This topic is for those wishing to enter a university course in Calculus. It `brushes up` the knowledge that is regularly assumed for a beginning Calculus program, and the introduces material that may not have been dealt with in a pre-University course. We will go through the following topics over the space of an academic year (2 Semesters): 1. Functions and Their Graphs 2. Polynomial and Rational Functions 3. Exponential and Logarithmic Functions 4. Trigonometry 5. Analytic Trigonometry 6. Additional Trigonometry Topics 7. Systems of Equations and Inequalities 8. Matrices and Determinants 9. Sequences, Series, Probability 10. Analytic Geometry