The topics covered in this survey course are those of the IB SL Mathematics: Analysis and Approaches syllabus. The fundamentals of differential and integral calculus are covered in this course. Topics include limits; continuity; understanding derivatives as functions, slopes, and rates of change; derivatives of polynomial, rational, trigonometric, exponential, and logarithmic functions; analysis of graphs; optimization; related rates; rectilinear motion; anti-differentiation; the Fundamental Theorem of Calculus; integration by substitution; and applications of integration to area, volume, rectilinear motion, and accumulation problems. Topics in statistics introduced in SL1 are reviewed and extended. These include discrete random variables and normal distributions. Students complete an IB mathematics portfolio in this class. Each day in class the homework is reviewed and questions are answered. New concepts are presented with examples, in preparation for the next night’s homework. Student input and questions drive class discussion. Strong algebraic and graphing skills are assumed. While students are not required to take the IB exam, they are welcome to do so.
Open to: Juniors and seniors