Pre-Calc

Course description:

• Functions and Graphs
• Polynomials, Power, and rational Functions
• Exponential,Logistics and Logarithmic Function

          Trigonometry

• Trigonometric Functions
• Analytical Trigonometry
• Applications of Trigonometry
• Systems and Matrices
• Analytical Geometry in two and three dimensions
• Discrete maths

Calc AB

Course Description:  Analysis of Functions and Graphs, Calculating limit, Understanding asymptotic behavior of graphs, continuity as a property of functions, Concepts of derivative, Derivative presented graphically, numerically and analytically, Relationship  between differntiability and continuity, Derivative as a function, Relationship between the increasing and decreasing behavior of f and the sign of f', Concavity , Applications of Derivative, and computations of derivative, Integrals-Riemann sum, Definite integral of the rate of change, Application of integral, Use of fundamental theorem, Antiderivative,Analytical and graphical analysis of antiderivative, Use of Riemann sum

Calc BC

Course Description:  Analysis of graphs, Functions, Intuitive understanding of limiting process, An Intuitive understanding of continuity, Parametric, polar and vector functions, Derivative- Derivtive presented graphically, numerically and analytically,slope of a curve at a point, tangent line to a curve at a point, Mean value Theorem and its geometric consequences,corresponding characteristics of graphs of f, f' and f", L'Hopital Rule, chain rule, implicit differentiation, derivatives of parametric, polar and vector functions, Integrals- Interpretations and properties of definite integrals, Use of fundamental theorem of calculus, Anti-derivative by parts and simple partial function, Improper integrals, Applications of anti derivative, Solving logistic differential equations, Series- Harmonic, geometric, Alternative series and Applications , comparing series to test for convergence and divergence Taylor series, Maclaurin series and Lagrange error bound for Taylor polynomial