**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.

Clicking on each day leads you to a document with basic announcements, the daily exercise, solutions, and room for making a study guide.

**UNIT 1: Limits**

*Week 0:*

*Wed Aug 14.*Introduction to the course (see the syllabus in the right margin of this page), and Section 2.1 on average versus instantaneous slope.- Introductory slideshow (as a PDF file) to welcome you to the class
- 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. Afterwards, log on and try out the precalculus review assignment?

*Fri Aug 16*. Start Section 2.2: basic limit terminology, pictures.

*Quiz this week:* None

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

*Week 1:*

*Mon Aug 19*. Finish 2.2 and Start 2.3: vertical asymptotes, limit laws.- Your first WW set (2.1) is due tonight! Make sure you also start looking at 2.2, because its quiz is tomorrow.
- (In the future, I will not put up website announcements of WW due dates. You are responsible for checking WeBWorK regularly.)

*Tue Aug 20*. Continue 2.3: More 0/0 Forms, Rationalization.*Wed Aug 21*. Finish 2.3, start 2.4: Squeeze Theorem, Continuity, Piecewise Functions.*Fri Aug 23*. Finish 2.4: Finding domains of continuous functions, Intermediate Value Theorem, sign charts.- The exercise at the end of class demonstrates very important skills we will use extensively in later chapters! Make sure you can complete this entire problem (with practice and review) and complete the entire study guide at the end of this daily exercise set.

*Quiz this week:* Section 2.2 (understanding limits via pictures)

**Paper HW 1, due Friday 8/23 in class**

- To see what a paper set can look like, here's a demo problem and its solution.
- These problems can be more creative than the WeBWorK problems! Try to start these early, and you may want to use office hours to look over draft attempts.
- Partial solutions go on eLC after graded papers are returned to students.

*Week 2:*

*Mon Aug 26*. Start 3.1 and 3.2: Definition of derivative, secant and tangent lines.- Paper HW 1 solutions usually go on eLC on the Monday after the assignment was due. Look in the Content area of the eLC page.
- Math department study halls are open now! They are held in Boyd 204 on Mondays-Thursdays from 5pm to 8pm.

*Tue Aug 27*. Continue 3.1 and 3.2: Leibniz notation, differentiable points, pictures of f'(x).*Wed Aug 28*. Finish 3.2, start 3.3: Repeated derivatives, the power law of derivatives.*Fri Aug 30*. Test 1 review- Topic list for the test
- Click on the daily link to see practice problems and study suggestions.
- Solutions to some of the practice problems
- NO CLASS MONDAY 9/2 due to Labor Day

*Quiz this week:* Section 2.3 **(10 minutes)**

**Paper HW 2, due Friday 8/30 in class**

- Since there's no class on Monday 9/2, I will upload full solutions to these problems on eLC sometime over the weekend.

TEST 1 IS NEXT TUESDAY, 9/3, IN CLASS.

- This covers limits (Chapter 2) and the definition of derivative (Sections 3.1 and 3.2.) You have all 75 minutes of class to take the test.
- Expect 6-8 questions on it similar to past assignments (generally easier than paper HW). You do not have to write long sentences in answers, but you may be asked for a bit of explanation.
- The only allowed calculator in exams is the TI-30XS Multiview, but you may leave unsimplified answers similar to WW standards.
- We have a review day in class on Friday (since there's no school Monday). See Friday's notes above for review documents.

**UNIT 2: Derivative Rules**

*Week 3:*

- No class on Mon Sep 2 (Labor Day)
*Tue Sep 3*.**TEST 1**- The test should be graded by Friday at the latest. I can make short appointments to review the exam with people during next week.

*Wed Sep 4*. Finish 3.3: Product and Quotient Rules- From this point onward, you may use derivative rules instead of the definition of derivative, unless the question specifically tells you to use the derivative definition (like in Test 1).

*Fri Sep 6*. 3.4, start 3.5: Derivatives as Rates of Change, Sine and Cosine Derivatives- The homework for 3.4 is not very long, so it has an unusual due date (next Wednesday, Sep 11).

