This course focuses on technical skills necessary for students to become proficient in applying fundamental concepts and tools of Calculus. Application of Partial Derivate, Multiple Integrals, Differential equations and series solutions are covered in this course. The primary goal of this course is the effective use of the knowledge acquired to identify, represent and solve a wide variety of day-to-day and industrial problems. In order to facilitate the learning process, as part of the project work in this course, students will be encouraged to come up with real problems where such concepts can be applied, and use tools available to seek solutions for complex problems.
Student Learning Outcomes
On successful completion of the course, students will be able to
- Use three dimensional coordinate systems to represent lines, planes and surfaces
- Utilize multiple integrals in various coordinate systems to calculate surface areas and volumes of three dimensional shapes
- Use differential equations to analyze spring/mass systems, objects under acceleration and electric circuits.
- Develop awareness to tools available that can solve complex differentiations and integrations