CS 116 Introduction to Computers
See Computer Science course descriptions, page 362.
232 Course Descriptions Architecture
42 courses in the 1979–80 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
Course Descriptions
Note
More detailed course descriptions and course outlines are available upon request from the Computer Science Department. Students in faculties other than mathematics should take particular note of the following courses: CS 112, CS 115, CS 116, CS 118, CS 316
Course Descriptions Computer Science
C8112, FW 2,2T 05
Introduction to Business Problem Solving by Computer
Emphasis on the solution of mathematical problems in business. Concept and properties of an algorithm. Language and notation for describing algorithms. Analysis of problems, development of models and algorithms; implementation in a procedure-oriented language (usually FORTRAN IV); execution of these programs using several systems.
Prereq: none
N.B.: Credit will only be granted for one of CS 112, CS 116,CS 118 or CS 140. CS 112 cannot be counted for credit toward a BMath degree.
See Computer Science course descriptions, page 362.
232 Course Descriptions Architecture
Introduction to file processing techniques such as file maintenance, sorting and report generation. Language and notation for describing such algorithms. Analysis of problems dealing with files, and development of algorithms for their solution. Introduction to procedure-oriented languages (usually COBOL) for solving such problems.
Prereq: CS 112 or the equivalent
N.B.: Credit will only be granted for one of CS 115 0rCS 180. CS 115 cannot be counted for credit toward a BMath degree.
This course provides students in programmes of study which do not emphasize mathematics with an appreciation of the capabilities and limitations of machine computing and a reasonable capability for programming in one or more programming languages. Topics wii! include: concept of an algorithm, representation of information, programming in a higher level language, concept of a compiler.
Prereq: norie
N.B.: Credit will only be granted for one of CS 112, CS 116, CS 118 or CS 140. CS 116 cannot be counted for credit toward a BMath General or Honours degree.
An introduction to the analysis of scientific problems, development of mathematical models and algorithms for their solution; implementation in a procedure-oriented language (normally FORTRAN IV). Topics discussed are: solution of equations, computation of integrals, graph plotting, and simulation. Prereq: Year 5 mathematics is recommended. N.B.: Credit will only be granted for one of CS 112, CS 116,CS 118 or CS 140.
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An introduction to the analysis of mathematical problems, development of mathematical models and algorithms for their solution; implementation ina procedure-oriented language (normally FORTRAN IV). Topics discussed are: solution of equations, computation of integrals, graph plotting, and simulation.
Prereq: Year 5 mathematics is recommended.
N.B.: Credit will only be granted for one of CS 112, CS 116,CS 118 or CS 140.
Introduction to the use of computers. Concept of an algorithm. Language and notation for describing algorithms. Analysis and solution of problems dealing with files. Introduction to a procedure-oriented language (usually COBOL). The preparation and debugging of programs in such a language. Topics include: file processing and maintenance, sorting, report generation, and file design.
Prereq: Year 5 mathematics is recommended.
N.B.: Credit will only be granted for one of CS 1150rCS 7180.
A survey of numerical procedures with emphasis upon computer implementation using the FORTRAN IV programming language. Topics include: interpolation, cure fitting, solution of non-linear equations, numerical integration, numerical solution of ordinary and partial differential equations, matrix algebra, and solution of systems of linear equations.
Prereq: at least one course in calculus, algebra, and computer science.
N.B.: CS 210 cannot be counted for credit toward a BMath Honours degree.
Credit will only be granted for either CS 210 or for courses in the CS 370/371 sequence.
A disciplined approach to program design. The need for and use of various control structures and data structures. Features of several high level languages: techniques for their effective use. Specific topics include: structured programming, linked list processing, recursion, string processing, tree processing and language development.
Prereq: CS 140 or CS 180 or the equivalent. CS 250 is recommended.
Course Descriptions 363 Computer Science
introduction to machine and assembly language’ programming and basic machine architecture. Addressing modes, indexing, and indirection. Subroutine linkage and macro instructions. Characteristics of peripheral devices. Asurvey of software which assists user programs: assemblers, compilers, loaders, input/output routines, operating systems.
This is an applications oriented course which prepares the nonmathematical student to use the computer as a research tool. Topics include aids for statistical analysis and the preparation of documents such as reports and theses. The course provides sufficient background for application to other problems specific to the individual's field.
