# Applied Mathematics COMP 1113

Computer Systems Course

## Course details

Comp 1113 is partially discrete mathematics, partially an introduction to linear equations. The purpose of this course is to give a strong foundation for future technical and programming courses. The course is divided into three parts: (1) Boolean algebra and design of logic circuits; (2) number systems and data representation; and (3) functions, linear equations, vectors and matrices.

### Prerequisite(s)

• No prerequisites are required for this course.

### Credits

4.0

Not offered this term

## Learning Outcomes

Upon successful completion of this course, the student will be able to:

• Explain the Boolean algebra concepts: values of TRUE and FALSE, basic and derived operators, postulates, algebraic laws and theorems, Boolean expressions and functions.
• Compare and contrast combinational and sequential circuits.
• Build a corresponding truth table for a Boolean expression.
• Build a Boolean expression from a truth table.
• Define canonical forms: Sum of Products (SOP) and Product of Sums (POS).
• Simplify Boolean expressions using mathematical proof (Boolean algebra postulates, laws and theorems) and Karnaugh maps.
• Apply mathematical concepts in real life problems by designing logic circuits using Boolean algebra: simple decision systems, adders, comparators, and decoders.
• Explain the concept of positional number system.
• Explain how numbers, text and graphics are represented inside the computer.
• Perform arithmetic operations with numbers represented in different number systems (binary, octal, and hexadecimal) and different computer representations (1s and 2s complement, Excess, BCD, and floating point representation).
• Decide if a system of linear equations has a unique solution (independent), an infinite number of solutions (dependent) or no solution (inconsistent).
• Perform basic operations on matrices: addition and subtraction, multiplication with a scalar, multiplication, and finding the inverse.
• Solve systems of linear equations with three unknowns using algebraic methods, determinants (Cramer’s rule) and matrices.

Effective as of Fall 2015

## Related Programs

Applied Mathematics (COMP 1113) is offered as a part of the following programs:

### School of Computing and Academic Studies

1. Computer Systems Technology
Diploma Full-time