Calculus II 

Weekly Schedule

 
 
 
 
 
 
 

Course Outline (subject to minor rescheduling) 

 

Week One
Chapters 6, 7, and 8 to section 8.1
Geometric applications of the integral: finding area, volume, arclength. Physical applications of the integral: work. Techniques for evaluating integrals (parts, trigonometric substitution, partial fractions, tables, computer algebra systems, and numerical). Improper integrals. Arclength.
Week Two
Chapters 8, 9 and 10 to section 10.2
Arc Length. Surface Area. Applications of the Integral to physics, engineering, and probability: hydrostatic pressure, probability density functions, mean and median. Differential Equations: Various models for population growth, predator/prey systems. Parametric Equations. Cycloids. Tangents.
Week Three
Chapters 10 and 11
Polar Coordinates. Conic Sections. Sequences, Series. Tests for convergence: The Integral Test, The Comparison Test, The Ratio and Root Test. Power Series.
Week Four More on Power Series, including the Taylor, McLaurin and binomial series. Applications.