MATH 101W Calculus 1 for the Natural Sciences (WLU)
LEC · Course ID 013934On ucalendarMATH 101W today
Mathematics (MATH)
52 courses in Waterloo’s course catalog for 2020–21 (Fall 2020, Winter 2021, Spring 2021), from UW Open Data. ucalendar asks programs not to read that year’s calendar, so this stands in for it. Original: ucalendar.uwaterloo.ca/2021/COURSE/course-MATH.html
MATH 103 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 linear equations, systems of linear equations, linear inequalities, functions, set theory, permutations and combinations, binomial theorem, probability theory. [Offered: F,W]
Prereq: Open only to students in the following faculties: ARTS, AHS or ENV. Not open to Acc'ting & Fin Mgt students. Antireq: MATH 106, 114, 115, 136, 146, NE 112
LEC · Course ID 006847On ucalendarMATH 103 today
MATH 103W Calculus 1 (WLU)
LEC · Course ID 014233On ucalendarMATH 103W today
MATH 104 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: F,W]
Prereq: Open only to students in the following Faculties: ARTS, AHS, ENV, SCI. Antireq: MATH 127, 137, 147
LEC · Course ID 006848On ucalendarMATH 104 today
MATH 104W Calculus ll (WLU)
LEC · Course ID 013119On ucalendarMATH 104W today
MATH 106 Applied Linear Algebra 1
Systems of linear equations. Matrix algebra. Determinants. Introduction to vector spaces. Applications. [Offered: F,W,S]
Prereq: MATH 103 or 4U Calculus and Vectors; Not open to Computer Science students. Antireq: MATH 114, 115, 136, 146, NE 112
LEC · Course ID 006869On ucalendarMATH 106 today
MATH 110W Introduction to Differential and Integral Calculus
LEC · Course ID 012576On ucalendarMATH 110W today
MATH 114 Linear Algebra for Science
Vectors in 2- and 3-space and their geometry. Linear equations, matrices and determinants. Introduction to vector spaces. Eigenvalues and diagonalization. Applications. Complex numbers. [Offered: F]
Prereq: 4U Calculus and Vectors; Science or Geomatics students only. Antireq: MATH 106, 115, 136, 146, NE 112
LEC · Course ID 011645On ucalendarMATH 114 today
MATH 115 Linear Algebra for Engineering
Linear equations, matrices and determinants. Introduction to vector spaces. Eigenvalues and diagonalization. Applications. Complex numbers. [Offered: F]
Prereq: 4U Calculus and Vectors or 4U Mathematics of Data Management; Engineering students only. Antireq: MATH 106/125, 114, 136, 146, NE 112
LEC · Course ID 006862On ucalendarMATH 115 today
MATH 116 Calculus 1 for Engineering
Functions: review of polynomials, exponential, logarithmic, trigonometric. Operations on functions, curve sketching. Trigonometric identities, inverse functions. Derivatives, rules of differentiation. Mean Value Theorem, Newton's Method. Indeterminate forms and L'Hopital's rule, applications. Integrals, approximations, Riemann definite integral, Fundamental Theorems. Applications of the integral. [Offered: F]
Prereq: 4U Calculus and Vectors; Open to students in Engineering excluding Electrical and Computer Eng, Nanotechnology Eng, Software Eng and Systems Design Eng. Antireq: MATH 117, 124, 127, 137, 147
LEC · Course ID 006865On ucalendarMATH 116 today
MATH 117 Calculus 1 for Engineering
Functions of engineering importance; review of polynomial, exponential, and logarithmic functions; trigonometric functions and identities. Inverse functions (logarithmic and trigonometric). Limits and continuity. Derivatives, rules of differentiation; derivatives of elementary functions. Applications of the derivative, max-min problems, Mean Value Theorem. Antiderivatives, the Riemann definite integral, Fundamental Theorems. Methods of integration, approximation, applications, improper integrals. [Offered: F]
Prereq: 4U Calculus and Vectors; Open only to students in Electrical and Computer Engineering or Software Engineering or Nanotechnology Engineering. Antireq: MATH 116, 124, 127, 137, 147
LEC · Course ID 006866On ucalendarMATH 117 today
MATH 118 Calculus 2 for Engineering
