The ultimate purpose of an education is to cultivate your intellectual capabilities so that you may create the opportunities for your own self-fulfillment. Thus, an educational experience is one in which you are provided a challenging environment to explore, inquire, and achieve in your own way. My objective then as your tutor is to construct such an environment wherein these abilities may be maximally developed so that you are empowered to accomplish your specific goals. In doing so, I will... [more]
Understanding algebraic concepts and their associated operations will be imperative if you intend to succeed in your future STEM classes and standardized exams. In fact, solving for unknown values is one of the core objectives of any natural science, (quantitative) social science, or mathematics course. Algebra I will introduce you to a range of methods in order to do so. Moreover, you will explore various types of functions in this course that are incredibly useful in modeling experimental data. Allow me to equip you with the problem-solving perspective and skills necessary to master Algebra I so that you will be well-prepared for the future.
Understanding algebraic concepts and their associated operations will be imperative if you intend to succeed in your future STEM classes and standardized exams. In fact, solving for unknown values is one of the core objectives of any natural science, (quantitative) social science, or mathematics course. Algebra II will introduce you to an additional range of methods, over and above those in Algebra I, in order to do so. Moreover, you will explore various types of advanced relationships (e.g., Conic Sections) and functions in this course that are incredibly useful in modeling experimental data. Allow me to equip you with the problem-solving perspective and skills necessary to master Algebra II so that you will be well-prepared for the future.
Conventional notions surrounding the study of biological subjects nearly always include the overbearing suggestion to invest heavily in flash cards. True, you will be introduced to new vocabulary--as in any other subject--and you will be expected to use this new vocabulary--as in any other subject. However, and more importantly, you will be expected to understand the mechanics and functions of multiple biological processes in your course (sans flashcards). With my wealth of supplemental resources and my straightforward approach, allow me to assist you in identifying, relating, organizing, and explaining these processes from the macroscopic to the microscopic. [UT BIO 311C Grade: A] [UT BIO 311D Grade: A] [UT BIO 325 Grade: B] [UT BIO 320 Grade: A-] [UT BIO 344 Grade: A]
Differential: Consider how you have calculated a rate of change until now. A difference in distance, area, volume, etc., was taken, and then it was divided by an interval of time over which the change occurred. Now, shorten the interval of time. Do it again. And, again. And, again--until the interval is infinitesimally small. In fact, let the interval shorten to zero (Yes, this is mathematically possible!). Once done, you will no longer have an average rate of change, but you will have an instantaneous rate of change for a given point in time. The above concept is the foundation upon which the methods of differential calculus have been developed. With my wealth of supplemental material and my patient, straightforward approach, I can assist you in applying the above concept to your advantage. Allow me to convey the connection between this concept and the methods necessary to solve derivatives for the various functions that you will encounter in your AP or university course along with its usefulness outside of the classroom. [UT M 408K Grade: A] Integral: Do you know how your smartphone calculator is able to generate the various outputs from the functions you select? What if I told you that the "advanced" algorithm it uses to compute the square of the natural logarithm of the cosine function of a given value only requires the four basic operators (+, -, x, /) that you mastered in elementary school. How? Integral calculus. Additionally, have you perhaps wondered how statisticians, physicists, engineers, economists, etc., can determine the exact amounts of quantities that change at different rates over different intervals of time? Probably not. I never did. But, once I did, and once I understood the concept underlying the answer and its connection to the methods that these professionals regularly use to make informed decisions in their respective fields, I understood the value of such a powerful tool. With my wealth of supplemental materials at your disposal and my patient, straightforward approach, I can assist you in leveraging these insights to your advantage. Allow me to guide you in learning the concept, methods, and value of integral calculus. [UT M 408L Grade: B+] If you have made it to this level of calculus, you are probably versed, if not well-versed, in the various methods necessary to calculate the derivatives and integrals of a variety of functions. Great! Now, keep the methods (with a few caveats) and introduce an additional dimension to the equation. You are now primed to tackle multivariable calculus. If you need assistance in understanding and/or applying those caveats, allow me to explain the reasoning underlying them and the operations necessary for you to master multivariable calculus. With my wealth of supplemental material and my patient, straightforward approach, I can assist you in successfully completing this rigorous course. [UT M 408M Grade: A]
Perhaps, the most important piece of advice I received from my university instructor in Principles of Chemistry I was to make the periodic table my friend. In other words, she implored my fellow classmates and me to not only become familiar with the structure and arrangement of the periodic table but to fully understand the reasons why the periodic table is structured and arranged in such a way. Once the reasons are understood, you can then derive and predict the properties (e.g., electronegativity, ionization energy, and atomic radii, etc.) of each element. Whether you need assistance in configuring electrons, drawing Lewis Dot Structures, calculating the change in Gibb's Free Energy of a System, or determining what type of bond will most likely form between two elements, I can help you effectively use the periodic table and other resources to your benefit. Allow me to enhance your academic experience with sound instruction and guidance. [UT CH 301 Grade: A] [UT CH 302 Grade: B] [UT CH 204 (Lab) Grade: A]
Anecdotally, it seems that individuals tend to perform better in either geometry or algebra. Despite limited and even contradictory empirical evidence to support this claim, the categorical mistake persists. A student may prefer geometry to algebra (or vise versa), but this preference does not preclude a student from performing well in either course. The problems may be different in a formal sense, but the strategies necessary to understand and correctly solve them remain the same. Whether your student needs assistance in comprehending the relationship between angles created by a transversal through two parallel lines or determining the best approach to prove that two triangles are congruent based on limited information, I can assist your student in each area of geometry with my wealth of supplemental material and my patient, encouraging approach. Allow me to enhance your student's mathematical literacy by illustrating the connection between geometric and algebraic reasoning.
