Week 16:Curves defined by parametric equations. Calculus with parametric curves, tangents, areas, arc length, polar coordinates, polar curves.
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Course Material
- Week 1: Techniques of integration: Integration by parts.
- Week 2:Integrals of Elementary ,Hyperbolic functions.
- Week 3: Integrals of trigonometric, logarithmic and exponential functions .
- Week 4: Substitution and partial fractions, improper integrals.
- Week 5: Applications of integrals: Area between curves, average value.
- Week 6: Volumes, arc length, area of a surface of revolution.
- Week 7:Infinite series: Sequences and series,
- Week 8: convergence and absolute convergence. Tests for convergence,
- Week 9: mid term exam
- Week 10:divergence test. Integral test, p series test,
- Week 11: limit comparison test. Alternating series
- Week 12: Ratio test, root test, convergence of power series.
- Week 13: Representation of functions as power series. Differentiation and integration of power series,
- Week 14: Taylor and McLaurin series.
- Week 15: Conic section, parameterized curves and polar coordinates.
- Week 16:Curves defined by parametric equations. Calculus with parametric curves, tangents, areas, arc length, polar coordinates, polar curves.
- Week 17:Tangents to polar curves, areas and arc length in polar coordinates.
- Week 18: Final Exam
- Chapters 18
- Department Statistics
- Teacher
Sabiha Mumtaz
