Week 15: Calculus with parametric curves
Curves defined by parametric equations, Calculus with parametric curves, tangents, areas, arc length
Stewart J., Calculus 8th ed. (Brooks/Cole)
pages: 649-657
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Course Material
- Week 01: Techniques of integration
- Week 02: Integrals of elementary functions
- Week 03: Integrals of trigonometric, logarithmic and exponential functions
- Week 04: Substitution and partial fractions, improper integrals
- Week 05: Applications of integrals: Area between curves, average value
- Week 06: Volumes, arc length, area of a surface of revolution
- Week 07: Infinite series: Sequences and series
- Week 08: convergence and absolute convergence, tests for convergence
- Week 09: divergence test, integral test, p series test, comparison test
- Week 10: limit comparison test, alternating series test
- Week 11: ratio test, root test, power series, convergence of power series
- Week 12: representation of functions as power series, differentiation and integration of power series
- Week 13: Taylor and McLaurin series
- Week 14: Conic section, parameterized curves and polar coordinates
- Week 15: Calculus with parametric curves
- Week 16: Polar curves
- Chapters 16
- Department Mathematics
- Teacher
Dr. Khuram Ali Khan
