Math 4153/5053 - Advanced Calculus II

Lecture: MWF 12:30–1:20pm, MSCS 428



Jiří Lebl
Office: MSCS 505
Office hours:
M 1:30–2:20pm, my office,
W 1:30–2:20pm, MLSC main room (5th floor of library),
F 2:30–3:20pm, my office,
and by appointment at other times.
Office phone: (405) 744-7750
Email: lebl at okstate dot edu



We will be using my book, Basic Analysis: Introduction to Real Analysis, mostly volume II.

Look at the book's homepage where you can download it as PDF or browse a web version (for free).

Or you can get a printed (paperback) copy of volume II on amazon (or you can also get volume I).



The grading scheme is given below:

\begin{multline} \text{Grade} = 0.2 \times \text{(Written homework)} + 0.1 \times \text{(Online homework)} \\ + 0.15 \times \text{(Exam 1)} + 0.15 \times \text{(Exam 2)} + 0.4 \times \text{(Final Exam)} \end{multline}

To account for bad exam day, etc., an alternative grade will be computed as follows

\begin{multline} \text{Grade} = 0.2 \times \text{(Written homework)} + 0.1 \times \text{(Online homework)} \\ + 0.075 \times \text{(Exam 1)} + 0.075 \times \text{(Exam 2)} + 0.53 \times \text{(Final Exam)} \end{multline}

A second alternative (to account for bad final day) will be follows

\begin{multline} \text{Grade} = 0.2 \times \text{(Written homework)} + 0.1 \times \text{(Online homework)} \\ + 0.25 \times \text{(Exam 1)} + 0.25 \times \text{(Exam 2)} + 0.18 \times \text{(Final Exam)} \end{multline}

The higher of the three will be used for your grade. Notice that in the alternative schemes, the score does not sum to 100 percent. That is on purpose! You should count on the first scheme, the second scheme is only to account for things going terribly terribly wrong on one of your exams. The grading scheme is the standard 90-80-70-60, although depending on how scores turn out the grade split points could be lowered in lieu of a curve.


Syllabus/The Plan:

We will cover sections 6.1, 6.2, and 7.6 in volume I first. We will then cover sections 8.1–8.5, 9.1, some of chapter 10 and some of chapter 11 in volume II. The exact set of sections covered in chapter 10 and 11 will depend on time.



Exam 1: Friday, Feb 24, 3:30pm–5:20pm, MSCS 114

Exam 2: Friday, Apr 7, 3:30pm–5:20pm, MSCS 114

Final Exam: Wednesday, May 10, 10:00–11:50am (same room as the class, MSCS 428), Comprehensive, think of the final exam as half exam 3 and half comprehensive final.

Exam Policies: No books, calculators or computers allowed on the exams or the final. One page (one sided) of notes allowed on the exams.


Written Homework:

To be submitted on gradescope.

Assigned weekly (some weeks may be skipped).

Homework page (hw.html)

Written homework will be spot checked (spot checked means: some spot(s) of each homework checked, and all will be collected). Part of the grade will be simply for turning the homework in. Lowest 2 regular homework grades dropped (so no late homeworks).



We will be using Gradescope ( for all exams and homework. I'll add you to the class during first week, and you'll get an email on how to log in. This is where you will be able to view your graded exams and submit homework.



Homework will be also done using WeBWorK. See:
You will have been sent instruction on how to log in by email during the first week.


Missed Work:

No makeup or late homework (two lowest are dropped anyhow), but feel free to turn homework in early if you you cannot for whatever reason turn it in on time. For exams, there will be reasonable accommodation if you have a valid and documented reason, and the documentation is provided in advance unless absolutely impossible. If you have a university approved (see the syllabus attachment below) final conflict exam, you must tell me at least two weeks before the final exam week, so so that we can figure out what to do.


Masks/COVID etc.:

OSU encourages you to wear a mask indoors in public settings regardless of whether you are fully vaccinated, consistent with the current CDC recommendations. This is especially important in classrooms and laboratories because people are together for long periods of time. Wearing a mask during class not only protects you but also helps protect those around you who may be more vulnerable. This is a simple way we can look out for all members of the Cowboy family. If you feel sick, do not attend class. Contact University Health Services at 405-744-7665 immediately and communicate with me as soon as possible about any work you miss.

Also due to this, we will have a fixed seating assignment. Try to sit in the same spot as the seating arrangement we made in the first class.


Syllabus Attachment:

See the official syllabus attachment, for some more information, like deadlines and some university-wide policies.


Interesting Links:

If you want to type math, I recommend learning LaTeX. Best way to do that is to use Overleaf online.

A useful computational/symbolic software to learn as a mathematician is SageMath (, one way to get started with it is to use CoCalc ( where you can use it without installing it on your machine.

Wolfram Alpha ( It's like Google for math.

Speaking of Google: try typing something like x^2-y^2.

Although no, Google will not likely solve your homework problems for you. Even if it did, it would not be a good idea. The reason for doing the homework is to learn how to do it. If you simply try to find solutions online, and do manage to find them, you will not learn anything and you will see the result of this on the exams. Also it is considered cheating (and plagiarism) to find solutions online and claim them as yours. Don't do it!

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