**Class schedule:**

This calendar is updated weekly, indicating which textbook sections we plan to cover. It is where you will find paper HW assignments, test review documents, and other useful handouts.

**UNIT 1: Limits**

*Week 1:*

*Mon Aug 13.*Introduction to the course (see the syllabus at the top of this page), and Section 2.1 on average versus instantaneous slope.- Log on to WeBWorK and practice with it! Check the syllabus or email me if you're having problems.
- You will need to install VPN (virtual private network) programs if you plan to use WeBWorK off-campus. Read this to see the necessary steps.
- Here's the algebra pretest we cover in class. After trying this, you may want an algebra review.
- I especially recommend practicing fraction manipulation and simplifying nested denominators!

*Tue Aug 14*. Start Section 2.2: basic limit terminology, pictures, some limit laws.- Here's a small handout showing a visual example of limits, in case you couldn't get good detail in the class example covered this day.

*Wed Aug 15*. Finish Section 2.2: factoring with 0/0 forms, rationalizing square root differences.*Fri Aug 17*. Start Section 2.4: one-sided limits, pictures, sin(theta)/theta for small angles theta.- The first WW set (on Section 2.1) is due tonight! Make sure you've been able to log in.
- (Most WW due dates will not be advertised on this site, but I'll point out the first due date.)

*Quiz this week:* None

*There's no paper HW this week: it starts next week**.*

- Here's a demo assignment, together with solutions, to show what my standards for paper HW answers is like.

*Week 2:*

*Mon Aug 20*. Finish limits with sin(theta)/theta, and start Sec 2.5: continuity.*Tue Aug 21*. Finish Sec 2.5: domains of continuous functions, Intermediate Value Theorem.*Wed Aug 22*. Start Sec 2.6: horizontal asymptotes as x -> infinity or x -> -infinity*Fri Aug 24*. Finish Sec 2.6: vertical asymptotes,**making sign charts / diagrams**.- For more detail about how we make sign charts (which is a crucial skill in this course), see this extra handout.

*Quiz this week:* Section 2.2.

**Paper HW 1, due on Friday August 24**

- Take a look at last week's demo assignment to see an example of presentation you could follow.
- Usually, (partial) solutions to paper sets are released on eLC after the class day following the due date.

*Week 3:*

*Mon Aug 27*. Sections 3.1 and 3.2: the definition of the derivative f'(x), Leibniz notation dy/dx, rates of change.*Tue Aug 28*. Sections 3.1 and 3.2: linearity, when a function is not differentiable (vertical tangents, sharp corners).*Wed Aug 29*. Start Section 3.3: basic derivatives for e^x and for power functions x^n, repeated derivatives.- This is NOT COVERED ON TEST 1.

*Fri Aug 31*.**In-class review for Test 1******- See the topic list and practice questions a little further down.

*Quiz this week:* Sections 2.6 and HW_Asymptotes.

**Paper HW 2, due Friday August 31**

- Because there's no class on Monday September 3 before the test, solutions will be released right away on Friday!
- This also means I may not be able to grant late credit; talk to me personally if there are extenuating circumstances.

*TEST 1 WILL BE NEXT TUESDAY, SEPTEMBER 4, IN CLASS.*

- There is no school on Monday September 3 (Labor Day), so review day will be on Friday August 31.
- This test covers Sections 2.1 to 3.2. (Section 3.3 will be saved for Test 2.)
- You will have to compute a derivative by definition only; no derivative rules will be allowed!

- Expect 6 to 8 questions similar to medium-difficulty WeBWorK, with a 75-minute time limit.
- If you want a calculator, the ONLY approved calculator is a TI-30XS Multiview!
- (No calculator is necessary, since you can leave answers unsimplified.)
- These questions should usually be a bit harder than quiz questions but easier than paper HW.

- Although you have to show work, most questions will not ask you for detailed explanations.
- One or two questions might ask for brief explanations though (only one or two sentences), similar to paper HW standards.

