I was trained to tutor in ACT prep through my work as a former tutor and test prep instructor for StudyPoint, Inc. and The Princeton Review, Inc., respectively. I have tutored several students independently in New York City and in Columbus, OH for the ACT after I finished my Master's degree. Since I am a math and science tutor, I usually get tutoring requests for the math and science portions of the exam from local high school students. The City College of New York also uses a modified ACT as an entrance requirement, and I have successfully tutored students that wanted to gain admission as transfers from schools outside the United States. Until now, I had only received requests from my regular algebra students, who contacted me for help with their classwork or needed a refresher, but I can develop individualized test prep sessions for students interested in preparing for the ACT, as a whole or just the math and science sections.
I was trained to tutor in ACT prep through my work as a former tutor and test prep instructor. I have tutored several students independently in New York City and in Columbus, OH for the ACT after I finished my Master's degree. Since I am a math and science tutor, I usually get tutoring requests for the math and science portions of the exam from local high school students. The City College of New York also uses a modified ACT as an entrance requirement, and I have successfully tutored students that wanted to gain admission as transfers from schools outside the United States. Until now, I had only received requests from my regular algebra students, who contacted me for help with their classwork or needed a refresher, but I can develop individualized test prep sessions for students interested in preparing for the ACT, as a whole or just the math and science sections.
As an experienced tutor and honor's math major, I am well acquainted with the material covered in algebra and prealgebra courses. I have also taught algebra I to adult students at career colleges and middle and future high school students in summer enrichment programs. We usually go over: arithmetic of real numbers; fractions, decimals, and percents and related word problems; exponents, powers, and roots; order of operations; functions; solving linear and quadratic equations; graphs of linear equations and their different forms, including slope-intercept, point-slope, and standard form; inequalities; systems of inequalities and equations; polynomial addition, subtraction, multiplication, and division; and factoring in all of its forms.
As an honors math major, I am well-acquainted with all levels of high school math. In particular, I can help Algebra 2 students with: graphs and solutions of linear and quadratic equations and inequalities; expressions, functions, and inequalities involving roots, ratios of polynomials, radicals, and complex fractions; factoring using theory of polynomials; conic sections; combinatorics; matrices; systems of equations and inequalities; inverse functions; and exponential and logarithmic functions and related problems.
I majored in biology and took several upper-level lab courses at my alma mater. In addition to Principles of Biology, which covers the basics of molecular and environmental branches, I took courses in biochemistry, molecular cell biology, microbiology, anatomy and physiology, invertebrate zoology, marine biology, and cell culture techniques. A few years have passed since I finished my biology research and decided to focus my graduate studies in pure mathematics, but I still find the material interesting. I can definitely help honors and introductory biology students focus their studies.
I have tutored students in Calculus I through IV at Ohio State and Columbus State. I also tutor AP Calculus AB and AP Calculus BC students. I am well acquainted with the following textbooks:
*Calculus by James Stewart;
*Calculus by Ron Larson, Bruce H. Edwards;
*Calculus by Dale E. Varberg, Edwin Joseph Purcell, Steven E. Rigdon.
I can also help with advanced calculus and introductory real analysis courses.
I have tutored college and AP chemistry students since 2005. I currently help advanced high school students in the Columbus area . Over the last few summers, I have also helped students at Colgate University, Long Island University, The Ohio State University, and Columbus State Community College with their coursework in general/introductory chemistry. I can also help with organic chemistry, but I may need to review the material as I usually only tutor it once a year, depending on demand.
Since I was a math major, I had to master elementary math before moving on to advanced proofs. I am patient and will help you learn the material with ease if you put in the time and effort. Practice makes perfect.
I enjoy helping students with geometrical proofs. You have to make sure each statement logically follows from those preceding them. Geometry is a great course in which I can help students explore the concepts of congruency and similarity of figures in the plane as well as 3-dimensional space. We also get a chance to study problems related to distances, areas, and volumes while also learning about symmetry transformations. The properties of circles, quadrilaterals, and triangles are fascinating, and with plenty of practice problems, students will learn to appreciate that fact.
I have plenty of experience performing Gaussian elimination and calculating determinants. I also know how to find the eigenvalues and eigenvectors of a matrix or linear transformation. I also have experience working with unitary, symmetric, skew-symmetric, and other types of matrices. Working with the theoretical aspects of fields and vector spaces are actually my favorite aspects of this subject. I am familiar with some applications and the basic uses in coding theory. Nonetheless, I lack solid programming experience for numerical analysis applications.
As part of my math major requirements, I took an upper-level course in mathematical logic as an elective and got an A. I only lost a fraction of a point on a midterm for not citing a theorem from lecture; otherwise, I would have gotten perfect score in the class. I love constructing formal proofs using a first order language and predicate calculus. Deducing that a statement is true as a consequence of the rules of inference applied to a set of axioms is most entertaining. I doubt most students go beyond truth tables and naive set theory, but I can help them out with those as well.
I have helped dozens of middle schoolers and students in junior high with prealgebra in Pickerington, Reynoldsburg, and Columbus, OH. I have also tutored prealgebra students in Westchester County, NY. Moreover, several of my students have now successfully completed honors algebra courses and higher.
I work with students by covering all their gaps, and then, through practice, practice, and more practice, they eventually master the routine calculations, recognizing underlying patterns, and are able to solve a myriad of related problems.
I can help students with analytic geometry; families of functions and their graphs; compositions of functions; inverse functions; polynomial, rational, exponential, and logarithmic functions with applications to the physical and social sciences; trigonometry and its many applications; systems of equations and inequalities; sequences, induction, counting, and basic probability; matrices and determinants; partial fraction decomposition; vectors as well as their dot and cross products.
I worked as an SAT Prep instructor for The Princeton Review, Inc. as a junior and senior in college. I also helped several students in Westchester County, NY with their SAT Math Level I and II subject tests. My private students who meet with me one-on-one for several sessions normally score 700 or higher on the math sections of these standardized tests.
I am a native Spanish speaker who completed bilingual elementary and high school education in the Dominican Republic. I am completely fluent as I can read, write, and speak in Spanish. In terms of academic units in the US, I also scored 80/80 on the College Board CLEP exams in Spanish and earned 12 college credits equivalent to 4 semesters of introductory and intermediate Spanish necessary for my alma mater's general education requirements. In Ohio, I have tutored students from the Pickerington, Reynoldsburg, and Columbus high schools. In the past two years, I have also helped 5 adult students in the area with their conversational Spanish skills for their trips to Peru and the Caribbean. I also translate legal and technical documents from English to Spanish and from Spanish to English.
I enjoy the algebraic aspects of manipulating expressions with trigonometric functions. I love proving identities; ever since I took my first lessons in trigonometry in high school, I can't get enough of these types of problems. Since I took Calculus, Differential Equations, Complex Variables and Abstract Algebra later on, my fondness for trigonometry has not dwindled, but grown. Transformations (by doing shifts, reflections, and dilations/contractions) and periodicity are also very interesting, but I have to spend some time explaining the symmetries and movements to students. Nonetheless, I must admit that I hate graphing polar equations. I had to do the graphs by hand without polar graphing paper, and it takes me forever to make a neat graph. Solving trigonometric functions is an exciting challenge since you have to be wary of the constraints imposed by the domain of the inverse trigonometric functions and the families of angles before you can write down the primary and general solutions. This is especially useful in calculus, differential equations, and complex variables.