MATH 1190 CR-3
Mathematics for Elementary School Teachers
Students will study the theory and applications of arithmetic, geometry and data analysis (statistics). This course is designed for students planning a career as an elementary school teacher.
Prerequisites: Students who satisfy either (1) or (2) below are eligible to take MATH 1190.
(1) MATH 1112 or (MATH 1111 and 1113); or Principles of Mathematics 12 with a C+ ; orPrinciples of Mathematics 12 with a C plus Mathematics Placement Test
OR
(2) 18 Kwantlen University College credits numbered 1100 or higher (or equivalent) plus [MATH 1093 or 1117; or(ABEM 0082 or PSPM 1082) or (ABEM 0011 or MATP 1011 with a B-); orPrinciples of Mathematics 12 with a C or Principles of Mathematics 12 with a P or C- plus Mathematics Placement Test; orPrinciples of Mathematics 11with a B; or Principles of Mathematics 11 with a C or C+ plus Mathematics Placement Test]
Transferable (refer to transfer guide)
Integral Calculus
Students will learn to integrate algebraic and elementary transcendental functions and to apply these skills to appropriate problems. In addition, they will learn the fundamental theorem of calculus, the integral calculus of parametric curves, Taylor polynomials, sequences and series and simple differential equations.
Prerequisites: MATH 1120 or MATH 1130 with C + or better or MATH 1140 with a B- or better
Transferable (refer to transfer guide)
Calculus for Life Sciences II
Students will study integral calculus and its applications to biological sciences. In particular, they will study the indefinite and definite integral, functions of several variables, differential equations, and probability theory, with applications to biological problems.
Prerequisites: MATH 1140 with a C+ or better or MATH 1120 or MATH 1130
Transferable (refer to transfer guide)
Calculus II (Business Applications)
Students will study the integration of algebraic and elementary transcendental functions and apply these skills to solving problems in business, economics and social sciences. They will also study multivariate differential calculus, differential equations, matrix algebra and linear programming.
Prerequisites: MATH 1120 or 1130 or 1140
Transferable (refer to transfer guide)
Linear Algebra
Students will study systems of linear equations, matrices, determinants, eigenvalues and eigenvectors, dot products, the Gram-Schmidt process, vector and scalar projections, lines and planes in Euclidean space. Students will also study vector spaces, including general vector spaces and subspaces, linear independence, spanning sets, bases, and linear transformations. Students will write simple proofs.
Prerequisites: MATH 1120 or (MATH 1130 with a C+) or (MATH 1140 with a B-) or MATH 1230 or MATH 1240
Transferable (refer to transfer guide)
Computer Applications of Linear Algebra for Applied Science Students (this course will change effective May 2007. View future changes ).
Students will learn to use a computer algebra system to apply Linear Algebra to problems from physics and applied science.
Prerequisites: MATH 1120 or 1130 with a C+ or better or MATH 1140 with a B- or better and PHYS 1120 or 1101 or 1170.
Corequisites: MATH 2232
Transferable (refer to transfer guide)
Probability and Statistics
Students will study introductory probability and statistics using a background of calculus. Topics include concepts of randomness, probability, probability distributions for discrete and continuous random variables, descriptive statistics, multivariate distributions, laws of expectation, functions of random variables, sampling, statistical inference, and hypothesis testing.
Prerequisites: MATH 1220 or 1230 or 1240
Transferable (refer to transfer guide)
Multivariate Calculus (Calculus III)
Students will study calculus of 3 dimensions. They will study: surfaces; differentiation including partial derivatives and differentials; curves and tangents; double and triple integrals; applications and use computer algebra software.
Prerequisites: MATH 1220 or MATH 1230 with a C+ or better or 1240 with a B- or better.
Corequisites: effective Jan. 2005 they are no longer required
Transferable (refer to transfer guide)
Introduction to Analysis (this course will change effective May 2007. View future changes ).
