June 21

* Course Introduction (slides)

* Review of Differential Equations and Integration Techniques (7.1, 7.2, and 7.5)

* Analysis of Autonomous DEs - Population Models (8.1)

Code for Euler's Method (download, unzip, upload into Jupyter Notebook, run cells in order)

McMaster Jupyter

* Review sections 7.1, 7.2, and 7.5 in the textbook. If it has been awhile since you've taken Math 1LS3, you might want to try some of the practice problems from these sections.

* Read section 8.1 in the textbook. I would recommend looking over the content in this section and read more in depth on anything you are interested in, or need clarification on.

* Work on suggested practice problems from the textbook: section 8.1: 1, 3, 7, 9, 11, 13, 15, 23, 25, 27, 31, 33, 39, 41. Note: While it is not necessary that you complete all suggested practice questions, it is recommended that you do as many of these exercises as you feel necessary to feel confident with the material.

* Work on Assignment 0 on Childsmath. Assignment 0 is due on Friday, June 24th, at 11:59pm. Start Assignment 1 on Childsmath.

** Note: Childsmath is an online assessment system which was developed by Dr. Aaron Childs in our department. In Math 1LT3, we will use this system for our online assignments. You can practice entering answers symbolically by accessing the SystemTutorial, under the Open Resources heading.

June 23

* Analysis of Autonomous DEs - Population Models (8.1)

* Equilibria, Phase-Line Diagrams (8.2)

* Stability Theorem for Autonomous DEs (8.3)

Code for Euler's Method (download, unzip, upload into Jupyter Notebook, run cells in order)

McMaster Jupyter

* Read sections 8.1, 8.2, and 8.3 in the textbook. I would recommend looking over the content in these sections and read more in depth on anything you are interested in, or need clarification on.

* Work on suggested practice problems from the textbook: section 8.1: 1, 3, 7, 9, 11, 13, 15, 23, 25, 27, 31, 33, 39, 41; section 8.2: 1-17 odd, 21, 27; section 8.3: 1-11 odd, 21, 25. Note: While it is not necessary that you complete all suggested practice questions, it is recommended that you do as many of these exercises as you feel necessary to feel confident with the material.

* Finish Assignment 0 on Childsmath. Assignment 0 is due on Friday, June 24th, at 11:59pm. Work on Assignment 1 on Childsmath.

** Note: Childsmath is an online assessment system which was developed by Dr. Aaron Childs in our department. In Math 1LT3, we will use this system for our online assignments. You can practice entering answers symbolically by accessing the SystemTutorial, under the Open Resources heading.

June 28

* Stability Theorem for Autonomous DEs (8.3) - Model for a Disease

* Solving Separable DEs (8.4)

* Systems of DEs (such as the Predator-Prey Model) (8.5)

Code for Euler's Method

* Read sections 8.3, 8.4, and 8.5 in the textbook.

* Work on suggested practice problems from the textbook: section 8.3: 1-11 odd, 21, 25; section 8.4: 1-17 odd, 23; section 8.5: 1-13 odd, 15-18 all, 23, 25, 31 (optional).

* Work on Assignment 1 on Childsmath.

June 30

* The Phase Plane (8.6)

* Solutions in the Phase Plane (8.7)

* Introduction to functions of two variables, z=f(x,y) - domain, range, graphs (section 1 in the Functions of Several Variables module)

Code for Three-Dimensional Plots

* Read sections 8.6 and 8.7 in the textbook. Read section 1 in the Functions of Several Variables module.

* Work on suggested practice problems from the textbook: section 8.6: 11-29 odd, 33-39 odd; section 8.7: 5, 7, 9, 11, 19, 21, 25, 31, 33, 35. Work on suggested practice problems from the Functions of Several Variables module: section 1: 1-25 odd.

* Finish Assignment 1 on Childsmath. Assignment 1 is due on Friday, July 1st, at 11:59pm. Start Assignment 2 on Childsmath.

July 5

* Graphs, level curves, and contour maps (section 2 in the Functions of Several Variables module)

* Limits and Continuity (section 3 in the Functions of Several Variables module)

* Partial Derivatives (section 4 in the Functions of Several Variables module)

* Read sections 2, 3 and 4 in the Functions of Several Variables module.

* Work on suggested practice problems from the Functions of Several Variables module: section 2: 1-23 odd, 24, 37; section 3: 3, 4, 11, 17, 20, 21, 25, 29, 31, 35; section 4: 4, 7, 9, 11, 17, 23, 29, 31, 35.

* Work on Assignment 2 on Childsmath. Assignment 2 is due on Friday, July 8th, at 11:59pm.

July 7

** Test 1: 7pm – 8pm

* Limits and Continuity (section 3 in the Functions of Several Variables module)

* Partial Derivatives (section 4 in the Functions of Several Variables module)

* Read sections 3 and 4 in the Functions of Several Variables module.