Prereq: A one term statistics course
N.B.: CS 316 cannot be counted for credit toward a BMath degree.
A discussion of algorithms for the storage and retrieval of information using storage media such as disks and tapes. The techniques developed are applied to a number of general business applications such as billing, inventory control, and general ledger accounting. Good systems design and programming practices will be stressed throughout the course. Prereq: CS 180.
N.B.: Credit will only be granted for either CS 340 or for courses in the CS 330/331 sequence.
A continuation of the topics presented in CS 330. Prereq: CS 330
N.B.: Credit will only be granted for either CS 340 or for courses in the CS 330/331 sequence.
The study of data structures in a language independent setting. Levels of data description and their role in design of structures. The effects of secondary store. Introduction to the analysis of algorithms. Topics include: primitive data types; sequences; designing representation-independent data structures; tuples; arrays and tables; trees and forests; sets.
Prereq: CS 240
N.B.: Credit will only be granted for either CS 340 or for courses in the CS 330/331 sequence.
The intent is to give a basic understanding of what goes on inside a computer, of machine architecture, and of some fundamental operating system services. Topics include: introduction to an actual computer; representation of data; memory; central processor; addressing schemes; input/output; linking and loading. Prereq: CS 250
Models of computers including finite automata and
Turing machines. Basics of formal languages. Relations
between machine models and formal languages with
applications to syntax of programming languages.
Unsolvable problems and their relevance to the
semantics of programming. Concepts of computational . complexity including algorithm optimality.
Prereq: CS 240
Combinational networks. Integrated circuit modules. Boolean algebras. Boolean functions, expressions and their simplification. Asynchronous sequential networks. Latches and flip-flops. Synchronous operation. Analysis and synthesis of synchronous sequential networks. Sequential integrated-circuit modules: shift registers, counters, memories.
Prereq: CS 250
Pitfalls in computation; solution of linear algebraic equations; finding zeros of a single nonlinear equation and systems of nonlinear equations; the algebraic eigenvalue problem. The emphasis is on exposure to modern computer techniques for solving mathematical problems. Heavy use of mathematical subroutine libraries is anticipated.
Prereq: Knowledge of a high level programming language, preferably FORTRAN: Math 220a/b, and Math 221a/b
N.B.: Credit will only be granted for either CS 210 or for courses in the CS 370/371 sequence.
Course Descriptions Computer Science
Polynomial interpolation; least squares and minimax approximation; numerical integration and differentiation; numerical solution of initial value problems and boundary value problems. As in CS 370, the intent is to expose students to modern computer techniques for solving mathematical problems. Prereq: Knowledge of a high level programming language, preferably FORTRAN; Math 220a/b, and Math 221a/b
N.B.: Credit will only be granted for either CS 210 or for courses in the CS 370/371 sequence.
Note
Enrolment in some fourth year courses may be restricted to students registered in Honours Computer Science.
Survey of organization and management theory. Systems theory and the systems approach. Systems design. Data base concepts. Implementation and evaluation of computer based information systems. Prereq: CS 340, or CS 330 and 331 and fourth year standing. -
An introduction to the basic techniques of simulation. Discrete simulation models; random number generators; the SIMSCRIPT and GPSS languages; analysis of simulation output; continuous simulation models and the CSMP language.
This course is designed to give students a critical understanding of programming language concepts and to provide them with an appreciation for the implications of various language design decisions. Students also learn some fundamentals about language processors.
Prereq: CS 340
Practical computing problems encountered in scientific applications: an overview of batch operating systems; the importance of loaders and overlays; check points, post mortems, and operating system services; FORTRAN as a programmming language; current programming techniques: design and use of program libraries and human engineering of input and output: magnetic tapes and bulk storage.
Prereq: CS 340
a
The course introduces the student to the techniques that have been developed for processing very large collections of data. The requirement that data be held on secondary storage (disks and tapes) has an enormous impact on the design of algorithms to access that data.
Prereq: CS 340
The course is intended to prepare the student to choose a suitable computer for a given application. Review of combinational and sequential logic circuits. Discussion of ‘building blocks”’ - central processing units, stores, input/output systems, and bus structures. Case studies of machines.
