The
Greater Montreal Center for Distance Education offers the same
mathematics courses as all Québec school boards offering
adult education.
Secondary
I
Operations
on Integers — MTH-1005-2
This
is the first in a series of three courses on the four operations
(+, -, x, ÷). In this course, students master the four
operations on integers (Z).
Operations
on Fractions — MTH-1006-2
This is the second in a series of three compulsory courses
on the four operations (+, -, x, ÷). In this course,
students master the four operations in Q (fractions, mixed
numbers and improper fractions).
Operations
on Decimals and Percent —MTH-1007-2
This
is the third in a series of three compulsory courses on the
four operations (+, -, x, ÷). In this course,
students master the four operations on decimals and percents.
Secondary II
Equations
and Inequalities I — MTH-2006-2 This is the first of two compulsory courses on algebra.
In this course, students learn to solve equations and inequalities
in R.
Geometry
I — MTH-2007-2
This is the first in a series of three compulsory courses
on geometry. In this course, students learn basic concepts
in geometry (angles, straight lines, polygons, etc.) They
also learn to construct figures using a ruler, a square,
a compass and a protactor and to use the Pythagorean Theorem.
Statistics
and Probability I — MTH-2008-2
This is the first compulsory course on basic concepts
in statistics and probabilities. In this course, students
learn to make frequency distribution tables as well as
different charts (bar charts, pictographs, pie charts,
histograms), and
are introduced to the calculation of probabilities
Secondary III
Operations
on Polynomials (MTH-3001-2) — MTH-3015-2 This is the second of two compulsory courses
on algebra. In this course, students master the four operations
(+, -, x, ÷) on polynomials.
Geometry
II (MTH-3002-2)
—MTH - 3016-2
This is the second in a series of three compulsory courses
on geometry. In this course, students learn to construct
triangles and quadrilaterals. They also learn to calculate
the perimeter and the area of polygons and circles, as well
as the lateral area, total area and volume of solids.
Straight
Lines I (MTH-3002-3) — MTH
- 3017-2
This is the first of two courses on straight lines. In this
course, students acquire a knowledge of the analytical geometry
of straight lines by drawing graphs of straight lines and
determining the corresponding equations.
Secondary IV
Equations
and Inequalities II — MTH-4101-2 This
is the second of two compulsory courses on solving equations
and inequalities. In this course, students learn methods
of solving systems of equations in two variables. They also
learn to represent systems of equations or inequalities
graphically.
Geometry
III — MTH-4102-1 This
is the third in a series of three compulsory courses on
geometry. In this course, students learn about geometric
transformations: translations, rotations and reflections
(displacements) as well as dilatations (enlargements or
reductions). They also learn to do calculations on similar
figures and to draw figures to scale.
Trigonometry
1
— MTH-4103-1
This is the first of two courses on trigonometry. In this
course, students learn to calculate different trigonometric
ratios (sines, cosines, tangents) in right triangles. They
also learn to calculate the different measurements in triangles
using the law of sines or of cosines.
Statistics
II—
MTH-4104-2 This Secondary IV course examines various procedures
for deriving information from distributions of data.
Exponents
and Radicals
— MTH-4105-1 This Secondary IV course deals with the laws
of exponents, the simplification of expressions in exponential
form and the four operations on polynomials containing square
roots.
Factoring
and Algebraic Fractions
— MTH-4106-1 This Secondary IV course deals with the different
factoring methods and the four operations on algebraic fractions.
Straight
Lines II —MTH-4007-1 This course is the third in a series of four
optional Secondary IV courses that enable students to complete
the equivalent of Mathematics 436 in the youth sector. In
this course, students expand their knowledge of straight
lines by studying the equations of parallel and perpendicular
lines. In addition, they learn how to calculate the distance
between any two points and to find the coordinates of the
point that divides a line segment in a given ratio.
Quadratic
Functions — MTH-4108-1 This course examines the parabola used to
draw graphs of different situations involving a maximum
or minimum value represented on these graphs by a vertex.
Sets
Relations and Functions — MTH-4109-1
The
4 Operations on Algebraic Fractions —
MTH-4110-1
This is the second optional course in a series of four Secondary
IV courses equivalent to Mathematics 436 in the youth sector.
In this course, students master the four operations (+,-,x,÷)
on algebraic fractions.
Complement
and Synthesis I
—MTH-4111-2 In
this course, students continue to build on some of the concepts
they learned in other Secondary IV mathematics courses:
systems of equations, functions, analytical geometry, congruence
and similarity. In analytical and Euclidian geometry, emphasis
is placed on deductive reasoning. Note that the use of a
graphing calculator is permitted.
