Understand what a function is and how it can be represented geometrically as a graph. Learn some standard function manipulations (algebraic combinations, composition, inverses, etc.) focusing on how such manipulations affect the shape of the graph. Learn algebraic and geometric properties of classic functions (polynomial, rational, exponential, logarithmic, trigonometric, etc.), emphasizing the relationship between them. Explore the basic two ideas for nearly all mathematical formulas in science: the derivative, which measures the instantaneous rate of change of a function and the definite integral, which measures the total accumulation of a function over an interval. The rules by which we can compute the derivative and the integral of any function are called calculus. The Fundamental Theorem of Calculus links the two processes of differentiation and integration in a beautiful way. Finally, the course offers an introduction to probability and statistics, approaching the study of random variables, measures of central tendency, measures of dispersion, the Pearson correlation coefficient, the coefficient of determination, linear regression.