- Topic list for the exam
- Practice questions for the exam
- I'll bring copies of this to review day this time. (In the future, I will ask you to bring your own if you want.)
- Some of these problems have solutions included.

*Week 4:*

*Tue Sep 4*.**TEST 1.***Wed Sep 5*. Finish Section 3.3: Product and Quotient Rules, introduce derivatives obtained via a table of values.*Fri Sep 7*. Section 3.4: Rates of change and motion.

*No quiz for this week*

*No paper HW this week*

**UNIT 2: Derivative Rules**

*Week 5:*

*Mon Sep 10*. Section 3.5: Trigonometry Derivatives.*Tue Sep 11*. Start Section 3.6: Chain Rule for composites g(f(x)).*Wed Sep 12*. Finish Section 3.6 and start Section 3.7: More Chain Rule practice, Implicit Differentiation (getting dy/dx from both x and y).*Fri Sep 14*. Finish Section 3.7: Implicit differentiation practice, solving for specific slopes dy/dx = m, second derivatives.

*Quiz this week:* Sections 3.3 and 3.4.

- You could be expected to use the Product or the Quotient Rule to compute a derivative in some context involving object motion, for instance.

**Paper HW 3, due Friday September 14**

*Week 6:*

*Mon Sep 17*. Start Section 3.8: Inverse function derivatives, logarithms, logarithmic differentiation.*Tue Sep 18*. Finish Section 3.8: More logarithmic differentiation, derivatives of general powers f(x)^g(x).*Wed Sep 19*. Section 3.9: Inverse trigonometric derivatives.*Fri Sep 21*. Start Section 3.10: Related Rates.

*Quiz this week:* Section 3.6.

**Paper HW 4, due Friday September 21**

*Week 7:*

*Mon Sep 24*. Continue Section 3.10. Related Rates, mostly with right triangles and Pythagoras.- You may want to see the basic step outline posted last week!
- Class notes for today, and some in-class practice

*Tue Sep 25*. Finish Section 3.10. Related Rates with trig and proportional / similar triangles.- We will not be covering every possible way to use related rates! You're ultimately responsible for practicing your skills at reading mathematical wording and designing an appropriate setup, even in a new word problem setting.

*Wed Sep 26*. Section 3.11. Linear approximation / linearization, differentials dx and dy (change or error).*Fri Sep 28*. Start Section 4.1. Absolute and relative extrema, critical values.*This section will not be covered on Test 2!*

*Quiz this week:* Sections 3.8 / 3.9 **(10 minutes)**

**Paper HW 5, due Friday September 28**

*TEST 2 WILL BE NEXT TUESDAY, OCTOBER 2, IN CLASS*.

- This test covers Sections 3.3 to 3.11.
- Unless the question says so specifically, you do not have to use the formal derivative definition. (You did that on Test 1.) You may use derivative rules instead.
- You may have to prove one of our derivative formulas on the test, especially the ones involving implicit treatment of inverse formulas from Sections 3.8 and 3.9!

- Like with Test 1, expect 6 to 8 problems, to be completed in 75 minutes.
- The only allowed calculator is TI-30XS Multiview, as the syllabus mentions.

- Topic list for Test 2
- Practice questions for Test 2 (in-class review Monday October 1)

*Week 8:*

- Mon Oct 1.
**In-class review for Test 2**. *Tue Oct 2*.**TEST 2***Wed Oct 3*. Finish Section 4.1: critical values, especially on closed intervals. Absolute extrema.*Fri Oct 5*. Start Section 4.2: Mean Value Theorem (visual understanding), checking continuity and differentiability.

No quiz for this week

*No paper HW this week*

**UNIT 3: Applications of the Derivative to Graph Shapes**

*Week 9:*

*Mon Oct 8*: Finish Section 4.2. Rolle's Theorem, Zero-Derivative Theorem, some basic antiderivatives.*Tue Oct 9*: Start Section 4.3. Signs of f'(x), First-Derivative Test for Extrema.- For practice comparing graphs of f(x) and f'(x) with each other, here's a "derivative puzzle" game I found. The idea is to match up pictures of functions with their derivatives!