*No quiz this week (due to test)*

*No paper HW this week (due to test)*

*Week 4:*

*Mon Sep 9.*Finish 3.5, start 3.6: Other trigonometric derivatives, Chain Rule.*Tue Sep 10*. Finish 3.6: More Chain Rule practice*Wed Sep 11*. Start 3.8: Implicit Differentiation.- We skip 3.7 (inverse functions) and return to it next Monday.

*Fri Sep 13*. Finish 3.8: More difficult tasks with implicit differentiation.

*Quiz this week:* Section 3.3

**Paper HW 3, due Friday 9/13 in class**

- The first question must be done with the Product Rule (even though we learn about the Chain Rule in this week of class).

*Week 5:*

*Mon Sep 16*. 3.7: Brief recap of inverse functions, inverse derivative rule, inverse trigonometry derivatives.- If you want more review of inverse trig functions, this may be useful.
**The "implicit method for inverse derivatives" shown in this class is a topic that can show up on tests!**The technique used for arcsin(x) and arctan(x) in these class notes has several tricky steps involving right triangle trigonometry (SOHCAHTOA), and I can help you with this outside of class if your memory of trig is rusty.

*Tue Sep 17*. Start 3.9: Exponential and logarithm derivatives, logarithmic differentiation.*Wed Sep 18*. Finish 3.9: Different bases in exponentials and logs, derivatives of general powers f(x)^g(x).- After today, the Power Rule for (x^n)' works for ALL constants n (even irrational ones)!

*Fri Sep 20*. Start 4.1: Related rates.- Summary handout of the main steps, along with some useful formulas
- This topic is tricky! It takes a lot of practice to read carefully, set up your information in an organized manner, and compute the correct derivatives. I would encourage everyone to bring a practice problem to office hours from your textbook exercises.
- We will continue with this topic on both Monday and Tuesday of the following week as well!

*Quiz this week:* Section 3.6

**Paper HW 4, due Friday 9/20 in class**

*Week 6:*

*Mon Sep 23*. Continue 4.1: Related rates, mostly with distance and Pythagorean formulas.- This is the summary handout for related rates that was also uploaded last Friday.

*Tue Sep 24*. Finish 4.1: Related rates, with SOHCAHTOA and similar-triangle problems.*Wed Sep 25*. Section 4.2: Linear approximation (aka linearization) and differentials.- This is the last topic on Test 2.

*Fri Sep 27*. Start 4.3: Absolute and local extreme values, critical points of functions.- This material is not on Test 2. We'll finish it right after Test 2.

*Quiz this week:* Section 3.9 **(10 minutes)**

**Paper HW 5, due Friday 9/27 in class**

TEST 2 IS NEXT TUESDAY, 10/1, IN CLASS.

- This covers from Section 3.3 (product and quotient rules of derivatives) up to Section 4.2 (linearization and differentials). Expect about 6-8 questions for 75 minutes of time.
- You may use any derivative rule you want from class in problems, unless the question's directions specifically tell you to use the definition (like in Test 1) or give you further restrictions.
*There might be a problem that makes you prove a derivative rule using an implicit method!*For example, look at the class on Section 3.7 where we studied the inverse trigonometric derivatives.

- Topic list for the exam
- Practice questions for the exam (this will also serve as Monday's daily document)
- Some solutions will be uploaded on Monday, under that day's notes.

**UNIT 3: Derivative Applications**

*Week 7:*

*Mon Sep 30.*Test 2 review*Tue Oct 1*.**TEST 2**- WW 4.3 will get released after this test, because it was first covered last week! It is due SATURDAY night.

*Wed Oct 2*. Finish 4.3, start 4.4: More examples of the Closed Interval Method, introduce Mean Value Theorem and represent it visually.*Fri Oct 4*. Finish 4.4, start 4.5: MVT with inequalities on f'(x), First-Derivative Test for Extrema.- Revisit August 27's class, where we compare graphs of f(x) and f'(x)!
- We will spend Monday and Tuesday next week continuing with curve-sketching.

