Department of Mathematics & Statistics 03/03
Chair: P. Keast, Chase Rm.219, keast@mathstat.dal.ca
Directors: J.Janssen (Math Majors), Chase Rm.306, janssen@mathstat.dal.ca
Advising times: please arrange an appointment via e-mail.
B.Smith (Stats Majors), Chase Rm.202, bsmith@mathstat.dal.ca
Coordinators: R.Par?/u> (Honours Math), Chase Rm.316, pare@mathstat.dal.ca
B.Smith (Honours or COOP Stats), Chase Rm.202, bsmith@mathstat.dal.ca
R.J.Wood (COOP Mathematics), Chase Rm.223, rjwood@mathstat.dal.ca
1st Year MATH 1000A Calculus I MATH 1010B Calculus II
2nd Year MATH 2001A Intermediate Calculus I MATH 2002B Intermediate Calculus II
MATH 2030A Linear Algebra I MATH 2040B (or MATH 2135) Linear Algebra II
3rd Year
4th Year
Degree Programs
The Division offers seven programs leading to the BSc. An Honours B.Sc. degree is normally required for any student wishing to do graduate work. For complete information, please see the Dalhousie University Academic Calendar.
1. The Honours in Mathematics or Statistics (4 years - 20 credits) provides a rigorous training in the discipline.
2. The Combined Honours Program (4 years - 20 credits) is for students who wish to combine two fields of study.
3. The Honours Co-op Education Program (4.5 years) links an Honours degree with industry. Students in this program
take three work terms.
4. The Advanced Major in Mathematics or Statistics (4 years - 20 credits) Our standard 20-credit major degree programs.
5. The Advanced Majors Co-op Education Program (4.5 years) An Advanced Double Major Co-op is also offered.
6. The Advanced Double Major (4 years - 20 credits) allows a student to specialize in two subjects.
7. A Concentration in Mathematics or Statistics (3 years - 15 credits) furnishes a student with a basic background in mathematics thereby enabling the pursuit of a variety of interests. Certificate programs are available for students who wish to upgrade a 15-credit degree to a 20-credit Advanced Major or Honours degree.
Certificate Programs. Special Certificates are also awarded to students who complete a certain set of mathematics and statistics courses as part of a 20-credit degree program. If you are interested, please ask for a HANDOUT.
1. Certificate in Actuarial and Financial Mathematics. This program addresses many of the learning objectives and
fundamental mathematical and statistical skills required for an actuarial career. It also prepares student for employment in
general financial institutions were modeling, quantitative risk analysis, management of investment instruments, asset and
liability management, life contingencies and insurance assessment, and other complex financial calculations are required.
2. Certificate in Applied and Computational Mathematics. This program is concerned with the development of the core
mathematical and computational skills required in science, government and industry. Areas of application include everything
from mathematical modeling to operations research to cryptography to software development.
Career and Advising Information: Web sites with related links
Dalhousie Department of Mathematics & Statistics, http://www.mathstat.dal.ca
Canadian Mathematics Society, http://www.cms.math.ca/Students/en/
Society for Industrial and Applied Mathematics, http://www.siam.org/careers/
American Mathematical Society, http://e-math.ams.org
Mathematical Association of America, http://www.maa.org/
*Also visit the Frank G. Lawson Career Information Center at the Student Union Building (see below)
Additional Academic Advising
Academic advisors at Student Services can give you general academic advice about defining your educational goals, choosing your major/minor, changing faculties, and help you with academic difficulties. To make an advising appointment telephone 494-3077 or send e-mail to career.portfolio@dal.ca. Where:
Student Services Office, Room G28, Main Level, Killam Library
Telephone: 494-3077
E-Mail: career.portfolio@dal.ca
Website: www.dal.ca/advising
The RegistrarŐs Office provides information and advice on admissions, selection of programs, grade reports and transcripts, letters of permission, academic regulations and appeals, scholarships, bursaries, temporary loans and eligibility for government student financial assistance programs. They may refer you as appropriate to a facility advisor in a department of specific interest. To make an appointment call 494-2450. (Also see Financial Assistance and RegistrarŐs Office). Where
RegistrarŐs Office, Room 133, Arts and Administration Building
Telephone: 494-2450
Website: www.registrar.dal.ca
Career Counselling and Career Information Centre
At Counselling Services, students exploring their academic and career interests will find individual career counselling and group programs on Choosing a Major, What to Do with a Degree in..., Interest Testing, Career Decision Making, Rsum? Writing, Interview Skills, the Hidden Job Market and the Summer Job Search. (Also See Employment and Volunteering)
The Frank G. Lawson Career Information Centre is arranged for easy self-service access to resource materials including the Internet. However, one of our Career Information Assistants will be happy to help you find the information that you need. (Also See Employment and Volunteering, and Study/Work/Volunteer Abroad). Where
Counselling Services
Room 409, Student Union Building
Telephone: 494-2081
Website: www.dal.ca/~cpscic
Interesting Applications of Mathematics: Web sites with related links
The Consortium for Mathematics and Its Application (COMAP), http://comap.com
Mathematical Modeling, http://www-unix.mcs.anl.gov/mathmodeling/
More Mathematical Modeling, http://www.pims.math.ca/education/
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Courses (at the 1xxx, 2xxx and 3xxx level).
