Undergraduate Calendar 2002-2003
Undergraduate Calendar 2002-2003 | |
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| MATH 1B LEC 0.00 | Course ID: 010376 |
| Pre-University Functions | |
| Polynomial and rational functions, Remainder Theorem, trigonometric and inverse trigonometric functions, logarithmic and exponential functions, inequalities, sequences and series. | |
| Only offered by Distance Education | |
| MATH 51 LEC 0.00 | Course ID: 010374 |
| Pre-University Algebra and Geometry | |
| Topics covered in the course include operations with vectors, scalar multiplications dot and cross products, projections, equations of lines and planes, systems of equations, Gaussian elimination, operations with matrices, determinants, binomial theorem, proof by mathematical induction, complex numbers. | |
| Only offered by Distance Education | |
| MATH 52 LEC 0.00 | Course ID: 010375 |
| Pre-University Calculus | |
| The concepts included are limits, derivatives, antiderivatives and definite integrals. These concepts will be applied to solve problems of rates of change, maximum and minimum, curve sketching and areas. The classes of functions used to develop these concepts and applications are: polynomial, rational, trigonometric, exponential and logarithmic. | |
| Only offered by Distance Education | |
| MATH 97 LEC 2.50 | Course ID: 010113 |
| Study Abroad | |
| For studies at other universities under approved exchange agreements. | |
| Department Consent Required | |
| MATH 103 LEC,TUT 0.50 | Course ID: 006847 |
| Introductory Algebra For Arts and Social Science | |
| An introduction to applications of algebra to business, the behavioural sciences, and the social sciences. Topics will be chosen from set theory, permutations and combinations, binomial theorem, probability theory, systems of linear equations, vectors and matrices, mathematical induction. [Offered: F,W,S] | |
| Prereq: Open only to students in the following Faculties: ARTS, AHS, ES or IS. | |
| Antireq: OAC Finite Mathematics, OAC Algebra & Geometry, 4U Geometry and Discrete Mathematics | |
| Also offered by Distance Education | |
| MATH 104 LEC,TUT 0.50 | Course ID: 006848 |
| Introductory Calculus For Arts and Social Science | |
| An introduction to applications of calculus in business, the behavioural sciences, and the social sciences. The models studied will involve polynomial, rational, exponential and logarithmic functions. The major concepts introduced to solve problems are rate of change, optimization, growth and decay, and integration. [Offered: W] | |
| Prereq: Open only to students in the following Faculties: ARTS, AHS, ES or IS | |
| Antireq: OAC Calculus, 4U Advanced Functions and Introductory Calculus | |
| Also offered by Distance Education | |
| MATH 109 LEC,TUT 0.50 | Course ID: 006853 |
| Mathematics For Accounting | |
| Review and extension of differential calculus for functions of one variable. Multivariable differential calculus. Partial derivatives, the chain rule, maxima and minima and Lagrange multipliers. Mathematics of finance. Simple and compound interest, present value, annuities and continuous compounding. [Offered: F] | |
| Prereq: MATH 104 or OAC Calculus or 4U Advanced Functions and Introductory Calculus; Arts Accountancy and Biotechnology/Chartered Accountancy students only | |
| Antireq: Any first year calculus course | |
| MATH 115 LEC,TUT 0.50 | Course ID: 006862 |
| Linear Algebra for Engineering | |
| Linear equations, matrices and determinants. Introduction to vector spaces. Eigenvalues and diagonalization. Introduction to linear programming. Complex numbers. [Offered: F] | |
| Prereq: OAC Algebra & Geometry or 4U Geometry and Discrete Mathematics; Open only to Engineering and Science students. | |
| Antireq: MATH 125, 136/146 | |
| MATH 117 LEC,TUT 0.50 | Course ID: 006866 |
| Calculus 1 For Engineering | |
| Limits, continuity, derivatives. Elementary funtions. Mean Value Theorem. Related rates, applications. Newton's method. Indeterminate forms and L'Hotpital's Rule. Indefinite and definite integrals. Fundamental Theorem. Applications of the integral. Improper integrals. Inverse functions. Methods of integration. [Offered: F] | |
