MAC 2312 (Calculus II) Section B51
Tues&Thurs 9:00-10:40 in AC1 130
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
Week 1 notes (Jan 6, Jan 8)
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 (Jan 13, Jan 15)
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 (Jan 20, Jan 22)
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 (Jan 27, Jan 29)
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 (Feb 3, Feb 5)
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 (Feb 10, Feb 12)
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 (Feb 17, Feb 19)
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
SPRING BREAK
Week 8 notes (Mar 3, Mar 5)
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 (Mar 10, Mar 12)
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 (Mar 17, Mar 19)
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 (Mar 24, Mar 26)
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 (Mar 31, Apr 2)
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 (Apr 7, Apr 9)
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 (Apr 14, Apr 16)
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
Idris Mercer's main page