NEXT

• 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