Students will study the theory that underlies differential and integral calculus. In particular, they will study real numbers, limits of sequences, limits of functions, continuity, and differentiability and will learn how to construct proofs involving these concepts.
Prerequisites: MATH 1220
Transferable (refer to transfer guide)
Statistics for Life Sciences
Students will learn statistical techniques and their application to life sciences. They will study descriptive statistics, elementary probability, random variables, sampling distributions, estimation and hypothesis testing.
Prerequisites: MATH 1130 or 1120 or 1140
Transferable (refer to transfer guide)
Introduction to Statistics for Business
Students will learn statistical techniques and their application to business and economics. They will study descriptive statistics, elementary probability, random variables, sampling distributions, estimation and hypothesis testing. They will also learn how to apply statistical software to descriptive and inferential statistics.
Prerequisites: 15 credits numbered 1100 or higher and MATH 1140 or 1120 or 1130
Transferable (refer to transfer guide)
The Structure of Mathematics
Students will study the underlying structure of mathematics, including mathematical symbolism, introduction to set theory and introduction to logic. They will develop an understanding of methods of proof and an appreciation for the structure of mathematics.
Prerequisites: [MATH 1220 or (MATH 1230 with a C+) or (MATH 1240 with a B-)] and MATH 2232
Transferable (refer to transfer guide)
Geometry
Students will study Euclidean and other geometries, and construct geometrical proofs and objects. They will apply geometric conepts and reasoning to practical problems.
Prerequisites: [MATH 1220 or (MATH 1230 with a C+) or (MATH 1240 with a B-)] and MATH 2232
Transferable (refer to transfer guide)
MATH 3322 (formerly 2322) CR-3
Vector Calculus (Calculus IV)
Students will learn the calculus of vector valued functions and vector fields, with special emphasis on differential operators and applications in physics. They will study: derivatives of vector valued functions, including the chain rule, Jacobians and invertibility, differential operators, line integrals and Green’s theorem, surface integrals including divergence and Stokes’ theorems, path independence and conservative fields and potentials.
Prerequisites: (MATH 2232 or 1152) and MATH 2321
Transferable (refer to transfer guide)
MATH 3421 (formerly MATH 2421) CR-3
Ordinary Differential Equations
Students will study the theory and application of ordinary differential equations, including numerical, graphical and matrix methods.
Prerequisites: [MATH 1220 or (MATH 1230 with a C+) or (MATH 1240 with a B-)] and (MATH 2232 or 1152)
Transferable (refer to transfer guide)
History of Mathematics
Students will study the aspects of the history of mathematics from its earliest beginnings in solving concrete problems through the development of abstraction and rigour in the nineteenth and early twentieth centuries. They will examine and analyse both the growth of ideas and the context in which they developed, with emphasis on the mathematics taught in secondary school and the first two years of university study.
Prerequisites: [MATH 1220 or (MATH 1230 with a C+) or (MATH 1240 with a B-)] and MATH 2232
Transferable (refer to transfer guide)
Number Theory
Students will study the following topics: divisibility, properties of types of integer numbers, primes, congruences, Diophantine equations, primitive roots, and quadratic residues.
Prerequisites: [MATH 1220 or (MATH 1230 with a C+) or MATH 1240 with a B-)] and MATH 2232
Transferable (refer to transfer guide)
Special Topics in Mathematics
Students will study a particular advanced topic in mathematics, depending upon student interest and faculty availability.
Note: Students may take this course multiple times for further credit on different topics.
Prerequisites: [MATH 1220 or (MATH 1230 with a C+) or (MATH 1240 with a B-)] and MATH 2232
Transferable (refer to transfer guide)
Senior Project
Students will complete a substantial research project under the supervision of an instructor. They will identify relevant sources of information, in the form of a literature search and review, and submit a final paper investigating a research question. Note:The student’s topic must be approved by the Mathematics Department
Prerequisites: Prerequisites: 9 MATH credits at the 3000-level or higher
Transferable (refer to transfer guide)