Calculus II

This course includes techniques of  integration, applications of  integration, differentiation and integration of  trigonometric, exponential, logarithmic, hyperbolic functions and their inverses, sequences and series, conics, parametric equations and polar coordinates, improper integrals and ODE’ equation.

The purpose of this course is to provide the mathematical foundation for  computer science courses and to develop the topics of vector geometry, integral calculus, differential equations and mathematical models.

Upon the successful completion of this course, students should be able to:

• Understand the notion of mathematical thinking and be able to apply the methods in problem solving.
• Locate and use information to solve calculus problems.
• Demonstrate ability to think critically by demonstrating an understanding for infinite series and their use for approximation.
• Demonstrate ability to think critically by recognizing patterns and determining and using appropriate techniques for solving a variety of integration problems.
• Demonstrate an intuitive and computational understanding for integral applications by solving a variety of problems from physics, engineering and mathematics.
• Demonstrate the ability to find integrals using various techniques.

Textbooks

1. Thomas’ Calculus, 12^th Edition, George B. Thomas, Maurice D.Weir, & Joel R.Hass.
2. Advanced Engineering Mathematics, 10^th Edition, Erwin Kreyszig.

References

1. Higher Engineering Mathematics, 7^th Edition, John Bird.
2. Calculus for Scientists and Engineers, 2^nd Edition, Briggs, Cochran and Gillett.