Course description
This course introduces learners to the basic concepts of mathematics applicable for social sciences. The course covers propositional logic, open propositions and quantifiers, arguments and validity, set theory, the real number system, solving equations and inequalities, review of relations and functions, real valued functions and their properties, types of functions and inverse of a function, polynomials, rational functions, logarithmic, exponential, trigonometric functions, matrices and determinants, solving system of linear equations, limit and continuity, derivatives, applications of the derivative and integrals and their applications.
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
• Solve quadratic equations and inequalities
• Find the zeros of polynomial functions
• Draw graphs of rational functions
• Reduce a matrix into reduced row Echelon form
• Solve system of linear equations
• Find the determinant of a square matrix
• Evaluate limits of functions
• Apply the derivative tests to find local extremum values
• Find the integrals of continuous functions
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
🔽 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
🔽 5 h 44 min | Matrices, Determinants and System of Linear Equations
- Definition of matrices
- Operations of matrices
- Types of matrices
- Elementary row operation, row Echelon and reduced row Echelon forms
- Rank of a matrix
- Determinants and their properties
- Adjoint and inverse of a matrix
- System of linear equations and method of solving
🔽 8 h 55 min | Introduction to Calculus
- Limit of a function
- Continuity of a function
- Derivatives
- Applications of the derivative
- The indefinite integrals
- The definite integrals
This course includes:
24 h 40 min recorded video
Downloadable resources (books and articles)
One year access
Access on mobile and TV
Beginner Level
Certificate of completion
Instructor
