Courses
MATH 100 (3) Calculus for Engineering and Physical Sciences I
Functions and graphs; limits; derivatives; techniques of differentiation, applications; antiderivatives; definite integral; area; trigonometric, logarithmic and exponential functions; and Newton's, Simpson's and trapezoidal methods. Credit will only be granted for one of MATH 121 or MATH 191 or MATH 100. (4:0:0)
Prerequisite: Minimum "B" in Principles of Math 12, or minimum "B-" in both Principles of Math 12 and Calculus 12.
MATH 101 (3) Calculus for Engineering and Physical Sciences II
Volumes, arc length, surface area, techniques of integration, polar coordinates and area, l'Hospital's Rule, Taylor's formula, improper integrals, series and tests for convergence, power series and Taylor series, and complex numbers. Credit will only be granted for one of MATH 122 or MATH 192 or MATH 101. (4:0:0)
Prerequisite: Minimum "C" in MATH 100.
MATH 110 (1) Additional Calculus Topics
Topics covered in MATH 100 and MATH 101 that are not covered in MATH 121 and MATH 122 (polar coordinates and area, Taylor's formula, series and tests for convergence, power series and Taylor series, and complex numbers). (2:0:0)
Prerequisite: Minimum "B-" in MATH 121.
MATH 111 (3) Introductory Finite Mathematics I
An introduction to basic non-calculus mathematics useful to students in Applied Mathematics, Computing Science, Business and the Social and Biological Sciences. Topics include linear equations, matrices with applications, compound interest and annuities, sets and counting techniques, linear programming and probability. (4:0:0)
Prerequisite: Min. "C" in Principles of Math 11 or Applications of Math 11 or a pass in Principles of Math 12 or Applications of Math 12; or equivalent.
MATH 112 (3) Introductory Finite Mathematics II
A continuation of MATH 111. Topics include statistics, game theory, Markov chains, simplex method, logic and graph theory. (4:0:0)
Prerequisite: MATH 111.
MATH 121 (3) Calculus I
A study of real numbers, analytic geometry, derivatives of the elementary functions with applications, anti-derivatives, calculation of areas. Credit will only be granted for one of MATH 100 or MATH 191. or MATH 121. (4:0:0)
Prerequisite: Min. "B" in Principles of Math 12 or MATH 152 or equivalent. Students with only a "C+" or "B-" in Math 12 can meet the prerequisite by obtaining a min. "B" in MATH 151.
MATH 122 (3) Calculus II
A continuation of MATH 121. Topics include techniques of integration with applications, numerical methods, improper integrals, polar coordinates, Taylor's theorem, and infinite series. Credit will only be granted for one of MATH 101 or MATH 192 or MATH 122. (4:0:0)
Prerequisite: Min. "C" in MATH 121 or min. "C-" in MATH 100.
MATH 123 (3) Logic and Foundations
Topics include: set theory, functions, relations, partial orderings, equivalence relations and partitions, connectives and truth tables, quantifiers, number of ways of arranging n items, number of ways of selecting r items out of n, methods of proof including mathematical induction, trees, graphs, asymptotic notation, exact and asymptotic solutions of recurrence relations, properties of integers. (4:0:0)
Prerequisite: Min. "C" in MATH 100 or MATH 121.
MATH 131 (3) Mathematics for Elementary Education I
Topics include number systems, elementary graph theory, number theory, map colouring, numeration systems, elementary theory of equations and geometric constructions with straight-edge and compass, and the metric system. The sequence of topics may vary from year to year. (4:0:0)
Prerequisite: Min. "C" in Principles of Math 11 or Applications of Math 11, or a pass in either Principles of Math 12 or Applications of Math 12; or equivalent.
MATH 132 (3) Mathematics for Elementary Education II
A continuation of MATH 131. May not be taken for credit towards the VIU B.Sc. degree. (4:0:0)
Prerequisite: MATH 131.
MATH 135 (3) From Puzzles to the Poetry of Patterns
An exploration of the most fascinating ideas, results and achievements in mathematics. No math background is required (mathphobics especially welcome, come and be cured!) Puzzles (problems), practical or philosophical, answered by patterns (mathematics). Gain an appreciation for mathematics as a cornerstone of civilization, while developing problem-solving and critical-thinking skills. (4:0:0)
Prerequisite: None.
