Mathematics Courses
Note regarding prerequisites:
Students are advised that a P grade is NOT sufficient for use as a prerequisite. A minimum grade of C- must be achieved in any Douglas College course which is to be used as a prerequisite.
Assessment Testing
Assessment Testing may be required for registration in some or all of the courses listed below.
Course Offering Table
The following is a table of the Mathematics course offerings for the 2011–2012 academic year.
MATH 1101 Basic Algebra (3 credits)
This is a one-semester course for students who need to improve their knowledge of algebra. Topics covered include: functions and relations, domain and range; algebraic techniques, factoring, exponents and radicals, polynomial and rational expressions; solving and graphing equations and inequalities in one variable; solving and graphing systems of equations; quadratic equations; graphing lines and parabolas; mathematical modelling; basic geometric formulas.
Prerequisites: Principles of Math 11 with C or better; or DVST 0411 with C- or better; or Applications of Math 12 with C or better and a score of 12 or better on the Douglas College Math Assessment Test (DCMAT); or Precalculus 11with C or better; or Precalculus 12 with a C or better; or Precalculus 12 with a C- and a score of 15 or better on the DCMAT; or Foundations of Math 11 with a C or better and a score of 15 or better on the DCMAT; or Foundations of Math 12 with a C or better and a score of 15 or better on the DCMAT.
Lecture: 4
Offered: Fall, Winter, Summer
MATH 1102 Basic Algebra with Analytical and Quantitative Reasoning (3 credits)
This course is recommended for students who wish to refresh their skills after several years away from mathematics. It will help students develop mathematical reasoning, problem-solving and math study skills as they review fundamental concepts of mathematics. The course uses a problem-solving approach: students work in small groups under instructor guidance as they learn how to read and analyze mathematics problems, how to solve them and how to present their solutions. Topics covered include: functions and relations, domain and range; algebraic techniques, factoring, exponents and radicals, polynomial and rational expressions; solving and graphing equations and inequalities in one variable; solving and graphing systems of equations; quadratic equations; graphing lines and parabolas; mathematical modeling; basic geometric formulas. This course is parallel to MATH 1101 Basic Algebra, but is offered via a problem-solving approach. It is accepted as an equivalent to SFU’s FAN X99 course.
Prerequisites: Principles of Math 11 with C or better or DVST 0411 with C or better or Applications of Math 12 with C or better and a score of 12 or better on the DC Math Assessment Test.
MATH 1105 Algebra and Trigonometry (3 credits)
This one-semester course covers the essentials of functions (linear, quadratic, polynomial, logarithmic, exponential, and trigonometric), graphing, solving equations and inequalities, systems of equations, and sequences and series. It is designed to meet the needs of students who plan to go on to take Precalculus (MATH 1110), Business Calculus (MATH 1125) or Statistics (MATH 1160), or who require a Math 12-level course to transfer to technical or vocational programmes.
To find out where this course transfers, check the BC Transfer Guide
Prerequisites: MATH 1101 or DVST 0411 or BUSN 1330; or Principles of Math 11 with a DC Mathematics Assessment Test (DCMAT) score of 20 or better; or Principles of Math 12 with a DCMAT score of 17 or better; or Precalculus 11 with a C or better and a score of 20 of better on the DCMAT; or
Precalculus 12 with a C or better and a score of 17 of better on the DCMAT; or Foundations of Math 11 with a C or better and a score of 20 or better on the DCMAT; or Foundations of Math 12 with a C or better and a score of 17 or better on the DCMAT.
Lecture: 4
Offered: Fall, Winter and Summer
MATH 1110 Precalculus (4 credits)
This is a one-semester course for students who wish to prepare for MATH 1120 Calculus. It covers graphing and solution of equations involving polynomial, rational, circular, trigonometric, inverse trigonometric, logarithmic and exponential functions, in addition to conic sections. This is a challenging course that moves through the topics required for later study of calculus quickly and in depth. Students who have never taken Principles of Math 12 are advised to take MATH 1105 first. A graphing calculator is required.
To find out where this course transfers, check the BC Transfer Guide.
Prerequisites: MATH 1101 with a B- or equivalent OR MATH 1105 with a C- or equivalent OR Any ONE of: Principles of Math 11 OR Precalculus 11 OR Foundations of Math 11, with a C or above AND a score of 20 or above on the Douglas College Mathematics assessment Test
Lecture: 6
Offered: Fall, Winter and Summer
MATH 1120 Calculus I (3 credits)
MATH 1120 is an introductory calculus course for science students. The course includes limits, continuity, and the differentiation of algebraic, trigonometric, inverse trigonometric, exponential and logarithmic functions. Differentiation techniques are applied to graphing, extrema, related rates and rectilinear motion, as well as to parametric and polar equations. This course is taught using a graphing calculator.