NOTE: MATH 1000 and MATH 1010 introduce the basic ideas of the calculus, and together constitute a solid foundation for study in the Sciences (Physics, Chemistry, Biology, etc.), as well as for further study in Mathematics. Students who require one or both of these classes, but are uncertain of their ability to handle them, are invited to make use of the diagnostic and remedial services offered in the Mathematics Learning Centre, located in the basement of the Chase Building. Students are strongly encouraged to assess their Precalculus preparation by trying the Diagnostic Test
Note also that MATH 1000 X/Y is offered as a single term class (in both fall and winter terms) and as a full year class.
Math 1000: Differential and Integral Calculus I.
This class offers a self-contained introduction to differential and integral calculus. The topics include: functions, limits, differentiation of polynomial, trigonometric, exponential and logarithmic functions, product, quotient and chain rules, applications of differentiation, antiderivatives and definite integrals, integration by substitution. A sequel to this class is MATH 1010.
Math 1001: Mathematics for Liberal Arts Students I.
For students who wish to become acquainted with mathematics as an art rather than as a tool of the sciences. A selection of elementary topics will be discussed with a view to illuminating historical and cultural aspects of the subject. Required work will include a series of written reports on assigned readings and a major essay. This class cannot be used to partially satisfy the BSc mathematics requirement.
FORMAT: Lecture 3 hours, MLC
Math 1002: Mathematics for Liberal Arts Students II.
Same as 1001 above, but with a different set of topics. Either one or both of 1001 and 1002 may be taken for credit. This class cannot be used to partially satisfy the BSc mathematics requirement.
FORMAT: Lecture 3 hours, MLC
Math 1003: The Mathematics of Multimedia.
This class will introduce students to the mathematics behind animation, graphics and sound. Students will learn how to animate objects at various speeds under linear and nonlinear motion, how to use and manipulate colour under different models, how pitch relates to trigonometric and logarithmic functions, and how curves and matrices can be used to manipulate and compress graphic files. The class will teach students to apply mathematics directly within a programming environment in order to explore the relationship between Mathematics, Computer Science and Art.
NOTE: Registration in this class is restricted to students in the Faculty of Arts and Social Sciences. It cannot be used to partially satisfy the BSc mathematics requirement.
FORMAT: Lecture 3 hours
Math 1010: Differential and Integral Calculus II.
A continuation of the study of calculus with topics including: Riemann sums, techniques of integration, elementary differential equations and applications, parametric equations and polar coordinates, sequences and series, Taylor series.
FORMAT: Lecture 3 hours, tutorial 1 hour, MLC
PREREQUISITE: MATH 1000
Math 1060: Introductory Statistics for Science and Health Sciences.
See class description for STAT 1060 in the Statistics section of this calendar.
Math 1110: Finite Mathematics for Commerce.
This class provides an introduction to the methods of finite mathematics with special emphasis on applications to business. Topics include linear functions, systems of linear equations, matrices, Leontief models, linear programming with emphasis on the simples method, an introduction to probability and Markov chains.
This class may not be used to partially satisfy the BSc mathematics requirement.
FORMAT: Lecture 3 hours, MLC
PREREQUISITE: Nova Scotia Mathematics 442 or equivalent
Math 1120: Calculus for Commerce.
This is a elementary calculus class with special emphasis on applications to business. Topics include functions, limits, rates of change, derivatives, one variable optimization and curve sketching, exponential functions, logarithmic functions, functions of several variables, Lagrange multipliers and elementary integration.
This class may not be used to partially satisfy the BSc mathematics requirement.
FORMAT: Lecture 3 hours, MLC
PREREQUISITE: Nova Scotia Mathematics 442 or equivalent
EXCLUSION: MATH 1120 credit cannot be given to those who have already received credit for MATH 1000
Math 1400: Introduction to Numerical Computing.
This class introduces students to numerical techniques for solving mathematical problems that they have met in MATH 1000. The students will be introduced to a programming language and a computing environment. Tools to which the students will be introduces will include Matlab and Maple. the topics covered are: introduction to the Unix environment; introduction to C; numerical integration; solving non-linear equations; data fitting and graphing software on Unix stations and on PCŐs; scientific computing libraries; using the Web to obtain solutions to scientific computing problems.
PRE-REQUISITE: MATH 1000
Math 2001/2002: Intermediate Calculus
Mathematics 2001/2002 is about calculus in three or more dimensions. It is a direct extension of the single variable calculus studied in first year. Typical problems are (a) physical - find the mass of a solid of varying density, find the steepest path up the mountain-side, (b) geometric - find the equation of a tangent plane or the volume of a solid. Calculus and linear algebra form the core of modern university mathematics. This course is essential not only for students of mathematics but also those of science, particularly physics.
Math 2030/2040: Linear Algebra
Mathematics 2030 and 2040 are about various aspects of mathematics that reduce to solving systems of linear equations. Collectively these aspects are called linear algebra. Because the theory of linear algebra is quite elementary, complete proofs are given of most of the theorems. Nonetheless, computational problems play a large role in assignments and tests.
