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 precollege 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 the Bachelor of Arts 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 the Bachelor of Science section for additional 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 125

 Introduction to Discrete Mathematics

 4

or MATH 255

 Ordinary Differential Equations

 3

One of:

COMP 155

 Advanced Programming or higher

 4

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

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 the Bachelor of Science section for additional 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 the Bachelor of Science section for additional requirements.

Lower-level requirements

One of the following two-semester sequences:

Course

 Title

 Credits

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 

& 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 section.

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
Velma Alford, BA, Ed. Cert. (Manitoba)
Jane Cannon, BA (Mundelein), MSTM (Santa Clara)
David Chu, BSc, MSc (Concordia), PhD (McGill)
Barry Garner, MA (Oxon), MSc, PhD (Nottingham)
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)
Joseph Yu, BSc (Fudan), Dip. CS, MSc, PhD (SFU)

Staff

Rhonda Colwell, BA (UCFV), Department Assistant

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