NEXT

• 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