### Math 10B Fall 2022

#### Homework and Exam Dates

All homework assignments are turned in on Gradescope. The problems for each assignment are listed here.

Week Monday Tuesday Wednesday Thursday Friday
0
Sep 19 Sep 20 Sep 21 Sep 22
No discussion
section
Sep 23
First class
1
Sep 26 Sep 27 Sep 28 Sep 29
First discussion
section
Sep 30
HW1 due 2pm PDT
2
Oct 3 Oct 4 Oct 5 Oct 6 Oct 7
HW2 due 2pm PDT
3
Oct 10 Oct 11 Oct 12 Oct 13 Oct 14
HW3 due 2pm PDT
Quiz 1 (in class)
4
Oct 17 Oct 18 Oct 19 Oct 20 Oct 21
HW4 due 2pm PDT
5
Oct 24 Oct 25 Oct 26 Oct 27 Oct 28
HW5 due 2pm PDT
Quiz 2 (in class)
6
Oct 31 Nov 1 Nov 2 Nov 3 Nov 4
HW6 due 2pm PDT
7
Nov 7
Notice the change from
daylight savings time
Nov 8 Nov 9 Nov 10 Nov 11
HW7 due 2pm PST
No class (Veterans Day)
8
Nov 14 Nov 15 Nov 16 Nov 17 Nov 18
HW8 due 2pm PST
Quiz 3 (in class)
9
Nov 21 Nov 22 Nov 23 Nov 24 Nov 25
HW9 cancelled
No class (Black Friday)
10
Nov 28 Nov 29 Nov 30 Dec 1 Dec 2
HW10 due 2pm PST
Finals
Dec 5 Dec 6 Dec 7 Dec 8 Dec 9
Final Exam
3-6pm PST
Location TBD

#### Lecture schedule

Here is a tentative schedule of what will be covered in each lecture, together with the relevant section(s) of the textbook (Calculus Volume 1 and Calculus Volume 2 from OpenStax). Only the first two lectures will use Volume 1; everything else is from Volume 2. This is a rough schedule, and there will likely be some give and take between lectures.

Week Date Topic Book Sections
0 9/23 Antiderivatives (warm-up) 4.10 (Vol. 1)
1 9/26 Antiderivatives (warm-up) 4.10 (Vol. 1)
9/28 Approximating Areas (warm-up, warm-up 2) 1.1
9/30 The Definite Integral (warm-up) 1.2
2 10/3 The Fundamental Theorem of Calculus (slide 1, slide 2, slide 3)
(Skipping MVT for integrals and average value of functions for now)
1.3
10/5 The Fundamental Theorem of Calculus
(Skipping MVT for integrals and average value of functions for now)
(How to get FTCII from FTCI)
1.3
10/7 Integration Formulas and the Net Change Theorem (warm-up) 1.4
3 10/10 Substitution (including exp and log functions) 1.5, 1.6
10/12 Substitution (including exp and log functions) (warm-up) 1.5, 1.6
10/14 Quiz 1
4 10/17 Integrals Resulting in Inverse Trigonometric Functions
+ average value (§1.2) and MVT for integrals (§1.3) (warm-up)
another inverse trig example, more examples
1.7
(avg value)
10/19 Areas Between Curves (warm-up) 2.1
10/21 Determining Volumes by Slicing (warm-up)
notes, demo,  x-axis and y-axis examples,  washer method examples
2.2
5 10/24 Exponential Growth and Decay (warm-up, warm-up 2) 2.8
10/26 Exponential Growth and Decay (warm-up) 2.8
10/28 Quiz 2
6 10/31 Integration by parts 3.1
11/2 Integration by parts 3.1
11/4 Partial Fractions (warm-up)
3.4
7 11/7 Improper Integrals (warm-up) 3.7
11/9 Improper Integrals (warm-up), (slide 1), (slide 2), (slide 3) 3.7
11/11 No class (Veterans Day)
8 11/14 Basics of Differential Equations (warm-up)
applications,   famous differential equations
4.1
11/16 Separable Equations 4.3
11/18 Quiz 3
9 11/21 Direction Fields (warm-up, slide 1) 4.2
11/23 Finish Direction Fields, start Sequences
(recap, slide 1, slide 2, slide 3, §5.1 warm-up)
4.2, 5.1
11/25 No class (Black Friday)
10 11/28 Finish Sequences, start Series (warm-up) 5.1, 5.2
11/30 Geometric Series (Can you afford a house?)
5.2
12/2 Review
Finals 12/9 Final Exam (Friday of finals week, 3-6pm)