Math 187: Math for Civil/Mech 2

Lecture Notes

Lecture notes from Q2, 2013 can be found here.

Handouts (plus a few extras)

Chapter 25:

• Section 25.3: Gilles' handout on the Fundamental Theorem of Calculus
• Section 25.5: Gilles' handout on the Trapezoidal Rule
• Section 25.6: Gilles' handout on Simpson's Rule

Chapter 26:

• Section 26.2: Gilles' handout on the Area Between Curves
• Section 26.4: Gilles' handout on Centroids

Chapter 28:

• Chapter 28: Name That Method! – use this worksheet to practice choosing the correct method for solving each given integral
• Section 28.7: Gilles' Handout on Integration by Parts
• Section 28.7: Gilles' Handout on Integration by Parts – Table Method

Chapter 29:

• Section 29.1: Gilles' Handout on 3D Surfaces
• Section 29.4: Gilles' Handout on Double Integrals

Chapter 30:

• Section 30.1: Gilles' Handout on the Maclaurin Series for sin x
• Chapter 30: Gilles' Series Problems Handout

Tutorials

• Tutorial on Basic Substitution and Answers
• Tutorial on Finding dA (answers at end)
• Tutorial on Finding dV (answers at end)
• Tutorial on Centroids and MOI and Solutions

Extra Examples

Section 28-10:

• Section 28.10: Gilles' Solution to Question #19 (#20 in the 8th edition) – not for the faint of heart – only try if you want a challenge!

Review Materials

Completing the Square – this is intended to be a brief reminder of how to complete the square. If you need more details or more practice, please see me in office hours and I can give you a copy of the notes and/or exercises we use for our upgrading classes.

Algebra Required for Trig Substitution – if you are having trouble with the algebra when you are "substituting back" at the end of trig substitution, then this is the worksheet for you!