Integral Calculus (MATH106)

This course is offered to first-year Engineering and Computer Science students at KSU. It introduces the fundamental concepts of antiderivatives and definite integrals. Key topics include the differentiation and integration of transcendental functions (such as natural and general exponential and logarithmic functions, trigonometric and hyperbolic functions), indeterminate forms, and L'Hôpital's Rule. The course also covers various integration techniques and the application of definite integrals to find areas of plane regions, improper integrals, volumes of solids of revolution, arc lengths, surface areas of surfaces of revolution, and parametric representations of plane curves. Further exploration includes calculating arc lengths and surface areas for surfaces of revolution, as well as working with polar coordinates and performing integrations in polar coordinates (including area of polar regions, arc length of polar curves, and surface area of surfaces of revolution in polar coordinates).