To find out where this course transfers, check the BC Transfer Guide.
Prerequisites: MATH 1110, OR a grade of B or better in Precalculus 12, OR Principles of Math 12, OR an approved equivalent (see Assessment Services).
Lecture: 4; Tutorial: 2
Offered: Fall, Winter, and Summer
MATH 1125 Calculus for the Social Sciences (3 credits)
This course is an introduction to differential calculus for students in business, social sciences and biological sciences. Topics include limits, differentiation techniques for algebraic, logarithmic, exponential and trigonometric functions, mathematical modelling, applications to graphing and optimization, implicit differentiation and differentials.
To find out where this course transfers, check the BC Transfer Guide.
Prerequisites: MATH 1105, OR a B grade or better in Precalculus 12, Principles of Math 12, OR an approved equivalent (see Assessment Services).
Lecture: 4; Tutorial: 1
Offered: Fall and Winter
MATH 1130 Discrete Mathematics I (3 credits)
This is the first of two Discrete Mathematics courses for Computing Science students. Topics include logic, set theory, counting, functions, relations, graphs, trees, finite state machines and formal languages.
To find out where this course transfers, check the BC Transfer Guide.
Prerequisite: Principles of Mathematics 12 with a C or better or equivalent; or Precalculus 12 with a C or better; or Foundations of Math 12 with a C or better.
Lecture: 4; Tutorial: 1
Offered: Winter
MATH 1160 Introduction to Statistics (3 credits)
A pre-calculus introduction to descriptive statistics, measures of central tendency and variation, elementary probability, probability distributions, sampling, hypothesis testing, regression, correlation and chi-square testing.
To find out where this course transfers, check the BC Transfer Guide.
Prerequisite: MATH 1105; or Principles of Math 11 with a B or better; or Applications of Math 11 with an A- or better; or Principles of Math 12 with a C or better; or Applications of Math 12 with a B or better; or Precalculus 11 with a B or better; or Precalculus 12 with a C or better; or Foundations of Math 11 with a B or better; or Foundations of Math 12 with a C or better.
Lecture: 4; Tutorial: 1
Offered: Fall, Winter and Summer
MATH 1183 Mathematics for Animal Health Technology (2 credits)
This is a one-semester course for students in Animal Health Technology. Topics covered include: calculations involving fractions, decimals and percentages, scientific notation, ratio and proportion, dimensional analysis, clinical applications, measurement systems, dosage calculations for oral and parenteral medication, calculations for creating solutions such as intravenous fluids, constant rate infusions and dilutions with applications in anaesthesia, radiology and nutrition.
Prerequisites: Admission to AHT program.
MATH 1191 Mathematics for Teachers (4 credits)
This is a one-semester course which explores the basic mathematical concepts which are taught in the elementary school curriculum. Topics will include sets, whole numbers and integers, arithmetic operations, rational and real numbers and the study of informal geometry including curves, angles, area and volume, symmetry, congruence and motion geometry. Students are advised that this course requires a considerable time commitment.
To find out where this course transfers, check the BC Transfer Guide.
Prerequisite: Principles of Math 11 (C or better) or equivalent; or Precalculus 11 with a C or better; or Precalculus 12 with a C or better; or Foundations of Math 11 with a C or better; or Foundations of Math 12 with a C or better.
Lecture: 6
Offered: Fall, Winter and Summer
MATH 1220 Calculus II (3 credits)
MATH 1220 is an introduction to integral calculus. It develops the concept of the integral and its applications. Other topics include techniques of integration, improper integrals, sequences and series of numbers, Taylor series, polar coordinates, parametric equations and separable differential equations. This course is taught using a graphing calculator.
To find out where this course transfers, check the BC Transfer Guide.
Prerequisites: MATH 1120
Lecture: 4; Tutorial: 1
Offered: Fall, Winter, and Summer
MATH 1225 Calculus II for the Social Sciences (3 credits)
This course covers the theory and methods of integration of elementary functions, partial derivatives, optimization, integration of functions of two variables, elementary first order separable and linear differential equations, and Taylor polynomials. Applications from business, life and social sciences develop a meaningful context for the theory throughout the course.
To find out where this course transfers, check the BC Transfer Guide
Prerequisite: MATH 1125 OR an approved equivalent (See Assessment Services).
