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

MATH 112

Calculus II

MATH 211

Calculus III

MATH 214

Analysis

MATH 221

Linear Algebra

MATH 270

Introduction Probability and Statistics

COMP 150 (or higher)

Introduction to Programming

One of: 

MATH 125

Introduction to Discrete Mathematics, or

4

MATH 255

Ordinary Differential Equations

One of: 

COMP 155

Advanced Programming or higher, or

4

MATH 235

Mathematical Modeling, or

3

PHYS 484

Nonlinear Physics

One pair of courses from the following sequences: 

CHEM 111

Principles of Chemistry I

CHEM 112

Principles of Chemistry II

4

or 

CHEM 113

Principles of Chemistry I

CHEM 114

Principles of Chemistry II

4

or 

PHYS 111

Mechanics

PHYS 112

Electricity and Magnetism

4

or  

BIO 111

Introductory Biology I

BIO 112

Introductory Biology II

4

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

MATH 112

Calculus II

MATH 211

Calculus III

MATH 221

Linear Algebra

Plus

COMP 150

Introduction to Programming

Plus one course from: 

COMP 155

Advanced Programming

MATH 235

Mathematical Modelling

PHYS 484

Nonlinear Physics

Plus two additional 200-level MATH courses.  

Plus one of the following two-semester sequences: 

CHEM 111

Principles of Chemistry I

CHEM 112

Principles of Chemistry II

or  

CHEM 113

Principles of Chemistry I

CHEM 114

Principles of Chemistry II

or 

PHYS 111

Mechanics

PHYS 112

Electricity and Magnetism

or

BIO 111

Introductory Biology I

BIO 112

Introductory Biology II

4

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 

Course

Title

Credits 

One of the following two-semester sequences: 

MATH 111

Calculus I

4

MATH 112

Calculus II

or

MATH 115

Differential & Integral Calculus I

4

MATH 116

Calculus II for Business & CIS

Plus

MATH 211

Calculus III

MATH 221

Linear Algebra

MATH 270

Introduction to Probability and Statistics

Plus one of the following two-semester sequences: 

CHEM 111

Principles of Chemistry I

CHEM 112

Principles of Chemistry II

4

or

CHEM 113

Principles of Chemistry I

CHEM 114

Principles of Chemistry II

or  

PHYS 111

Mechanics

4

PHYS 112

Electricity and Magnetism

or  

BIO 111

Introductory Biology I

BIO 112

Introductory Biology II

Plus 

COMP 150 or higher

Introduction to Programming

Plus one course from:

COMP 155 or higher

Advanced Programming

 

MATH 235

Mathematical Modelling, or

3

PHYS 484

Nonlinear Physics

Upper-level requirements 

Course

Title

Credits 

MATH 302

Analysis of Observational and Experimental Data

Plus 15 credits from:

MATH 308

Linear Programming, or

3

MATH 360

Operations Research I

 

MATH 330

Design of Experiments

MATH 350

Survey Sampling

MATH 390

Time Series and Forecasting

MATH 402

Generalized Linear Models and Survival Analysis

MATH 420

Empirical and Non-parametric Statistics

MATH 450

Statistical Distribution Theory

MATH 451

Parametric Statistical Inference

MATH 460

Operations Research II

MATH 470

Methods of Multivariate 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 the course descriptions section. 

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

Faculty 

Greg Schlitt, BSc (UBC), MSc (SFU), PhD (McMaster) 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)
Gillian Mimmack, BSc, MSc (Cape Town), MS, PhD (Florida)
Linda Riva, BMath, MMath (Waterloo)
Joseph Yu, BSc (Fudan), Dip. CS, MSc, PhD (SFU) 

Staff 

Department Assistant TBA


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