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