Course description
This course introduces learners to the basic concepts of mathematics in all areas of natural sciences with applications in computer science, engineering and technology. The course covers propositional logic, open propositions and quantifiers, arguments and validity, set theory, natural numbers, the set of integers, rational numbers and real numbers, the set of complex numbers, relations and functions, polynomial, rational, logarithmic, exponential, trigonometric and hyperbolic functions, lines, circles, parabolas, ellipses, hyperbolas and second degree equations.
Course outcomes
Upon the completion of this course, students will be able to:
• Explain the basic concepts of mathematical logic
• Use logical reasoning to evaluate the validity of an argument
• Perform operations on sets
• Apply the principle of mathematical induction
• State the completeness property of real numbers
• Extract roots of complex numbers
• Evaluate the composition of functions
• Factorize polynomial functions
• Graph rational functions
• Use unit circle to draw graphs of trigonometric functions
• Write the equation of a circle, parabola, ellipse and hyperbola in standard form
• Change a general second degree equations in standard form
Course contents
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🔽 4 h 51 min | Propositional Logic and Set Theory
- Propositional logic
- Open propositions and quantifiers
- Arguments and validity
- Set theory
🔽 3 h 43 min | The Real and Complex Number Systems
- The natural numbers and well ordering axiom
- Principle of mathematical induction
- The set of integers and rational numbers
- The set of real numbers
- The set of complex numbers
🔽 5 h 10 min | Functions
- Review of relations and functions
- Real valued functions and their properties
- Types of functions and inverse of a function
- Polynomials and zeros of polynomials
- Rational functions and their graphs
- Definition and basic properties of exponential and logarithmic functions
- Exponential and logarithmic functions and their graphs
- Trigonometric and hyperbolic functions and their graphs
🔽 7 h 41 min | Analytic Geometry
- Distance formula and equation of lines
- Circle
- Parabola
- Ellipse
- Hyperbola
- The general second degree equation
This course includes:
21 h 25 min recorded video
Downloadable resources (books and articles)
One year access
Access on mobile and TV
Beginner Level
Certificate of completion
Instructor
