Course Descriptions  Undergraduate Calendar 20072008University of Waterloo Home Page  Undergraduate Calendar  Course Description Index  Contact Us 


MATH 51 LEC 0.00  Course ID: 010374 
PreUniversity 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 
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 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.  
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: F]  
Prereq: Open only to students in the following Faculties: ARTS, AHS, ES.  
Antireq: OAC Calculus, 4U Advanced Functions and Introductory Calculus  
Also offered by Distance Education 
MATH 125 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 OAC Algebra & Geometry or 4U Geometry and Discrete Mathematics or 4U Mathematics of Data Management or OAC Finite Mathematics; Not open to Honours Mathematics students.  
Antireq: MATH 114, 115, 136/146  
Also offered by Distance Education 
MATH 126 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: 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 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: OAC Calculus or 4U Advanced Functions and Introductory Calculus; Not open to Honours Mathematics students.  
Antireq: MATH 107, 109, 116, 117, 137/147  
Also offered by Distance Education 
MATH 128 LEC,TUT 0.50  Course ID: 006872 
Calculus 2 for the Sciences  
Transforming and evaluating definite integrals; further applications to volumes, arc length, improper integrals. Separable and linear first order differential equations and applications. Convergence of series; Taylor polynomials, Taylor's Remainder Theorem, Taylor series and applications. Parametric/vector representation of curves, particle motion, arc length, line integrals and work. Polar coordinates in the plane. Functions of two variables, partial derivatives, the linear approximation/tangent plane, chain rule, directional derivative and the gradient. [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 
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