Modular Learning

Math modules through AC Online are a flexible way of brushing up on skills, and can be used for students looking to transfer to a new program of study via an Internal Exemption. For example, if a student has successfully completed MAT8001C and is looking to be exempt from having to complete the course MAT8001M in the new program of study, along with MAT8001C they can complete the missing individual math module(s) and apply for an Internal Exemption for the course MAT8001M (see courses and related modules in the mapping chart below). These modules are 100% self-directed and are designed for independent learners. Students proceed at their own pace and have 4 weeks to complete the module from the registration date. Different modules contribute to different courses, so it’s important to ensure you refer to the mapping chart below.

You can register for the course directly online by clicking on the course code below or by contacting the Registrar’s office.

NOTE: Math Modules cannot be used for credit recovery.

On-campus students with any questions, please contact your mathematics coordinator Rachelle Mikkelborg at mikkelr@algonquincollege.com

Online (AC Online) students with any questions (for MAT8001C), please contact Chris Pehura at pehurac@algonquincollege.com

For registration inquiries, please live chat with us below (during business hours) or contact our office at online@algonquincollege.com

MAT8100A – Trigonometry

Students calculate the values of trigonometric functions, learn right angle triangle ratios and solve inverse trigonometric functions. Students solve for missing quantities in right-angled triangles, apply the CAST to find all solutions to a trigonometric equation and graph basic sinusoidal curves.

MAT8100B – Algebra Basics

Students differentiate between terms and factors. Students simplify algebraic expressions using like terms and the distributive property. Students simply expressions containing integral exponents by applying the exponent rules. Students determine the Least Common Denominator and use this to add and subtract algebraic fractions. Students learn to multiply and divide algebraic expressions, use equivalent fractions to reduce answers, and simplify complex fractions. This module can be taken by itself or it can be combined with other modules.

MAT8100C – Factoring and Solving Equations

Students learn techniques of common factoring and factoring a difference of squares and quadratic equations. Linear and quadratic equations are solved. The quadratic formula is also used to help solve quadratics that are not factorable. Literal expressions are rearranged to find specified quantities in terms of other variables and constants. Students solve equations involving algebraic fractions. This module can be taken by itself or it can be combined with other modules.

MAT8100D – Graphing

Graphing is introduced by starting with Function Notation and Tables of Values in conjunction with the Cartesian coordinate system to graph any function. The general concepts of shrinks, stretches and shifts are introduced as a quick method to plot graphs based off of the most basic form of the function [y=x,y=sin(x)]. Straight lines, quadratics and sinusoids are studied and graphed using shrinks, stretches, and shifts and higher-order polynomials are graphed using a table of values. This module can be taken by itself or it can be combined with other modules.

MAT8100E – Solving System of Linear Equations Graphically and Algebraically

Students examine 2-Dimensional systems of linear equations and solve these systems using graphing, substitution, and Addition/Subtraction. An emphasis is placed on solving using the method of Addition/Subtraction as this method is then used to solve 3-Dimensional systems of linear equations. This module can be taken by itself or it can be combined with other modules.

MAT8100F – Vectors

Vectors and Scalars are defined and the vectors are introduced graphically. Vector components are studied and are used to simplify vector addition and subtraction problems containing multiple vectors. This module can be taken by itself or it can be combined with other modules.

MAT8100G – Exponents and Radicals

Simplification of radicals is completed, with a focus on square and cube roots. Students add, subtract, multiply, and divide expressions containing fractional exponents. This module can be taken by itself or combined with other modules.

MAT8100H – Exponential and Logarithmic Functions

Students explore the properties of logarithms and the graphs of logarithmic functions. Students learn how to change logarithmic bases. The natural logarithm is studied and students learn to solve both exponential and logarithmic equations. This module can be taken by itself or it can be combined with other modules.

