Academic Calendar 2012/2013

course Descriptions • course Descriptions • course Descriptions • course Descriptions • course Descriptions • course DescriptionsMATH-113Elementary Calculus I3 Credits (60:0:0 hours)This course examines the fundamental concept of limits, differentiationand integration. Limits and differentiation of algebraic andtrigonometric functions are studied along with applications includingrelated rates, optimizing and curve sketching. This course concludeswith a study of Riemann sums, the Fundamental Theory of Calculusand substitution. Note: Students who have successfully completedMathematics 31 are advised to take MATH 114. This course may notbe taken for credit if credit has already been obtained in MATH 100 orMATH 114. Prerequisites: Minimum grade of 80% in Pure Mathematics30, or successful completion of the MATH 113 gateway exam or aminimum grade of C- in MATH 099.MATH-114Elementary Calculus I3 Credits (60:0:0 hours)This course examines the fundamental concept of limits, differentiationand integration. Limits and differentiation of algebraic andtrigonometric functions are studied along with applications includingrelated rates, optimizing and curve sketching. This course concludeswith a study of Riemann sums, the Fundamental Theorem of Calculusand substitution. Note: Students who have received credit in MATH 113or MATH 100 may not take MATH 114 for credit. Prerequisites: PureMathematics 30 and Mathematics 31.MATH-115Elementary Calculus II3 Credits (45:12:0 hours)This course investigates the differentiation and integration oftrigonometric, exponential and logarithmic functions. Indeterminateforms and improper integrals are studied, as well as the techniques andapplications of integration. Note: Credit can only be obtained in one ofMATH 115 or MATH 101.Prerequisites: Minimum grade of C- in MATH 113 or MATH 114.MATH-120Basic Linear Algebra I3 Credits (45:0:0 hours)This is an introduction to the basic notion and methods of linearalgebra. Topics covered are: systems of linear equations, vectorsin n-space, vector equations of lines and planes, dot product andorthogonality, matrix algebra, invertibility of matrices, determinants,general vector spaces, basis and dimension, subspaces of n-space, rank,introduction to linear transformations, introduction to eigenvalues andeigenvectors, applications. NOTE: See also the calendar description ofMATH 125. This course cannot be taken for credit if credit has alreadybeen obtained in either of MATH 102 or MATH 125. Students whoare planning to transfer into Engineering or students planning to takefurther courses in algebra should take MATH 125 rather than MATH120. Prerequisites: MATH 30-1.MATH-125Linear Algebra I3 Credits (45:0:0 hours)This is an enriched introduction to the basic notion and methods oflinear algebra. Topics covered are: systems of linear equations, vectorsin n-space, vector equations of lines and planes, dot product andorthogonality, matrix algebra, invertibility of matrices, determinants,general vector spaces, basis and dimension, subspaces of n-space, rank,introduction to linear transformations, introduction to eigenvalues andeigenvectors, applications. NOTE: This course is an enriched versionof MATH 120, Basic Linear Algebra I. The course covers the same basictopics as MATH 120, however it is a more rigorous course, and selectedtopics and applications are covered in more depth. This course cannotbe taken for credit if credit has already been obtained in either ofMATH 102 or MATH 120. Students who are planning to transfer intoEngineering or students planning to take further courses in algebrashould take MATH 125 rather than MATH 120. Prerequisites: MATH30-1.MATH-160Higher Arithmetic3 Credits (45:0:0 hours)This course emphasizes the development of clarity in the understandingof mathematical ideas and processes, communication of theseideas to others, and application of these ideas to problem solving.Both inductive and deductive methods are explored in the study ofelementary number theory, numeration systems, operations on integersand rational numbers, and elementary probability theory. Note: Thiscourse is restricted to Elementary Education students. Prerequisites: PureMathematics 30 or successful completion of the gateway exam.MATH-200Fundamental Concepts of Mathematics3 Credits (45:0:0 hours)This course provides an introduction to axiomatic systems andmathematical proof. These ideas are developed using examples takenprimarily from set theory and number theory.Prerequisites: Minimum grade of C- in MATH 120 or MATH 125.MATH-214Intermediate Calculus I3 Credits (45:13:0 hours)This course completes the study of single-variable Calculus andintroduces students to the basic concepts of multi-variable Calculus.Topics in single-variable Calculus include area and arc length of planecurves defined by parametric or polar equations, infinite series, andpower series. Topics in multi-variable Calculus include: vector functionsand space curves, functions of several variables and partial derivativeswith applications.Prerequisites: Minimum grade of C- in MATH 115.MATH-215Intermediate Calculus II3 Credits (45:13:0 hours)This course continues the study of multivariable calculus. Topicsinclude: curves, tangent vectors, arc length; integration in two andthree dimensions; polar, cylindrical and spherical coordinates; line andsurface integrals, Green’s, divergence and Stoke’s theorems; first andsecond order linear differential equations.Prerequisites: Minimum grade of C- in MATH 214.318Grant MacEwan University • A C A D E m I CRefer to the Online Alberta Transfer Guide at www.transferalberta.ca for transfer opportunitiesC A L E N D A R 2012/2013 • www.MacEwan.ca