
Biology
2010.04 Plants
2030.05 Animals
2040.05 Genetics and Evolution
2050.03 Ecology
3060.04 Animal Physiology I
3130.03 Immunobiology
3160.04 Plant Physiology
3170.03 Concepts in Animal Ecology
4020.03 Mycology
4070.03 Behavioural Ecology
4310.03 Biological Timekeeping
Chemistry
2020.05 Organic Chemistry
2030.04 Inorganic Chemistry
2050.03 Introduction to Thermodynamics
2110.05 Analytical Chemistry
3010.04 Physical Chemistry
3120.04 Instrumental Methods of Chemical Analysis
3210.04 Physical Chemistry
3450.03 Industrial Chemistry and the Environment
4150.03 Modelling Atmospheric Chemistry
Earth and Atmospheric Science
2010.03 Introductory Meteorology
2030.03 Introductory Geophysics and Geology
2470.04 Introduction to Mechanics of Fluids and Solids
3020.03 Global Geophysics
3130.03 Introductory Atmospheric Chemistry
3030.03 Atmospheric Radiation and Thermodynamics
3280.03 Seismology
4140.03 Numerical Weather Prediction
4220.03 Remote Sensing of the Earth's Surface
4230.03 Remote Sensing of the Atmosphere
Geography
Note that not all courses are cross-listed with the faculty of Pure and Applied Science
1000.06 Introduction to World Geography
1400.06 Physical Geography
1410.06 Human Geography
2060.06 Historical-Cultural Geography
2100.06 Economic Geography
2130.03 Basic Cartography
2400.06 The Hydrosphere
2500.03 Introduction to Vegetation and Soils
2700.03 Introduction to Geomorphology
3020.03 Geography of Canada
3050.03 Political Geography
3060.06 The History of the Geography of Canada to 1821
3070.06 Population Geography
3110.06 Rural Geography
3120.06 Urban Geography
3140.03 Elementary Surveying
3180.03 Computer Cartography
3200.03 Terrestrial Ecosystems
3600.03 Process geography
4180.04 Laboratory Analysis of Ecological Material
4200.03 Water Quality and Ecosystems
4210.03 Hydrometeorology
4310.03 Dynamics of Snow and Ice
4600.03 Fluvial Geomorphology
Mathematics
1131.03 Introduction to Statistics I
1132.03 Introduction to Statistics II
2010.03 Vector Differential Calculus
2015.03 Applied Multivariate Calculus
2030.03 Elementary Probability
2040.03 Symbolic Computation Laboratory
2222.03 Linear Algebra with Applications II
2260.03 An Introduction to Combinatorics
2280.03 Mathematical Theory of Interest
2310.03 Introductory Calculus of Several Variables
2560.03 Elementary Statistics I
2570.03 Elementary Statistics II
3000.06 Problem Seminar
3050.06 Introduction to Geometries
3100.03 Famous Problems in Mathematics
3110.03 Introduction to Mathematical Analysis
3170.06 Operations Research I
3260.03 Introductory Graph Theory
3271.03 Partial Differential Equations
3280.06 Actuarial Mathematics
3410.03 Complex Variables
3430.03 Sample Survey Design
3480.03 Introductory Topology
3500.06 Mathematics in the History of Culture (HUMA3990A.06)
4170.06 Operations research II
4280.03 Risk Theory
4290.03 Mathematical Logic
4400.06 The History of Mathematics
4430.03 Stochastic Processes
4730.03 Experimental Design
Physical Education
2050.03 Research Methods and Analysis of Data in Physical Education
Physics and Astronomy
1070.04 Astronomy
2010.03 Classical Mechanics
2020.03 Electricity and Magnetism
2040.03 Special Relativity and Modern Physics
2060.03 Optics
2210.01 Experimental Physics
3020.03 Eletromagnetics I
3040.03 Modern Physics
3050.03 Electronics I
3060.03 Modern Optics
3070.03 Planets and Planetary Systems
3150.03 Electronics II
3180.03 Gas and Fluid Dynamics
3250.03 Introduction to Space Communications
3280.03 Physics of the Space Environment
4060.03 Time Series and Spectral Analysis
4110.03 Dynamics of Space Vehicles
4250.03 Signal and Communications Theory
4270.03 Astronomical Techniques
4450.03 Spacecraft Systems
4550.03 Introduction to Control Systems
Psychology
1010.06 Introduction to Psychology
2020.03 Analysis of Psychological Data
2021.03 Introduction to Descriptive Statistics
2022.03 Introduction to Inferential Statistics and the Analysis of Variance
3090.03 Principles of Psychological Measurement
3260.03 Cognitive Processes
3270.03 Sensory Processes
3290.03 Psycholinguistics
4230.03 Human Performance in Systems
Students wishing to take courses at Atkinson College or at another institution should consult the Director of Undergraduate Studies for advice. A list of equivalent courses at Atkinson College is available at the Office of Student Programmes.
Restriction: A total of 12 credits in computer science major courses may be taken from outside the department. Of these 12 credits, only 6 credits may be in core courses - defined to be all 1000- and 2000-level computer science courses, 3000-level computer science courses satisfying the breadth requirement, and, for honours programmes, any required 3000- and 4000-level computer science courses.