Instructor: Prof. Michael S. Pilant
Sections: 640, 700, 720
Instructor Web Page : http://www.math.tamu.edu/~Michael.Pilant/
E-mail: mpilant@math.tamu.edu
Phone: 845-3261
Office: Blocker 641-E
Lecture Times: Online
Office Hours: Centra (TBA). Email me if you have any course-related questions.

Course Title: Mathematical Problems II

Course Description: A survey of problems in various branches of mathematics such as algebra, geometry, differential equations, real analysis, complex analysis, calculus of variations. Prerequisite Math 645, or approval of instructor.

Minimum Learning Outcomes: This course is intended to provide students with problem-solving skils, as well as an historical understanding of the role that formulating mathematical problems has had in the development of Mathematics.

At the end of this course, students should be able to:

1. Describe the role of Babylonian, Egyptian and Greek mathematics in the development of modern mathematics.
2. Rigorously prove limits (ε-δ method)
3. Solve planar geometry problems.
4. Solve basic optimization problems in two or more dimensions.
5. Understand the difference between unsolved and unsolvable problems, and provide examples of each.

Text:

• 646 course notes by H. Boas & S. Geller, Chapter 8-13.
• Additional instructor notes (on Web)

Homework: Homework will be assigned from the manuscript (Geller and Boas), Chapters 8-13. Additional homework will be assigned during the course.

Exams: There will be a final project assigned later in the semester.

Grading Policy:

• Hoomework will count for 60% of the total grade.
• The midterm and final project will count for 20% each.

MAKE-UP POLICY: Make-ups for missed quizzes and exams will only be allowed for a university approved excuse in writing. Wherever possible, students should inform the instructor before an exam or quiz is missed. Consistent with University Student Rules , students are required to notify an instructor by the end of the next working day after missing an exam or quiz. Otherwise, they forfeit their rights to a make-up.

SCHOLASTIC DISHONESTY: Copying work done by others, either in-class or out of class, is an act of scholastic dishonesty and will be prosecuted to the full extent allowed by University policy. Collaboration on assignments, either in-class or out-of-class, is forbidden unless permission to do so is granted by your instructor. For more information on university policies regarding scholastic dishonesty, see University Student Rules .

COPYRIGHT POLICY: All printed materials disseminated in class or on the web are protected by Copyright laws. One xerox copy (or download from the web) is allowed for personal use. Multiple copies or sale of any of these materials is strictly prohibited.