Lectures are where I will introduce and explore the material. Throughout the semester, I'll do my best to make you part of the process, giving you the chance to try problems yourself and ask questions. If there's something you feel unsure of, don't feel nervous about putting your hand up. If you are thinking it, then so are lots of other people in the room. I'm here to guide you towards proper understanding, not deliver dry uninterupted monologues. The more like a back and forth conversation, the better!

LEC 001: 11am-12.30pm TT, Haas Faculty Wing F295

LEC 002: 3.30pm-5pm TT, Haas Faculty Wing F295

Both lectures will be identical and you are welcome to attend either, although it would be best to attend your offical lecture group for the first few weeks.

Attendance is not mandatory (although, I'd strongly advise that you go). In-person lectures will recorded and be posted below.

Here are the in-person lecture notes and handouts.

Every Tuesday (LEC 001) or Thursday (LEC 002) you will have a one and a half hour discussion session led by a GSI (graduate student instructor). It's in these sessions that you'll really explore the material as a group (around 25 students in each section). In discussion section you'll work together to solve challenging problems. This is where you'll really learn how to master the material. Here's some advice about how to get the most out of discussion section:

• Learning Mathemtatics can be really challenging. As with almost anything in life, making it a social experience will make the process much more rewarding and productive. View discussion section as a way to both learn the material and potentially find people to work with outside of class.
• Don't be nervous about asking questions (or answering them) in group discussions. Even if you're not correct, lots of other people will definitely be thinking the same thing and it'll be a learning experience for the group. There are often many ways to approach a problem and hearing other peoples' perspectives can dramatically deepen your understanding.
• Your GSI will frequently split the main group into smaller groups where you'll work on problems more collaboratively. Be an active participant in these. Even if you're not completely confident in your approach, still share it.

For a discussion section schedule go to the folllowing links: LEC 001 and LEC 002. Attendance at discussion section is not mandatory (although I'd strongly advise you to go).

You can only attend the section you are officially enrolled in. If you have enrollment questions contact: enrollment@math.berkeley.edu

Here is contact information for all GSIs.

You'll be following fixed worksheets in your discussions. After you've had section, they'll be posted here along with solutions.

In addition to lectures and discussion section, you will have access to daily office hours. Office hours are you're chance to talk to me or a GSI. They are a really good way to get to know your instructors better and get help with any aspect of the course. These are also a space for you to work in small study groups at your own pace if you'd like.

In office hours you can talk about any aspect of the course (and beyond). If you've spent time on a homework problem and have stalled, come to office hours; If you're unsure about your academic trajectory, come to office hours; If you want to learn what mathematics research is about, come to office hours; If you're struggling with the course and don't know what to do, come to office hours; If you think you might need a reference from a professor in the future, come to office hours; If you just want a chat, come to office hours.

I'll be having office hours every 12pm-1pm Monday,1pm-2pm Wednesday,and 2pm-3pm Friday in 796 Evans Hall. As a default GSI office hours are in-person, although some may be conducted online via Zoom.

Here is a link with the full office hour schedule.

Math 16B is a continuation of Math 16A. From the get-go, that means it assumes a good knowledge of that course (or an equivalent, e.g AB Calculus).

Before that though, there are various pre-calculus topics which you'll want to have a solid grasp of. Here's a complete pre-calculus course that you can explore yourself. I'll let you know which specific topics to review as we go through the semester.

If you want a lightning quick overview, here's a pre-calculus cheetsheet.

It's inevitable that you'll have forgotten details over the break (or longer), so to help you review foundational topics, I've recorded a complete collection of videos lessons for the whole of Math 16A. To access them, go to this link. This is obviously a lot of material, but at a minimum you should look at the review videos/notes.

The textbook for this course is: Calculus with Applications by Lial, Greenwell, Ritchey, 11th Edition, ISBN: 9780133886832.

Here is the homework schedule.

