__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.- There may be more handouts for this class. This will be updated later in the week.

*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!

Last updated: 10/14/2018