This course is intended to give students experience with minicomputers and their applications to process control, data acquisition, and communication. A major part of the course involves hands-on experience. Prereq: CS 340 and CS 350
Basic concepts of computer hardware; program translation; program loading and linking; co-operating sequential processes - computational and data structures, critical section'problem, process synchronization primitives, parallel programming; introduction to multiprogramming; operating system nucleus; file systems; reliability; protection; system performance, measurement and evaluation.
This course is intended to introduce the student to the basic concepts of data communications, the computer - communication interface, and new telecommunications services. Topics include: basic queueing theory, data communications and the telephone network, computer architecture for data communications, protocols, error handling, multiplexing and switching, and packet switching networks.
Prereq: The equivalent of CS 240, CS 340, CS 350, CS 450, CS 457, Stat 230/231, and Stat 333 or 340
Course Descriptions 365 Computer Science
Anintroduction to the basic results of queueing theory
and the techniques of discrete event simulation. Emphasis is placed on the applicaiton of queueing models to computer systems and computer communication networks.
Languages and their representations. Grammars ~ Chomsky hierarchy. Regular sets and sequential machines. Context-free grammars - normal forms, basic properties. Pushdown automata and transducers. Operations on languages. Undecidable problems in language theory. Applications to the design of programming Janguages and compiler construction. Prereq: CS 360
Models of the computational process as reflected by computers, linguistic systems, functional specifications, transformational systems, formal logic, etc.
Equivalence of these models. Computational complexity for specific models and abstractions fitting all models. Formal reducibilities between computational problems, and the complexity of these reducibilities.
Prereq: CS 360
Design of good algorithms and analysis of the resources they consume. Lower bounds on the resource requirements of aigorithms to compute certain functions. Problems from the following areas are discussed in this light: sorting and order statistics, data structures, arithmetic computations, the NP-complete problems.
Methods of program verification. tmplications for structured programming. Inductive reasoning about recursive programs and recursively defined data
structures. Prereq: CS 360
Direct methods for the numerical solution of linear systems of equations and linear least squares problems. Numerical methods for solving the algebraic eigenvalue problem.
Prereq: CS 370, Math 221b
Existence, uniqueness, and convergence of polynomial approximations obtained by interpolation and by least-squares criteria. Minimax and near minimax approximation by polynomials and rational functions. Efficient algorithms for obtaining approximations, including the Fast Fourier Transform. The design of built-in functions.
Prereq: CS 371, Math 322b
Initial value problems: existence and uniqueness of solutions, one step methods, multistep methods, stability, error analysis. Boundary value problems: shooting and discretization methods, implementation problems especially for non-linear equations. Integral equations: correspondence to ordinary differential equations, initial value and boundary value problems, solution techniques.
Prereq: Consent of the instructor
Discretization methods for partial differential equations, convergence and stability, grid and characteristic methods for hyperbolic equations; iterative methods of solution for parabolic and elliptic equations, rate of convergence estimates.
Prereq: Consent of the instructor
Techniques in-organization and management theory. Organization of large software systems. Data base concepts. Implementation of computer based information systems. Survey of current topics of interest such as distributed processing, microcomputers and on-line systems.
Prereq: CS 340 and fourth year standing in Honours Computer Science.
Goals and methods of artificial intelligence. Methods of general problem solving. Introduction to mathematical logic. Mechanical theorem proving. Game playing. Natural language processing.
Prereq: CS 340
Course Descriptions
An introduction to the use of computers for symbolic mathematical computation, involving traditional mathematical computations such as solving linear equations (exactly), analytic differentiation and integration of functions, and analytic solution of differential equations.
Prereq: CS 240, Math 331a/b
Software and hardware for interactive computer graphics. Implementation of device drivers, 3-D transformations, clipping, perspective, and input routines. Data structures, hidden surface removal, colour shading techniques, and some additional topics will be covered. . ; Prereq: CS 340 and CS 350; Math 231a
N.B.: This course may also be offered in the Spring.
This course is designed to consider the problems caused for organizations and society by the advent of computer technology so that constructive solutions to these problems may be discussed.
Prereq: CS 330 and CS 331, or CS 340, or equivalent.
CS 498 , 0.5 Advanced Topics in Computer Science See the course offerings list for topics available.
Department of Pure Mathematics Course Descriptions
Note
More detailed course descriptions and course outlines are available upon request from the Pure Mathematics Department.