Calculus II

This course includes Calculus (II). Calculus is the large portion of core knowledge for computer science students. The purpose of this course is to provide applications including infinite series, parametric equations, vector calculus and techniques of differential equations. This course generally covers the topics: Infinite series, Parametric equations and polar coordinates, Vector Calculus and Ordinary Differential equations.

This course is designed to develop the topics of vector calculus, differential equations, infinite series and parametric equations. Upon completion, students should be able to select and use appropriate techniques for finding solutions to differential equations, parametric equations, polar coordinates and conic sections.

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

Understand the notion of mathematical thinking, and be able to apply them in problem solving, understand the concepts of infinite series, parametric equations, polar coordinates, vectors and ordinary differential equations. Construct the Model for spatial problems with vectors, lines, planes, curves and surfaces in space. Solve ordinary differential equations. Understand and apply infinite series for convergence using a range of tests.

Textbooks:

1. Thomas’ Calculus, 12th Edition, G.B. Thomas, M.D.Weir, &J.R.Hass.
2. Advanced Engineering Mathematics, 10th Edition, E.Dreyszig

References:

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