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
- 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.
- 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.
- 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.
- 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.
- 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.
- 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
- 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.
- 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.
- 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)
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)
- 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
- 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
- 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.
- 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