Mathematics Career Preparation Quiz

Study Notes

Contact Information

Email: [email protected]
Phone: +917681039202
Address: At/po-chikarada, P.o-golanthara, Dist-Ganjam, odisha

Objective

Seeking a position that allows for professional growth and skill development.
Aspires to contribute to the success of the organization.

Education

Degree: Bsc, mathematics
Institution: Government science college, chatrapur, ganjam, odisha
Year of Completion: 2024
Percentage: 69% with Grade "A"

Skills

Proficiency in English and Microsoft Excel
Familiarity with Microsoft Office and Algebra
Skill level: 80%

Interests

Reading, travelling, and music

Languages

Fluency in English, Odia, and Hindi

Algebra

Branch of mathematics dealing with symbols and their manipulation to solve equations and represent relationships.
Variables: Symbols (often letters) that represent numbers or values.
Constants: Fixed values that do not change.
Expressions: Combinations of variables and constants using operations like addition, subtraction, multiplication, and division.
Equations: Mathematical statements asserting equality between two expressions.
Operations
- Addition, subtraction, multiplication, and division.
- Commutative property: a + b = b + a; ab = ba
- Associative property: (a + b) + c = a + (b + c); (ab)c = a(bc)
- Distributive property: a(b + c) = ab + ac
Linear equations: Equations of the form ax + b = 0, representing straight lines.
Quadratic equations: Equations of the form ax² + bx + c = 0, representing parabolas.
Polynomial equations: Involves terms with variables raised to whole-number powers.
Solving equations involves isolating variables using inverse operations.
- One-variable equations: Isolate the variable using inverse operations.
- Two-variable equations: Can be solved using methods like substitution, elimination, or graphing.
Factoring: Breaking down expressions into products of simpler expressions.
Functions:
- A relation where each input has a single output.
- Notation: f(x) represents a function f at input x.
- Types:
  - Linear functions: f(x) = mx + b
  - Quadratic functions: f(x) = ax² + bx + c
Graphing:
- Understanding the Cartesian coordinate system (x-y plane).
- Plotting points (x, y) and drawing graphs of equations/functions.
- Identifying key features like intercepts, slopes, and curvature.
Inequalities:
- Expressions indicating that one side is larger or smaller than the other (e.g., x > 5).
- Solving involves similar steps as equations, but solutions are often in intervals.
Algebra is foundational for advanced mathematics, science, engineering, economics, and everyday problem-solving.
Used in modeling real-world situations to predict outcomes.
Common mistakes:
- Misapplication of properties.
- Errors in sign when solving equations.
- Confusing operations when simplifying expressions.