Alexander’s current tutoring subjects are listed at the left. You
can read more about
Alexander’s qualifications in specific subjects below.
I have a Master's degree in Applied Mathematics, and I have tutored Algebra 1 for about 8 years. I find connecting Algebra 1 topics with real world applications is one of the best ways to teach this subject. I take topics that may seem overwhelming and break them down into manageable pieces.
I have tutored algebra 2 for about 5 years, and I have a Master's degree in Applied Mathematics. Algebra 2 can be a very difficult subject, often requiring significant symbol manipulation and abstract thought. Through practice, real world concepts and careful teaching, I teach students algebraic rules and reasoning.
Calculus is one of my favorite subjects. I have taught and tutored calculus for about 6 years, and I have a Master's degree in Applied Mathematics. I tutor both differential and integral calculus, which are usually listed as calculus 1 and 2, respectively, at most high schools and colleges.
Calculus has many applications in the real world; I use these applications as part of my teaching methods. Symbol manipulation (e.g. computing derivatives or antiderivatives) is a common theme throughout calculus, and I am familiar with many tricks and methods for helping solve the variety of problems that arise in calculus. I also tutor multivariable calculus, sometimes called advanced calculus. This is sometimes also listed as calculus 3 (or higher) at the college level.
I have a Bachelor's degree in Computer Science. Many of the courses I completed for the degree were solely about programming languages. A couple examples include Java and Perl. The programming language C++ was used throughout the 4-year degree program in many classes. Part of the degree program also required studying the fundamentals of how to create a programming language; studying assembly language; and debugging code.
I have a Master's degree in Applied Mathematics. My area of expertise is partial differential equations. I taught Differential Equations courses at my university in the capacity of a Graduate Teaching Assistant.
I am familiar with a wide range of differential equations topics, including various solution methods, Laplace transforms, eigenvalue problems, initial value problems and mass-spring systems among many other topics. I particularly enjoy boundary value problems, such as the heat, wave and Laplace equations. Having been a Teaching Assistant in differential equations, I have detailed knowledge of the material that most differential equations courses cover.
I have about 4 years of experience tutoring elementary mathematics, including topics ranging from basic addition and multiplication tables to algebra. Building a strong foundation at this level is essential. I focus on teaching real world applications of elementary math, such as making change or adjusting a recipe, so that young students can make connections and see why learning this math is important.
Computers have been my passion for a long time. I have worked with Windows, Mac, Linux and Unix operating systems. I have experience with various software suites such as MS Office, Macintosh iLife and iWork and OpenOffice. I am familiar with many antivirus applications and backup software solutions. I have significant experience with many different types of computer-related hardware such as printers, mice, webcams, routers and networked drives. I also have a Bachelor's degree in Computer Science.
Geometry can be one of the most difficult areas of mathematics for students to understand. Besides the multitude of definitions and theorems involved with this subject, we also introduce the notion of proofs. I understand the difficulties involved with learning this material. I have tutored geometry for over 8 years, and I know which methods work and which ones do not.
I am familiar with the GRE math test and the math topics which form the basis of the test. I have extensive experience tutoring these subjects, and I have a master's in applied mathematics. I was required to take the GRE in order to attend graduate school. I am familiar with many test preparation techniques and study skills, all of which are very important when preparing for the GRE math test.
I have a Master's degree in Applied Mathematics. I taught Multivariable Calculus and Linear Algebra (combined course) courses at my university in the capacity of a Graduate Teaching Assistant. I have a working knowledge of many linear algebra topics, including eigenvalue problems, vector spaces and matrix properties.
Real world examples lend themselves very well to this particular subject. Many scenarios in real life are described by linear equations and thus fall under the category of linear algebra. I like to use these examples as teaching tools. Connecting the mathematics to real life can help students understand what is really happening behind the mathematics.
I have a Bachelor's degree in Computer Science, and am very familiar with multiple operating systems and hardware configurations. I've been using the Macintosh operating system for over 5 years now. I'm extremely familiar with the ins and outs of the Mac OS X software (starting with version 10.6), as well as the hardware. I routinely diagnose and fix family and friends' Mac devices when they are having problems. I also teach them how to use specific functions on their devices when needed.
I am also very familiar with the family of iOS devices (iPhone, iPod, iPad). I can provide tech support when issues arise, and advice on how to use certain functions.
I have a Bachelor's degree in Computer Science, and am very familiar with multiple operating systems and hardware configurations. I have used the Microsoft platform for years, using versions ranging from MS-DOS to the current Windows 8.1. I quite often diagnose and fix family and friends' Windows computers when they are having problems. I also teach them how to use specific functions on their devices when needed, such as setting up printers and routers.
I have tutored prealgebra for about 5 years. Prealgebra is a collection of fundamental concepts, so it is important that students have a strong foundation in this material. I use real world applications to teach this subject, since many daily tasks can be formulated as prealgebra problems.
I have tutored precalculus for about 5 years, and I have a Master's degree in Applied Mathematics. Precalculus topics typically tend to be more abstract, so relating them to real world concepts can be difficult. When possible, I do use concrete examples to make precalculus topics simpler. Practice and careful, thorough examination of precalculus topics are my traditional methods for teaching this subject.
I have tutored SAT math for about 4 years. I believe teaching how to take the SAT exam is just as important as the subject material on the exam. I like to start by reviewing concepts in mathematics, specifically ones that are typically found on the SAT. Then I introduce the method of taking the SAT exam, and I go through many tips and tricks that can be used to navigate the SAT exam successfully. If one knows the subject material and how to navigate through the exam, the results are significantly better than just knowing the material alone. Besides my experience tutoring the SAT math exam, I also have a Master's degree in Applied Mathematics.
I have tutored trigonometry for about 4 years, with even more experience tutoring trig concepts in courses such as algebra 2, precalculus and calculus. I also have a Master's degree in Applied Mathematics. Trigonometry is found throughout mathematics, especially higher level math, thus a strong foundation in the subject is very important. Since trigonometry is the study of triangles, it has a very real application to the physical world. Relating abstract concepts to real world concepts is a great method for teaching trig and one that I use often.