Mathematics 10A

Fall, 2017
TuTh 8:10-9:00AM, 155 Dwinelle Hall

Introduction to differential and integral calculus of functions of one variable. Representation of data, elementary probability theory, statistical models, and testing.

Professor Kenneth A. Ribet email: Telephone: 510 642 0648 Fax: (510) 642-8204 Office hours (885 Evans Hall)

"The instructor is very receptive to questions and is always eager to help. He responds quickly on Piazza and sits at the SLC every week to help out with homework and answer questions. He has a wonderful attitude toward the students; it is fantastic how enthusiastic the instructor is in getting to know his students. His willingness to befriend his students is truly a privilege for the students."

GSI Office Hours

Who?	Where?	When?
Katrina Biele	739 Evans	M F 3:30-4:30PM
Ben Castle	737 Evans	M Th 2-3PM
Daniel Chupin	840 Evans	W 12:30-1:30PM
		F 4:30-5:30PM
Frederick Huang	852 Evans	Tu 10AM-12PM
Christopher Miller	1049 Evans	Tu Th 10-11AM
Maryam Shadmehr	868 Evans	Th 3-5PM
Theodore Zhu	SLC	M 4-6PM
	1085 Evans	Th 1-2PM

Discussion Sections

Section	Time	Room	GSI
201	3:40PM	736 Evans	Katrina Biele
204	9:40AM	B56 Hildebrand	Daniel Chupin
205	9:40AM	B51 Hildebrand	Maryam Shadmehr
206	11:10AM	70 Evans	Daniel Chupin
207	11:10AM	87 Evans	Christopher Miller
208	12:40PM	70 Evans	Maryam Shadmehr
209	12:40PM	87 Evans	Christopher Miller
210	3:40PM	3119 Etcheverry	Frederick Huang
211	3:40PM	B56 Hildebrand	Ben Castle
212	5:10PM	85 Evans	Katrina Biele
213	5:10PM	75 Evans	Frederick Huang
214	5:10PM	6 Evans	Ben Castle
215	2:10PM	2 Evans	Theodore Zhu

Textbook

Our primary textbook will be the Berkeley custom edition of Calculus for the Life Sciences by S.J. Schreiber et. al. We will also be using three .pdf files that you can find in the "Online textbook" folder on bCourses.

"Ribet's such a nice, tubular dude that I enjoyed going to his lectures despite my great difficulty in understanding most of the material."

Examinations

• First midterm exam, Tuesday, September 26, 2017, in class (median 32.5, maximum 40.0, mean 30.81, standard deviation 7.18, questions, questions and answers)
• Last midterm exam, Thursday, October 26, 2017, in class (median 28.0, maximum 40.0, mean 26.64, standard deviation 8.06, questions, questions and answers)
• Final examination, Thursday, December 14, 2017, 7-10PM (median 49.5, maximum 70.0, mean 46.33, standard deviation 14.97, questions, questions and answers)

Class schedule

"We should be able to absorb the information by simply looking at the slides without having to read full sentences."

Date	Subjects
Aug. 24	Intro to the class Functions
Aug. 29	Sequences Limits of sequences Limits of functions
Aug. 31	More on limits What is a derivative?
Sept. 5	Study of derivatives §§2.6, 2.7, 3.1, 3.2
Sept. 7	§3.3: Chain rule and implicit differentiation §3.3: Derivatives of logs §3.4: Derivatives of trigonometric functions
Sept. 12	§3.5: Linear approximation §3.6: Higher derivatives and associated approximations §3.7: l'Hôpital's rule
Sept. 14	§4.1: Curve sketching §4.2: Max/min problems
Sept. 19	Infinite series (§7 of "Differential_calculus.pdf")
Sept. 21	Catch up and review
Sept. 26	First Midterm Exam
Sept. 28	More on infinite series Antiderivatives and area
Oct. 3	The definite integral Fundamental theorem of calculus
Oct. 5	More about integrals and areas Riemann sums
Oct. 10	Substitution and change of variables Integration by parts
Oct. 12	More integration by parts Numerical integration
Oct. 17	Applications of integration
Oct. 19	Differential eqations and dynamics
Oct. 24	Area under the Gaussian curve Pre-exam questions
Oct. 26	Last Midterm Exam
Oct. 31	Probability spaces and random variables (Ch. 7 of Schreiber and the Prob-Stat notes)
Nov. 2	Histograms, PDFs, CDFs (Schreiber, §7.1)
Nov. 7	Expected values Normal Distribution (Schreiber, §§7.2-7.3)
Nov. 9	Variance, independence
Nov. 14	Law of Large Numbers Central Limit Theorem
Nov. 16	Data and statistics Maximum likelihood
Nov. 21	Hypothesis testing p-values
Nov. 28	The Z-test
Nov. 30	The T-test Class photo
Dec. 5	RRR week
Dec. 7	RRR week

