Math 210: Calculus I (Fall 2023)
 See here for the syllabus.
Announcements

(9/27) To turn in your unit 1 metacognition diary on Friday, 9/29: after the exam you should have one final entry, reflecting on the unit as a whole. After you finish that, either email me your diary or drop off a physical copy at my office. (If I’m not there, leave it in the mailbox.)

(9/25) For the midterm week I am holding extra office hours. In addition to the times on the syllabus, I’ll be in my office M 2:30–3:30, T 9:00–11:00, W 8:30–9:00 and 3:30–4:00.

(9/19) Remember that the first midterm is Friday, September 29th.

(9/19) Here is a study guide for the first midterm.

(9/18) Here is a sheet of the rules for derivatives. (Note: These rules are spread across sections 3.3, 3.5, 3.6, 3.7, and 3.9 of the textbook.)

(9/11) The tutor for calc 1, Theo Lack, will be hodling review sessions on Sunday 6–7.

(8/28) Here are the introduction slides from day 1.
Homework
For each assignment I will pick among the bolded or starred problems to grade and give you feedback on. That will comprise 80% of your grade for the assignment, with the remaining 20% being based on completion.

Week 5: No homework due to midterm Friday.

Week 4 (due Monday 9/25):
*** Use the limit definition of the derivative to show that the derivative of $\sqrt x$ is $\frac{1}{2\sqrt x}$.
*** Use the quotient rule and the rules for the derivatives of $\sin x$ and $\cos x$ to determine the derivatives of $\sec x$ and $\cot x$.
*** Use the chain rule and the product rule to derive the quotient rule.
3.3 (p263) 106, 110, 114, 115
3.5 (p285) 192, 195
3.6 (p297) 218, 220, 234
3.7 (p306) 280, 283
3.9 (p331) 331, 338

Week 3 (due Monday 9/18):
2.4 (p191) 133, 141, 145, 163, 164, 165
3.1 (p228) 13, 14, 16, 44
3.2 (p243) 54, 62, 66, 67, 78, 96, 97

Week 2 (due Monday 9/11):
2.3 (p176) 87, 91, 93, 99, 102, 106, 108
*** Use the limit rules in Theorem 2.5 (p161) to compute the limit $\lim_{x \to 3} (2x  1)^2$. Give a step by step argument, identifying the rule used at each step.
*** Use the squeeze theorem to compute the limit $\lim_{x \to 0} x^2 \cos(1/x)$. Give your answer as a paragraph along with your calculations, explaining why your calculations demonstrate what the limit is.
4.6 (p436) 261, 266, 279, 287
2.4 (p191) 158(i–iii only), 161

Week 1 (due Monday 9/4):
1.1 (p32) 37, 44;
1.2 (p59) 87, 98;
1.3 (p75) 155, 170;
1.4 (p92) 191, 216;
1.5 (p114) 243, 288;
2.2 (p155) 42, 50–54, 76, 77. [Note: chapter 1 is a review of material you should have covered in a previous class.]
Inclass Worksheets
Schedule
This course is organized into three units. Units 1 and 2 each end in a midterm, while unit 3 ends in an oral final discussion. Homework is assigned weekly (except on exam weeks), and is due Monday the following week.
The schedule below is tentative; we might have small adjustments in the dates. For each week I’ve included which sections from the textbook we will be covering.

Unit 1 (8/28–9/29): Limits, continuity, and introduction to the derivative

Week 1: Introduction, the concept of the limit [Ch 1, 2.2]

Week 2: Limit laws, continuity [2.3, 4.6, 2.4]

Week 3: The IVT, the definition of the derivative [2.5, 3.1, 3.2]

Week 4: Rules for differentiating [3.3, 3.5, 3.6, 3.7, 3.9]

Week 5: Overspill, review, exam


Unit 2 (10/9–11/17): Applications of differentation and introduction to integration

Week 6: Rates of change, implicit differentiation, logarithmic differentation [3.4, 3.8, 3.9]

Week 7: Related rates, the mean value theorem, and L’Hôpital’s rule [4.1, 4.4, 4.8]

Week 8: Extreme values and optimization [4.3, 4.5, 4.7]

Week 9: Antiderivatives and Riemann sums [4.10, 5.1]

Week 10: Definite integrals and the fundamental theorem of calculus [5.2, 5.3]

Week 11: Overspill, review, exam


Unit 3 (11/27–12/13): Rules for integration

Week 12: Rules for integration, substitution [5.4, 5.5]

Week 13: Integration and logarithms, integrals involving inverse trig functions [5.6, 5.7]

Week 14: Overspill, review

Important dates:

Friday, Sept 29: Midterm 1 and first diary due

Friday, Nov 17: Midterm 2 and second diary due

Oral Final Discussion: Scheduled individually with me, TBA