Mathematics for Social Sciences

Flashcards

Set Theory

A branch of mathematical logic that studies sets, which are collections of objects.

Venn Diagrams

Diagrams that show all possible logical relations between a finite collection of different sets.

Functions

A relation that uniquely associates members of one set with members of another set.

Quadratic Equations

A polynomial equation of the form ax² + bx + c = 0, where a ≠ 0.

Linear Equations

An equation that makes a straight line when graphed and has no exponents greater than one.

Substitution Method

A method used to solve systems of equations by substituting one equation into another.

Elimination Method

A method for solving systems of equations by eliminating variables.

Non-linear Equations

Equations that do not form a straight line when graphed.

Logarithmic Functions

The inverse of exponential functions, commonly used in various applications.

Functional Relationship

A relationship where the value of one variable depends on one or more other variables.

Limits

A fundamental concept in calculus representing the value that a function approaches as the input approaches some value.

Continuity

A property of functions in which they have no breaks, jumps, or holes.

Arithmetic Series

A sequence of numbers in which the difference between consecutive terms is constant.

Geometric Series

A series where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Differentiation

The process of finding the derivative of a function, which measures how the function's output changes as its input changes.

Derivative

A measure of how a function changes as its input changes.

Chain Rule

A formula for computing the derivative of the composition of two or more functions.

Implicit Differentiation

A technique used to differentiate equations that define one variable implicitly in terms of another.

Integration

The process of finding the integral of a function, which represents the accumulation of quantities.

Indefinite Integrals

Integrals that represent a family of functions, including an arbitrary constant.

Definite Integrals

Integrals that calculate the area under a curve, between two specified limits.

Integration by Substitution

A method for finding integrals by changing the variable of integration.

Course Evaluation

The process of assessing students' performance through coursework and final examinations.

Course Textbook

A book used as a standard source of information for the course content.

Quantitative Methods

Techniques used for the analysis of numerical data, fundamental in mathematics and statistics.

Learning Outcomes

The specific skills or knowledge students are expected to demonstrate at the end of a course.

Teaching Methodology

The strategies, techniques, and approaches used by instructors to facilitate learning.

Course Journals

Academic journals that publish research and studies relevant to the course topics.

Reference Textbooks

Books that provide additional information and insights on course material.

Teaching Board

A surface for teaching that allows the instructor to display information visually for students.

Projection System

Equipment used to display visual content for larger audiences in a classroom.

Case Analyses

In-depth examinations of specific instances or examples related to course topics.

Group Discussions

Interactive sessions where students collaboratively discuss course-related topics.

Computers in Education

The use of computers and technology as a resource for learning and teaching.

Coursework

Assignments or projects completed by students to assess their learning progress.

Final Examination

An assessment administered at the end of the course to evaluate students' understanding of the material.

Total Course Percentage

The final score representing a student's overall performance in the course.

Mathematical Models

Abstract representations of real-world systems to analyze quantitative data effectively.

Data Analysis

The process of inspecting, cleansing, transforming, and modeling data to discover useful information.

Financial Data Processing

The measures and computations applied to financial data to derive insights.

Business Problems Evaluation

The assessment and analysis of challenges faced in a business context.

ISSN Number

An International Standard Serial Number that uniquely identifies a serial publication.