*Wed Oct 10*: Finish Section 4.3 and start Section 4.4. Concavity, Signs of f'(x) and f''(x).*Fri Oct 12:*Finish Section 4.4. Use f'(x) and f''(x) to make sketches by hand.

*Quiz this week*: Section 4.1

**Paper HW 6, due Friday October 12**

*Week 10:*

*Mon Oct 15*: Start Section 4.5. L'Hopital's Rule for 0/0 or infinity/infinity limit forms.*Tue Oct 16*: Continue Section 4.5. Limits related to e^x or ln(x) for x -> infinity, 0 * infinity limit forms.*Wed Oct 17*: Finish Section 4.5. Limits of infinity - infinity form, indeterminate power forms.*Fri Oct 19*: Start Section 4.6. Optimization introduction.

*Quiz this week*: Sections 4.3 and 4.4 **(10 minutes)**

- You will not have to sketch a graph in this quiz, but you will have to describe the signs of derivatives by either drawing a labeled number line or making a table.

**Paper HW 7, due Friday October 19**

- One of these problems involves analyzing a picture without any formula! Review your notes from Section 4.3 carefully, or you may want to try the "derivative puzzle" game link from last week!

*Week 11:*

*Mon Oct 22*: Continue Section 4.6. Practice with 2D optimization problems.- You may want to reread the summary handout from the end of last week! We will pass this out in class.
- More notes from today's class, including some in-class practice

*Tue Oct 23*: Continue Section 4.6. Practice with 3D optimization problems.*Wed Oct 24*: Finish Section 4.6. Some last 3D problems, optimizing time of travel with two different speeds.- A famous version of the travel time problem was published in a paper called "Do Dogs Know Calculus?" Here's a presentation that summarizes that paper nicely.

- No class on Fri Oct 26 due to Fall Break.

*Quiz this week:* Section 4.5 **(12 minutes)**

**Paper HW 8, due THURSDAY October 25 by 6pm** (due to Fall Break)

- You can give me your assignment in class, in office hours, slid under my office door if I'm not there, or you can email me good-quality photos if necessary so that I can print your assignment.

*TEST 3 WILL BE NEXT TUESDAY, OCTOBER 30, IN CLASS*.

- This test covers Sections 4.1 to 4.6.
- Some problems in this test may ask you to interpret the graph of a function or its derivative without a provided formula, and some problems may ask you to create a sketch. (See Paper HW 7.) To save you time, some of the steps may be completed for you, like providing you f'(x) or f''(x) for free!
- You may be asked to restate what the Mean Value Theorem says, as well as demonstrate your understanding of it with a picture. (See Paper HW 6.) You will not have to compute the "c" that this theorem guarantees.

- Like with Test 1, expect 6 to 8 problems, to be completed in 75 minutes.
**The only allowed calculator is TI-30XS Multiview**, as the syllabus mentions. If you want to bring a calculator for the final exam, this is the only model we will accept.

- Topic list for the test
- Practice problems for the test

*Week 12:*

*Mon Oct 29*:**In-class review for Test 3.***Tue Oct 30*:**TEST 3.***Wed Oct 31*: Start Section 4.8. Anti-derivatives using indefinite integral notation.*Fri Nov 2*: Finish Section 4.8. Solving some initial-value anti-derivative problems.

*No quiz this week*

*No paper HW this week*

**UNIT 4: Basic Integration and the Fundamental Theorem**

*Week 13:*

*Mon Nov 5*: Section 5.1. Signed area under a curve using integral notation, approximating with Riemann sums.- In-class practice (may be a demonstration by me if there isn't enough time)

*Tue Nov 6*: Start Section 5.2. Summation notation, compactly writing general Riemann sums.*Wed Nov 7*: Finish Section 5.2. The definition of the definite integral, working out limits for some simple power integrals.- Here's some basic review of the definition with Riemann sum limits, and a worked-out example.
- For some more background on our closed-forms for sums, the sum of 1 + 2 + 3 + ... + n is very famous and is often called "Little Gauss's Identity". Here's some side reading about where it came from.