| Prereq: OAC Calculus or 4U Advanced Functions and Introductory Calculus; Open to all Engineering students except Software Engineering. | |
| Antireq: Math 107, 127, 137/147 | |
| MATH 118 LEC,TUT 0.50 | Course ID: 006867 |
| Calculus 2 For Engineering | |
| Methods of integration (continued). Parametric and polar equations. Sequences and series, convergence tests. Power series, Taylor series. Functions of several variables, partial derivatives, chain rule. First-order and reducible second-order ordinary differential equations. Applications. | |
| Prereq: MATH 107 or 117 or 127 or 137/147; Not open to students in Electrical and Computer Engineering or Mathematics. | |
| Antireq: MATH 108, 119, 128, 138/148 | |
| MATH 119 LEC,TUT 0.50 | Course ID: 006868 |
| Calculus 2 for Engineering | |
| Methods of integration (continued). Parametric and polar equations. Sequences and series, convergence tests. Power series, Taylor series. Functions of several variables, partial derivatives, chain rule, implicit differentiation. Double integrals, iterated integrals, applications. Change of variables, Jacobians, polar coordinates. Triple integrals, cylindrical and spherical coordinates. [Offered: W,S] | |
| Prereq: MATH 107 or 117 or 127 or 137/147; Open only to students in Electrical and Computer Engineering. | |
| Antireq: MATH 108, 118, 128, 138/148 | |
| MATH 125 LEC,TUT 0.50 | Course ID: 006869 |
| Applied Linear Algebra 1 | |
| Vectors in 2- and 3-space and their geometry. Vectors in n-space. Scalar and vector products. Matrices. Systems of linear equations. Determinants. Complex numbers. Applications. [Offered: F,W,S] | |
| Prereq: One of MATH 103, OAC Algebra & Geometry, 4U Geometry and Discrete Mathematics, OAC Finite Mathematics; Not open to Honours Mathematics students. | |
| Antireq: MATH 115, MATH 136/146. | |
| Also offered by Distance Education | |
| MATH 126 LEC,TUT 0.50 | Course ID: 006870 |
| Applied Linear Algebra 2 | |
| Linear independence and bases. Linear transformations and matrices. Orthogonal transformations. Eigenvalues and eigenvectors. Diagonalization. Applications. [Offered: F,W,S] | |
| Prereq: MATH 125 or 136/146; Not open to Honours Mathematics students. | |
| Antireq: MATH 235/245 | |
| Also offered by Distance Education | |
| MATH 127 LEC,TUT 0.50 | Course ID: 006871 |
| Calculus 1 | |
| Review of functions, limits, continuity and differentiation, including trigonometric, exponential, logarithmic, power and rational functions and their inverses. Interpretation and applications of the derivative. Riemann sums and the integral. Antiderivatives and the Fundamental Theorems of Calculus. Applications of the integral. Transforming and evaluating integrals. Improper integrals. [Offered: F,W,S] | |
| Prereq: OAC Calculus or 4U Advanced Functions and Introductory Calculus; Not open to Honours Mathematics students. | |
| Antireq: MATH 107, 109, 117, 137/147 | |
| Also offered by Distance Education | |
| MATH 128 LEC,TUT 0.50 | Course ID: 006872 |
| Calculus 2 | |
| Separable and linear differential equations of first and second order. Convergence of power series. Taylor polynomials and Taylor series. Parametric representation of curves; applications to motion in R2. and R3. Polar coordinates in R2. Functions of two variables. Partial derivatives and the linear approximation. The Chain Rule. Directional derivatives. Maxima and minima; optimization problems. [Offered: F,W,S] | |
| Prereq: MATH 107 or 117 or 127 or 137/147; Not open to Honours Mathematics students. | |
| Antireq: MATH 108, 118, 119, 138/148 | |
| Also offered by Distance Education | |
| MATH 135 LEC,TST,TUT 0.50 | Course ID: 006878 |
| Algebra For Honours Mathematics | |
| A study of the basic algebraic systems of mathematics: the integers, the integers modulo n, the rational numbers, the real numbers, the complex numbers and polynomials. | |
| [Note: OAC Algebra required. Offered at St. Jerome's University in the Fall term. Offered: F,W,S] | |
| Instructor Consent Required | |
| Prereq: OAC Algebra & Geometry or 4U Geometry and Discrete Mathematics; Honours Mathematics students only . | |
| Antireq: MATH 145 | |
| Also offered at St. Jerome's University | |
| MATH 136 LAB,LEC,TST,TUT 0.50 | Course ID: 006879 |
| Linear Algebra 1 For Honours Mathematics | |