Homework assignments are due each Friday at 11.59pm on Gradescope. Here are instructions for how to upload your work. If you have issues submitting your work, contact your GSI. Your lowest two homework scores will be dropped.

Assignments will be graded on completeness. Your two lowest scores will be dropped. You may discuss the homework problems with your classmates, but you must write your solutions on your own. Make use of discussion sections, office hours, study groups, etc. if you need assistance, but in the end, you should still write up your own solutions.

Lectures are where new concepts are introduced, but homework is where most of the real learning happens. It's where you internalize the abstract ideas and discover for yourself how they can be used to solve problems. From my experience the main distinction between those who succeed in this course and those who don't, is how they treat the homework.Here's some advice about how to approach it:

• Be organized. Don't leave things for the last moment. (You'll struggle to complete the homework assignment if you start on the night before it is due.) Work consistently in small installments. Some homework can take 6 hours to complete properly.
• As you progress through the homework you'll notice it increasing in difficulty. The more difficult problems are often the most important, giving you the opportunity to really master the material. If you're struggling with a challenging problem you should spend at least 30 minutes on your own, thinking about it in depth. Even if you fail to make a breakthrough, this is still more worthwhile than giving up after a couple of minutes and talking to a peer or consulting an answer scheme. In future courses you'll be solving problems that require days (or weeks) of dedicated thought. Now is the time to hone this skill.
• If you've spent serious time exploring a problem and are still struggling, then is the time to seek help: Speak to your peers, come to my or a GSIs office hours, go to the SLC and talk to a tutor. The last thing you should do is look at a solution manual. Actively speaking to someone about a problem is much better than passively reading a solution.

Homework Solutions will be made available shortly after submission at this link.

In addition to homework, roughly every two to three weeks you will have a project.

Projects will give you the opportunity to explore certain topics in more depth. Think about them like an extended homework problem. They will be due on Friday, roughly every two weeks on Gradescope. Here are instructions on how to upload your work. If you have issues submitting your work, contact your GSI. Note that unlike the homework, you'll need to submit a pdf of fixed length following the project template. Your lowest score will be dropped from your grade.

The projects will gradually be made available at this link.

What	When
Project 1	2/3
Project 2	3/3
Project 3	3/17
Project 4	4/14
Project 5	4/28

Here a link that will contain practice exams. These will be very similar to the actual exams. Once they are posted, you should study them very carefully

There will be two midterms and a final. There will be no make-up exams, unless there are truly exceptional circumstances.

As outlined in the course policy below, you can miss one midterm, for whatever reason, without penalty. On the other hand, missing both midterms will seriously harm your grade and make it much more difficult to pass the course.

As per university policy, if you do not sit the final exam, you automatically fail the course. Please check the dates now to make sure that you have no unavoidable conflicts!

Here is the schedule:

• Midterm 1: Thursday February 9th, in class (one hour exam)
• Midterm 2: Thursday March 23rd, in class (one hour exam)
• Final Exam: LEC 001 Thursday May 11th, 8am-11am (two hour exam) Location TBD; LEC 002 Friday May 12th, 7pm-10pm (two hour exam) Location TBD.

Calculators and notes will NOT be allowed for the exams.

To obtain full credit for an exam question, you must obtain the correct answer and give a correct and readable derivation or justification of the answer. Unjustified correct answers will be regarded very suspiciously and will receive little or no credit. The graders are looking for demonstration that you understand the material. To maximize credit, cross out incorrect work. We will be scanning all exams so you will get them back electronically.

After each midterm, there will be a brief window when you can request a regrade. If you are unsure about making a regrade request consult myself or your GSI beforehand. Regrade requests may result in a lowering of your grade. As per university policy, final exams cannot be regraded.

DSP students requiring accommodations for exams must submit to the instructor a "letter of accommodation" from the Disabled Students Program. Due to delays in processing, you are encouraged to contact the DSP office before the start of the semester. You will be contacted shortly before exams with specific exam logistics related to your accomodations.

