**EG02041 Advanced Mathematics(Spring AB)**

**Instructor:**

Dr. Tofael Ahamed**Catalog Description:**

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 and expected to have the concept on matrix and probability. In this course, students will have first a review on the basics calculas and literally they will introduced with the advanced mathematics sections like geometrical meaning of differential equations, modeling and solution of ordinary and partial differential equations, and multiple integral, numerical analysis and Laplace transformation. 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 Objectives:**

After the successful completion of the course, students will be able to understand the expansion of differentiation and integration and introduced with the advanced area of mathematics such as laplace transformation, numerial analysis. They would be able to prepare a project using the matheical tools using differential equations and partial differential solutions of equations for creating model for life sciences.**Numbers of Hours:** 15 hrs**Quiz :**

There would be feedback quiz to practice in the class. The quiz covers from the theoretical to practical aspects in the life and environmental sciences.**Exam :**

There will be one exam at the end of the semester.**Semester Homework :**

Students have to submit a semester final homework on the final exam day. The aim of the homework is to practice and review the class lectures. This will help the students to prepare themselves for the final exam to acheive a expected grade. In addition, the homework will carry a percentage of final grade.**Text Books:**

Calculus for the Life Sciences- Marvin L. Bittinger, Neal Brand, and John Quintanilla

**Reference Books:**

- Advanced Engineering Mathematics by E. Kreyszig, John-Willey
- Ordinary Differential Equations- An Elementary Text book for students- Morris Tenenbaum & Harry Pollard
- Partial differential Equations for Scientist and Engineers- Stanley J. Farlow
- Numerical methods for Scientist and Engineers
- Engineering Mathematics, H.K Dass