| Vector spaces, linear independence and bases. Linear transformations, matrices and change of basis. Systems of linear equations, elementary operations and rank of a matrix. Applications. | |
| [Note: Offered at St. Jerome's University in the Winter term. Offered: F,W,S] | |
| Prereq: MATH 135/145; Honours Mathematics students only. | |
| Antireq: MATH 115, 125, 146 | |
| Also offered at St. Jerome's University | |
| MATH 137 LEC,TST,TUT 0.50 | Course ID: 006880 |
| Calculus 1 For Honours Mathematics | |
| Functions, limits, and continuity. Review of differentiation. Interpretation and applications of the derivative. The Mean Value Theorem. Inverse functions. Riemann sums and the integral. Antiderivatives and the Fundamental Theorem of Calculus. Applications of the integral. Transforming and evaluating integrals. | |
| [Note: Offered at St. Jerome's University in the Fall term. Offered: F,W,S] | |
| Instructor Consent Required | |
| Prereq: OAC Calculus or 4U Advanced Functions and Introductory Calculus; Honours Mathematics or Software Engineering students only. | |
| Antireq: MATH 107, 117, 127, 147 | |
| Also offered at St. Jerome's University | |
| MATH 138 LEC,TST,TUT 0.50 | Course ID: 006881 |
| Calculus 2 For Honours Mathematics | |
| Separable and linear differential equations. Taylor's theorem and polynomial approximations. L'Hopital's theorem and order symbols. Limits at infinity and improper integrals. Convergence of series. Functions defined as power series. Parametric representation of curves, arc length. Functions of two variables. Partial derivatives and the linear approximation. | |
| [Note: Offered at St. Jerome's University in the Winter term. Offered: F,W,S] | |
| Prereq: MATH 137/147; Honours Mathematics or Software Engineering students only. | |
| Antireq: MATH 108, 118, 119, 128, 148 | |
| Also offered at St. Jerome's University | |
| MATH 145 LEC,TST,TUT 0.50 | Course ID: 006886 |
| Algebra (Advanced Level) | |
| MATH 145 is an advanced-level version of MATH 135. | |
| [Note: OAC Algebra required. Offered: F] | |
| Department Consent Required | |
| Prereq: OAC Algebra & Geometry or 4U Geometry and Discrete Mathematics; Honours Mathematics students only. | |
| Antireq: MATH 135 | |
| MATH 146 LAB,LEC,TST,TUT 0.50 | Course ID: 006887 |
| Linear Algebra 1 (Advanced level) | |
| MATH 146 is an advanced-level version of MATH 136. [Offered: W,S] | |
| Prereq: MATH 145; Honours Mathematics students only. | |
| Antireq: MATH 115, 125, 136 | |
| MATH 147 LEC,TST,TUT 0.50 | Course ID: 006888 |
| Calculus 1 (Advanced Level) | |
| MATH 147 is an advanced-level version of MATH 137. | |
| [Note: Offered: F] | |
| Department Consent Required | |
| Prereq: OAC Calculus or 4U Advanced Functions and Introductory Calculus; Honours Mathematics students only. | |
| Antireq: MATH 107, 117, 127, 137 | |
| MATH 148 LEC,TST,TUT 0.50 | Course ID: 006889 |
| Calculus 2 (Advanced Level) | |
| MATH 148 is an advanced-level version of MATH 138. [Offered: W,S] | |
| Prereq: MATH 147; Honours Mathematics students only. | |
| Antireq: MATH 108, 118, 119, 128, 138 | |
| MATH 211 LEC,TUT 0.50 | Course ID: 006891 |
| Advanced Calculus 1 For Electrical and Computer Engineers | |
| Fourier series. Ordinary differential equations. Laplace transform. Applications to linear electrical systems. [Offered: F,W] | |
| Prereq: MATH 119; Not open to Mathematics students. | |
| Antireq: MATH 218, 228 | |
| (Cross-listed with ECE 205) | |
| MATH 212 LEC,TUT 0.50 | Course ID: 006892 |
| Advanced Calculus 2 For Electrical Engineers | |
| Gradient, directional derivative, divergence and curl; applications. Line and surface integrals. Green's, Gauss', and Stokes' theorems; applications. Complex functions, analytic functions, contour integrals, Cauchy's integral formula, Laurent series, residues. [Offered: F] | |
| Prereq: MATH 211; Not open to Mathematics students. | |
| Antireq: AMATH 231, MATH 217, 227P | |
| (Cross-listed with ECE 206) | |
| MATH 217 LEC,TUT 0.50 | Course ID: 006897 |
| Calculus 3 for Chemical Engineering | |
| Optimization problems including the method of Lagrange multipliers. Double and triple integrals, including transformations and change of variable. Vector fields, divergence and curl. Vector integral calculus, including Green's theorem, the divergence theorem and Stokes' theorem. Applications in engineering are emphasized. [Offered: F,W] | |