*Fri Nov 9*: Section 5.3. Standard properties of the definite integral, average values of functions.

*Quiz this week:* Section 4.8 (antiderivatives)

**Paper HW 9, due Friday November 9**

*Week 14:*

*Mon Nov 12*: Start Section 5.4. The Fundamental Theorem of Calculus (part 2) for evaluating definite integrals, total area and/or displacement.*Tue Nov 13*: Continue Section 5.4. More practice with total area and displacement, Fundamental Theorem (part 1) for differentiating certain integral functions.*Wed Nov 14*: Finish Section 5.4, start 5.5. Last coverage of FTC Part 1, introduction to u-substitution for indefinite integrals.*Fri Nov 16*: Finish Section 5.5. More practice with u-substitution.

*(Final) Quiz this week:* Section 5.2 (writing Riemann sums, including general sums for any n)

- You will not have to solve any limits as n -> infinity for these sums on this quiz.

**(Final) Paper HW 10, due Friday November 16**

- The first problem requires the limit of Riemann sums! There's a handout in last week's notes to show off an example if you need it.

*TEST 4 WILL BE TUESDAY, NOVEMBER 27, IN CLASS (AFTER BREAK)*.

- This test covers Sections 4.8 to 5.5.
- You may be asked to draw a Riemann sum or interpret one already drawn on a graph.
- If you have to find a limit of Riemann sums using summation notation, then summation identities will be provided for you. (See WW 5.2 and Paper HW 10 to see problems of that type.)

- Expect 6 to 8 problems, to be completed in 75 minutes.
**The only allowed calculator is TI-30XS Multiview**, as the syllabus mentions. If you want to bring a calculator for the final exam, this is the only model we will accept.

- Topic list for the exam
- Review problems for the exam

*Week 15 and the last two days of class:*

*Mon Nov 26*: Review for Test 4*Tue Nov 27:***TEST 4***Wed Nov 28:*Start Section 5.6. Substitution with definite integrals and limit changes.*Fri Nov 30*: Finish Section 5.6. Computing the (total) area between two boundary curves.*Mon Dec 3 and Tue Dec 4*: Final Exam preparation, probably go over old finals*Class meets at 11:15am to 12:05pm in our Monday classroom on both days!***See final exam resources at the bottom of this page.****You can email me questions to review over the weekend, and we'll see what we can cover!**

*No more quizzes*

*No more paper HW*

**FINAL EXAM INFORMATION**

Logistics:

- Thursday December 6 from 7pm to 10pm, Miller Learning Center room 148.
- If this time slot conflicts with another exam for you, university policy requires you to move mass exams first. Let me know as soon as possible so we may negotiate makeup arrangements.

- Expect the exam to be around 14 to 16 questions, in a similar style to previous tests.
**The only allowed calculator is a TI-30XS Multiview**. No calculator will be required on the exam, but make sure you have an appropriate model if you want one. I have a couple that I can loan out if necessary.- No other devices, like Internet-accessible watches, will be allowed during the exam.
- You cannot bring your own scratchpaper. We will provide some if you need it, though you can also use the back sides of the exam pages.
- You'll have to store any bookbags or handbags in the side or front of the room during the exam.
- For restroom breaks, you'll need to empty your pockets, and we'll only allow one student in the restrooms at a time. If there are any emergency situations, we'll be reasonable about them, but please try to plan ahead and use the bathroom with ample time before your exam starts.

- Bring picture ID to the exam.

Here's a topic summary for the final exam.

- This also provides a list of formulas to know, and it describes certain standard penalties to expect for notation mistakes.

Here's where you can find old final exams.

Last updated: 11/30/2018