Mathematics and Statistics

Website: www.ufv.ca/math

“Mathematics compares the most diverse phenomena and discovers the secret analogies that unite them.”
                                                                                                                                — Joseph Fourier

What is mathematics? Anyone who has taken a science or business course knows one answer: mathematics is a language. In any discipline in which quantity plays a role (such as chemistry, economics, sociology, or engineering), mathematics is used to both communicate and reason. To make oneself understood in any such discipline, and even to comprehend our technological society, one must be able to “speak” mathematics.
Mathematics has also been called a science, the science of reason. Here the laboratory is in the mind, and the apparatus is that of logic and deduction. The inventions made here rarely stay in the lab for long before they find application, and by no means have all the discoveries been made! The mathematical methods behind compact disk players, airline scheduling, satellite communications and modern genetics have all been discovered quite recently. Of course, the ability to reason carefully and analytically is as important outside mathematics as within, and taking a math course is a great way to acquire this skill.
    Perhaps less familiar is the idea of mathematics as art. Mathematicians often speak of patterns and structure of their discipline as “beautiful” or “subtle”, and even calculus itself has been said to be “... like the full-rigged sailing ship, a classic expression of Western genius.”
    UCFV mathematics courses cover the range from pre-college algebraic manipulation skills, through the basic calculus, linear algebra, complex variables and differential equations required to understand physics and engineering, the discrete mathematics required for computer science, to the axiomatic development of algebraic systems and analysis in degree-level mathematics courses.
    UCFV statistics courses deal with the mathematical deductions of probability, experimental design, sample surveys, the analysis of real world data, and the application of simple probability models to predicting and forecasting. Courses cover the range from introductory material for students with Grade 11 math to the generalized linear models and survival analysis used in modern biomedical literature.
    UCFV offers a major in mathematics, extended minors and minors in both mathematics and math/statistics as part of its Bachelor of Arts program, and a major in mathematics, and minors in both mathematics and math/ statistics as part of its Bachelor of Science program. For information about the BA Math options refer to
this section.

    Students pursuing a minor or major degree in mathematics should note that not all courses will be offered every year. In order to increase the availability of upper-level courses, students should:
        a) Take at least four 200-level Mathematics courses during their second year.
        b) Take an introductory statistics course such as MATH 270 and take MATH 302 in their second
        or third year.
            Students pursuing the statistics option of a math degree should take MATH 302 in their second year.

The following program outline is for the Bachelor of Science:

Mathematics major
This section specifies the mathematics major discipline requirements only. See BSc section for additional Bachelor of Science requirements.

Lower-level requirements: 39–41 credits

Course  Title  Credits
MATH 111  Calculus I  4
MATH 112  Calculus II  4
MATH 211  Calculus III  3
MATH 214  Introduction to Analysis  3
MATH 221  Linear Algebra  3
MATH 270  Introduction to Probability and Statistics  4
COMP 150(or higher)  Introduction to Programming  4

One of:

MATH 225*  Topics in Discrete Mathematics  3
or MATH 255  Ordinary Differential Equations  3

One of:

COMP 155  Advanced Programming or higher  4
or MATH 235  Mathematical Modeling  3
or PHYS 484  Nonlinear Physics  3

One pair of courses from the following sequences:

CHEM 111  Principles of Chemistry I 4
& CHEM 112  Principles of Chemistry II  4

or

CHEM 113  Principles of Chemistry I  5
& CHEM 114  Principles of Chemistry II  5

or

PHYS 111  Mechanics  5
& PHYS 112  Electricity and Magnetism  5

or

BIO 111  Introductory Biology I  5
& BIO 112  Introductory Biology II  5

* Students who have successfully completed MATH 125 prior to Winter 2005 may use MATH 125 in place of MATH 225.

Upper-level requirements: 30 credits
Thirty upper-level credits of mathematics courses labeled above MATH 302. At least nine of these upper-level credits must be 400-level (not including Directed Studies or Job Practicum).

Mathematics minor
This section specifies the mathematics minor discipline requirements only. Students need to combine these minor requirements with another science minor or major other than the mathematics major or mathematics minor (statistics option). See BSc section  for additional Bachelor of Science requirements.

Lower-level requirements

Course  Title  Credits
MATH 111  Calculus I  4
MATH 112  Calculus II  4
MATH 211  Calculus III  3
MATH 221 Linear Algebra  3

Plus

COMP 150  Introduction to Programming  4

Plus one course from:

COMP 155  Advanced Programming  4
MATH 235  Mathematical Modelling  3
PHYS 484  Nonlinear Physics  3
Plus two additional 200-level MATH courses.

