### Algebra 1

Algebra 1 is often the place where students first run into trouble with math. Due to the age and maturity level of students in Algebra 1, one-on-one attention from tutoring is usually very helpful and can get students back on track quickly. I have experience teaching Algebra 1 to students with a wide range of abilities.

### Algebra 2

Algebra 2 starts off slowly with mostly review of Algebra 1, but things pick up quickly. Topics like polynomials, probability, and conic sections can be challenging yet interesting. I have helped students from a variety of backgrounds with Algebra 2 classes at many different schools.

### C++

I have experience writing code in C++ for my classes and for research. I am familiar with loops, conditional statements, etc. Most of my experience with (and interest in) C++ involves numerical methods and scientific computation.

### Calculus

I have helped many students go from failing calculus to mastering the material. I have also designed lessons and created assignments for a 10-week calculus class, so I can go beyond just helping with homework.

I have spent more hours tutoring calculus than any other subject, and it is my favorite subject!

### Chemical Engineering

I can help with mass and energy balances (CHE 317 at UT), transport (353), and numerical methods/MATLAB (210 and 348). Please ask me about subjects besides these. I have a Bachelor's degree in chemical engineering. , and I graduated with a 3.9 GPA and made nearly all As in my chemical engineering classes. I am familiar with the knowledge and skills required to be successful in these classes.

### Computer Programming

I have experience using MATLAB, C++, and Java.

I have used programming languages for my coursework and for some of my graduate school research.

Most of my programming tutoring experience comes from helping with "Programming for engineers" classes.

### Computer Science

I have taken a variety of courses that involve programming in MATLAB, Java, and C++. I can help with introductory courses in computer science that teach topics like loops, conditional statements, etc. Most of my experience with programming is in scientific computing for classes and research projects.

I can also help with most topics in discrete math classes that are required for CS majors.

### Differential Equations

I took differential equations during my freshman year. I liked this class because it covers many aspects of ODEs while also introducing interesting topics like PDEs, Laplace and Fourier Transforms, etc.

During my senior year, I took an in-depth class on partial differential equations, and I continued my study of differential equations in grad school.

I can help with ODEs (M427K at UT, MATH 308 at A&M) as well as more advanced classes.

### Discrete Math

I've had experience with many of the topics in discrete math, like logic, set theory, functions, and combinatorics. Classes in discrete math are often the first time a students gets exposed to proofs - a very important tool in higher level mathematics. I enjoy using basic definitions and axioms to build up to new and interesting theorems.

### Finite Math

I have experience with all of the topics in finite math - probability, combinations/permutations, inequalities, matrices, etc. I have tutored many students taking this class and related classes with success.

### Geometry

Proofs in geometry can be very challenging for even the best students. To teach proofs, I like to start with the simplest proofs and build up slowly. This gives students a chance to see how to how proofs work before going to the more challenging proofs. I also encourage testing theorems before proving them, to see if they are true and to gain intuition.

Furthermore, I recommend organizing all of one's proofs in a single place, like a notebook. This strategy creates a resource that has many different examples of proofs, and it also helps teach organizational skills.

### Linear Algebra

I have taken linear algebra classes at both the undergraduate and graduate level. I have also used a decent amount of linear algebra in other classes and for research projects (SVD, eigenvalues, etc.)

I can tutor undergraduate linear algebra classes. Let me know what topics you're covering so that I can bring appropriate materials/practice problems.

### MATLAB

I have taken several courses that use MATLAB, including an introduction to programming course and numerical methods courses at both the undergraduate and graduate level. I have also used MATLAB to do computations for various research projects.

I have helped students taking MATLAB classes from chemical engineering, petroleum engineering, aerospace engineering, and geology departments.

### Mechanical Engineering

I can help with statics courses. I have been a teaching assistant for statics at UT for two semesters and an instructor for one semester, so I am very familiar with the entire course.

I can help with transport phenomena classes (heat transfer, fluid mechanics, mass transfer) as I took similar courses for my chemical engineering degree.

I have taken a dynamics class at UT and I am familiar with most of the topics. I am familiar with parts of solid mechanics.

### Physics

After calculus, physics is the subject that I tutor the most. I can help with algebra-based physics and calculus-based physics classes.

When I teach physics, I like to emphasize understanding the principles of physics (conservation of energy, newton's second law) and using those principles to write equations. With this approach, students can set up and solve their own equations rather than relying on memorizing solutions written by someone else.

### Precalculus

Depending on the school and the level of the class, precalculus can cover many different topics of varying difficulty. Algebraic manipulation, functions, trigonometry, vectors, and many other subjects are important for classes that come after precalculus (like calculus!)

I am familiar with all of the topics in precalculus, and I can motivate the topics by explaining when they are used in other math classes.

### Probability

I am familiar with all probability topics taught in high school classes and in undergraduate probability classes. I can help with upper division probability classes like M 362K at UT and MATH 411 at A&M, and I can also help students with the actuarial exam covering probability.

Topics include counting, axioms of probability, set logic, conditional probability, distributions, etc. For certain topics like counting and conditional probability, I encourage solving the problems using intuitive arguments and seeing how those arguments can compare to a more rigorous or logical approach.

### SAT Math

When I help with SAT Math, I like to focus on several things.

One topic of interest is specific flavors of problems - there are strategies for the common types of problems (weird symbols as operations, algebraic manipulation of systems, geometry, etc.) that show up all the time. I also like to focus on converting problem statements to mathematical equations or expressions.

I also recommend 1 or 2 practice tests per week over the course of at least a month. Starting one week out wont work!

### Statistics

I took an engineering statistics class in college, and I have used statistics for other classes/projects. I have a good understanding of probability, linear regression, inference, etc.

I can help with AP statistics at the high-school level and introductory statistics at the college-level.