* Work on suggested practice problems from the Functions of Several Variables module: section 3: 3, 4, 11, 17, 20, 21, 25, 29, 31, 35; section 4: 4, 7, 9, 11, 17, 23, 29, 31, 35.

* Work on Assignment 2 on Childsmath. Assignment 2 is due on Wednesday, July 13th, at 11:59pm.

July 12

* Tangent Planes, Linearization, and Differentiability section 5 in the Functions of Several Variables module)

* Second-Order Partial Derivatives (section 7 in the Functions of Several Variables module)

* The Directional Derivative and Gradient (section 9 in the Functions of Several Variables module)

* Read sections 5, 7 and 9 in the Functions of Several Variables module.

* Work on suggested practice problems from the Functions of Several Variables module: section 5: 4, 7, 9, 13, 15, 21, 27, 31, 33; section 7: 8, 9, 10, 12, 13, 17, 19, 21, 23; section 9: 1, 5, 9, 11, 15, 19, 23, 25, 29 (Figure 9.10 is the figure at the top of the page), 35, 37.

* Finish Assignment 2 on Childsmath. Assignment 2 is due on Wednesday, July 13th, at 11:59pm. Work on Assignment 3 on Childsmath.

July 14

* Local Extreme Values (section 10 in the Functions of Several Variables module)

* Introduction to Stochastic Models (sections 1 and 2 in the Probability and Statistics module)

Code for Stochastic Models

* Read section 10 in the Functions of Several Variables module and sections 1 and 2 in the Probability and Statistics module.

* Work on suggested practice problems from the Functions of Several Variables module: section 10: 1, 3, 13, 15, 19, 21. Work on suggested practice problems from the Probability and Statistics module: section 1: none; section 2: 1, 3, 5, 7, 9, 13, 17.

* Finish Assignment 3 on Childsmath. Assignment 3 is due on Friday, July 15, at 11:59pm. Start Assignment 4 on Childsmath.

July 19

* Basics of Probability Theory (section 3 in the Probability and Statistics module)

* Conditional Probability and the Law of Total Probability (section 4 in the Probability and Statistics module)

* Independence (section 5 in the Probability and Statistics module)

* Read sections 3, 4, and 5 in the Probability and Statistics module.

* Work on suggested practice problems from the Probability and Statistics module: section 3: 3, 5, 9, 11, 13, 17, 19, 21, 25, 29, 31, 33, 37; section 4: 3, 5, 9, 13, 17, 19, 21, 23, 25, 29; section 5: 1, 5, 7, 11, 13, 15, 19.

* Finish Assignment 4 on Childsmath. Assignment 4 is due on Friday, July 22, at 11:59pm.

July 21

* Discrete Random Variables (section 6 in the Probability and Statistics module)

* The Centre and Spread of a Distribution (sections 7 + 8 in the Probability and Statistics module)

* The Binomial Distribution (section 10 in the Probability and Statistics module)

* Read sections 6, 7, 8, and 10 in the Probability and Statistics module.

* Work on suggested practice problems from the Probability and Statistics module: section 6: 1, 3, 5, 9, 13, 15, 19, 23, 27, 29; section 7: 5, 7, 9, 11, 13, 15, 17 (mean only), 27 (mean only); section 8: 1, 3, 5, 9, 21, 23; section 10: 1, 5, 7, 9, 13, 17, 21, 3, 27, 29, 31, 33.

* Work on Assignment 5 on Childsmath. Note: Assignment 4 is due on Friday, July 22, at 11:59pm.

July 26

** Test 2: 7pm – 8pm

* The Binomial Distribution (section 10 in the Probability and Statistics module)

* Continuous Random Variables (section 13 in the Probability and Statistics module)

* Read sections 10 and 13 in the Probability and Statistics module.

* Work on suggested practice problems from the Probability and Statistics module: section 10: 1, 5, 7, 9, 13, 17, 21, 3, 27, 29, 31, 33; section 13: 1, 3, 5, 9, 13, 17, 21, 23, 29.

* Work on Assignment 5 on Childsmath.

July 28

* The Normal Distribution (section 14 in the Probability and Statistics module)

* Bonus/Optional Material: Introduction to Multiple Integrals (Double Integrals over Rectangles | Double Integrals over General Regions)

* Read section 14 in the Probability and Statistics module.

* Work on suggested practice problems from the Probability and Statistics module: section 14: 1, 3, 5, 9, 13, 15, 19, 21, 27, 31, 33, 35, 37, 39.

* Finish Assignment 5 on Childsmath. Assignment 5 is due on Wednesday, August 3rd, at 11:59pm.

August 2

* Finishing Material

* Exam Review

August 4

* Final Exam: 7pm-9:30pm