Plus one of the following two-semester sequences:

CHEM 111  Principles of Chemistry I  4
& CHEM 112  Principles of Chemistry II  4

or

CHEM 113  Principles of Chemistry I  5
& CHEM 114  Principles of Chemistry II  5

or

PHYS 111  Mechanics  5
& PHYS 112  Electricity and Magnetism  5

or

BIO 111  Introductory Biology I  5
& BIO 112  Introductory Biology II  5

Upper-level requirements

Course  Title  Credits
MATH  Any MATH courses numbered 308 or higher  15

Note: SCI 400 is highly recommended.

Mathematics minor (statistics option)
This section specifies the Mathematics minor (Statistics option) discipline requirements only. Students need to combine these minor requirements with another science minor or major other than the mathematics major or mathematics minor. See BSc section for additional Bachelor of Science requirements.

Lower-level requirements
 

Course  Title  Credits
One of the following two-semester sequences:
MATH 111  Calculus I  4
& MATH 112  Calculus II  4
or
MATH 115  Differential & Integral Calculus I  4
& MATH 116  Calculus II for Business & CIS  4
Plus
MATH 211  Calculus III  3
MATH 221  Linear Algebra  3
MATH 270  Introduction to Probability and Statistics  4
Plus one of the following two-semester sequences:
CHEM 111  Principles of Chemistry I  4
& CHEM 112  Principles of Chemistry II  4
or
CHEM 113  Principles of Chemistry I  5
and CHEM 114  Principles of Chemistry II  5
or
PHYS 111  Mechanics  5
& PHYS 112  Electricity and Magnetism  5
or
BIO 111  Introductory Biology I  5
& BIO 112  Introductory Biology II  5
Plus
COMP 150 or higher   Introduction to Programming  4
 
Plus one course from
COMP 155 or higher  Advanced Programming  4
MATH 235  Mathematical Modelling  3
or PHYS 484  Nonlinear Physics  3

Upper-level requirements

Course  Title  Credits
MATH 302  Analysis of Observational and Experimental Data  3
Plus 15 credits from:
MATH 308  Linear Programming  3
or MATH 360  Operations Research I  3
MATH 330  Design of Experiments  3
MATH 350  Survey Sampling  3
MATH 390  Time Series and Forecasting  3
MATH 402  Generalized Linear Models and Survival Analysis  3
MATH 420  Empirical and Non-parametric Statistics  3
MATH 450  Statistical Distribution Theory  3
MATH 451  Parametric Statistical Inference  3
MATH 460  Operations Research II  3
MATH 470  Methods of Multivariate Statistics  3
MATH 488  Selected Topics in Statistics  3

Note: SCI 400 is highly recommended.
Note: Not all courses will be available every year, but the department will offer sufficient courses over a two-year cycle for students to complete the requirements for a minor in two years.

Math Centre
UCFV is committed to helping students succeed in their study of mathematics. The Math Centres in Abbotsford and Chilliwack are open at various times throughout the week, Monday to Friday. Students are encouraged to come to the centres for help with math questions. Videos are available for courses below the 100-level; cassette tapes are available for introductory statistics; and computer software, including versions of MAPLE and MINITAB, is available on centre computers for student use. Students may also sign out math books to supplement their course work.

Course listings
For complete details on courses see Course descriptions.

Note: The required grade in all Grade 12 prerequisites must include the provincial exam component

Faculty
Gillian Mimmack, BSc (Hons), MSc (Cape Town), MS, PhD (Florida State), Department Head
Jane Cannon, BA (Mundelein), MSTM (Santa Clara)
David Chu, BSc, MSc (Concordia), PhD (McGill)
Ali Reza Fotouhi, BSc, (Mashad), MSc, (Shiraz) PhD, (Lancaster)
Carollyne Guidera, BSc, MSc (SFU)
Camilo Martinez, BSc, MSc (Havana), PhD (Moscow)
Susan Milner, BA, BSc (Bishops), MSc (McMaster)
Linda Riva, BMath, MMath (Waterloo)
Greg Schlitt, BSc (UBC), MSc (SFU), PhD (McMaster)
Erik Talvila, BSc (Toronto), MSc (Western Ontario), PhD (Waterloo)
Joseph Yu, BSc (Fudan), Dip. CS, MSc, PhD (SFU)

Staff
Rhonda Colwell, BA (UCFV), Department Assistant
 

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