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.

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