*No quiz this week (due to test)*

*No paper HW this week (due to test)*

*Week 8:*

*Mon Oct 7*. Continue 4.5: Concavity and inflection points.- For practice comparing graphs of f(x) and f'(x), try this "derivative puzzle game".

*Tue Oct 8*. Finish 4.5: Sketch practice using f'(x) and f''(x)*Wed Oct 9*. Start 4.6: Horizontal asymptotes as x -> +-infinity- You may want to briefly review Vertical Asymptotes from Section 2.2.
- We will skip the coverage of slant asymptotes and formal limit definitions in the textbook.

*Fri Oct 11*. Finish 4.6: More curve sketching practice

*Quiz this week:* Section 4.3 (critical values)

**Paper HW 6, due Friday 10/11 in class**

*Week 9:*

*Mon Oct 14*. Start 4.7: Basic setup of optimization problems.*Tue Oct 15*. Continue 4.7: More 2D optimization problems.*Wed Oct 16*. Continue 4.7: Some 3D optimization problems.*Fri Oct 18*. Finish 4.7: A Few Misc Optimization setups- For more background on a similar travel-time problem, there was a fun short paper published in 2003 called "Do Dogs Know Calculus?" It involves a math teacher playing fetch with his dog, and the dog ends up aiming for a calculus-optimal path!

*Quiz this week ( 10 minutes):* Section 4.5 (signs of the first two derivatives)

**Paper HW 7, due Friday 10/18 in class**

- This should be a tricky assignment. Look over it early!

*Week 10:*

*Mon Oct 21*. Start 4.8: Limits of 0/0 or infinity/infinity with L'Hopital's Rule.*Tue Oct 22*. Continue 4.8: Limits of 0*infinity and infinity-infinity forms.*Wed Oct 23*. Finish 4.8, and briefly start 4.10: Power indeterminate forms, introduce the indefinite integral notation.- I encourage you to read ahead in Section 4.10 for Friday's class! The book has some great practice to check out. Friday's class may be a bit rushed.

*Fri Oct 25*. Finish 4.10: Antiderivatives, basic rules, initial-value problems

*Quiz this week ( 10 minutes)*: Section 4.7 (setting up an objective function and domain but not actually determining absolute max or min)

**Paper HW 8, due Friday 10/25 in class**

TEST 3 IS NEXT TUESDAY, 10/29, IN CLASS.

- This covers from Section 4.3 (critical values and Closed Interval Method) up to Section 4.10 (antiderivatives). We skipped over Section 4.9 (Newton's Method).
- Section 4.4 (Mean Value Theorem) will most likely not be on the test. If it appears, you would only be asked to check whether the hypotheses are valid for a particular function and interval (like at the beginning of the WeBWorK).

- Expect about 6-7 questions for 75 minutes of time. It's more likely that you'll have a smaller number of questions, but the questions are bigger.
- There will be at least one or two questions that deal with a picture of a curve. For instance, a picture may be given to you, and you reason straight from the picture. Alternately, you might have to draw a sketch yourself from first and second derivative information.
- Paper HW 7 would be a good indicator of what I'd ask, though the test questions would be a bit easier.

- Topic list for the test
- Practice questions for the test
- Some solutions will be uploaded on Monday.

**UNIT 4: Introduction to Integrals, Fundamental Theorem**

*Week 11:*

*Mon Oct 28*. Test 3 review*Tue Oct 29*.**TEST 3***Wed Oct 30*. Start 5.1 and 5.2: Area approximation under a function.- We jump around a bit in these sections. For instance, we start with the middle of 5.2, which works out signed areas of some known shapes. Then we discuss rectangle sums in 5.1. (We will study summation notation from 5.1 next week though.)

