MATH-370 ADVANCED CALCULUS
Monday, Wednesday, Friday 10:00AM - 10:50AM, Old Main, Room ADV LAB
The mathematics major learning outcomes for this course are listed below.
The method of assessment is exams, including the final exam and homework
- Read mathematics;
- Write mathematics correctly;
- Prove mathematical statements.
To investigate the fundamental concepts of analysis for real functions of a single variable, including
- Properties of Real Numbers - Prove properties about the reals and completeness of the reals.
- Sequences and Series - Prove convergence and divergence of a sequence.
- Continuity and Limits - Prove convergence and divergence of limits using the ϵ-δ definition.
- Differentiation - Identify and prove basic theorems about derivatives and their properties.
- Integration - Define the Riemann Integral and use the definition
to compute integral values in elementary cases.
The chapters and sections I hope to cover are given below. The estimated time
for each is also given. This is not an absolute schedule. Covering fewer topics,
but with a better understanding of the real analysis is an acceptable goal.
|Chapters and Sections
|1.8, 1.9, 2.4
|Chapter 3, 4 sections
|Chapter 4, 4 sections
|Chapter 5, 4 sections
The main technique used will be lectures. At the beginning of each class I will
ask if there are questions from the previous lecture. I encourage you to ask
questions as they arise during the class. If you are unable to have your
questions answered in class, then see me outside of class. You are welcome to
drop in anytime I am in the office or Old Main computer labs.
Homework will be assigned daily and due at the beginning of the second class day
after it was assigned. No homework will be accepted
at times other than the due time except with a prior valid excuse or under
extremely extenuating circumstances. All homework must be done
on 8.5 by 11 inches paper only with straight edges. Do not turn in homework torn
from a spiral notebook without trimming the ragged edges! Problems must be
numbered. try to be organized and neat as possible. You may not use red ink or
red pencil. Any homework turned in that does not comply with these conditions
will be ignored.
The homework will be scaled at the end of the term so that perfect homework
total is worth 100 points. There will be three class exams (tentative dates
are; Feb 17, March 24 and May 1) and a comprehensive final exam
May 10, 10:30-12:30. Each exam is worth 100 points and the final is
worth 120 points. Your final grade will be assigned by taking your total
accumulated points, dividing by total number of possible points (520)and
multiplying by 100%, wherever this resultant fits in the table that is your
final letter grade.
Each class exam (not the final) will consist of an “in class” and a “take home”
part. For the “take home” you can get help from your book, notes, and texts in
the library or the internet. No discussing or getting help from you fellow
students or faculty. No asking the question on the internet. This is an honor
system method, any evidence of not following the rules means a zero on the “take
Any student who is caught cheating during an exam, as a first offense, will
receive 0 points on that exam. Students with a second offense of cheating will
receive the grade of "F" in the course.
Although I will not formally check attendance, I do expect you to attend
class. Since I do not ordinarily give make-up exams, only the most serious
reason constitutes an excuse for missing an exam.
The schedule is tentative and can be modified at any time if needed. While every effort will
be made to adhere to the syllabus, I reserve the right to amend the syllabus when deemed necessary.
The student is responsible for noting of any changes, which will be announced during class periods. There is no extra credit
for this course on an individual basis. If I decide to use the extra credit option it will be available for the entire class.
- Attend class prepared, ready to hand in homework and ready to work.
- If you miss a class you are responsible for the material covered. I will
not re-teach the material during office hours or another class.
- You may use a calculator, unless I explicitly say you can not.
- If appropriate, a laptop, mobile device or computer may be used for note taking or for use of an e-book,
however I may ask you to move to a less disruptive location. Other uses of such devices is prohibited.
The following class room behaviors are not acceptable at the University, and will not be tolerated.
- Attending class late or leaving class and returning. If you leave do not return!
- Cell phone usage / texting / usage of a recreational electronic device / internet usage.Turn them off!
- Reading outside material (Merciad, magazines, etc.)
- Sleeping or disruptive behavior
- General disrespect to students or faculty