Lecture Materials

Below you will find copies of the overheads that I use in lecture. Most of lecture I write out during class, so if you missed class, then you will want to get a copy of the notes from a classmate. These overheads just contain the entry task or summary information that I used for that topic in lecture:

4.9 Notes - Antiderivatives, "+C", solving for constants
5.1 Notes - Reimann Sums intro, notation, and interpretting
5.2 Notes - Definite integral def'n, notation and rules
5.3 Notes - Fundamental Thm of Calculus, Parts 1 and 2, lots of examples
5.4 Notes - Net Change/Total Change, interpretting the FTOC
5.5 Notes - Substitution Method, Theory and Practice, lots of examples
6.1 Notes - Area between curves, choosing dx/dy
6.2 Notes - Volume by cross-sectional slicing
Two Classic Examples (Volume of Sphere and Volume of Cone)
6.3 Notes - Volumes of revolution using cylindrical shells
Exam 1 Review
Exam 1 Rules and Topics

6.4 Notes - Work! Introduction (leaky bucket & stack of books)
6.4 Notes - More examples of work
6.5/7.1 Notes - Average Value example, then lots of integration by-parts
7.1/7.2 Notes - More integration by-parts and intro to sin/cos and sec/tan
7.2/7.3 Notes - More sin/cos, sec/tan, then intro to trig substitutions.
7.3/7.4 Notes - More trig substitution and intro to partial fractions
7.4/7.5 Notes - Examples of partial fractions and how to approach integration problems.
7.7 Notes - More integration practice, then ways to approximate integrals (when our methods fail).
7.8 Notes - Improper integrals: what to do when integrating functions with asymptotes within the interval of integration.
Exam 2 Review Notes- Overview of all topics on exam 2, basic sample problems of each type (4 work problems)
Exam 2 Rules and One-Page Overview - Listing of rules, skills and topics.

8.1 Notes - Arc Length, in terms of y=f(x) and parametric x=x(t), y=y(t).
9.1 Notes - Introduction to Differential Equations.
9.3 Notes - Mechanics of solving separable differential equations.
9.4 Notes 1 - Differential equation applications.
9.4 Notes 2 - More differential equation application examples.
Final Topics

back to Math 125