Cheating is unacceptable. Any student caught cheating will be reported to higher authorities for disciplinary action.

Below is the week by week schedule for the course. As the course progress the tabs will become active and you'll be able to access videos by clicking on them.

When	What	Where
Week 1 (1/16 - 1/20)	Review
	Integration by Parts	8.1
Week 2 (1/23 - 1/27)	Volume and Average Value	8.2
	Continuous Money Flow	8.3
Week 3 (1/30 - 2/3)	Improper Integrals	8.4
	Integrals of Trigonometric Functions	13.3
Week 4 (2/6 - 2/10)	Review
	Midterm 1 (In class, Thursday 2/9)
Week 5 (2/13 - 2/17)	Functions of Several Variables	9.1
	Partial Derivatives	9.2
Week 6 (2/20 - 2/24)	Maxima and Minima	9.3
	Lagrange Multipliers	9.4
Week 7 (2/27 - 3/3)	Double Integrals	9.6
	Solutions of Differential Equations	10.1
Week 8 (3/6 - 3/10)	Separable Differential Equations	10.1
	Linear Differential Equations	10.2
Week 9 (3/13 - 3/17)	Euler's Method	10.3
	Applications of Differential Equations	10.4
Week 10 (3/20 - 3/24)	Review
	Midterm 2 (In class, Thursday 3/23)
Week 11 (3/27 - 3/31)	Spring Break!
Week 12 (4/3 - 4/7)	Continuous Probability Models	11.1
	Expected Value and Variance	11.2
Week 13 (4/10 - 4/14)	Special Probability Density Functions	11.3
	Geometric Sequences anmd Annuities	12.1,12.2
Week 14 (4/17 - 4/21)	Taylor Polynomials	12.3
	Infinite Series	12.4
Week 15 (4/24 - 4/28)	Taylor Series	12.5
Week 16 (5/1-5/5)	Review
Week 17 (5/8 - 5/12)	Final Exams

Grades are calculated as follows:

Homework	10%
Projects	10%
First Midterm	20%
Second Midterm	20%
Final Exam	40%

If your final exam score is higher than your lowest midterm exam score, then it will replace it, thus accounting for 60% of your grade. This means you can miss a midterm for any reason whatsoever and it will not necessarily adversely effect your grade.

Your final letter grade will ultimately be decided by your ability to demonstrate a crisp understanding of the material and the ability to apply it to a diverse set of problems. Broadly speaking I will be looking for the following criteria for each letter grade:

• A-/A/A+: A clear demonstration that the central concepts have been fully understood; Computational techniques (and their many subtleties) have been mastered and can be applied accurately to a diverse problem set; A strong understanding of how the abstract concepts can be applied to many real world applications.
• B-/B/B+: Demonstration that the central concepts have been reasonably understood, but perhaps with minor misunderstandings; Core computational techniques have been reaonably understood (but generally not key subtleties) and can be applied fairly accurately to a fairly large problem set; Reasonable understanding of how the abstract concepts can be applied to some real world applications.
• C-/C/C+: Demonstration that the central concepts have been vaguely understood, but with major misunderstandings; Core computational techniques have been poorly understood and can be a applied accurately only in the most standard examples; Weak understanding of how the abstract concepts can be applied to even basic real world applications.

To be as fair as possible, I will also take into account the historic average of the class. This means that if I set an exam which is very difficult it will be taken into account in the final letter grades.

Please note: incomplete grades, according to univlersity policy, can be given only if unanticipated events beyond your control (e.g. a medical emergency) make it impossible for you to complete the course, and if you are otherwise passing (with a C- or above).

Enrollment: For question about enrollment contact Marsha Snow, or email enrollment@math.berkeley.edu.

The Student Learning Center provides support for this class including review sessions for exams, and drop-in tutoring. This is a truly fantastic resource. I definitely recommend you take advantage of it.