Note: This is a fall or spring schedule. In summer, this schedule is accelerated by 50% in order to accommodate a 10-week session.
Week 1 Review of the Fundamental Theorem of Calculus,
integration by substitution, area.
Sections 6.4, 6.5, 7.1.
Week 2 Area ctd, volumes by slicing, disks, washers.
Sections 7.1, 7.2.
Week 3 Volume by cylindrical shells, work.
Sections
7.3, 7.4.
Week 4 Average value, integration by parts,
trigonometric integrals.
Sections 7.5, 8.1, 8.2.
Week 5 Trigonometric substitution, partial fractions.
Exam 1 (Covers through 8.2).
Sections 8.3, 8.4.
Week 6 Improper integrals, arc length, surface area of
revolution.
Sections 8.9, 9.3, 9.4.
(8.8 on Numerical Integration will be done in lab)
Week 7 Sequences.
Section 10.1.
Week 8 Series, convergence tests.
Sections
10.2, 10.3, 10.4.
Week 9 Power series.
Exam 2 (Covers through
10.4).
Section 10.5.
Week 10 Representing functions as power series, Taylor
and Maclaurin series.
Sections 10.6, 10.7.
Week 11 Applications of Taylor series, 3D coordinates.
Section 10.9, 11.1.
Week 12 Dot product, cross product
Section
11.2, 11.3..
Week 13 Polar Coordinates
Thanksgiving falls on this week in the fall.
Section
13.4.
Week 14 Review
Exam 3 (Covers through 11.3
plus 13.4). Note: instructors should be wary of redefined days in
week 15 and adjust their coverage of topics accordingly.
Week 15 Review for Final. Last week of class has redefined days. See Important Dates for more details.