Factorials, permutations, combinations, and the binomial theorem
Proofs and Mathematical Induction
Functions and transformations
Complex Numbers and Roots
Intro Statistics including: Variance and standard deviation, conditional probability, tree diagrams and Bayes’ Theorem
Spring Year 1, Semester 2
Differential Calculus (Calc I)
Geometry and Trigonometry
Exponents and logarithms
Indefinite and Definite Integrals
Integration by substitution and parts
Fall Year 2, Semester 1
Calculus applications including kinematics
Area under and between curves, volumes of revolution
L’Hopital’s rule
Maclaurin and Taylor Series
Differential equations
Advanced Vectors in 2D and 3D including dot and cross products
Cartesian, parametric, and vector forms of lines and planes
Spring Year 2, Semester 2
Polar coordinates, Euler’s form, and complex powers and roots
Advanced Statistics including: Conditional probability and BAyes' Theorem, discrete random variables, binomial distribution, continuous random variables, and normal distribution