Math 1271, Lecture 40

Spring 2015

Calculus 1

Instructor

Instructor: Jed Yang,
Lectures: MWF 13:25–14:15 in Fraser Hall 102
Course website: http://math.umn.edu/~jedyang/1271.15s/
Office hours: MW 14:20–15:50 or by appointment in Vincent Hall 203B

Office hours

You are free to attend any office hour that fit your schedule regardless of your enrolled section.

Instructor Office hour Location Email
Jed Yang Mon, Wed 14:20–15:50 VinH 203B jedyang
Gabriela Jaramillo Mon, Wed 17:00–18:00 VinH 557 jara0025
Haoran Chen Tue, Thr 14:20–15:20 VinH 120 chen1268
Gabriel Song Tue, Thr 15:30–16:30 VinH 320 songx762
Pak Yeung Chan Tue, Thr 16:30–18:30 VinH 360 chanx305

Instructor	Office hour	Location	Email
Jed Yang	Mon, Wed 14:20–15:50	VinH 203B	jedyang
Gabriela Jaramillo	Mon, Wed 17:00–18:00	VinH 557	jara0025
Haoran Chen	Tue, Thr 14:20–15:20	VinH 120	chen1268
Gabriel Song	Tue, Thr 15:30–16:30	VinH 320	songx762
Pak Yeung Chan	Tue, Thr 16:30–18:30	VinH 360	chanx305

Documents

Syllabus

Policies

Calendar

To be updated throughout the term; tentative and subject to change.

Date Agenda Homework
January
21 W 2.1 Tangents 1, 3, 6, 8.
23 F 2.2 Limits 5, 6, 11, 15, 17, 21, 29, 31, 33.
26 M 2.3 Limit laws 2 (a)-(d), 5, 11, 13, 15, 19, 23, 31, 50.
28 W 2.3 Squeeze Theorem 2, 7, 25, 29, 37, 39, 41, 43, 45.
2.4 ε–δ definition 1, 3, 11, 23.
30 F 2.5 Continuity 5, 7, 19, 20, 39, 41, 45, 63.
February
02 M 2.5 Intermediate Value Theorem 48, 49, 53, 60.
2.6 Limits at infinity 5, 15, 17, 20, 23, 24, 25, 37, 41, 43.
04 W 2.6 Infinite limits at infinity 7, 9, 33, 59, 60.
2.7 Derivatives 5, 7, 11, 13, 16, 17, 18, 19, 20, 27, 29, 31, 33, 35, 37, 47.
06 F 2.8 Derivative as a function 3, 7, 13, 21, 23, 25, 27, 31, 37, 39, 43, 44, 47.
09 M 3.1 Polynomials and exponentials 4, 9, 15, 20, 26, 32, 35, 51, 53, 55, 62, 63, 64, 71, 78.
11 W 3.2 Product and quotient rules 3, 5, 7, 12, 15, 23, 25, 32, 43, 44, 50, 54.
13 F 3.4 Chain Rule [comics] 7, 11, 17, 20, 24, 28, 34, 63, 65, 70, 73, 78.
16 M 3.3 Trigonometric functions 1, 7, 12, 13, 15, 18, 22, 33, 39 , 40, 41, 42, 50, 51.
3.4 Chain rule with trig. functions 12, 13, 40, 59, 75.
18 W Midterm 1 review
19 R Midterm 1 (in discussion section); covers 2.1–3.4 except 2.4 and 3.3.