Methods of integration: by parts, trigonometric substitutions, partial fractions; engineering applications, approximation of integrals, improper integrals. Linear and separable first order differential equations, applications. Parametric curves and polar coordinates, arc length and area. Infinite sequences and series, convergence tests, power series and applications. Taylor polynomials and series, Taylor's Remainder Theorem, applications. [Offered: W,S]
Prereq: One of MATH 107, 116, 117, 127, 137, 147; Open only to students in Engineering excluding students in Electrical and Computer Eng, Nanotechnology Eng, Software Eng and Systems Design Eng. Antireq: MATH 108, 119, 128, 138, 148
LEC · Course ID 006867On ucalendarMATH 118 today
MATH 119 Calculus 2 for Engineering
Elementary approximation methods: interpolation; Taylor polynomials and remainder; Newton's method, Landau order symbol, applications. Infinite series: Taylor series and Taylor's Remainder Theorem, geometric series, convergence test, power series, applications. Functions of several variables: partial derivatives, linear approximation and differential, gradient and directional derivative, optimization and Lagrange multipliers. Vector-valued functions: parametric representation of curves, tangent and normal vectors, line integrals and applications. [Offered: W,S]
Prereq: One of MATH 107, 116, 117, 127, 137, 147; Open only to students in Electrical and Computer Engineering or Software Engineering or Nanotechnology Engineering. Antireq: MATH 108, 118, 128, 138, 148
LEC · Course ID 006868On ucalendarMATH 119 today
MATH 121W Introduction to Mathematical Proofs (WLU)
LEC · Course ID 014214On ucalendarMATH 121W today
MATH 122W Introductory Linear Algebra (WLU)
LEC · Course ID 013312On ucalendarMATH 122W today
MATH 124 Calculus and Vector Algebra for Kinesiology
Review of trigonometry and basic algebra. Introduction to vectors in 2- and 3-space: sums, addition, dot products, cross products and angles between vectors. Solving linear systems in two and three variables. Functions of a real variable: powers, rational functions, trigonometric, exponential and logarithmic functions, their properties. Intuitive discussion of limits and continuity. Derivatives of elementary functions, derivative rules; applications to curve sketching, optimization. Relationships between distance, velocity and acceleration. The definite integral, antiderivatives, the Fundamental Theorem of Calculus; change of variable and integration by parts; applications to area, centre of mass. [Offered: F]
Prereq: 4U Advanced Functions; Kinesiology students only. Antireq: MATH 109, 116, 117, 127, 137, 147
LEC · Course ID 012879On ucalendarMATH 124 today
MATH 127 Calculus 1 for the Sciences
Functions of a real variable: powers, rational functions, trigonometric, exponential and logarithmic functions, their properties and inverses. Intuitive discussion of limits and continuity. Definition and interpretation of the derivative, derivatives of elementary functions, derivative rules and applications. Riemann sums and other approximations to the definite integral. Fundamental theorems and antiderivatives; change of variable. Applications to area, rates, average value. [Offered: F,W,S; online: F,W,S]
LEC · Course ID 006871On ucalendarMATH 127 today
MATH 128 Calculus 2 for the Sciences
Transforming and evaluating integrals; application to volumes and arc length; improper integrals. Separable and linear first order differential equations and applications. Introduction to sequences. Convergence of series; Taylor polynomials, Taylor's Remainder theorem, Taylor series and applications. Parametric/vector representation of curves; particle motion and arc length. Polar coordinates in the plane. [Offered: F,W,S; online: F,W,S]
LEC · Course ID 006872On ucalendarMATH 128 today
MATH 129W Introductory Calculus for Business and Social Sciences (WLU)
LEC · Course ID 013235On ucalendarMATH 129W today
MATH 135 Algebra for Honours Mathematics
