Understand and work with piecewise functions; graph absolute value functions; interpret domain and range; understand inverse functions and where they came from. Integration Review 3.
Other topics include the fundamental group and if time permits, covering spaces. an equation of the line tangent to y = x³ + 3x² + 2 at its inflection point is? if lim x → a f(x) = L, where L is a real number, which of the following must be true? A little background on how he got into teaching math.
It is recommended that students needing or desiring this subject take an additional course (several excellent courses in ordinary differential equations are offered at the 5000 level). find the production level that will minimize the average cost of making x items. for what values of x, -2 < x < 4 is f not differentiable? Permission of the Department of Mathematics is required to take this course.
Welcome to Mr. Braghini's Honors Math Analysis Course Welcome students and parents! if f(x) = (x² - 2x - 1)^2/3, then f'(0) is? Coaching is still a part of Mr. Braghini's passion as well. Limits and Derivatives Review 2. Concepts of inverse functions within linear, quadratic, and exponential modeling contexts; identify domain/range restrictions for functions to be invertible; surface ideas about logarithms; use function machines to identify inverses; composition of functions to verify functions are inverses; multiple representations for inverse functions. On his mission, he taught many kids from 9 to 14. at what value of t does the bug change direction? the wind carries the kite horizontally away from him at a rate of 10m/sec.
Can identify solutions to a system of equations using matrices (in 2 and 3 variables). MATH 5615/5616 - Honors: Introduction to Analysis I/II. Rigorous development of differentiation and Riemann-Stieltjes integration. Implicit function theorem. find the points of inflection of y = x³ - 10x - 3, inflection point: (0, -3) = plug x into original to find y, find the extreme values of the function y = 3x/(x² + 1) and where they occur, find the equation of the normal line to the curve y = 4x² at (-2, 16), determine the discontinuities of f(x) = 0 when x < 0, x² - 3 when 0 ≤ x ≤ 3 and 3 when x > 3, let lim x → -8 f(x) = 3 and g(x) = -4. find lim x → -8 (-7f(x) - 4g(x))/(-7 + g(x)), find dy/dx and d²y/dx² if 2y - x + xy = 8, determine where f(x) = 27x - x³ is increasing or decreasing, find the value of a that makes f(x) = x² - 5 when x < 5 and 4ax when x ≥ 5 continuous. at what point on the graph of y = 1/2x² is the tangent line parallel to the line 2x - 4y = 3?