Lecture: 4; Tutorial: 1
Offered: TBA
MATH 1234 Mathematics for Liberal Arts (3 credits)
Mathematics is everywhere. This one-semester course for liberal arts students explores mathematics topics in order to improve quantitative reasoning and decision-making in everyday life, as well as to develop an appreciation for the power and beauty of the mathematics that is evident (and not so evident) in the world around us. Topics include: critical thinking and problem-solving, percentages and number sense, uses and abuses of statistics, linear and exponential growth, and mathematics in art and music. Good English writing and communications skills are recommended.
To find out where this course transfers, check the BC Transfer Guide.
Principles of Math 11 with a C- or better or an approved equivalent; or Applications of Math 11 with a C or better; or DVST 0410 with a C or better; or Precalculus 11 with a C- or better; or Precalculus 12 with a C- or better; or Foundations of Math 11 with a C- or better; or Foundations of Math 12 with a C- or better.
Lecture: 4
Offered: Fall and Winter
MATH 2230 Discrete Mathematics II (3 credits)
This is the second of two discrete mathematics courses for computing science students. Topics in this course include complexity of algorithms, recursion, recurrence relations, generating functions, equivalence relations, partial orders, partitions, graphs and trees, cycles and paths, shortest-path algorithms, minimal spanning trees, tree traversals and applications of trees and graphs.
To find out where this course transfers, check the BC Transfer Guide
Prerequisite: MATH 1130
Lecture: 4; Tutorial: 1
Offered: Fall, in guided study format. Please contact the Mathematics Department for more information.
MATH 2232 Linear Algebra (3 credits)
Math 2232 is a one-semester introductory course designed to provide a foundation in the mathematics of linear algebra. This course is often the first course in abstract mathematics, and the student is taught how to prove theorems. Topics include the solving of systems of equations, matrices and determinants, the vector space Rn, n-dimensional Euclidean space, general vector spaces, linear transformations, eigenvalues and eigenvectors and the diagonalisation of matrices.
To find out where this course transfers, check the BC Transfer Guide.
Prerequisite: MATH 1120 or MATH 1130
Lecture: 4; Tutorial: 1
Offered: Fall and Winter
MATH 2245 Introduction to Mathematical Analysis (3 credits)
A one-semester introduction to analysis for students who have successfully completed the first year of calculus (six credits). This course presents foundation concepts in analysis which lay the groundwork for further study in pure and applied mathematics, in particular real analysis courses. It is normally required material for mathematics majors. Topics studied include the nature of proof, set theory and cardinality, the real numbers, limits of sequences and functions, continuity, formal coverage of the derivative and the mean value theorem, Taylor's theorem, the Riemann integral, the fundamental theorem of calculus and topics in infinite series.
Prerequisites: MATH 1220 (with a grade of C or better)
Offered: Fall, in guided study format. Please contact the Mathematics Department for more information.
Math 2260 Probability and Statistics for Science and Engineering (3 credits)
Introduction to descriptive statistics, laws of probability, distributions of continuous and discrete random variables, inferential statistics, correlation and linear regression. This course rigorously develops statistical theory and is intended for those students who will continue on in applied disciplines or wish to pursue more statistics courses.
Prerequisites: MATH 1120
Corequisites: MATH 1220
Lecture: 4; Tutorial: 1
Offered: Winter
MATH 2321 Calculus III (3 credits)
This course extends the theory of differential and integral calculus to functions of several variables. Topics include the study of vectors, quadric surfaces, vector functions, cylindrical and spherical coordinates, partial derivatives, multiple integrals, vector fields and line integrals; all with applications.
To find out where this course transfers, check the BC Transfer Guide.
Prerequisite: MATH 1220
Corequisite: MATH 2232 recommended
Lecture: 4; Tutorial: 1
Offered: Fall
MATH 2421 Introduction to Differential Equations (3 credits)
This is a first course in the theory of ordinary differential equations. Topics include the solution of first and higher order differential equations, power series solutions, Laplace transforms, linear and non-linear systems, stability, Euler methods and applications.
To find out where this course transfers, check the BC Transfer Guide.
Prerequisite: MATH 1220 and MATH 2232 or Instructor permission
Lecture: 4; Tutorial: 1
Offered: Winter
MATH 2440 Calculus IV (3 credits)
This is a course in vector calculus that applies calculus to vector functions of a single variable as well as scalar and vector fields. Topics include gradient, divergence, curl; line, surface and volume integrals; the divergence theorem as well as the theorems of Green and Stokes.
To find out where this course transfers, check the BC Transfer Guide.
Prerequisite: MATH 2321
Lecture: 4; Tutorial: 1
Offered: Winter, in guided study format. Please contact the Mathematics Department for more information.