Week 12:representation of functions as power series, differentiation and integration of power series, Taylor and McLaurin series.
Course Material
- Week 1: Techniques of integration: Integrals of elementary, hyperbolic, trigonometric
- Week 2: logarithmic and exponential functions, integration by parts:
- Week 3: substitution and partial fractions, improper integrals.
- Week 4: Applications of integrals: Area between curves.
- Week 5:average value, volumes, arc length, area of a surface of revolution.
- Week 6:Infinite series: Sequences and series.
- Week 7:convergence and absolute convergence, tests for convergence.
- Week 9:divergence test, integral test, p series test, comparison test, limit comparison test,
- Week 10: Mid Term Exam
- Week 11: alternating series test, ratio test, root test, power series, convergence of power series:
- Week 12:representation of functions as power series, differentiation and integration of power series, Taylor and McLaurin series.
- Week 13:Conic section, parameterized curves and polar coordinates
- Week 14:Curves defined by parametric equations, Calculus with parametric curves
- Week 15:tangents, areas, arc length, polar coordinates,
- Week 16: polar curves, tangents to polar curves
- Week 17:areas and arc length in polar coordinates
- Week 18: Final Term Exam
- Chapters 17
- Department Mathematics(SCB)
- Teacher
Baqir Hussain
