__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