20 F 3.5 Implicit differentiation 5, 7, 9, 15, 19, 25, 29, 31, 35, 43, 45, 47, 49, 51, 63, 65, 67, 77.
23 M 3.6 Logarithmic functions 3, 5, 7, 9, 11, 13, 15, 37, 39, 41, 45, 47, 51.
25 W 3.9 Related rates 4, 5, 6, 7, 10, 11, 13, 15, 17, 19, 21, 23, 41, 43.
27 F 3.10 Linear approximations 2, 3, 11, 13, 14, 16, 17, 21, 23, 25.
3.6 e as a limit 56.
March
02 M 4.1 Max and min 5, 9, 11, 27, 29, 31, 35, 37, 41, 47, 48, 53, 55, 60.
04 W 4.2 Rolle's Theorem 2, 5, 6, 17, 18.
06 F 4.2 Mean Value Theorem 10, 11, 24, 32.
09 M 4.3 Shapes of graphs 5, 6, 7, 8, 9, 11, 13, 19, 20, 33, 39, 45, 47.
11 W 4.4 L'Hôpital's Rule 7, 11, 13, 14, 15, 17, 19, 23, 25, 31, 33, 35, 41, 43; 49, 51, 55, 57.
13 F 4.5 Curve sketching 1, 5, 9, 17, 21, 23, 27, 33, 36, 41, 43, 45.
March 16–20 Spring break
23 M 4.7 Optimization 3, 4, 5, 9, 13, 14, 19, 21, 23, 24, 29, 32, 35.
25 W 4.8 Newton's Method 7, 11, 15, 19.
27 F 4.9 Antiderivatives 3, 5, 11, 13, 15, 17, 25, 28, 31, 33, 35, 38, 45.
30 M 5.1 Area under curves 3, 4, 5.
April
01 W Midterm 2 review
02 R Midterm 2 (in discussion section); covers 2.1–4.8 except 2.4 (and skipped sections).
03 F 5.1 Lower and upper sums 8, 13, 15, 17.
5.2 Definite integral 3, 5, 6, 7.
06 M 5.2 Evaluating definite integrals 17, 19, 21, 23, 25, 33, 34, 35, 37, 39.
08 W 5.2 Properties of the integral 45, 47, 49, 53.
5.3 FTC Part 2 19, 23, 25, 27, 29, 31, 37, 41.
10 F 5.3 FTC Part 1 2, 3, 7, 9, 11, 13, 55, 60, 69, 70.
13 M 5.4 Indefinite integral 1, 3, 5, 9, 11, 17, 25, 27, 29, 35, 37, 49, 51, 53, 59, 61, 63, 66a.
15 W 5.5 Substitution Rule 3, 6, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 45.
17 F 5.5 Definite integral substitution 53, 55, 57, 63, 67, 85, 88.
20 M 6.1 Area 5, 7, 11, 13, 15, 18, 19, 22, 23, 26, 29.
22 W 6.2 Volume 1, 3, 5, 6, 55, 58.
24 F 6.2 Volume by washers 7, 11, 12, 14, 15, 17, 48, 49, 51.
27 M 6.3 Volume by shells 3, 4, 7, 9, 11, 12, 13, 15, 17, 19, 37, 39, 41, 43, 45, 47.
29 W Midterm 3 review
30 R Midterm 3 (in discussion section); covers 2.1–6.1 except 2.4 (and skipped sections).
May
01 F 6.5 Average 1, 3, 5, 7, 10, 13, 14.
04 M Review: selected problems from Spring 2007 final exam.
06 W Review: volumes; continue with Spring 2007 final exam.
08 F Review: Spring 2009 final exam.
11 M Final exam

