Math 125: Calculus I - Fall 2013

In WebAssign, you'll be able to view the online textbook (free until for first 14 class days).

Problems from Section 1.1

You will be graded not only on whether you get the correct answer but also on the clarity of your mathematical notation and reasoning.

Sec 1.1 # 40. Write complete sentences for your answers to parts b and c.

Sec 1.2 # 38.

Sec 1.3 # 46. Write a complete sentence explaining your answer.

You will be graded not only on whether you get the correct answer but also on the clarity of your mathematical notation and reasoning.

Sec 1.4 # 65, 66, 67, 68. For full credit, you must give a justification for your answer.

Sec 1.5 # 62, 68. For full credit, you must give a justification for your answer.

Sec 1.8:

The function f(x)=ln(x) can be transformed by simple graph transformations so that it:
(i) Passes through the origin and
(ii) The limit of the transformed function as x approaches -3 from the right is positive infinity.
Find a formula for the transformed function and sketch its graph.

Sec 2.1 # 24

Sec 2.2 # 32

Sec 2.3 # 50

Sec 2.4 # 40,41

Sec 2.5: Find each of the following, and sketch a graph of each:

(i) A power function whose first derivative at 0 is 0 but whose second derivative at 0 is non-zero.

(ii) A power function whose first derivative at 0 is non-zero but whose second derivative at 0 is 0.

(iii) A power funciton whose first and second derivatves are zero at zero but is not a constant function.

Sec 2.6 # 16

Sec 3.1 # 82

Sec 3.2: # 49, 50

Note these are for practice only; these assignments are worth 0 points.

Be sure to do all parts of each problem!

Sec 3.5 # 60 (p. 154)

Sec 3.6 # 66 (p. 161)

Sec 3.7 # 34 (p. 164)

Sec 3.10 # 18 (p. 179) ** Explain your answer using a result from section 3.10.

Sec 4.1 #13, 14 (p. 193)

Sec 4.1 additional: `Optimization' is a broad term meaning the search for the maximum or mininum value of a function. It often involves taking a derivative and setting it equal to zero. Talk with a professor or graduate student NOT from the math department and ask for an example of how optimization is used in their discipline. Write the name of the person you talked with and the example they provided and submit it as part of your homework.

Sec 4.6 # 40ab (p. 239)

Sec 4.7 # 45, 46, 47 (p. 248)

Sec 5.1 # 10, 11, 12 (p. 278)

Sec 5.3 # 46, 47 (p. 298)

Sec 5.4 # 54, 55, 56 (p. 308) Draw a separate picture for each problem.

Sec 6.1 # 4, 5 (p. 323)

Sec 6.1 # 24 (p. 325)

Sec 6.2 # 26, 28, 60 (p. 331)

Sec 6.3 # 10 (p. 337)

HW 10 is the last written homework assignment!

Calculators WILL be allowed. You may bring a graphing calculator, preferably a TI-83 or TI-84. Calculators that perform symbolic manipulations, such as the TI-89, NSpire CAS, or HP50g, can not be used.

No question will require you to use a calculator. If you do use a calculator on the test, you will have to explain how you used it.

The final for our class is Monday Dec 16 in Chem 111 from 1-3pm. Mark your calendar! Other sections of Calc I take their final in other rooms

7 suggestions for studying for the final.

1) Read the instructions for the final exam at this link. Know what to expect logistically.

2) Make a list of all the topics from this course. Put a star next to topics you don't remember well or know you have problems with. Review your notes and problems on these starred topics especially during your studying.

3) Do practice problems from the Final Exam Study Guide and More Pracice links linked from this page. Work on the problems for a few days. If you are really stuck on a problem, then look at the answer keys (posted at the same link).

4) Get out all 4 of your tests. On a blank page, copy down just the questions of those problems you got wrong. After studying for a few days, find a quiet environment where you can work uninterrupted and try to do these problems, no notes. Give yourself plenty of time and don't give up when you get stuck. If you still can't do a problem, look through your notes, and then repeat this exact same process until you are confident on all the previous test questions.

5) Re-do any written homework problems you got wrong. Try to do nearby numbered problems in the text. Remember that odd-numbered problems have answers in the back of the book.

6) Email me any questions you have.

If all else fails, here's an advance copy of the final exam.