What you will learn in KALKÜLÜS III: UYGULAMALAR / CALCULUS III: APPLICATIONS Course
- Master advanced integration techniques (by parts, partial fractions, trigonometric substitution)
- Solve practical problems using multivariable calculus concepts
- Apply calculus to physics (work, fluid pressure, center of mass)
- Analyze sequences and series convergence
- Utilize calculus in economics and biology models
- Develop mathematical modeling skills for engineering scenarios
Program Overview
Advanced Integration
⏱️ 4-5 weeks
- Integration techniques review
- Improper integrals
- Numerical integration methods
- Applications to probability
Multivariable Applications
⏱️ 5-6 weeks
- Partial derivatives
- Gradient and directional derivatives
- Optimization in multiple variables
- Lagrange multipliers
Physics Applications
⏱️ 4-5 weeks
- Work and energy calculations
- Fluid force and pressure
- Center of mass and moments
- Arc length/surface area
Special Topics
⏱️ 3-4 weeks
- Differential equations introduction
- Taylor series approximations
- Calculus in economics (marginal analysis)
- Biological growth models
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Job Outlook
- Essential for:
- Mechanical/Civil Engineers (₹6-15L/year)
- Data Scientists (₹8-20L/year)
- Quantitative Analysts (₹10-25L/year)
- Research Scientists
- Industry Value:
- 78% of engineering roles require applied calculus skills
- Foundation for machine learning optimization
- Critical for competitive exam preparation (GATE, UPSC ESE)
Specification: KALKÜLÜS III: UYGULAMALAR / CALCULUS III: APPLICATIONS
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