Mathematics 2051: Problems in Geometry
A collection of problems that introduce the student to the ideas of combinatorial, projective, inverse, transformational, topological, differential and non-Euclidean geometries.
Mathematics 2112: Discrete Structures I
A challenging class, very different from calculus. If you enjoy Mathematics, and especially if you are interested in Computing Science, you will want to give this class your consideration. This class together with MATH 2113.03 offers a survey of those areas in Mathematics which may be classified as dealing with discrete structures. Areas covered include set theory, mathematical induction, number theory, relations, functions, algebraic structures and introductory graph theory. The topics to be discussed are fundamental to most areas of Mathematics and have wide applicability to Computing Science.
Mathematics 2113: Discrete Structure II
The class continues CSCI 2112.03/Math 2112.03. It covers some basic concepts in discrete mathematics, which are of particular relevance to students of computer science, engineering, and mathematics. The topics to be covered will include: Solution of recurrence relations, generating functions, modular arithmetic, Chinese remainder theorem, trees and graphs, finite state machines, groups and rings, Boolean algebra.
Mathematics 2135: Honours Linear Algebra
In this, the honours version of 2040B, vector spaces and linear transformations are studied. This is a fundamental course for anyone wishing to do advanced work in mathematics or computer science.
Mathematics 2300: Introduction to Mathematical Modeling and Programming
This course introduces mathematical modeling and the use of computers for analysis, visualization and exploration in the sciences. Topics range from classical problems of motion to contemporary ones involving simulations, fractals and chaos.
Mathematics 2505: Honours Introductory Analysis
This is the theory of Calculus. Mostly it covers the same topics as in Mathematics 1000 and 1010, i.e. sequences, functions, limits, continuity, differentiability, Riemann integration and series, but from a theoretical point of view. It begins with axioms for the real numbers and proceeds from there in a completely logical development. It is a required class for mathematics Honours students.
Mathematics 2600: Theory of Interest
A detailed examination of the theory of simple and compound interest as well as the theory of life contingencies and life insurance premiums. The syllabus includes the material on which exam 2 of the society of Actuaries accreditation examination series is based.
Math 2790: Mathematical Problem Solving: Techniques & Methods
This class will provide an introduction to techniques for solving mathematical problems of the sort encountered in competitions (such as the mathematical olympiad or the William Lowell Putnam competition). This is good course for prospective teachers.
Mathematics 3030X/Y: Algebra
Everything about "Modern" algebra you always wanted to know. Learn about groups, rings, and fields. See how new methods can solve 2000-year old problems like circle-squaring and angle-trisecting.
Mathematics 3070: Theory of Numbers
Properties of integers and rational numbers are studied in this course. The first half is concerned with divisibility, prime numbers and congruencies, culminating in the deep and important quadratic reciprocity law. Applications of this include properties of sums of squares of integers. The second half of the course includes a thorough discussion of simple continued fractions, and of certain number theoretic functions.
Mathematics 3080: Introduction to Complex Variables
A fascinating subject that combines elegance with important applications in science and engineering. Topics include complex functions, calculus in the complex plane and conformal mapping. This is a useful course for students of Physics and Electrical Engineering.
Mathematics 3090: Advanced Calculus I
The course begins with a thorough review of infinite series and power series. The concept of uniform convergence of sequences and series of functions is central to this course. An introduction to Fourier series is given, including is complex form, and more general orthogonal expansions.
Mathematics 3100: Advanced Calculus II
This course begins with a study of implicit function theorems, with applications to transformations and multiple integrals. Also covered are improper simple and multiple integrals, functions defined by integrals, and differentiation under the integral sign. Finally, some special topics in differential equations are covered, in particular solutions by infinite series, and Bessel functions.
Mathematics 3540: Basic Set Theory
Set theory is the foundation on which modern mathematics is built. This is a good course for prospective teachers and those contemplating work in pure mathematics.
Mathematics 3110/3120: Differential Equations I & II
The first course gives a basic introduction to ordinary differential equations with an emphasis on first order and linear second order equations. Various solution techniques including series and Laplace transforms are discussed. The second course gives a basic introduction to the techniques involved in solving linear second order partial differential equations with constant coefficients; in particular the heat, wave and Laplace equations. This includes regular Sturm-Lioville problems and Fourier Series.
Mathematics 3260: Introduction to Mathematical Modeling Using Differential Equations
This course is concerned with the formulation and solution of problems in science and technology and is essential for anyone interested in applications.
Mathematics 3300/3310: Optimization I & II
An introduction to a topic of fundamental importance to modern business and engineering, including both linear and non-linear programming, the simplex method and numerical algorithms. Math majors and students intending to study Industrial Engineering or Business Administration will find this useful.
Mathematics 3500X/Y: Intermediate Analysis
This is a thorough treatment of the basic ideas of analysis - a 'must' for any student with serious ideas about graduate work in mathematics. Topics treated vary somewhat with the instructor but focus on rigorous study of differentiability, continuity and convergence from a more advanced perspective than Math 2505.
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