Mathematics 10A

Fall, 2016
TuTh 3:40-5:00PM, 2050 VLSB

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)

"I could sleep a full 8 hours, drink coffee, and still feel extremely sleepy in his class."

"He really cares about his students and he's willing to get to know his students! Lectures are pretty well organized. The combination of boardwork and slides is very effective"

"the lectures to me felt like a blockbuster gift card."

GSI Office Hours

Who?	Where?	When?
Jess Banks	FSM Cafe	M, Th 10-11
Daniel Lowengrub	1093 Evans	M 2-3, W 6-7
James McIvor	822 Evans	M 4:30-6:30,W 12:30-1:30
Nima Moini	1019 Evans	M 6-7, W 9-10
Jim Robertson	1085 Evans	TuTh 11-12
Franco E Vargas Pallete	775 Evans	M 1-2,Th 9:30-10:30
Theodore Zhu	816 Evans	M 12-1, Th 1-2

Discussion Sections

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.

Examinations

• First midterm exam, Thursday, September 22, 2016 (median 28.5, maximum 40.0, mean 27.51, standard deviation 6.83, questions, questions and answers)
• Last midterm exam, Thursday, October 27, 2016 (median 27.0, maximum 40.0, mean 25.88, standard deviation 9.95, questions, questions and answers)
• Final examination, Friday, December 16, 2016 (median 47.0, maximum 69.0, mean 45.1, standard deviation 13.69, questions, questions and answers)

Class schedule

Date	Subjects
Aug. 25	Intro to the class Functions
Aug. 30	Sequences Limits of sequences Limits of functions
Sept. 1	More on limits What is a derivative?
Sept. 6	Study of derivatives §§2.6, 2.7, 3.1, 3.2
Sept. 8	§3.3: Chain rule and implicit differentiation §3.3: Derivatives of logs §3.4: Derivatives of trigonometric functions
Sept. 13	§3.5: Linear approximation §3.6: Higher derivatives and associated approximations §3.7: l'Hôpital's rule
Sept. 15	Curve sketching Max/min problems
Sept. 20	Catch up and review
Sept. 22	First Midterm Exam
Sept. 27	Infinite series (§7 of "Differential_calculus.pdf")
Sept. 29	More on infinite series Antiderivatives and area
Oct. 4	The definite integral Fundamental theorem of calculus
Oct. 6	More about integrals and areas Riemann sums
Oct. 11	Substitution and change of variables Integration by parts
Oct. 13	More integration by parts Numerical integration
Oct. 18	Applications of integration
Oct. 20	Differential eqations and dynamics
Oct. 25	Area under the Gaussian curve Pre-exam questions
Oct. 27	Last Midterm Exam
Nov. 1	Probability spaces and random variables (Ch. 7 of Schreiber and the Prob-Stat notes)
Nov. 3	Histograms, PDFs, CDFs (Schreiber, §7.1)
Nov. 8	Expected values Normal Distribution (Schreiber, §§7.2-7.3)
Nov. 10	Variance, independence
Nov. 15	Law of Large Numbers Central Limit Theorem
Nov. 17	Data and statistics Maximum likelihood
Nov. 22	Hypothesis testing p-values
Nov. 29	The Z-test
Dec. 1	The T-test Class photo
Dec. 6	RRR week
Dec. 8	RRR week

Homework

1. Homework due Wednesday, August 31:
   • §1.1: 7–9, 13, 18, 23, 27, 39
   • §1.2: 20, 22, 46
   • §1.3: 1, 25, 38
   • §1.4: 1–4, 35
   • §1.5: 1–10
2. Homework due Wednesday, September 7:
   • §2.1: 1–3, 11, 41, 47
   • §2.2: 5–8, 16–18, 21, 26, 32, 40
3. Homework due Wednesday, September 14:
   • §2.3: 1, 8, 10, 12, 14, 20, 21, 42
   • §2.4: 2, 4, 9, 10, 11, 14, 40
   • §2.6: 19, 35
   • §2.7: 31, 44
   • §3.2: 1, 3, 8, 11, 13, 17
4. Homework due Wednesday, September 21:
   • §3.2: 27, 28
   • §3.3: 1, 7c, 11, 12, 17, 27, 29
   • §3.4: 17, 25
   • §3.5: 5, 17, 27, 33
   • §3.6: 1, 5, 6, 23, 28, 42, 45
   • §3.7: 1, 2, 5, 7, 8, 10
5. Homework due Friday, September 30
6. Homework due Friday, October 7
7. Homework due Friday, October 14:
   • §5.2: 10, 18, 19, 20, 28, 32, 39, 40
   • §5.3: 6, 13–16, 22, 23, 24, 27, 47
   • §5.4: 1, 3, 5a, 6a, 7a, 9a, 10, 13a, 14a, 15a, 17, 19, 21, 24, 26
   • §5.5: 1, 2, 5, 8, 11, 12, 14, 15, 17, 19, 20, 21, 25, 27
8. Homework due Friday, October 21:
   • §5.6, problems 1–8, 11, 14, 16
   • §5.7, problems 14, 19, 20, 21, 23, 26, 29, 34
9. Homework due Friday, October 28:
   • §5.8, problem 21
   • §6.1, problems 1, 5, 6, 10, 14, 33
   • §6.4, problems 11, 12
10. Homework due Friday, November 4:
    • §7.1, problems 1, 5, 10, 14, 18–20
    • §7.2, problems 3, 13, 14, 16, 18, 30
    • §7.3, problems 12–15
11. Homework due Monday, November 14:
    • §7.3, problems 17–21, 25, 29
    • §7.4, problems 1, 2, 7, 9, 10, 15, 16, 19, 20
12. Homework due Monday, November 21
13. Homework due Wednesday, December 7

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. Analogously, 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.

You can deduce the composite grade distribution for this course for 2012 and 2014 from schedulebuilder. I calculated that the grade distribution was 31% A, 37% B, 24% C, 8% D/F, but you might want to check my work.

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