MATH 141 (3) Matrix Algebra for Engineers (Ends Oct 2009)
An examination of vectors, matrices and their operations, linear systems, determinants, linear dependence and independence, eigenvalues and eigenvectors, and applications. (4:0:0)
Prerequisite: Min. "C" in MATH 100 or MATH 121.
MATH 141 (3) Matrix Algebra for Engineers (Effective Nov 2009)
An examination of vectors, matrices and their operations, linear systems, determinants, linear dependence and independence, eigenvalues and eigenvectors, and applications. (4:0:0)
Prerequisite: Min. "C" in MATH 100 or MATH 121. May not be taken for credit by students who have received credit for MATH 241 or equivalent.
MATH 145 (3) Precalculus (Ends Oct 2009)
A survey of the material of both MATH 151 and MATH 152 in one semester. Topics include the algebra and trigonometry necessary for University Calculus. This course is for students who have passed Principles of Math 12, but who did not achieve the required "B" grade for entry into MATH 100, MATH 121, or MATH 191. Credit will only be granted for one of MATH 151 and MATH 152 together or MATH 145. (4:0:0)
Prerequisite: Principles of Math 12 or equivalent.
MATH 145 (3) Precalculus (Effective Nov 2009)
A survey of the material of both MATH 151 and MATH 152 in one semester. Topics include the algebra and trigonometry necessary for University Calculus. This course is for students who have passed Principles of Math 12, but who did not achieve the required "B" grade for entry into MATH 100, MATH 121, or MATH 191. Credit will only be granted for one of MATH 151 and MATH 152 together or MATH 145. (4:0:0)
Prerequisite: Principles of Math 12 or equivalent. May not be taken for credit by students who have received credit for any of the following (or equivalent) MATH 100, MATH 121, or MATH 191.
MATH 151 (3) Introductory College Algebra I (Ends Oct 2009)
An introduction to relations, functions and their inverses, linear and quadratic functions, systems and matrices. For students who plan to take further courses in mathematics for which a good Mathematics 12 background is a prerequisite. May not be taken for credit towards the VIU B.Sc. degree. (4:0:0)
Prerequisite: Min. "C+" in Principles of Math 11 or Applications of Math 12 or a pass in Principles of Math 12, or equivalent.
MATH 151 (3) Introductory College Algebra I (Effective Nov 2009)
An introduction to relations, functions and their inverses, linear and quadratic functions, systems and matrices. For students who plan to take further courses in mathematics for which a good Mathematics 12 background is a prerequisite. May not be taken for credit towards the VIU B.Sc. degree. (4:0:0)
Prerequisite: Min. "C+" in Principles of Math 11 or Applications of Math 12 or a pass in Principles of Math 12, or equivalent. May not be taken for credit by students who have received credit for any of the following (or equivalent) MATH 100, MATH 121, or MATH 191.
MATH 152 (3) Introductory College Algebra II (Ends Oct 2009)
A continuation of MATH 151 including logarithmic and exponential functions, trigonometric functions, polar coordinates, complex numbers, analytic geometry, sequences, series, and elementary combinatorics. May not be taken for credit towards the VIU B.Sc. degree. (4:0:0)
Prerequisite: Min. "C" in MATH 151, or min. "C+" in Principles of Math 12, or equivalent.
MATH 152 (3) Introductory College Algebra II (Effective Nov 2009)
A continuation of MATH 151 including logarithmic and exponential functions, trigonometric functions, polar coordinates, complex numbers, analytic geometry, sequences, series, and elementary combinatorics. May not be taken for credit towards the VIU B.Sc. degree. (4:0:0)
Prerequisite: Min. "C" in MATH 151, or min. "C+" in Principles of Math 12, or equivalent. May not be taken for credit by students who have received credit for any of the following (or equivalent) MATH 100, MATH 121, or MATH 191.
MATH 154 (3) Introductory College Algebra (Ends Oct 2009)
This is the self-paced method of obtaining credit for MATH 151 or MATH 152. May not be taken for credit towards the VIU B.Sc. degree. (4:0:0)
Prerequisite: See MATH 151, 152.
