Math 4153/5053 - Advanced Calculus II, Spring 2018

Lecture: MWF 10:30-11:20AM, MSCS 422.


Jiří Lebl
Office: MSCS 505
Office hours: 11:30-12:20pm Mon, Fri, and 4:50-5:20pm Wed, and by appointment at other times.
Office phone: (405) 744-7750
Email: lebl at okstate dot edu


We will start with Volume I of my book, Basic Analysis: Introduction to Real Analysis, finishing what was unfinished from last time (we will omit a couple of things). Then we go on to Volume II of the book.
You can download both volumes as PDF,
or you can get a printed copy on Amazon: Volume I or Volume II.


We will be using Gradescope ( for all graded work (homework exam). Create an account and I will provide an Add code that will add you to the class by email and in class. Homeworks will be announced here (see below), and you will scan/photo your homeworks and upload them to Gradescope. Exams will also be graded on gradescope.


The grading scheme is given below:

$\begin{multline} \text{Grade} = 0.2 \times \text{(Homework)} + 0.2 \times \text{(Exam 1)} \\ + 0.2 \times \text{(Exam 2)} + 0.4 \times \text{(Final Exam)} \end{multline}$

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

$\begin{multline} \text{Grade} = 0.2 \times \text{(Homework)} + 0.1 \times \text{(Exam 1)} \\ + 0.1 \times \text{(Exam 2)} + 0.58 \times \text{(Final Exam)} \end{multline}$

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

$\begin{multline} \text{Grade} = 0.2 \times \text{(Homework)} + 0.3 \times \text{(Exam 1)} \\ + 0.3 \times \text{(Exam 2)} + 0.18 \times \text{(Final Exam)} \end{multline}$

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.


Exam 1: Feb 19th, (evening, 5:30pm, MSCS 514), 20% of your grade.

Exam 2: Apr 2nd, (evening, 5:30pm, MSCS 514), 20% of your grade.

Final Exam: TBA, (same room as the class), 40% of your grade. (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.


Assigned weekly (some weeks may be skipped). To be submitted on gradescope.

Worth 20%, 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 homework grades dropped (so no late homeworks).

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) final conflict exam, you must tell me at least two weeks befre the final exam week, so so that we can figure out what to do.

Syllabus attachment:

See the official syllabus attachment, for some more information.

Interesting links:

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!

It never hurts to learn how to use LaTeX if you want to type up stuff with lots of math. It not only increases legibility of your work, it also increases your nerd factor by an order of magnitude (that's a good thing). The easiest way to use LaTeX is via Overleaf, where you can start using LaTeX through the web without installing anything and have your work synced across different devices. If you want to install LaTeX and use a local front end try TeXworks (Linux, Windows, Mac) or TeXShop (Mac). Or perhaps give LyX (Linux, Windows, Mac) a go, though LyX is not as flexible.

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