• Math Analysis IIP                 

     

    1st Term Topical Overview:

     

    linear functions

    solving linear systems

    Gauss elimination

    matrix operations

    inverses

    quadratic functions

    solving quadratic equations using

    derivation of quadratic formula

    completing the square

    matrices

    cubic functions

    position, velocity, and acceleration relationships

    average velocity from data

    symmetric difference quotient

    zeros of model velocity function

    solution of radical functions

    Binomial Theorem/Pascal’s triangle

    combinations, permutations

    variation and standard deviation of normal models

    normal model for binomial densities

    Central Limit Theorem

    distribution of means

     

    2nd Term Topical Overview:

     

    instantaneous vs. average velocity

    tangent line to point on a graph

    relative extrema

    optimization

    derivative as a rate of change

    cost, demand, revenue, profit functions

    marginal cost, profit

    inflection points

    sinusoidal functions

    derivative of sine and cosine

    second derivatives

    acceleration

    angle sum identity

    trig identities involving sine and cosine

    probability applied to genetics

    Hardy-Weinberg Equilibrium Principle

     

    3rd Term Topical Overview:

     

    radical, reciprocal functions

    odd/even functions

    composites

    inverse variation

    asymptotes

    derivative rules

    power functions

    sum/difference rule

    chain rule

    scalar multiplication

    product rule

    mathematical induction

    polynomial approximators for sinusoidal functions

    geometric sequences

    recursive/explicit functions

    exponential functions

    linear approximation

     

    4th Term Topical Overview:

     

    finite difference equations

    increasing/decreasing functions

    concavity

    derivative rules for

    reciprocals

    exponential functions

    log functions

    exponential growth/decay

    bounded exponential growth

    logistic functions

    sequence of partial sums

    infinite geometric series

    Newton’s Law of Cooling

    Euler’s Method

    Logarithmic functions

    discrete and continuous models

    parametric model for projectile motion

    analysis of relationships