MAT8100I – Complex Numbers

Students explore complex numbers in rectangular form. They add, subtract, multiply, divide and graph numbers in rectangular form. Students learn to write complex numbers in polar and exponential forms. This module can be taken by itself or it can be combined with other modules.

MAT8100J – Signed Numbers

Students perform basic mathematical operations such as addition, subtraction, multiplication and division of real numbers. Students learn how to correctly round numbers and identify significant digits. The order of operations is utilized to simplify and evaluate numeric expressions. The absolute value, square root and integer power of numbers are evaluated. Both scientific and engineering notations are used to describe very large and very small numbers.

MAT8100K – Units of Measure

The S.I. Metric, Imperial and U.S. Customary units of measure are examined. Students convert within a measurement system (reduction) and convert between systems of measurement by multiplying by conversions factors. Fractional units such as kph are converted in addition to area and volume measurements within units to an integer power. This module can be taken by itself or it can be combined with other modules.

MAT8100L – Computer Systems

Students acquire the knowledge to work within and convert between multiple numeric bases: binary, octal, decimal, and hexadecimal. Addition and subtraction are explored directly and by using one’s and two’s complement methods. Boolean logic operators (AND, OR, XOR, and NOR) and logic gates are defined. Boolean postulates and theorems are utilized to simplify Boolean expressions and to create truth tables. The De Morgan’s theorem and the Absorption theorem are further explored to aid in the simplification of Boolean expressions. This module can be taken by itself or it can be combined with other modules.

MAT8100M – Algebraic Operations

Students acquire the knowledge to work within and convert between multiple numeric bases: binary, octal, decimal, and hexadecimal. Addition and subtraction are explored directly and by using one’s and two’s complement methods. Boolean logic operators (AND, OR, XOR, and NOR) and logic gates are defined. Boolean postulates and theorems are utilized to simplify Boolean expressions and to create truth tables. The De Morgan’s theorem and the Absorption theorem are further explored to aid in the simplification of Boolean expressions. This module can be taken by itself or it can be combined with other modules.

MAT8100N – Geometry

Students acquire the knowledge to work within and convert between multiple numeric bases: binary, octal, decimal, and hexadecimal. Addition and subtraction are explored directly and by using one’s and two’s complement methods. Boolean logic operators (AND, OR, XOR, and NOR) and logic gates are defined. Boolean postulates and theorems are utilized to simplify Boolean expressions and to create truth tables. The De Morgan’s theorem and the Absorption theorem are further explored to aid in the simplification of Boolean expressions. This module can be taken by itself or it can be combined with other modules.

MAT8100O – Vector Algebra

Students learn to define scalars and vectors. They add and subtract vectors graphically and by using vector components. Vectors are normalized and vector algebra operations of the dot product and the cross product of two- and three-dimensional vectors is examined.

MAT8100Q – Matrix Algebra

Students learn to define a matrix and matrix elements as well as adding and subtracting matrices. Students learn to multiply a matrix by a scalar and how to define a vector as a matrix. Matrix multiplication is completed. With the help if the Identity matrix, students learn to find the Transpose and the Inverse of a matrix.

MAT8100R – Matrix Transformations

Students define stretch, shrink, shift and rotations and then define and apply the rotation and translation matrices. Students use composite transformation matrices and define vector scaling. In addition, points are translated using matrices.

MAT8100S – Right Angled Triangles

Students calculate the values of trigonometric functions, learn right-angle triangle ratios, and solve inverse trigonometric functions. Students solve for missing quantities in right-angled triangles. Students determine positive and negative angles in standard positions. This module can be taken by itself or it can be combined with other modules.

MAT8100T – Tables of Values

Graphing is introduced by starting with Function Notation and Tables of Values in conjunction with the Cartesian coordinate system to graph any function. Simple polynomials are graphed using tables of values. The slope and y-intercept are determined with straight lines and used to graph straight lines. The quadratic equation is used to graph parabolae using intercepts in conjunction with a table of values. This module can be taken by itself or combined with other modules.