Date	Agenda	Homework
January
21 W	2.1 Tangents	1, 3, 6, 8.
23 F	2.2 Limits	5, 6, 11, 15, 17, 21, 29, 31, 33.
26 M	2.3 Limit laws	2 (a)-(d), 5, 11, 13, 15, 19, 23, 31, 50.
28 W	2.3 Squeeze Theorem	2, 7, 25, 29, 37, 39, 41, 43, 45.
2.4 ε–δ definition	1, 3, 11, 23.
30 F	2.5 Continuity	5, 7, 19, 20, 39, 41, 45, 63.
February
02 M	2.5 Intermediate Value Theorem	48, 49, 53, 60.
2.6 Limits at infinity	5, 15, 17, 20, 23, 24, 25, 37, 41, 43.
04 W	2.6 Infinite limits at infinity	7, 9, 33, 59, 60.
2.7 Derivatives	5, 7, 11, 13, 16, 17, 18, 19, 20, 27, 29, 31, 33, 35, 37, 47.
06 F	2.8 Derivative as a function	3, 7, 13, 21, 23, 25, 27, 31, 37, 39, 43, 44, 47.
09 M	3.1 Polynomials and exponentials	4, 9, 15, 20, 26, 32, 35, 51, 53, 55, 62, 63, 64, 71, 78.
11 W	3.2 Product and quotient rules	3, 5, 7, 12, 15, 23, 25, 32, 43, 44, 50, 54.
13 F	3.4 Chain Rule [comics]	7, 11, 17, 20, 24, 28, 34, 63, 65, 70, 73, 78.
16 M	3.3 Trigonometric functions	1, 7, 12, 13, 15, 18, 22, 33, 39 , 40, 41, 42, 50, 51.
3.4 Chain rule with trig. functions	12, 13, 40, 59, 75.
18 W	Midterm 1 review
19 R	Midterm 1 (in discussion section); covers 2.1–3.4 except 2.4 and 3.3.
20 F	3.5 Implicit differentiation	5, 7, 9, 15, 19, 25, 29, 31, 35, 43, 45, 47, 49, 51, 63, 65, 67, 77.
23 M	3.6 Logarithmic functions	3, 5, 7, 9, 11, 13, 15, 37, 39, 41, 45, 47, 51.
25 W	3.9 Related rates	4, 5, 6, 7, 10, 11, 13, 15, 17, 19, 21, 23, 41, 43.
27 F	3.10 Linear approximations	2, 3, 11, 13, 14, 16, 17, 21, 23, 25.
3.6 e as a limit	56.
March
02 M	4.1 Max and min	5, 9, 11, 27, 29, 31, 35, 37, 41, 47, 48, 53, 55, 60.
04 W	4.2 Rolle's Theorem	2, 5, 6, 17, 18.
06 F	4.2 Mean Value Theorem	10, 11, 24, 32.
09 M	4.3 Shapes of graphs	5, 6, 7, 8, 9, 11, 13, 19, 20, 33, 39, 45, 47.
11 W	4.4 L'Hôpital's Rule	7, 11, 13, 14, 15, 17, 19, 23, 25, 31, 33, 35, 41, 43; 49, 51, 55, 57.
13 F	4.5 Curve sketching	1, 5, 9, 17, 21, 23, 27, 33, 36, 41, 43, 45.
March 16–20 Spring break
23 M	4.7 Optimization	3, 4, 5, 9, 13, 14, 19, 21, 23, 24, 29, 32, 35.
25 W	4.8 Newton's Method	7, 11, 15, 19.
27 F	4.9 Antiderivatives	3, 5, 11, 13, 15, 17, 25, 28, 31, 33, 35, 38, 45.
30 M	5.1 Area under curves	3, 4, 5.
April
01 W	Midterm 2 review
02 R	Midterm 2 (in discussion section); covers 2.1–4.8 except 2.4 (and skipped sections).
03 F	5.1 Lower and upper sums	8, 13, 15, 17.
5.2 Definite integral	3, 5, 6, 7.
06 M	5.2 Evaluating definite integrals	17, 19, 21, 23, 25, 33, 34, 35, 37, 39.
08 W	5.2 Properties of the integral	45, 47, 49, 53.
5.3 FTC Part 2	19, 23, 25, 27, 29, 31, 37, 41.
10 F	5.3 FTC Part 1	2, 3, 7, 9, 11, 13, 55, 60, 69, 70.
13 M	5.4 Indefinite integral	1, 3, 5, 9, 11, 17, 25, 27, 29, 35, 37, 49, 51, 53, 59, 61, 63, 66a.
15 W	5.5 Substitution Rule	3, 6, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 45.
17 F	5.5 Definite integral substitution	53, 55, 57, 63, 67, 85, 88.
20 M	6.1 Area	5, 7, 11, 13, 15, 18, 19, 22, 23, 26, 29.
22 W	6.2 Volume	1, 3, 5, 6, 55, 58.
24 F	6.2 Volume by washers	7, 11, 12, 14, 15, 17, 48, 49, 51.
27 M	6.3 Volume by shells	3, 4, 7, 9, 11, 12, 13, 15, 17, 19, 37, 39, 41, 43, 45, 47.
29 W	Midterm 3 review
30 R	Midterm 3 (in discussion section); covers 2.1–6.1 except 2.4 (and skipped sections).
May
01 F	6.5 Average	1, 3, 5, 7, 10, 13, 14.
04 M	Review: selected problems from Spring 2007 final exam.
06 W	Review: volumes; continue with Spring 2007 final exam.
08 F	Review: Spring 2009 final exam.
11 M	Final exam

Announcements

Feb 23: Midterm 1 solutions posted; please check Moodle to confirm grades are recorded correctly.
Apr 07: Midterm 2 solutions, grade estimates, and histograms posted; please check Moodle to confirm grades are recorded correctly.
Apr 24: Final exam details posted.
May 04: Midterm 3 solutions, grade estimates, and histograms posted; please check Moodle to confirm grades are recorded correctly.

Last Modified 2015.05.06.
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