There will be no quiz today (Wednesday September 14).
Category Archives: Announcements
Reminder: No Graphing Calculators
No graphing calculators are allowed for our test. A good model to use is:
http://www.lib.ncsu.edu/devices/ti-30x-iis
You can borrow one of these calculators for 4 hours from DH Hill library.
Test 1 Suggested Problems
From the text book supplement: ma_131_supplement. Answers to odd questions are posted at the end of the supplement.
- Sec 10.1: 17, 19, 23
- Sec 10.2: 1,3, 5, 19
- Sec 10.3: 1, 3, 5, 7, 15, 17, 19, 25, 27
- Sec 10.4: 5, 7, 9, 11
From Section 1.1-1.4 in the textbook (exercise numbers are from the 13th edition). Odd answers are in the back of the book.
- Sec 1.1: 1, 3, 7, 9, 11
- Sec 1.2: 5, 7
- Sec 1.3: 1 (remember the derivative of a straight line is just its slope), 3, 5, 7, 9, 11, 13, 15, 17, 19, 23; Find the equation of the tangent line for the function from problems 33, 35, 37, 39, 58 (solution:
, and 
), 63 - Sec 1.4: 29, 30 (solution 12), 31, 32 (solution 2)
Test 1 Topics
Difference equation material can be found in sections 10.1-10.4 of the supplemental text. You can find the supplemental text in the resources section of WebAssign, but I am also posting it here: ma_131_supplement
You should be able to:
- Write the difference equation for a word problem (applications in both finance and population growth). Sec. 10.1
- Write the general solution. (Don't forget about the special situation when
.) Sec. 10.2 - Sketch the graph of various difference equations. Sec. 10.3
- Describe the long term behavior and vertical direction of the graph of a difference equation. Sec. 10.3
- Sketch the graph of a function that is:
- monotonic, oscillating, increasing, decreasing, constant, unbounded, bounded (asymptotic to a line).
- Sketch the graph of a function that is neither monotonic, oscillating, nor constant.
- Sketch the graph of a function that is:
- Solve a word problem by using the graph of the difference equation (see for example example 10 on page 400 of the supplemental text). Sec. 10.3
- Practice problem 3 may also be helpful (its solution is given after the homework problems). For the this type of problem, I would like you to include three graphs on your test.
- Solve a word problem using the general solution. Sec. 10.4
- You may be asked to solve for an initial deposit or loan amount; or a monthly withdrawal, payment or deposit amount.
You are also responsible for Sections 1.1-1.4 (pages 86-87 on the limit definition of the derivative) from the text book.
You should be able to
- Graph a linear equation and give its slope. Sec 1.1
- You should be able to use the power rule to compute the derivative of function at a point or as a function. Sec 1.2
- You should be able to give the slope of the tangent line for a function at a point
either using the power rule or the graph of 
and 
. See for example, Quiz 2. Sec 1.3 - You should be able to sketch the graph of a tangent line (as we did for
). - You should be able to use the limit definition of the derivative to compute the derivative of a function at a point . See for example Example 7 from Section 1.3 and Examples 5-7 from Section 1.4. Sec 1.3-1.4
- I will provide the equation for this limit
.
- I will provide the equation for this limit
Quiz Wednesday
Hi everyone,
We will have a quiz on Wednesday September 7. It will cover equations for tangent lines. I suggest looking at the practice problems from lecture and the WebAssign Assignment Derivatives and tangent lines to help you study.
Sections 1.2 and 1.3 from your textbook may also be helpful.
Best of luck!