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Travel radius

25 miles
Hourly fee

$60.00
Email Lisa O.

You don't pay for tutoring

unless you find a good fit!

Lisa O. passed a background check on 12/5/11. The check was ordered by Lisa through First Advantage. For more information, please review the background check information page.

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I enjoy helping students reach their academic goals - such as improving performance in math coursework like algebra, geometry, trigonometry, precalculus, and calculus, preparing for the SAT or ACT math section, or preparing for an upcoming challenging math course or exam (such as the AMC). I find it rewarding to answer students' questions about math and help them master concepts that once seemed difficult.

I can travel to a student's home or meet at a cafe or library for tutoring. During tutoring sessions I like to work through problems jointly to help students gain a greater understanding of what is being asked, and which techniques are available to solve the problem. I always strive to provide good analogies and real world examples and context - that is, I take something which might initially seem foreign and strange and explain how it is really a natural extension of material the student is already familiar with. I make sure that students get the practice they need to learn and remember the techniques they are using and to choose the best technique for a given problem. I encourage students to become more comfortable with basic calculations and numerical estimation. I will occasionally describe the history behind certain mathematical advances so that students may become more aware of the evolution of mathematical knowledge over time.

I attended college at Caltech where I earned a Bachelor's degree in Mathematics. After graduation I tutored high school students in algebra, geometry, trigonometry, precalculus, calculus, and SAT math. I worked as an actuarial analyst at WellPoint and passed three actuarial exams. I worked as a teaching assistant at Indiana University in Bloomington where I attended graduate school and earned a Master's degree in Mathematics. During 2011, 2012, and 2013 I tutored many high school students in Southern California and several college students. If you have any questions for me or would like to set up a tutoring session, please send me a message. I would be happy to hear from you!

Math:

ACT Math, Algebra 1, Algebra 2, Calculus, Geometry, Prealgebra, Precalculus, Probability, SAT Math, Trigonometry

Homeschool:

Test Preparation:

ACT Math, SAT Math

As you study algebra 2, you will learn about the following topics. I'd be happy to work with you to help you understand these and others:

-conic sections: parabolas, circles, ellipses, hyperbolas

-finding zeroes of polynomials of degree greater than 2

-arithmetic and geometric sequences and series

-finding zeroes and asymptotes of rational functions, solving rational equations

-solving 2x2 and 3x3 linear systems of equations

-exponential and log functions

-inverse functions

-permutations and combinations

-the binomial theorem

-complex numbers

As you study calculus, you will learn about the following topics. I'd be happy to work with you to help you understand these and others:

- the definition of limit, how to evaluate limits, the definition of a continuous function, how to determine whether a function is continuous

- the definitions of removable discontinuity, jump discontinuity

- the definition of the derivative

- the derivative is equal to the slope of the tangent line

- evaluating derivatives of functions using the definition of derivative

- evaluating derivatives of functions using the power rule, product rule, the quotient rule, and the chain rule

- applications of the derivative - optimization problems, related rates, locating extrema / points of inflection

- Riemann sums

- definition of the definite integral

- antiderivatives

- the fundamental theorem of calculus

- using definite integrals to find the size of the area between two curves

- techniques of integration: u-substitution, integration by parts, trig substitution

- determining the volume of a solid of revolution

- determining arc length of a curve and the area of a surface of revolution

-determining convergence / divergence of infinite series

-power series

-parametrically defined functions

-polar coordinates

As you study precalculus, you will learn about the following topics. I'd be happy to work with you to help you understand these and others:

-matrices

-conic sections: parabolas, circles, ellipses, hyperbolas

-finding zeroes of polynomials of degree greater than 3

-arithmetic and geometric sequences and series

-finding zeroes and asymptotes of rational functions, solving rational equations

-solving 2x2 and 3x3 linear systems of equations

-exponential and log functions

-inverse functions

-the binomial theorem

-complex numbers

-limits

-the definition of the derivative

As you study probability you will learn about the following topics. I'd be happy to work with you to help you understand these and others:

- how to calculate the probability of an event occurring

- how to analyze standard probability scenarios like drawing cards from a deck, rolling two six-sided dice, and drawing marbles from a bag

- the definition of independent events and dependent events

- calculating the probability of A and B occurring, or A or B occurring

- definition of factorial, combination, permutation

I'd also be happy to help with more advanced topics, such as:

- expected value, variance, standard deviation

- probability density functions, probability mass functions, cumulative distribution functions

- continuous probability distributions: exponential, normal, chi-squared, and more

- discrete probability distributions: binomial, poisson, geometric, and more

As you prepare to take the math portion of the SAT it is a good idea to take some practice exams and to review the subject areas that appear on the test, including:

-arithmetic and geometric sequences

-special right triangles (45-45-90 and 30-60-90)

-circles

-percents, ratios, and proportions

-parallel lines cut by a transversal

-functions in the coordinate plane

-probability

-solid geometry

-factorization of integers

In addition to knowing the material it is helpful to practice test taking skills such as:

-using the answer choices to help (for multiple choice questions)

-process of elimination

-reading and analyzing the questions carefully

-time management during the test

-knowing when to guess

As you study trigonometry you will learn about the following topics. I'd be happy to work with you to help you understand these and more:

- how to measure angles in radians and what it means for an angle to be in standard position in the coordinate plane.

- definitions of the six trig functions - sine, cosine, tangent, cotangent, secant, co-secant

- finding the domain and range of trig functions

- solving trig equations

- trig identities

- graphing trig functions: period, amplitude, horizontal and vertical translations

- double angle formulas and half angle formulas

- inverse trigonometric functions

California Institute of Technology (mathematics)

Indiana University - Bloomingon, IN (Master's)

**Lisa O is Great!!!!** —
My daughter's confidence has gone way up and she has loved working with Lisa O!!! Thank you sooooo much.
...

Standard Hourly Fee: $60.00

Cancellation: 3 hours notice required

Lisa will travel within 25 miles of Jaffrey, NH 03452.

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