To teach a wide range of advanced mathematics knowledge like as derivative and integral to the computer education and instructional technology teacher candidates to develop their mathematic content knowledge.

Riemann sum and definition of definite integral, antiderivative and general antiderivative, the basic theorem of integral calculus, definition of indefinite integral, integration methods (changing variable, partial integration, using trigonometric equivalences, changing trigonometric and hyperbolic variable, seperating proper fractions), numerical integration (The Midpoint Method, The Trapezoids Method and The Simpson's Method), generalized integrals, applications of integral (the area between the curves, the volume and surface areas of surface of revolution, the lenghts of curves). Linear algebra, matrix and its applications.