Math 125 - Calculus II - Dr. Loveless Materials

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How to use this page:

Click the sections we are working on.
Review notes/examples as you do homework in an organized handwritten notebook.
Use review sheets and ask questions, then try test preps to check understanding.
Use exam review archive before tests working through several old exams.

Reference

Sections 4.9, 5.1, 5.2

Lecture Outlines and Video Supplements:

Course Intro: pdf | doc
4.9 - Antiderivatives & Acceleration: pdf | doc
- 4.9 Intro and Example Video
- Why ln|x| instead of ln(x)?
5.1 - Reimann Sums & Defining Area: pdf | doc
5.2 & 5.3 - Integral Notation and FTOC (part 1): pdf | doc

Test Preps:

Review Sheets:

Sections 5.3, 5.4, 5.5

Lecture Outlines and Video Supplements:

5.3 & 5.4 - FTOC (part 2) and Indefinite Integrals: pdf | doc
5.4 & 5.5 - Net/Total Change and Substitution: pdf | doc
- Net and Total Change Motivation | Desmos
- Velocity and Initial Conditions Motivation | Desmos

Test Preps:

Review Sheets:

Sections 6.1, 6.2, 6.3

Lecture Outlines and Video Supplements:

6.1 Lecture - Area Between Curves: pdf | doc
- 6.1 - Graphing Review
- 6.1 - Labeling Graphs and Set-Up
6.2 Lecture - Volumes by Cross-Sectional Area: pdf | doc
6.3 Lecture - Volumes by Shells: pdf | doc
- Volumes, Volumes, and More Volumes Examples

Test Preps:

Test Prep on 6.1, 6.2, and 6.3 - Video Solns

Review Sheets:

6.1–6.3 Review
Choosing dx/dy Quiz - Solns - Video

Sections 6.4, 6.5

Lecture Materials:

6.4 Lecture - Work: pdf | doc
- 6.4 - Summary Video of Key Examples
- 6.4 - Live videos of leaky buckets and stacks of books
6.4 and 6.5 Lecture - Work and Average Value: pdf | doc
- 6.5 - Summary Video and Derivation
- 6.5 - Minimizing Volume?

Review Sheets:

Test Preps:

Test Prep on 6.4 and 6.5 - Video Solns

Sections 7.1, 7.2

Lecture Materials:

7.1 Lecture - Integration by Parts: pdf | doc
7.2 Lecture - Integration by Parts: pdf | doc
- Just for fun: The history of integrating sec(x)
- Just for fun: Integrating sec^3(x)

Review Sheets:

Test Preps:

Test Prep on 7.1, 7.2 and 7.3 - Video Solns

Sections 7.3, 7.4

Lecture Materials:

7.2/7.3 Lecture - Intro to Trig Substituion: pdf | doc
7.3 Lecture - Trig Substituion: pdf | doc
7.4 Lecture - Partial Fractions: pdf | doc
- Partial Fraction Overview
- Irreducible Quadratics and Completing Square

Review Sheets:

Test Preps:

Test Prep on 7.4 and 7.5

Sections 7.5, 7.7, 7.8

Lecture Materials:

7.5 Lecture - Intro to Trig Substituion: pdf | doc
7.7 Lecture - Approximating Integrals: pdf | doc
- 7.7 Summary
7.8 Lecture - Improper Integrals: pdf | doc

Review Sheets:

Sections 8.1 and 8.3

Lecture Materials:

8.1 Lecture - Arc Length: pdf | doc
- 8.1 Motivation and Visuals - Desmos

Review Sheets:

Ch. 8 & Ch. 9 Review

Test Preps:

Test Prep on 8.1 and 8.3 - Video Solns Part 1 - Video Solns Part 2

Sections 9.1, 9.3, 9.4

Lecture Materials:

9.1 Lecture - Intro to Diff. Equations: pdf | doc
9.3 Lecture - Separable Solving: pdf | doc
9.4 Lecture - Natural Growth and Newtons Cooling Law: pdf | doc
9.4 Lecture 2 - Mixing and Air Resistance: pdf | doc

Test Preps:

Test Prep on 9.1, 9.3 and 9.4 - Video Solns

Review Sheets:

Ch. 8 & Ch. 9 Review

Differential equations supplemental materials:

These are materials I hand out in the first week of Math 207, but they likely will be helpful to you as well if you are struggling with applications...
Diff. Eq. Basic Applications Practice Sheet
Longer Discussion of Diff. Eq. Applications
First Week Quiz from Math 207 - Solns

Click Here for Dr. Loveless Exam Studying Resources

Open the sections below for topic and exam specific review materials.

Click Here for the Math 125 Final Exam Archive

Finals only (all past finals and solutions, if posted).

Exam 1 Review Sheet

Review Sheets:

Exam 2 Review Sheet

Review Sheets:

Final Review Sheet

Review Sheets:

Final review checklist