| Prereq: MATH 118; Not open to Mathematics students. | |
| Antireq: AMATH 231, CIVE 221, ECE 206, ENVE 221, ME 201, MATH 212, 227P, 237/247 | |
| MATH 218 LEC,TUT 0.50 | Course ID: 006898 |
| Differential Equations For Engineers | |
| First order equations, second order linear equations with constant coefficients, series solutions, the Laplace transform method, systems of linear differential equations. Applications in engineering are emphasized. [Offered: F,W,S] | |
| Prereq: MATH 118 or SYDE 112; Engineering students only. | |
| Antireq: AMATH 250, 251, 351, CIVE 222, ECE 205, ENVE 223, ME 203, MATH 211, 228, SYDE 211 | |
| MATH 227P LEC,TUT 0.50 | Course ID: 006907 |
| Calculus 3 for Honours Physics | |
| Vector fields, divergence and curl. Double and triple integrals. Transformations and Jacobians. Change of variable in multiple integrals. Line and surface integrals. Vector integral calculus. Green's theorem, Stokes' theorem and Gauss' theorem. Conservative vector fields. [Offered: F] | |
| Prereq: MATH 128; Not open to Mathematics students. | |
| Antireq: MATH 212, 217, 237/247, AMATH 231 | |
| MATH 228 LEC,TUT 0.50 | Course ID: 006908 |
| Differential Equations For Physics and Chemistry | |
| First-order equations, second-order linear equations with constant coefficients, series solutions and special functions, the Laplace transform method. Applications in physics and chemistry are emphasized. [Offered: F,W] | |
| Prereq: MATH 128; Not open to Mathematics students. | |
| Antireq: AMATH 250, MATH 218, 215, 216 | |
| MATH 235 LEC,TST,TUT 0.50 | Course ID: 006913 |
| Linear Algebra 2 For Honours Mathematics | |
| Determinants. Eigenvalues, diagonalization and the minimal polynomial. Inner products, orthonormal bases, orthogonal and unitary matrices, quadratic forms. Applications. | |
| [Note: Offered at St. Jerome's University in the Fall term. Offered: F,W,S] | |
| Prereq: MATH 136/146; Honours Mathematics students only. | |
| Antireq: MATH 126, 245 | |
| Also offered at St. Jerome's University | |
| MATH 237 LEC,TST,TUT 0.50 | Course ID: 006914 |
| Calculus 3 For Honours Mathematics | |
| Calculus of functions of several variables. Limits, continuity, differentiability, the chain rule. The gradient vector and the directional derivative. Taylor's formula. Optimization problems. Mappings and the Jacobian. Multiple integrals. | |
| [Note: Offered at St. Jerome's University in the Fall term. Offered: F,W,S] | |
| Prereq: MATH 136/146, 138/148; Honours Mathematics students only. | |
| Antireq: MATH 212, 217, 227P, 247 | |
| Also offered at St. Jerome's University | |
| MATH 239 LEC,TST,TUT 0.50 | Course ID: 006915 |
| Introduction to Combinatorics | |
| Introduction to graph theory: colourings, matchings, connectivity, planarity. Introduction to combinatorial analysis: generating series, recurrence relations, binary strings, plane trees. | |
| [Note: Offered at St. Jerome's University in the Fall term. Offered: F,W,S] | |
| Prereq: MATH 136/146, 138/148; Honours Mathematics students only. | |
| Antireq: MATH 249, CO 220, 230 | |
| Also offered at St. Jerome's University | |
| MATH 245 LEC,TST 0.50 | Course ID: 006920 |
| Linear Algebra 2 (Advanced Level) | |
| MATH 245 is an advanced-level version of MATH 235. [Offered: F,W] | |
| Prereq: MATH 146; Honours Mathematics students only. | |
| Antireq: MATH 126, 235 | |
| MATH 247 LEC,TST 0.50 | Course ID: 006921 |
| Calculus 3 (Advanced Level) | |
| MATH 247 is an advanced-level version of MATH 237. [Offered: F,W] | |
| Prereq: MATH 146, 148; Honours Mathematics students only. | |
| Antireq: MATH 212, 217, 227P, 237 | |
| MATH 249 LEC,TST 0.50 | Course ID: 006922 |
| Introduction to Combinatorics (Advanced Level) | |
| MATH 249 is an advanced-level version of MATH 239. [Offered: F,W] | |
| Prereq: MATH 136/146, 138/148; Honours Mathematics students only. | |
| Antireq: MATH 239, CO 220, 230 | |
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The Undergraduate Calendar is published by the
Office of the Registrar, University of Waterloo,
Waterloo, ON N2L 3G1 Canada
Inquiries: infoucal@www.adm.uwaterloo.ca
Revised April 2002