MAC 2312 (Calculus II) Section B51
Tues&Thurs 9:30-11:10 in AC1 135
Textbook and Online Homework
Written homework
Quizzes
Tests and final exam
Tentative schedule of topics for Calc II
What you should learn in Calc I
before
taking Calc II
Week 1 notes (Jan 9, Jan 11)
What are integrals?
Area Problem
Definition of the Definite Integral
Week 2 notes (Jan 16, Jan 18)
How to compute integrals
Computing Definite Integrals
Average Function Value
Substitution Rule for Indefinite Integrals
Substitution Rule for Definite Integrals
Week 3 notes (Jan 23, Jan 25)
What are integrals used for? (Part I)
Area Between Curves
Volumes of Solids of Revolution / Method of Rings
Volumes of Solids of Revolution / Method of Cylinders
Week 4 notes (Jan 30, Feb 1)
What are integrals used for? (Part II)
Arc Length
Surface Area
Work
Week 5 notes (Feb 6, Feb 8)
How to compute more integrals (Part I)
Integration by Parts
Integrals Involving Trig Functions
Week 6 notes (Feb 13, Feb 15)
How to compute more integrals (Part II)
Trig Substitutions
Partial Fractions
Integration Strategy
Week 7 notes (Feb 20, Feb 22)
How to estimate integrals
Approximating Definite Integrals
Improper Integrals
SPRING BREAK
Week 8 notes (Mar 5, Mar 7)
Infinite series and convergence
Sequences
More on Sequences
Series -- The Basics
Convergence/Divergence of Series
Week 9 notes (Mar 12, Mar 14)
Determining if a series converges (Part I)
Special Series
Integral Test
Comparison Test/Limit Comparison Test
Week 10 notes (Mar 19, Mar 21)
Determining if a series converges (Part II)
Alternating Series Test
Absolute Convergence
Ratio Test
Strategy for Series
Here are some
miscellaneous series problems
, with
outlines of solutions
as well as
longer solutions
Week 11 notes (Mar 26, Mar 28)
What is a power series?
Power Series
Power Series and Functions
Week 12 notes (Apr 2, Apr 4)
What can we do with power series?
Taylor Series
Applications of Series
Week 13 notes (Apr 9, Apr 11)
Calculus with parametric curves
Parametric Equations and Curves
Tangents with Parametric Equations
Week 14 notes (Apr 16, Apr 18)
Calculus with polar curves
Polar Coordinates
Tangents with Polar Coordinates
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