Applied Mathematics (CSTP 1108)
In this course, students gain a strong mathematical foundation for future technical and programming courses. This course deals with linear systems of equations and various common function types and their properties. Students will learn how to solve linear equations and how to draw graphs of common functions such as polynomials, periodic, logarithmic, and exponential functions.
Computers use binary numbers to represent all data. Students learn how different data types (integers, characters, and floating point numbers) are represented in computers. Students learn to apply math concepts to solve real life or technology-related problems. This course also covers the importance of mathematical logic and logical reasoning for proving a concept and theorem.
The emphasis in the course is not mathematical rigour. The goal is understanding and using these concepts in common cases, and learning is example-driven.
Computers use binary numbers to represent all data. Students learn how different data types (integers, characters, and floating point numbers) are represented in computers. Students learn to apply math concepts to solve real life or technology-related problems. This course also covers the importance of mathematical logic and logical reasoning for proving a concept and theorem.
The emphasis in the course is not mathematical rigour. The goal is understanding and using these concepts in common cases, and learning is example-driven.
Course code: CSTP 1108
Credits: 2.0
Length: 40.0 hours
Course outline:
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https://www.vcc.ca/vccphp/courseoutline?subject=CSTP&number=1108
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0Additional Information
- Function types: polynomials, power, exponential, logarithmic
- Matrices: addition, multiplication, inverse
- Systems of linear equations: solving using the graphical, substitution and elimination methods. Introduction to matrices and Gauss-Jordan elimination.
Matrices: matrix operations, determinants and Cramer's Rule. - Positional numeration system, Decimal vs Binary vs Hexadecimal system.
Their use in computer systems: Memory address in Ram (Hexadecimal) - Graphing of Linear, quadratic, and cubic functions. How to find Maximum and minimum of quadratic function. Concept of Related Changes.
- Base-n arithmetic. Converting from base 2 to 10 and to 16, vice versa.
Boolean algebra: truth table, - Number and character representation in computer software. Numbers addition overflow, subtraction underflow, 2's complement integer representation.
- Recursion and Induction: two powerful methods of defining objects, proving concepts, and implementing programs.
† This information is intended as a guideline only. Program and course details are subject to change with the approval of VCC's Board of Governors.