An introduction to the language of mathematics and proof techniques through 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. [Offered: F,W,S]
Prereq: 4U Calculus and Vectors or 4U Mathematics of Data Management; Honours Mathematics or Mathematics/ELAS or Software Engineering students only. Antireq: MATH 145
LEC · Course ID 006878On ucalendarMATH 135 today
MATH 136 Linear Algebra 1 for Honours Mathematics
Systems of linear equations, matrix algebra, elementary matrices, computational issues. Real n-space, vector spaces and subspaces, basis and dimension, rank of a matrix, linear transformations, and matrix representations. Determinants, eigenvalues and diagonalization, applications. [Offered: F,W,S; online: F,W,S]
Prereq: (MATH 135 with a grade of at least 60% or MATH 145; Honours Mathematics or Mathematics/ELAS students) or Science Mathematical Physics students. Antireq: MATH 106, 114, 115, 146, NE 112
LEC · Course ID 006879On ucalendarMATH 136 today
MATH 137 Calculus 1 for Honours Mathematics
Absolute values and inequalities. Sequences and their limits. Introduction to series. Limits of functions and continuity. The Intermediate Value theorem and approximate solutions to equations. Derivatives, linear approximation, and Newton's method. The Mean Value theorem and error bounds. Applications of the Mean Value theorem, Taylor polynomials and Taylor's theorem, Big-O notation. Suitable topics are illustrated using computer software. [Offered: F,W,S; online: F,W,S]
Prereq: 4U Calculus and Vectors. Antireq: MATH 116, 117, 127, 147
LEC · Course ID 006880On ucalendarMATH 137 today
MATH 138 Calculus 2 for Honours Mathematics
Introduction to the Riemann integral and approximations. Antiderivatives and the fundamental theorem of calculus. Change of variables, methods of integration. Applications of the integral. Improper integrals. Linear and separable differential equations and applications. Tests for convergence for series. Binomial series, functions defined as power series and Taylor series. Vector (parametric) curves in R2. Suitable topics are illustrated using computer software. [Offered: F,W,S; online: F,W,S]
Prereq: (MATH 116 or 117 or 127 with a grade of at least 70%) or MATH 137 with a grade of at least 60% or MATH 147. Antireq: MATH 118, 119, 128, 148
LEC · Course ID 006881On ucalendarMATH 138 today
MATH 145 Algebra (Advanced Level)
MATH 145 is an advanced-level version of MATH 135. [Offered: F]
Prereq: 4U Calculus and Vectors or 4U Mathematics of Data Management; Honours Mathematics students only. Antireq: MATH 135
LEC · Course ID 006886On ucalendarMATH 145 today
MATH 146 Linear Algebra 1 (Advanced Level)
MATH 146 is an advanced-level version of MATH 136. [Note: Students who receive a minimum grade of 90% in MATH 135 may contact the instructor of MATH 146 to seek admission without the formal prerequisites. Offered: W]
LEC · Course ID 006887On ucalendarMATH 146 today
MATH 147 Calculus 1 (Advanced Level)
MATH 147 is an advanced-level version of MATH 137. [Offered: F]
Prereq: 4U Calculus and Vectors; Honours Mathematics students only. Antireq: MATH 116, 117, 124, 127, 137
LEC · Course ID 006888On ucalendarMATH 147 today
MATH 148 Calculus 2 (Advanced Level)
MATH 148 is an advanced-level version of MATH 138. [Note: Students who receive a minimum grade of 90% in MATH 137 may contact the instructor of MATH 148 to seek admission without the formal prerequisites.Offered: W]
LEC · Course ID 006889On ucalendarMATH 148 today
MATH 170W Introduction to Mathematics for Finance (WLU)
LEC · Course ID 013935On ucalendarMATH 170W today
MATH 199 Mathematical Discovery and Invention
A course in problem solving in which intriguing and difficult problems are solved. Problems are taken mainly from the elementary parts of applied mathematics, computer science, statistics and actuarial science, pure mathematics, and combinatorics and optimization. Material relevant to the problems is taught in depth.
