Hi!
My name is Archie, and I LOVE math (math is FUN!)! I have loved math since I was in second grade. I loved math so much that in my senior year in high school, I took AP Calculus AB and AP Calculus BC at the same time, and then majored in math in college, and went on to grad school to learn as much math as I could!
I earned my bachelor's degree in mathematics (with a minor in computer science) from the University of San Diego (USD) and my doctoral degree (Ph.D.) in mathematics from the University of California at San Diego (UCSD). I have been tutoring students since I was in high school, including students from Coronado High School, La Jolla Country Day School, University of San Diego (USD), SDSU, UCSD, and Australia (online)!
I also have teaching experience. At USD, I taught Intermediate Algebra, College Algebra, Calculus I, Calculus II, Applied Mathematics for Science and Engineering I, and Applied Mathematics for Science and Engineering II. At SDSU, I taught Fundamentals of Mathematics. When I was in grad school (UCSD), I was a teaching assistant for Math 20D (Introduction to Differential Equations), Math 104 (Number Theory), and Math 110 (Partial Differential Equations).
My approach to tutoring is the Socratic method, which is the use of open-ended questions to engage a student in discussion and guide him/her towards some kind of insight. This dialectical engagement generates a back and forth, a rapport between the tutor and the student.
The subjects that I tutor include (but are not limited to the following [please inquire about subjects not listed below]) Arithmetic, Algebra, Geometry, Trigonometry, Pre-Calculus, Calculus, Discrete Mathematics, Differential Equations, and Number Theory. I can also tutor in the mathematics/quantitative sections of standardized tests such as SAT and GRE (Graduate Record Examinations), plus CST (California Standards Tests), COOP/HSPT/TACHS (Catholic High School Entrance Exams: Cooperative Assessment Exam, High School Placement Test, Test for Admission to Catholic High Schools), SSAT/ISEE (Private and Independent School Admissions: Secondary School Admissions Test, Independent School Entrance Examination), PSAT/NMSQT (Preliminary SAT/National Merit Scholarship Qualifying Test), SAT Subject Math (Levels 1 & 2), ACT (American College Testing), AP Calculus AB/BC (Advanced Placement), CAHSEE (California High School Exit Exam), GED (General Educational Development Test), ASVAB (Armed Services Vocational Aptitude Battery), ASTB (Aviation Selection Test Battery), ELM (California State University Entry-Level Mathematics Test), CBEST (California Basic Educational Skills Test), CSET (California Subject Examinations for Teachers), GMAT (Graduate Management Admission Test), MCAT (Medical College Admission Test), PCAT (Pharmacy College Admission Test), PRAXIS, TEAS (Test of Essential Academic Skills - for Nursing School), and DAT (Dental Admission Test).
When I was an undergrad student, I also tutored a couple of students in a Spanish (grammar) class and they went up 2 letter grades from a D to a B!
Archie
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Archie's subjects
Discrete Math
I am qualified to tutor in Discrete Math because I am a mathematician (specifically, a number theorist). Discrete Math includes a number of distinct areas of study such as mathematical logic, set theory, number theory, combinatorics, graph theory, and mathematical relations. My graduate work was in number theory and graph theory. I also took combinatorics in grad school. I tutored a high school student in Discrete Math recently.
Differential Equations
I am qualified to tutor in Differential Equations because I took the Differential Equations course at USD as an undergrad. I was also a Teaching Assistant for the Differential Equations course at UCSD for several quarters. I am currently tutoring a student in Partial Differential Equations.
SAS
I am qualified to tutor in SAS because I have been using SAS since 1999. I worked as a SAS programmer for several companies. I am the vice president of a local SAS Users Group.
CBEST
I am qualified to tutor in CBEST (Math) because the skill areas being tested are estimation, measurement statistical principles, computation, problem solving, numerical, and graphic relationships. These skill areas are well within my capabilities as a mathematician. I have tutored students in similar tests such as SAT Math and TEAS (Math).
ISEE
I am qualified to tutor in ISEE (Math) because the skill areas being tested are found in arithmetic through pre-calculus. These skill areas are well within my capabilities as a mathematician. I have tutored students in ISEE (Math). I use the Socratic or inquiry method of teaching so that students can arrive at their own conclusions and build knowledge.
MATLAB
I am qualified to tutor in MATLAB because I used it while I was in grad school. I used MATLAB to calculate the eigenvalues of the adjacency matrices of the graphs for my dissertation. I also used it in college for plotting graphs in Calculus 3.
TEAS
I am qualified to tutor in TEAS (Math) because the skill areas being tested are basic math skills such as whole numbers, fractions, decimals, ratios, proportions, percents, geometry, measurement, probability, statistics, equations, inequalities, exponents, polynomials, and radicals. These skill areas are within my capabilities as a mathematician. I have tutored students in tests such as SAT Math, GRE Math, and TEAS (Math).
Mathematica
I am qualified to tutor in Mathematica because I used it while I was in grad school. I used Mathematica to plot graphs for my dissertation. I also used it in college for plotting graphs in Calculus 3.
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