Course Syllabus
Math 361 - Advanced Calculus II
Spring 2015
Additional Book Suggestions: A Friendly Introduction to Analysis by Witold Kosmala (second edition).
Elementary Real Analysis by Thomson-Bruckner (second edition)
Introduction to Real Analysis by William Trench
The Course: This course will continue the formal study of real analysis. We will begin with a study of the integral on one real variable, discuss different kinds of convergence of sequences of functions and then look at functional analysis concepts like normed vector spaces, and inner product spaces. Throughout the course we focus on proving theorems at a more advanced level, and understanding abstract concepts.
Participation: Each student is expected to be a productive member of the class. This means you should expect to attend each class period and be prepared to discuss the material. Excessive absence or unpreparedness will result in deduction of points in this area. Occasionally students will present homework solutions to the rest of the class and also each student will be responsible for presenting one topic or proof during the course. This presentation will be part of your participation grade. Participation will be worth 40 points of your final grade.
Presentation: Each student will be given a particular problem to solve and present to the class. The student will be expected to understand their solution well enough to be very clear, use proper terminology, and answer questions. This presentation will be worth 40 points of your final grade.
Homework: You will be assigned homework to be turned in most class periods. You are allowed and indeed encouraged to work on your homework with other people, however what you turn in should be your own understanding of how to do the problems and should not just be a copy of someone else's work. Your homework must follow the homework guidelines given in class. The homework for the course will be worth 150 points of your total grade.
Quizzes: Most weeks that do not include an exam will have a short quiz. The quiz will cover the most recent material from the class and should take no longer than 10-15 minutes. Although these quizzes cannot be made up except in extreme circumstances, one quiz will be dropped so missing one quiz will not greatly affect your grade. The quizzes will each be worth 20 points towards your final grade.
Exams:
There will be one period-long midterm which will occur on
Mar. 19.
The material it will cover will be announced on the
website and in class at least a week ahead of time. Make-up exams will
not be given. If you have a legitimate excuse you may use your final
exam score to make up for missing exam scores.
The midterm will be worth 100 points.
There will be a comprehensive 2 hour
final given on Tuesday, May 19 at 11 AM.
The final is worth 150 points.
Learning Outcomes: Upon completion of this class students should be able to:
Disability: For accommodations due to a disability please contact me within the first 2 weeks.
Academic Honesty: Cheating and plagiarism are in violation of USD's academic integrity policy and are taken very seriously. Make sure you are aware of this policy.
Have a Good Semester!