This course is designed to provide a college-level experience in history of mathematics. Students will understand some critical historical mathematics events, such as creation of classical Greek mathematics, and development of calculus; recognize notable mathematicians and the impact of their discoveries, such as Fermat, Descartes, Newton and Leibniz, Euler and Gauss; understand the development of certain mathematical topics, such as Pythagoras theorem, the real number theory and calculus.

Aims of the course: To help students
to understand the history of mathematics;
to attain an orientation in the history and philosophy of mathematics;
to gain an appreciation for our ancestor's effort and great contribution;
to gain an appreciation for the current state of mathematics;
to obtain inspiration for mathematical education,
and to obtain inspiration for further development of mathematics.

On-line course is taught through Blackboard Vista, visit https://accessuh.uh.edu/login.php for information on obtaining ID and password..

The course will be based on my notes. The textbook is used for extra reading, do homework or do project.

In each week, 10 lecture notes will be posted on Monday in Blackboard Learn, including the weekly homework, reading assignment and essay assignment.

In each week, turn all your homework by the next Monday morning through Blackboard Learn.

All homework, essays or exam paper, handwriting or typed,  should be turned into PDF files and be submitted through Blackboard Vista. (In case you are in the campus, you could submit directly to my mailbox in the math department).

There is one final exam in multiple choice.

Grading: 35% homework, 50% projects, 15 % Final exam

Two online lectures every week which you can attend via Blackboard. No classroom attendance is required, classwork can be submitted online. In addition, we will have office meetings to discuss problems and your questions. The class is open to ECE and CS students as well.

If you are an ECE or CS student then you can plan on learning some mathematical techniques and the correct statements of main results. Problems will be diversified into more applied and some more theoretical to suit the needs of a diversified audience.

Description of the course: The integral Fourier transform in one and many dimensions, Inversion of the Fourier transform, Square-integrable functions and the Fourier transform, convolution, and linear shift-invariant filters, convolution and regularity, the Dirac-delta function. X-ray tomography and the Fourier slice theorem. Fourier series, the Fourier series of square-integrable functions, the pointwise convergence of Fourier series, Nyquist sampling, digital filters, theory and basic implementation, Magnetic Resonance Imaging as an application of Fourier transform; Positron Emission Tomography overview.

Grading: This course will have NO exams. There will be four homework bundles which can be customized to be Matlab based with minimal mathematical derivations or proof based. You can build your own homework from a set of problems designed to to fit a diverse audience of mathematicians, physicists, engineers and computer scientists. Coding will exclusively be Matlab based. Each homework gives 20 points.