MAC 2312 (Calculus II) Section B51
Tues&Thurs 1:00-2:40 in AC1 227
Textbook and Online Homework
Written homework
Quizzes
Tests and final exam
What you should learn in Calc I
before
taking Calc II
Useful free online resources:
The
Calc II portion
of Paul's Online Math Notes
Contemporary Calculus
by Dale Hoffman
My
Calculus I review page
Week 1 notes (Aug 25, Aug 27)
What are integrals?
This corresponds to Sections 5.1, 5.2, and 5.3 of Briggs.
Below are related practice problems from Paul's Online Notes.
Area Problem
Computing Definite Integrals
Week 2 notes (Sep 1, Sep 3)
How to compute integrals
This corresponds to Sections 5.4, 5.5, and 7.1 of Briggs.
Below are related practice problems from Paul's Online Notes.
Substitution Rule for Indefinite Integrals
Substitution Rule for Definite Integrals
Week 3 notes (Sep 8, Sep 10)
What are integrals used for? (Part I)
This corresponds to Sections 6.1, 6.2, and 6.3 of Briggs.
Below are related practice problems from Paul's Online Notes.
Area Between Curves
Volumes of Solids of Revolution / Method of Rings
Week 4 notes (Sep 15, Sep 17)
What are integrals used for? (Part II)
This corresponds to Sections 6.4, 6.5, and 6.6 of Briggs.
Below are related practice problems from Paul's Online Notes.
Volumes of Solids of Revolution / Method of Cylinders
Arc Length
Week 5 notes (Sep 22, Sep 24)
How to compute more integrals (Part I)
This corresponds to Section 8.2 of Briggs.
Below are related practice problems from Paul's Online Notes.
Integration by Parts
Week 6 notes (Sep 29, Oct 1)
How to compute more integrals (Part II)
This corresponds to Sections 8.3 and 8.4 of Briggs.
Below are related practice problems from Paul's Online Notes.
Integrals Involving Trig Functions
Trig Substitutions
Week 7 notes (Oct 6, Oct 8)
How to compute more integrals (Part III)
This corresponds to Sections 8.5, 8.6, and 8.9 of Briggs.
Below are related practice problems from Paul's Online Notes.
Partial Fractions
Improper Integrals
Week 8 notes (Oct 13, Oct 15)
Infinite series and convergence
This corresponds to Sections 10.1, 10.2, and 10.3 of Briggs.
Practice problems from Paul's Online Notes:
Sequences
More on Sequences
Convergence/Divergence of Series
Week 9 notes (Oct 20, Oct 22)
Determining if a series converges (Part I)
This corresponds to Sections 10.4 and 10.5 of Briggs.
Practice problems from Paul's Online Notes:
Special Series
Integral Test
Comparison Test/Limit Comparison Test
Week 10 notes (Oct 27, Oct 29)
Determining if a series converges (Part II)
This corresponds to Sections 10.6, 10.7, and 10.8 of Briggs.
Practice problems from Paul's Online Notes:
Alternating Series Test
Absolute Convergence
Ratio Test
Here are some
miscellaneous series problems
, with
outlines of solutions
as well as
longer solutions
Week 11 notes (Nov 3, Nov 5)
What is a power series?
This corresponds to Sections 11.1 and 11.2 of Briggs.
Practice problems from Paul's Online Notes:
Power Series
Power Series and Functions
Week 12 notes (Nov 10, Nov 12)
What can we do with power series?
This corresponds to Sections 11.3 and 11.4 of Briggs.
Practice problems from Paul's Online Notes:
Taylor Series
Applications of Series
Week 13 notes (Nov 17, Nov 19)
Calculus with parametric curves
This corresponds to Section 12.1 of Briggs.
Practice problems from Paul's Online Notes:
Parametric Equations and Curves
Tangents with Parametric Equations
Week 14 notes (Nov 24)
Calculus with polar curves
This corresponds to Sections 12.2 and 12.3 of Briggs.
Practice problems from Paul's Online Notes:
Polar Coordinates
Tangents with Polar Coordinates
Week 15 (Dec 1, Dec 3) Catchup/Review
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