LEC · Course ID 015595On ucalendarMATH 199 today
MATH 201W Multivariable Calculus (WLU)
LEC · Course ID 014903On ucalendarMATH 201W today
MATH 207 Calculus 3 (Non-Specialist Level)
Multivariable functions and partial derivatives. Gradients. Optimization including Lagrange multipliers. Polar coordinates. Multiple integrals. Surface integrals on spheres and cylinders. Introduction to Fourier Series. [Offered: F,W,S]
LEC · Course ID 013105On ucalendarMATH 207 today
MATH 211 Advanced Calculus 1 for Electrical and Computer Engineers
Fourier series. Ordinary differential equations. Laplace transform. Applications to linear electrical systems. [Offered: F,W]
LEC · Course ID 006891On ucalendarMATH 211 today
MATH 212 Advanced Calculus 2 for Electrical Engineers
Triple integrals, cylindrical and spherical polar coordinates. Divergence and curl, applications. Surface integrals, Green's, Gauss' and Stokes' theorems, applications. Complex functions, analytic functions, contour integrals, Cauchy's integral formula, Laurent series, residues. [Offered: F,S]
Prereq: MATH 211/ECE 205; Not open to Mathematics students. Antireq: AMATH 231, MATH 207, 217, 227, 237, 247
LEC · Course ID 006892On ucalendarMATH 212 today
MATH 213 Signals, Systems, and Differential Equations
Fourier series. Differential equations. Laplace transforms. Applications to circuit analysis. [Offered: W]
Prereq: MATH 119; Software Engineering students only. Antireq: AMATH 250, 251, MATH 211/ECE 205, 218, 228, MATH 212N/NE 217
LEC · Course ID 011849On ucalendarMATH 213 today
MATH 215 Linear Algebra for Engineering
Systems of linear equations; their representation with matrices and vectors; their generalization to linear transformations on abstract vector spaces; and the description of these linear transformations through quantitative characteristics such as the determinant, the characteristic polynomial, eigenvalues and eigenvectors, the rank, and singular values. [Offered F,W]
Prereq: Level at least 2A Computer Engineering or Electrical Engineering students only. Antireq: MATH 106, 114, 115, 136, 146, NE 112
LEC · Course ID 013464On ucalendarMATH 215 today
MATH 217 Calculus 3 for Chemical Engineering
Curves and surfaces in R3. Multivariable functions, partial derivatives, the chain rule, gradients. Optimization, Lagrange Multipliers. Double and triple integrals, change of variable. Vector fields, divergence and curl. Vector integral calculus: 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, ENVE 221, MATH 207, 212/ECE 206, MATH 212N, 227, 237, 247, ME 201
LEC · Course ID 006897On ucalendarMATH 217 today
MATH 218 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,S]
Prereq: One of MATH 118, 119, 128, 138, 148, SYDE 112; Engineering or Earth Science students only. Antireq: AMATH 250, 251, 350, 351, CIVE 222, ENVE 223, MATH 211/ECE 205, MATH 212N, 228, ME 203, SYDE 211
LEC · Course ID 006898On ucalendarMATH 218 today
MATH 225 Applied Linear Algebra 2
Vector spaces. Linear transformations and matrices. Inner products. Eigenvalues and eigenvectors. Diagonalization. Applications. [Offered: F,S; online: W]
LEC · Course ID 006870On ucalendarMATH 225 today
MATH 227 Calculus 3 for Honours Physics
Directional derivative and the chain rule for multivariable functions. Optimization, Lagrange multipliers. Double and triple integrals on simple domains; transformations and Jacobians; change of variable in multiple integrals. Vector fields, divergence and curl. Vector integral calculus: Line and surface integrals, Green's Theorem, Stokes' Theorem, Gauss' Theorem, conservative vector fields. [Offered: F]
