Through this lecture, the case study learning method is used, with the achievement of students being able to explain and analyze the basic concepts of algebraic functions which discuss irrational and rational algebraic functions, linear functions, parabolic functions, cubic functions, polynomial functions and fractional functions. Then discuss Transcendent functions which include Trigonometric functions, Exponential functions, Logarithmic functions, Hyperbolic functions, and Modulus functions. Limit functions, namely the Limit theorem, determining Limit Values by Direct Substitution, Factorization, Multiplication of Companion Numbers, L‘Hopital‘s Theorem, as well as the application of the Limit theorem at Infinity. Trigonometric Limits, Continuity of functions with limits. The final discussion in this course is differential algebraic functions, logarithms, exponentials, as well as trigonometry and also their inverses.