Michael’s current tutoring subjects are listed at the left. You
can read more about
Michael’s qualifications in specific subjects below.
I have aced honors Algebra 2 in high school and was inspired by a great teacher. I have completed a college engineering curriculum which heavily emphasized mathematics, including and going beyond the Algebra 2 level. For example, linear algebra and differential equations required a solid grasp of algebra. For that reason, I have a strong background in Algebra 2.
I have received a 5 in AP calculus BC, taken 2 engineering-level calculus courses at UCLA, and constantly applied calculus throughout the aerospace engineering B.S. curriculum. For example, many engineering formulas are derived using differentiation or integration. As a result, I have a solid background in calculus.
I have taken two UCLA courses for differential equations, one under the math department, and another under mechanical engineering. Furthermore, going through the aerospace engineering curriculum required a solid grasp of applying and solving differential equations. For example, my feedback control systems course extended the use of differential equations to model the behavior of input-output systems. This background gives me a strong foundation for differential equations.
I have taken honors geometry in high school, tutored in pre-calculus which is geometry-heavy, and completed college engineering curriculum which rigorously applies geometry in most courses. This background makes me well-versed in geometry.
I have taken AP physics, achieved a 760 in SAT physics, and taken a year of engineering-based physics at UCLA (Newtonian physics + Electricity & Magnetism + Waves and optics). My engineering curriculum deeply emphasized a physics background, including statics, dynamics, fluid mechanics, thermodynamics, electricity. Therefore, I have a solid background in physics.
I have aced pre-algebra as well as Algebras I and II. I scored a 780 in the harder SAT math test, which covered up to Algebra II. Having a solid foundation in pre-algebra immensely helped me in the higher level math and engineering courses in college. Numerous engineering homework and test problems involved algebraically manipulating equations in order to arrive at the final answer. As a result, I am well-versed in pre-algebra.
I have aced honors pre-calculus in 11th grade while 1-on-1 tutoring an average pre-calculus student at the same time. I have received a 5 in AP calculus BC, and continued applying calculus throughout a college engineering curriculum. For example, engineering problems often involve trigonometric functions like sine and cosine, for which pre-calculus laid the groundwork. Consequently, I have a solid background in pre-calculus.
I have scored 760 on SAT Math I and 780 in SAT Math II. I have aced all my courses in Arithmetic, Algebra, and Geometry - the topics covered in SAT Math.
I have aced Geometry & Precalculus, which emphasize trigonometry. My college engineering curriculum involved angular, oscillating, and other problems requiring trig. As a design engineer, I often found myself hand-analyzing the trigonometry of angled portions in drawings to ensure the right dimensions.