Handouts
Summer 2024
Summer 2024
Also see Lecture Notes for in-class notes.
In-class
Thursday: Trig Integrals - sin/cos (solutions)
Friday: Big 12 Trig Integrals (solutions)
References
Derivatives and Antiderivatives
Trig Reference
Extras
Antiderivative Review
Geometric u-sub (solutions)
In-class
Thursday: Integrals Big Picture Activity (solutions)
Friday: Approximate Integration Activity (solutions)
References
Trig Sub Reference
Extras
Trig Sub Practice (solutions)
Info about Approximate Integration
Integral of sec^3(x)
Activities
Tuesday: Comparison Theorem Activity (solutions)
References
Useful Facts for Comparison Theorem
Extras
Desmos visualization for volume example
Image for HW 3 Problem 7
Complete the Square Examples
In-class
Wednesday & Thursday: Work examples handout (see lecture notes for solutions)
References
Units Reference Sheet - for Work Section
Extras
Method of Disks/Washers vs Method of Shells
Extra Work Examples
Written HW 4 Hints
In-class
Tuesday: Parametric Matching Activity (solutions)
References
Center of Mass Formulas
Extras
How to graph parametric curves in Desmos
Desmos: Parametric curves of the form x=cos(mt), y=sin(nt)
In-class
Tuesday: Polar Graphing Examples
Thursday: Areas Between Polar Curves
References
Arc Length Formulas
Polar Curve Reference
Extras
HW 6 Hints
In-class
Monday: Sequence Definitions and Monotone Convergence Theorem
Tuesday: The sequence r^n
Wednesday: Geometric Series Examples (solutions)
Friday: Comparison Big Picture (solutions)
In-class
Monday: Alternating Series Test Activity (solutions)
Thursday: Factorial Practice (solutions)
Friday: Alternating Series Remainder Estimate (solutions)
References
Convergence Tests Summary (solutions)
To use to create your own study materials: Big Sheet of Series Tests
Extras
Desmos link: Plotting terms and partial sums for a series
HW 8 Hints
In-class
Monday: Taylor Polynomial Activity (solutions)
Power Series Notes Handout
References
Power Series Facts and Definitions
Extras
Desmos: Taylor Polynomials of e^x
In-class
Tuesday: Taylor's Inequality Examples (see lecture notes for solutions)