Secondary
V
Optimization
—MTH-5101-1 This
is the first in a series of four Secondary V courses equivalent
to Mathematics 514 in the youth sector. In this course,
the students learn how to find the optimum solution in a
given situation.
Statistics
III — MTH-5102-1 In
this course, students learn about one- and two-variable
statistical distributions. The emphasis is on analyzing
and interpreting data rather than on calculations. The use
of a calculator with one- or two-variable statistical functions
or a graphing calculator is recommended.
Probability
II —MTH-5103-1 In
this course, students learn to determine the probability
of an event by using various modes of representation: list
of possible outcomes, probability tree, contingency table,
area model. They also learn to use the rules of multiplication
and addition to calculate probabilities. In addition to
probability, this course discusses the concept of odds (i.e.,
“odds for” and “odds against”).
The course discusses compound probabilities, with a special
emphasis on conditional probability. Another new concept
covered in this course is that of mathematical expectation,
which is used to determine whether a game of chance is fair.
Lastly, this course deals with probabilities in a geometric
context.
Optimization
II—
MTH-5104-1 This course is an introduction to graph theory.
Students learn about such concepts as vertices, edges, paths
and circuits, Euler paths and circuits, and Hamiltonian
paths and circuits. Students also learn to draw graphs in
order to represent and solve optimization problems: optimizing
projects through weighted and directed graphs, optimizing
networks through trees of minimum value, optimizing projects
through the critical path in a weighted and directed graph.
Conics
I —
MTH-5105-1 This
module deals with conics, that is, figures obtained by cutting
a cone with a plane at different angles. The conic sections
covered in this course are the circle, the parabola, the
ellipse and the hyperbola. These curves are examined through
their respective equations or inequalities and different
parameters. Given equations and inequalities, we will graph
the corresponding conic sections. We will also do the reverse,
that is, given the graphs of conic sections, we will find
the corresponding equations or inequalities. This course
also deals with solving problems involving conics.
Real
Functions
and Equations — MTH-5106-1 In
this course, students learn about the linear, quadratic,
absolute-value, square-root, greatest-integer and rational
functions, the role of the different parameters (a, b, h
and k) and the rules of correspondence of these six functions.
They also learn to recognize functions from their rules
or graphs, to describe the characteristics of the functions
under study, to solve second-degree equations involving
square roots or absolute value, and to solve problems by
using real functions.
Exponential
and Logarithic Functions
and Equations — MTH-5107-2 In
this course, students study exponential and logarithmic
functions and their characteristics (domain, range, increase,
decrease, etc.), and learn to find the rules of these functions
and of the inverse functions. Students also have an opportunity
to develop their algebraic skills by applying the properties
of logarithms. Lastly, students solve equations and problems
involving exponential and logarithmic functions.
Trigonometric
Functions and Equations
— MTH-5108-2 In
this course, students will learn about the various concepts
related to trigonometric functions. They will learn about
the trigonometric circle, angular and arc measures expressed
in radians and the wrapping function. While all of the trigonometric
functions will be covered, the graphs of the sine, cosine
and tangent functions will be examined in greater detail.
Students will also use trigonometric identities and the definitions
of the trigonometric ratios to prove trigonometric identities
and to solve simple trigonometric equations. Lastly, they
will use sinusoidal functions to model situations and to solve
problems.
Geometry
IV
— MTH-5109-2 This
is the seventh course equivalent to MTH- 526 or MAT-536 in
the youth sector. This course examines relationships governing
measurements in circles (lengths, angles) and right triangles.
Introduction
to vectors —
MTH-5110-1
In this course, students will learn about vectors in the
plane, algebraic and geometric vectors as well as vector
notation and symbols. They will study operations on vectors
and their properties: addition, multiplication by a scalar
and scalar multiplication of two vectors. They will also
be introduced to the formal mathematics pertaining to
vectors: linear combination of vectors, vector bases in
the plane and the use of vectors to prove the principles
of geometry. The main focus of this course, however, is
the use of vectors to solve problems.
Complement
et synthesis II
—
MTH-5111-2 In
this course, students will review the functions that were
introduced in previous courses. They will then study the
composition of functions and the four operations on these
functions as well as inequalities in one variable. This
course also deals with geometry and summarizes content covered
in previous courses. The emphasis is on rigorous reasoning
and the ability to make connections among various mathematical
concepts.
Logic
—
MTH-5112-1 The goal of this course is to study reasoning expressed
mathematically. In this course, students will learn to use
logical quantifiers and construct truth tables. They will
also examine the notions of implications and equivalences.
They will be required to study the notions of existential
and universal quantifiers. Finally, they will determine
the negation of a compound propositional form and calculate
the value of a compound propositional form.
