MATH 193: Applied Math for Civil/Mech 2

Textbook

The textbook can be found on its own page.

Lecture Notes

Here are the lecture notes for Winter, 2018.

Integral Calculus

• Review: Derivatives on Mon, Jan 8
• Review: Integrals on Mon, Jan 8
• Section 28.1 on Tues, Jan 9
• Section 28.1, cont'd on Wed, Jan 10
• Section 28.2 on Wed, Jan 10
• Section 28.3 on Thurs, Jan 11
• Section 28.4 on Fri, Jan 12
• Section 28.4, cont'd on Mon, Jan 15
• Section 28.6 on Mon, Jan 15
• Section 28.6, cont'd on Tues, Jan 16
• We also worked through the Basic Substitution Tutorial which you can find below under Extra Examples.
• Section 28.7 on Thurs, Jan 18
• Section 28.7, cont'd on Fri, Jan 19
• Section 28.9 on Mon, Jan 22
• Section 29.1 on Mon, Jan 22
• Section 29.2 on Tues, Jan 23
• Section 29.3 on Tues, Jan 23
• Section 29.3, cont'd on Wed, Jan 24
• Section 29.4 on Thurs, Jan 25
• Section 29.4, cont'd on Fri, Jan 26
• Section 29.4, cont'd on Mon, Jan 29

Differential Equations

• Section 31.1 on Tues, Jan 30
• Section 31.1, cont'd on Wed, Jan 31
• Section 31.2 on Wed, Jan 31
• Section 31.4 on Wed, Jan 31
• Section 31.4, cont'd on Mon, Feb 5
• Section 31.4, cont'd on Tues, Feb 6
• Section 31.6 on Tues, Feb 6
• Section 31.6, cont'd on Wed, Feb 7
• Section 31.6, cont'd on Thurs, Feb 8
• Section 31.6, cont'd on Fri, Feb 9
• Review of 31.2 and 31.4 on Fri, Feb 9
• Monday, Feb 19: We worked through Susie's Mixed First-Order DE Practice which you can find below under Extra Examples.
• Section 31.7/8 on Tues, Feb 20
• What it means to solve a DE on Wed, Feb 21
• Section 31.7/8, cont'd on Wed, Feb 21
• Section 31.7/8, cont'd on Thurs, Feb 22
• Section 31.7/8, cont'd on Fri, Feb 23
• Section 31.9 on Fri, Feb 23
• Section 31.9, cont'd on Mon, Feb 26
• Section 31.9, cont'd on Tues, Feb 27
• Section 31.9, cont'd on Wed, Feb 28
• Section 31.10 on Wed, Feb 28
• Section 31.10, cont'd on Thurs, March 1
• Section 31.10, cont'd on Fri, March 2
• Section 31.10, cont'd on Mon, March 5

Statistics:

For the statistics portion, we are filling in the Statistics coursepack (for more info, see the Textbook page). You can find my annotations to date below.

• Section 1
• Section 2
• Section 3
• Section 4
• Section 5
• Section 6
• Section 7
• Section 8
• Section 9
• Section 10

Problem of the Day

• Integration Problem of the Day

Final Exam Review

• Review on Thursday, April 12
• Review on Friday, April 13

Previous Lecture Notes:

• Previous lecture notes for Winter 2017.
• Susie's lecture notes for Winter 2017 can be found on her Math 193 Lectures page.

Videos

Leah Howard's videos for Math 193.

Handouts

Chapter 28: Methods of Integration

• Chapter 28: Basic Integration Formulae – I printed the formula sheet for Test #1 on the reverse side
• Section 28.7: Gilles' Handout on Integration by Parts
• Section 28.7: Gilles' Handout on Integration by Parts – Table Method

Chapter 29: Partial Derivatives and Double Integrals

• Section 29.1: Gilles' Handout on 3D Surfaces
• Section 29.4: Susie's Exercises on Double Integrals using Polar Coordinates and Solutions
• Section 29.4: Gilles' Handouts on Double Integrals, Double Integrals in Polar Coordinates, and and Double Integrals – Converting from Rectangular to Polar

Chapter 31: Differential Equations

• Section 31.1: Writing Differential Equations and Solutions
• Section 31.2: Susie has put together a brief explanation on Dropping the Absolute Value Signs in DEs
• Section 31.4: Helpful Hints for Solving Linear DEs
• Section 31.4: Useful Properties of Logs
• Section 31.6: Word Problems
• Section 31.7/8: Solutions for 2nd-order Linear Homogeneous DEs
• Section 31.7/8: Complex Numbers
• Section 31.7/8: I've put together a brief explanation on Why Complex Roots Give Solutions in Sine and Cosine
• Section 31.7/8: Susie's handout on Higher-Order Homogeneous DEs
• Section 31.9: Susie's handout on Non-Homogeneous DEs
• Section 31.10: Mass-spring Systems
• Section 31.10: Word Problems

Statistics

• Section 6: Standard Normal Table
• Section 7: Sampling Plans
• Section 8: t-Distribution Table

Extra Examples

Chapter 28:

• Tutorial on Basic Substitution and Answers
• Susie's Mixed First-Order DE Practice and Solutions

Review Materials

• Exponents and Logs
  • Need some student-friendly help on exponents and logs? Check out Chapter 5 in my (now obsolete) MATH 163 online textbook. Please note that the level of this text is a little lower than that required for MATH 193, but it will certainly get you started.
• 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.