Advanced Mathematics University of Tsukuba

Course Overview
In this course, students will have a short review of applied calculus and introduces with the advanced mathematics sections like geometrical meaning of differential equations, solution of ordinary and partial differential equations, numerical analysis and Laplace transformation. These advanced mathematical skills will be invaluable to them to interpret the concepts of modeling of real world problems related to life and environmental sciences.
Learning Achievement
After the successful completion of the course, students will be able to understand the expansion of functions, matrices and analyze differential equations numerically. They would be able to prepare a project using the matheical tools using matrix, differential equations and partial differential solutions of equations for creating model for life sciences.
Competence
Students entering in Advanced Mathematics should have a firm grasp of Calculus, linear algebra and vector calculus. They should be able to graph functions, integration and differentiation of functions, partial derivative of functions, optimization and evaluation of multiple integral.
In this course, students will learn the basics calculas and solution of differential equations. They will study standard functions withgraph, geometrical meaning of differential equations, modeling and solution of ordinary and partial differential equations. More generally, the students will improve their ability to think critically, to analyze a real problem and solve it using a wide array of mathematical tools. These skills will be invaluable to them in whatever path they choose to follow for study in the advance scienes and applications. They will also able to apply these ideas to a wide range of problems that include the life and environmental sciences issues. The students should be able to interpret the concepts of modeling algebraically, graphically, and verbally.
Course prerequisites
Mathematics background
Grading Philosophy
Exam 50% (short answer questions), Quizzes and brief reports 30% and class attendance 20%
Course schedule
Course type
Lectures
Online Course Requirement
Instructor
Tofael Ahamed
Other information
Lecture is conducted in English. As discussed at Week 1.
Site for Inquiry
Please inquire about the courses at the address below.
Contact person: Ahamed Tofael
Email address: tofael.ahamed.gp@u.tsukuba.ac.jp
Link to the syllabus provided by the university