Mechanics: Although natural phenomena can be more precisely explained with the concepts and mathematics of quantum mechanics, classical mechanics is still a useful approximation at the macroscopic level. The key to conquering this course and any other course based in quantitative measurement is to fully understand the problem and to accurately relate the given information to the unknown solution. Whether you need assistance in understanding projectile motion, in calculating angular momentum given torque, or in making sense of Pascal's or Bernoulli's Principle, I can help you comprehend the ideas and methods necessary to succeed in your course. Allow me to enhance your academic experience with sound, straightforward instruction. [UT PHY 317K Grade: A] [UT PHY 117M (Laboratory) Grade: B+] Electromagnetism: The study of electromagnetism can be a challenge for students since the interaction forces under consideration occur at the atomic and sub-atomic levels, beneath the purview of everyday experience. With that said, many parallels exist between mechanics and electromagnetism, in terms of both concepts and operations, that can be leveraged to better understand this subject. Whether you need assistance in understanding the difference between electric fields and magnetic fields, comprehending various properties of particular types of circuits, or calculating the amount of induction generated by a given amount of magnetic flux over time, I can help you master both the concepts and strategies necessary to succeed in your course. Allow me to enhance your academic experience with sound, straightforward instruction. [UT PHY 317L Grade: A] [UT PHY 117N (Laboratory) Grade: A]
Developing a sound grasp of the concepts and operations introduced in Pre-Algebra is necessary for your child to appreciate the value and usefulness of algebraic reasoning. With a wealth of supplemental materials at my disposal and a patient, encouraging demeanor, I can assist your child in mastering the problem-solving strategies that he or she will encounter in this course. Allow me to enhance your child's mathematical literacy by fostering a sound comprehension and approach to the mechanics of Pre-Algebra.
Pre-Calculus will likely be the most difficult course that you or your student will take during high school. A firm understanding and ability to manipulate trigonometric functions in both the real and complex plane is imperative to success. Moreover, familiar topics such as conic sections will be presented in new ways, which will challenge you to think of their properties in novel and more useful ways. Lastly, new material such as parametric and polar equations, in addition to the concept of mathematical limits, will require the mastery of unfamiliar techniques. With my wealth of supplemental materials and my patient, encouraging approach, I can assist you or your student in developing the problem-solving strategies necessary to succeed in Pre-Calculus. Allow me to enhance your or your student's mathematical literacy with sound instruction.
Although trigonometry is first introduced in geometry and further explored in pre-calculus, the subject could be offered as a stand-alone course all its own. They key to mastering the rigorous subject of trigonometry, however, is to fully grasp the properties of the six principle trigonometric functions. With my wealth of supplemental materials and patient, encouraging approach, I can help you or your student understand and apply the operations of trigonometry successfully. Allow me to assist you in further developing your or your student's mathematical literacy.
Despite the growing reliance upon statistical analysis to make sound judgements and inferences, many factors can contribute to generating statistical results that are meaningless at best and misleading or false at worst. Understanding the assumptions and the conditions that must be met in order to perform a particular statistical analysis is imperative to produce sound results. Moreover, the best interpretation of these results is necessary to maintain your integrity and credibility as a student or professional. Having conducted a statistical analysis for a doctoral candidate (now doctor) and currently conducting an analysis for a graduate student, along with my patient, straightforward approach, I can assist you in identifying how to correctly analyze and interpret your data. Additionally, if you are taking a course in statistics, my wealth of supplemental resources and insights can aid you in comprehending and applying the methods presented to your benefit. Allow me to enhance your academic and/or professional development with sound instruction. [UT SDS 328M Grade: A]
Government & Politics
Perhaps the most counter-intuitive subject that you will encounter in your academic career will be probability. Since kindergarten, mathematics has been framed in definite terms with no room for interpretation. Although the discipline of probability attempts to quantify uncertainty (and does so incredibly well), interpretation of the results obtained requires a firm understanding of the assumptions and conditions that underly the particular method of quantification used. With my wealth of supplemental materials at your disposal, and my ability to convey the mechanics of probability in a simple, straightforward manner, I can assist you in mastering this challenging subject. Allow me to enhance your learning experience and to help you succeed in your course. [UT SDS 328M Grade: A]
Developing basic mathematical literacy at an early age is imperative to ensure that your child is poised to master advanced mathematics later in his or her academic career. With a wealth of supplemental materials at my disposal and a patient, encouraging demeanor, I can help your child develop the necessary problem-solving strategies and mathematical acumen to succeed. Allow me to assist your child in realizing the value of a strong mathematical skill-set.
As in any other statistics course, the concepts, methods, and operations are identical. The only difference between each is the type of data analyzed and in this case, biological data will be explored. Whether you need assistance in understanding the difference between the three measures of central tendency or in conducting a chi-square goodness-of-fit test at alpha = 0.05 and d.f. = 20, I will convey both the rationale and method of any statistical topic discussed in your course to your benefit. [UT SDS 328M Grade: A]
Most students are misguidedly encouraged to memorize the terms, concepts, and methods involved in genetics rather than to understand them. True, some memorization will be necessary, but the key to successfully completing a course in genetics is to comprehend the principles that underly the complexity of these biological phenomena without the oversimplification required to memorize every detail. So, whether you need assistance in determining the genotypic and phenotypic ratios from a dihybrid cross, in understanding the difference between DNA Polymerase I and III in prokaryotic DNA replication, or in learning the dynamics of the lac operon, I can help you grasp the concepts and processes necessary to succeed in your course. Allow me to enhance your academic experience with sound, straightforward instruction. [UT BIO 325 Grade: B]