MATH 154 (3) Introductory College Algebra (Effective Nov 2009)
This is the self-paced method of obtaining credit for MATH 151 or MATH 152. May not be taken for credit towards the VIU B.Sc. degree. (4:0:0)
Prerequisite: See MATH 151, 152.
MATH 161 (3) Introduction to Statistics for Social Sciences
An introduction to descriptive statistics (organizing, displaying, and summarizing data) including hypothesis testing and confidence intervals. Topics include graphing, measures of central tendency and dispersion, linear regression, correlation, probability, probability distributions, exploratory data analysis, and random sampling. Statistical software is introduced. Mainly for non-science students. May not be taken for credit towards the VIU B.Sc. Degree. Credit will only be granted for one of MATH 181, MATH 211 or MATH 161. (4:0:0)
Prerequisite: Principles of Math 11 or Applications of Math 11.
MATH 171 (2) Mathematics for Forestry Technology
Review of algebra, geometry, logarithms, and trigonometry from a practical problem-solving approach, including approximation methods. Designed to give students the mathematical skills required for their technology. May not be taken for credit towards a VIU B.Sc. degree. (4:0:0)
Prerequisite: Admission to Forest Resources Technology program.
MATH 172 (2) Statistics for Forestry Technology
Intro to statistics including organization and presentation of data, measures of location and variation, probability, frequency distributions, sampling, estimation of errors, testing hypotheses, and regression. Emphasis on doing problems relating to forestry technology. (3:0:1)
Prerequisite: MATH 171.
MATH 181 (3) Introduction to Statistics
An introduction to descriptive statistics for the technology programs. Topics include organizing, displaying, and summarizing data; measures of central tendency and dispersion; probability, probability distributions, random sampling, confidence intervals, capture/recapture, hypothesis testing, linear regression, correlation, goodness-of-fit, and independence. Statistical software is used to illustrate concepts and remove computational drudgery. Credit will only be granted for one of MATH 161, MATH 211 or MATH 181. (4:0:1)
Prerequisite: Min. "C" in Principles of Math 11 or Applications of Math 11.
MATH 191 (3) Calculus with Economic and Business Applications I
A study of derivatives and rates of growth, exponential and circular functions, differentials, chain rule, implicit differentiation, maxima and minima, and curve sketching. Credit will only be granted for one of MATH 100 or MATH 121. or MATH 191. (4:0:0)
Prerequisite: Min. "B" in Principles of Math 12 or MATH 151 or equivalent.
MATH 192 (3) Calculus with Economic and Business Applications II
A continuation of MATH 191. Topics include the definite integral, techniques of integration, introduction to linear optimization and matrix algebra, partial derivatives, maxima and minima with constraints. Credit will only be granted for one of MATH 101 or MATH 122. or MATH 192. (4:0:0)
Prerequisite: Min. "C" in MATH 191.
MATH 200 (3) Calculus of Several Variables
Vector functions, solid analytic geometry, partial differentiation, directional derivatives and the gradient vector, Lagrange multipliers, multiple integration, cylindrical and spherical coordinates, surface area, line integrals, Green's theorem, surface integrals, and divergence theorem. (4:0:0)
Prerequisite: Minimum "C" in MATH 101, or minimum "C+" in both MATH 122 and MATH 110.
MATH 203 (3) Biometrics
A statistical course designed for biology majors. Topics include a probability and statistics review, multiple regression, sampling techniques, analysis of variance and non-parametric techniques with a statistical computer software involvement and numerous simulation studies. Credit will not be granted for both MATH 203 and 212. (4:0:2)
Prerequisite: MATH 211 or "B" in MATH 181.
MATH 211 (3) Statistics I
A one-semester, non-calculus introduction to probability theory and statistics. Topics include probability laws, descriptive statistics, sampling theory, hypothesis testing, chi-square tests, and linear regression. Credit will only be granted for one of MATH 161, MATH 181 or MATH 211. (4:0:1)
Prerequisite: Principles of Math 12 or Applications of Math 12 or MATH 151.
