MAC 2312 (Calculus II) Section B51
Tues&Thurs 1:00-2:40 in AC1 328
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 26, Aug 28)
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 2, Sep 4)
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 9, Sep 11)
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 16, Sep 18)
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 23, Sep 25)
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 30, Oct 2)
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 7, Oct 9)
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 14, Oct 16)
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 21, Oct 23)
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 28, Oct 30)
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 4, Nov 6)
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 13)
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 18, Nov 20)
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 25)
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 2, Dec 4) Catchup/Review
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