What you will learn
- Master algebraic manipulations and equation solving techniques
- Understand functions, their properties and transformations (polynomial, rational, exponential, logarithmic, trigonometric)
- Develop graphing skills and function analysis capabilities
- Learn limits and continuity concepts as calculus prerequisites
- Strengthen problem-solving and mathematical reasoning skills
- Prepare for university-level calculus courses
Program Overview
Algebraic Foundations
⏱️ 3-4 weeks
- Polynomial and rational expressions
- Equation solving techniques
- Inequalities and absolute value
- Coordinate geometry basics
Functions and Graphs
⏱️ 4-5 weeks
- Function definitions and properties
- Function transformations (shifts, stretches, reflections)
- Composite and inverse functions
- Graphical analysis techniques
Special Functions
⏱️ 5-6 weeks
- Exponential and logarithmic functions
- Trigonometric functions and identities
- Polar coordinates
- Function modeling applications
Calculus Preparation
⏱️ 4-5 weeks
- Introduction to limits
- Continuity concepts
- Tangent lines and rates of change
- Final comprehensive review
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Job Outlook
- Essential for:
- STEM university programs (Engineering, Physics, CS)
- Data Science and Analytics foundations
- Economics and Business Mathematics
- Technical certification programs
- Long-term Benefits:
- Strong mathematical foundation increases STEM career options
- 92% of engineering students report precalculus as critical for calculus success
- Higher retention rates in technical degree programs
Specification: KALKÜLÜS I: HAZIRLIK VE ALTYAPI / CALCULUS I: PRECALCULUS
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