MATH 212 (3) Statistics II
A non-calculus continuation of MATH 211. Topics include advanced probability theory, mathematical expectations, nonparametric statistics, multiple regression, and analysis of variance. Credit will not be granted for both MATH 203 and 212. (4:0:1)
Prerequisite: Min "C" in Math 211 or "B" in Math 181.
MATH 223 (3) Discrete and Combinatorial Mathematics
Graphs: trees, colouring, planarity, Hamilton and Euler cycles, network flows and matching. Counting: permutations, combinations with and without repetitions, binomial and multinomial theorems, inclusion-exclusion. Generating functions: manipulation of formal power series, exponential generating function, partitions of integers. Recurrence relations: linear recurrences, nonhomogeneous recurrences, method of generating functions, divide and conquer recurrences. Inference rules and laws of logic, finite state machines, basics of discrete probability. (4:0:0)
Prerequisite: Min. "C" in MATH 123.
MATH 241 (3) Linear Algebra
A study of vectors and matrices, systems of linear equations, determinants, linear transformations from Rn to Rm, change of bases, diagonalization, eigenvalues, eigenvectors, and applications. (4:0:0)
Prerequisite: Min. "C" in MATH 101 or MATH 122.
MATH 251 (3) Differential Equations
Topics include first order differential equations, second order linear differential equations, series solution, Laplace transforms, systems of first order linear differential equations, numerical methods, non-linear differential equations, and applications. (4:0:0)
Prerequisite: Min. "C+" in MATH 101 or MATH 122; and either MATH 141 or MATH 241.
MATH 254 (3) Statistics for Engineers
An introduction to statistics for engineering students. Topics include: summarizing data, introduction to probability, conditional probability, discrete and continuous random variables and their probability distributions, joint distributions, expectation, sampling and sampling distributions, central limit theorem, statistical inference (estimation and hypothesis testing), and linear regression and correlation. (4:0:1)
Prerequisite: Min. "C" in MATH 101 or MATH 122; and MATH 200 (may be taken concurrently).
MATH 300 (3) Geometry
Plane and solid Euclidean geometry, non-Euclidean geometries, fractal geometry. (3:0:0)
Prerequisite: Min. "C" in any of MATH 200, MATH 223, or MATH 241.
MATH 310 (3) Introduction to Graph Theory
An introduction to the combinatorial, algorithmic, and algebraic aspects of graph theory. (3:0:0)
Prerequisite: Min. "C" in either MATH 223 or both of MATH 123 and MATH 241.
MATH 320 (3) Introduction to Probability
Topics include probability spaces, combinatorial analysis, conditional probability, independence, inclusion-exclusion, random variables, expectation, discrete and continuous distributions, limit theorems. (3:0:0)
Prerequisite: Min. "C" in MATH 200.
MATH 321 (3) Introduction to Mathematical Statistics
An introduction to the theory of statistics. Applications will be discussed via examples and exercises. Topics include sampling distributions, UMVU estimators, sufficiency and completeness, pivots and interval estimation, hypothesis tests and composite hypotheses, uniformly most powerful tests, generalized likehood ratio tests, chi-square tests, regression, ANOVA. (3:0:0)
Prerequisite: Min. "C" in MATH 320.
MATH 330 (3) Introduction to Abstract Algebra
Development of the number systems of elementary algebra; groups, rings, integral domains and fields; polynomials. Not open to students with credit in MATH 230. (3:0:0)
Prerequisite: Min. "C" in MATH 241, and min. "C" in one of MATH 200 or 223.
MATH 331 (3) Coding Theory and Cryptography (Ends Oct 2009)
An exploration of the mathematics of data integrity. Topics include ASCII, Morse, Holllerith, error-control, Hamming, error-correcting, bar, and other codes. Cryptographic topics include substitution, permutation, block, Playfair and knapsack ciphers, the Enigma machine, RSA-cryptography, and electronic signatures. The mathematics of congruence, probabilistic primality-testing, groups, polynomial rings, and Galois fields are developed. Credit will only be granted for one of MATH 330 or MATH 331. (3:0:0)
Prerequisite: Min. "C" in either MATH 241 or both of MATH 141 and MATH 223.