*No class on Fri Nov 1 (Fall Break)*

*No quiz this week*

*No paper HW this week*

*Week 12**:*

*Mon Nov 4*. 11.1 and 11.2: Introduction to summation notation, especially for Riemann sums.*Tue Nov 5*. 11.2: Limits of Riemann sums in simple polynomial cases (definition of definite integral).- Extra summary handout, with example, to demonstrate limits of Riemann sums
- You will not have to memorize any summation identities except for the summation of 1's... that one is much more obvious than the rest.

*Wed Nov 6*. 11.2: Basic laws of the definite integral, average values.*Fri Nov 8*. Start 11.3: Fundamental Theorem of Calculus, part 2.- We actually go out of order here and cover Part 1 in the next class!

*Quiz this week:* Section 5.1 (writing basic Riemann sums with a fixed number of rectangles)

**No calculators are allowed for this quiz.**Leave answers unsimplified.

**Paper HW 9, due Friday 11/8 in class**

- For the second problem, I encourage you to check out my extra handout under Tuesday's notes above.

*Week 13**:*

*Mon Nov 11*. Finish 5.3: Fundamental Theorem part 1.*Tue Nov 12*. 5.4: Net Change Theorem, computing total distance versus (signed) displacement.*Wed Nov 13*. Start 5.5: Substitution in indefinite integrals.- This is really a mix of 5.5 and 5.6 (as the WW title indicates), but you don't really have to read through 5.6 in the book. Skimming it might be recommended.

*Fri Nov 15*. Finish 5.5: More substitution practice, substitution in definite integrals.

*Quiz this week:* Section 5.3 (Fundamental Theorem part 2)

- This is the final quiz!

**Paper HW 10, due Friday 11/15 in class**

- This is the final paper HW!

TEST 4 IS NEXT TUESDAY, 11/19, IN CLASS.

- This covers from Section 5.1 (area via geometry or approximations with finite Riemann sums) to 5.5 (substitution). We are skipping Section 5.6, though problems with e^x or ln(x) could appear on the test.
- This is our last midterm. We will still have a few small topics after it, though, which can be covered on the final exam.

- As usual, expect 6-7 questions on this test for 75 minutes.
- This will probably be more like Test 1 than Test 3, because the calculations are shorter, but you have more new vocabulary and pictures introduced in this unit.

- There will most likely be a question where you have to use the
*definition*of the integral (limit of Riemann sums) to compute the integral of a simple polynomial.- Unless the problem instructs specifically otherwise, though, you will be allowed to use the Fundamental Theorem to compute integrals.

- Topic list for the exam
- Practice problems for the exam
- Partial solutions will be uploaded on Monday, in this calendar area for next week.

**FINAL MATERIAL: Three more classes, then review**

*Week 14 + Monday of Week 15:*

*Mon Nov 18*. Test 4 review*Tue Nov 19*.**TEST 4***Wed Nov 20*. 5.7: Inverse trigonometric integral problems*Fri Nov 22*. 6.1: Areas between two curves- We finish this topic on Mon Nov 25, and that's our last day of new content.

*Mon Nov 25*. 6.1: Areas between two curves integrating by y.

*No more quizzes or paper HW*

*Rest of week 15 and 16: Final Exam Review!*

*Proposed review outline and tips*for the rest of our class time- Bring questions to class for review! (Email me in advance?)

- Tue Nov 26. Overview of previous midterms
- Mon Dec 2 and Tue Dec 3. Go through the Fall 2018 final.
- Wed Dec 4. Any other questions, such as from other finals?
- I encourage you to save one practice exam to try for yourself a few days before the actual exam, treating it like a real exam!

**Office hours for Finals, Fall 2019**

- Thu 12/5: 12:30-4:30
- Fri 12/6: 9:00-11:00 and 1:00-4:00
- Mon 12/9: 9:00-11:00 and 1:00-5:00
- Tue 12/10: 9:00-11:00

Final exam information, such as topics and old exams

- Our exam is on
**Tuesday December 10, 7pm to 10pm, in MLC 248**. Several policies are listed in the review outline above. - I encourage you to fill out a study schedule to plan when you will review each unit.

Last updated: 12/4/2019