Here are the topics that will be covered on the exam, and where you can find out about each of them:

• Solving initial value problems. Example in 4-20 class notes, exercises in Assignment 5 Exercise 1, solutions here, Assignment 7, on the second page of this, solutions here


• Setting up and solving projectile motion problems. Answering various questions abut projectile motion (max height, horizontal distance traveled, initial angle, etc.). Example in 4-25 class notes, Exercises in Assignment 6, solutions here, and 4-26 class exercises, answers in 4-26 class notes.


• Finding tangential and normal components of acceleration. Example on page 6 of 4-20 class notes, exercises in Assignment 5 Exercise 2, solutions here


• Relationship between acceleration, or tangential and normal components of acceleration, and whether an object is speeding up or slowing down, and whether it is turning. Exercises/example in 4-27 Class Exercises, answers here. Page 4 of 5-3 class notes, Exercise 2 of Assignment 8, solutions here.


• Average rate of change of a function of several variables. Examples on pages 7 - 10 of the 4-30 class notes - you will need to refer to the graph and table of Assignment 9. Exercises in Assignment 9, solutions here.


• Computing partial derivatives of functions of several variables. Pages 10-11 of 4-27 class exercises, Assignment 8 Addendum, solutions here, pages 1-4 of 4-30 class exercises. You could try some of the videos at Mathispower4u Tutorials by James Sousa or Just Math Tutoring by Patrick JMT


• Interpreting partial derivatives of functions of several variables. Exercises 3(e),(f) of Assignment 9, solutions here, Exercise 2 of 5-4 class exercises, answer in 5-4 class notes.


• Graphical representation of functions of several variables. Exercises with solutions.


• Local linear approximation of functions of several variables. 5-4 class exercises, answers in 5-4 class exercises, Exercise 1 of 5-7 class exercises, answers in 5-7 class notes.


• Determining directional derivatives of functions of several variables. Example in 5-7 class notes, Exercises 2 and 3 from the class exercises, solutions here.


• Determining direction of greatest rate of increase or decrease of a function of several variables. Determining greatest rate of increase or decrease for a function of several variables. See page 4 of 5-7 class notes, Exercises 2 and 3 from the class exercises, solutions here.