Course Descriptions  Undergraduate Calendar 20192020University of Waterloo Home  Undergraduate Calendar  Course Description Index  Contact Us  Privacy 


MATH 52 LEC 0.00  Course ID: 010375 
PreUniversity 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 Online 
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 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  
Also offered Online 
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: F,W]  
Prereq: Open only to students in the following Faculties: ARTS, AHS, ENV, SCI.  
Antireq: MATH 127, 137, 147  
Also offered Online 
MATH 106 LEC,TUT 0.50  Course ID: 006869 
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  
Also offered Online 
MATH 127 LEC,TUT 0.50  Course ID: 006871 
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]  
Prereq: MATH 104 or 4U Calculus and Vectors.  
Antireq: MATH 109, 116, 117, 124, 137, 147  
Also offered Online 
MATH 128 LEC,TUT 0.50  Course ID: 006872 
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]  
Prereq: One of MATH 117, 127, 137, 147.  
Antireq: MATH 118, 119, 138, 148  
Also offered Online 
MATH 135 LEC,TST,TUT 0.50  Course ID: 006878 
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  
Also offered Online 
MATH 136 LAB,LEC,TST,TUT 0.50  Course ID: 006879 
Linear Algebra 1 for Honours Mathematics  
Systems of linear equations, matrix algebra, elementary matrices, computational issues. Real nspace, 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]  
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  
Also offered Online 
MATH 137 LAB,LEC,TST,TUT 0.50  Course ID: 006880 
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, BigO notation. Suitable topics are illustrated using computer software. [Offered: F,W,S]  
Prereq: 4U Calculus and Vectors.  
Antireq: MATH 116, 117, 127, 147  
Also offered Online 
MATH 138 LEC,TST,TUT 0.50  Course ID: 006881 
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]  
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  
Also offered Online 
MATH 199 LEC 0.50  Course ID: 015595 
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.  
Instructor Consent Required  
Only offered Online 
MATH 225 LEC,TUT 0.50  Course ID: 006870 
Applied Linear Algebra 2  
Vector spaces. Linear transformations and matrices. Inner products. Eigenvalues and eigenvectors. Diagonalization. Applications. [Offered: F,S]  
Prereq: MATH 106 or 136 or 146.  
Antireq: MATH 235, 245  
Also offered Online 
MATH 228 LEC,TUT 0.50  Course ID: 006908 
Differential Equations for Physics and Chemistry  
Firstorder equations, secondorder 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 or 138; Not open to Mathematics students.  
Antireq: AMATH 250, 251, 350  
Also offered Online 
MATH 235 LEC,TST,TUT 0.50  Course ID: 006913 
Linear Algebra 2 for Honours Mathematics  
Orthogonal and unitary matrices and transformations. Orthogonal projections, GramSchmidt procedure, best approximations, leastsquares. 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  
Also offered Online 