Prereq: MATH 128 or 138; Only open to Science students in honours plans. Antireq: AMATH 231, MATH 207, 212/ECE 206, 217, 237, 247, MATH 212N/NE 217
LEC · Course ID 006907On ucalendarMATH 227 today
MATH 228 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; online: W,S]
LEC · Course ID 006908On ucalendarMATH 228 today
MATH 229 Introduction to Combinatorics (Non-Specialist Level)
Introduction to graph theory: colourings, connectivity, Eulerian tours, planarity. Introduction to combinatorial analysis: elementary counting, generating series, binary strings. [Offered: F]
LEC · Course ID 013104On ucalendarMATH 229 today
MATH 235 Linear Algebra 2 for Honours Mathematics
Orthogonal and unitary matrices and transformations. Orthogonal projections, Gram-Schmidt procedure, best approximations, least-squares. Inner products, angles and orthogonality, orthogonal diagonalization, singular value decomposition, applications. [Note: Offered: F,W,S]
Prereq: (MATH 106 or 114 or 115 with a grade of at least 70%) or (MATH 136 with a grade of at least 60%) or MATH 146; Honours Mathematics or Mathematical Physics students. Coreq: MATH 128 or 138 or 148. Antireq: MATH 225, 245
LEC · Course ID 006913On ucalendarMATH 235 today
MATH 235W Introduction to Game Theory (WLU)
LEC · Course ID 011754On ucalendarMATH 235W today
MATH 237 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 in various co-ordinate systems. [Note: MATH 247 may be substituted for MATH 237 whenever the latter is a plan requirement. Offered: F,W,S]
Prereq: (MATH 106 or 114 or 115 or 136 or 146) and (MATH 128 with at least 70% or MATH 138 with at least 60% or MATH 148); Honours Math or Math/Physics students. Antireq: MATH 207, 212/ECE 206, MATH 212N, 217, 227
LEC · Course ID 006914On ucalendarMATH 237 today
MATH 239 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: F,W,S]
Prereq: ((MATH 106 with a grade of at least 70% or MATH 136 or 146) and (MATH 135 with a grade of at least 60% or MATH 145)) or level at least 2A Software Engineering; Honours Mathematics students only. Antireq: CO 220, MATH 229, 249
LEC · Course ID 006915On ucalendarMATH 239 today
MATH 245 Linear Algebra 2 (Advanced Level)
MATH 245 is an advanced-level version of MATH 235. [Offered: F,S]
LEC · Course ID 006920On ucalendarMATH 245 today
MATH 247 Calculus 3 (Advanced Level)
Topology of real n-dimensional space: completeness, closed and open sets, connectivity, compact sets, continuity, uniform continuity. Differential calculus on multivariable functions: partial differentiability, differentiability, chain rule, Taylor polynomials, extreme value problems. Riemann integration: Jordan content, integrability criteria, Fubini's theorem, change of variables. Local properties of continuously differentiable functions: open mapping theorem, inverse function theorem, implicit function theorem. [Offered: F,W,S]
Prereq: MATH 146, 148; Honours Mathematics students only
LEC · Course ID 006921On ucalendarMATH 247 today
MATH 249 Introduction to Combinatorics (Advanced Level)
MATH 249 is an advanced-level version of MATH 239. [Offered: F,W]
Prereq: (MATH 135 with minimum grade of 80% or MATH 145) and (MATH 136 or 146); Honours Mathematics students only. Antireq: CO 220, MATH 229, 239
LEC · Course ID 006922On ucalendarMATH 249 today
MATH 304W Introduction to Complex Analysis (WLU)
LEC · Course ID 014110On ucalendarMATH 304W today
MATH 305W Differential Equations II
LEC · Course ID 014111On ucalendarMATH 305W today
MATH 455W Partial Differential Equations (WLU)
LEC · Course ID 015801On ucalendarMATH 455W today
MATH 475W Ring And Field Theory (WLU)
LEC · Course ID 015876On ucalendarMATH 475W today