"Instead of making concepts easy to understand, he would just confuse everyone."

Homework

1. Homework due Thursday, August 31:
   • §1.1: 7–9, 14, 16, 21, 23, 28, 38, 39
   • §1.2: 20, 21, 38, 39, 40
   • §1.3: 1, 25, 38
   • §1.4: 1–4, 35
2. Homework due Thursday, September 7:
   • §1.5: 37, 38
   • §1.6: 15, 16, 20, 23, 24
   • §1.7: 11, 18, 20
   • §2.1: 2, 4, 8, 10, 14, 43
   • §2.2: 6, 14
3. Homework due Thursday, September 14:
   • §2.2: 25, 26
   • §2.3: 2, 4, 5, 19, 20, 21, 23, 24
   • §2.4: 5, 6, 7, 15, 16
   • §2.5: 6, 7, 35
   • §2.6: 1, 10, 11, 29
   • §2.7: 12, 17, 18, 23--28 (say which function has which derivative)
   • §3.1: 3ab, 4ab
4. Homework due Thursday, September 21:
   • §3.2: 13, 14, 17, 20
   • §3.3: 8, 12, 21, 24
   • §3.4: 7, 8, 20, 28
   • §3.5: 5, 7, 8, 17, 18, 20
   • §3.6: 4, 6, 16, 27, 30, 36
   • §3.7: 3, 6, 8, 10, 12, 14, 17, 24
5. Homework due Tuesday, October 3
6. Homework due Tuesday, October 10:
   • §5.2: 2, 4, 20, 22, 30
   • §5.3: 2, 4, 6, 10, 25
   • §5.4: 4, 8, 14, 20, 23, 24, 26
   • §5.5: 2, 8, 12, 14, 26
7. Homework due Tuesday, October 17:
   • §5.5: 18, 29
   • §5.6: 2, 4, 8, 12, 18, 20, 23, 26
   • §5.7: 2, 5, 13, 14, 31, 32
8. Homework due Tuesday, October 24:
   • §5.8: 1, 2, 6, 13, 14, 20
   • §6.1: 2, 5, 8, 16
   • §6.2: 2, 4, 10, 18, 20, 22, 41
9. Homework due Thursday, November 2:
   • §7.1: 2, 6, 12, 16, 17, 18, 19
   • §7.2: 2, 3, 8, 11, 12, 15, 16, 19, 20
   • §7.3: 9, 10, 11, 12, 13
10. Homework due Thursday, November 9:
    • §7.3: 17, 18, 22, 24, 25
    • §7.4: 2, 4, 8, 16, 32, 29
11. Homework due Thursday, November 16
12. Homework due Tuesday, November 28
13. Homework due Tuesday, December 5 (RRR week): There are six HW problems embedded in the slides for the last class.

Random Links

• Math 10A exam archive
• Our class's piazza page

Grading

The last day to add or drop this course is the day after the first midterm. The last day to change your grading option is the day after the second midterm. Incomplete grades will be assigned only to students for whom a documented medical, personal or family emergency precludes completion of the course. Students receiving such grades are required to have been doing work of passing quality up to the intervention of the emergency.

When I taught Math 10A in Fall, 2016: final grades were distributed as follows: 30% A, 39% B, 22% C, 3% D/F, 2% P, 4% NP.

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