### 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.

Problem of the Day

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

### 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.