MATH 331 (3) Coding Theory and Cryptography (Effective Nov 2009)
The mathematics of data integrity. The course examines historically important encryption systems such as substitution, Vigenere, Playfair, and Hill ciphers and the Enigma machine. The mathematics of permutations, factoring, and primality testing are developed in conjunction with the modern cryptographic systems RSA, DES, and their offshoots. (3:0:0)
Prerequisite: Min. "C" in either MATH 241 or both of MATH 141 and MATH 223.
MATH 340 (3) Applications of Mathematics
A survey of some of the important applications of calculus and matrix algebra. Topics include least squares analysis, linear programming, Fourier series, stochastic processes, population dynamics. Phenomena modelled may vary from year to year. (3:0:0)
Prerequisite: Min. "C" in both MATH 200 and MATH 241.
MATH 345 (3) Mathematical Modelling (Ends Oct 2009)
An introduction to how Mathematics is applied as a tool in studying complex systems in science and engineering. Topics include how to make the difficult transition from basic assumptions made on a real-world problem to the setting up of a mathematical model, using modern technology such as Maple and Matlab. (3:0:0)
Prerequisite: Min. "B" in both MATH 100 ( or 121) and MATH 101 (or 122), and min. "C" in MATH 141.
MATH 345 (3) Mathematical Modeling (Effective Nov 2009)
An introduction to the application of mathematics as a tool for studying complex systems in science and engineering. Topics include model fitting, experimental modeling, modeling with ordinary and partial differential equations, and optimization. (3:0:0)
Prerequisite: Min. "B" in both MATH 100 ( or 121) and MATH 101 (or 122), and min. "C" in MATH 141.
MATH 346 (3) Mathematical Biology
An introduction to classical mathematical models from population biology and ecology. Topics chosen from harvesting models, competition models, epidemic models for HIV, SARS, West Nile, and Bird Flu, models of population outbreaks, models of marine protected areas, metapopulation and patch models, chemostat models, and nonlinear host-parasitoid models. Credit will only be granted for one of MATH 345 or MATH 346. (3:0:0)
Prerequisite: Min. "B" in both MATH 121(or MATH 100) and MATH 122 (or MATH 101).
MATH 350 (3) History of Mathematics
The development of mathematics from its first primitive forms through to the present. Emphasis is placed on the evolution of the mathematics taught in high school. (3:0:0)
Prerequisite: Six credits of 200-level Math with a min. "C" in each course.
MATH 360 (3) Problem Solving (Ends Oct 2010)
A study of the techniques and strategies for solving mathematical problems. Develops problem-solving abilities from the formulation of a problem in mathematical terms to its solution. A survey of the types of problem solving expected of high school students. Problems range in difficulty from those in high school to more difficult problems requiring two years of university math as well as considerable patience, industry and creativity. (3:0:0)
Prerequisite: Six credits of 200-level math chosen from MATH 200, MATH 223, and MATH 241 (min. "C" in each course).
MATH 360 (3) Problem Solving (Effective Nov 2010)
A study of the techniques and strategies for solving mathematical problems. Develops problem-solving abilities from the formulation of a problem in mathematical terms to its solution. A survey of the types of problem solving expected of high school students. Problems range in difficulty from those in high school to more difficult problems requiring two years of university math as well as considerable patience, industry and creativity. (3:0:0)
Prerequisite: Min. "C" in MATH 241 and a min. "C" in either MATH 200 or MATH 223.
MATH 362 (3) Elementary Number Theory
Divisibility, primes, congruences, arithmetic functions, primitive roots, quadratic residues, basic representation and decimals, and a selection from the following topics: Pythagorean triples, representation as sums of squares, infinite descent, rational and irrational numbers, distribution of primes. (3:0:0)
Prerequisite: Six credits of 200-level math courses, excluding MATH 211 (min. "C" in each course).
MATH 370 (3) Topics in Mathematics
Topics in mathematics that are not covered in the calendar list of courses. Selection of topic would vary from year to year from topics such as complex variables, analysis, linear programming, mathematical biology, group theory, etc.. NOTE: May be taken for credit more than once if the topics are different. (3:0:0)
Prerequisite: Min. six credits of 200-level Mathematics courses (excluding Math 203). Additional prerequisites, depending on the topic to be studied, may be in effect.