Are you struggling to relate Algebra and Geometry to Algebra II? I'm here to be your Oracle!
I've tutored this subject for many years and I enjoy doing so! I've studied ABSTRACT Algebra in College and Graduate school, where I learned WHY algebra works, not just HOW it works; there is a rich history in the development of this wonderful subject.
Topics include, but are not limited to:
Polynomials, Factoring, Roots, Exponentials/Logarithms, Complex Numbers, Parabolas, Circles, Ellipses, Hyperbolas, Angle measures, Trigonometry, Trigonometric Identities, Sequences, Rational Exponents, Radical Functions and Expressions, Functions, Systems of Functions/Inequalities, Quadratic Functions, Matrices.
In College, I studied Calculus both intensively and extensively. Intensively by studying Calculus I, II, III and Differential Equations; but, more importantly, by understanding the theoretical and proof-based foundation of the subject through Advanced Calculus I-II courses. I studied the subject extensively by seeing its application in courses such as Numerical Analysis, Complex Variables, Calculus-based Physics and Calculus-based Statistics.
In Graduate School, I explored the theoretical aspect of Calculus more thoroughly by taking Mathematical Analysis I-II, Measure/Integration Theory, and Complex Analysis. The rigorous treatment and proof-approach of n-dimensional Calculus, through the tools of logic, has taught me why Calculus works, not just how it works.
If you are taking any subjects of Calculus that I've mentioned above, please contact me and I'll be more than happy to provide you with some very helpful insight into this fundamental and timeless subject.
I've taken Differential Equations in college and graduate school: Ordinary Differential Equations as an undergraduate, Partial Differential Equations as a graduate student.
I can help you in the following areas:
1). Classification of Differential Equations; Initial-Value Problems, Boundary-value Problems, and Existence of Solutions.
2). Exact Differential Equations and Integrating Factors; Separable Equations; Linear and Bernoulli Equations; Orthogonal and Oblique Trajectories.
3). The Homogeneous Linear Equation with Constant Coefficients; The Method of Undetermined Coefficients; Variation of Parameters; The Cauchy-Euler Equation.
4). Power Series Solutions About an Ordinary or Singular Point; Bessel's Equation and Bessel Functions.
5). The Laplace Transform.
If any of these topics leave you scratching your head, please reach out; I'd be glad to provide clarity!
I've studied Discrete Mathematics in College when I took Discrete Math I-II in preparation for graduate school. I'm finding a lot of computer science majors are required to take this course. Usually mathematical induction is the topic which leaves the student baffled and eager to seek a supplemental voice; I'm here to be that voice!
Discrete Math I-II topics that I can help you with are the following:
Basic Logic, Set Theory, Relations, Quantifiers, Algorithms, Counting Methods, De Morgan’s Law, Logical Connectives, Truth Tables, and Relationships Between Statements, Recurrence Relations, Graph Theory, Trees, Boolean Algebra, Automata, and Grammars.
I've studied finite mathematics at the undergraduate level as well as the graduate level. In College, I took Discrete Math I-II, Linear Algebra, Finite Geometry, and Number Theory.
Also, as a M.S. student, I took Abstract Algebra I-II which included a rigor treatment of finite groups, rings and fields. I've tutored my peers in these subjects as well.
The title of this subject can be misleading: it sounds easy but it's actually more abstract than it sounds. It can be difficult to conceptualize some topics in this subject, but don't worry I am here to help! Engineering majors who are required to take this class will find it to be one of their more difficult math classes.
In College, I was instructed in this subject using Gilbert Strang's book Linear Algebra, 3rd edition, Wellesley-Cambridge Press. I highly recommend this book.
If you are struggling with any of the following areas, please reach out -I will deliver clarity and comfort:
2). Solving Linear Equations
3). Vector Spaces and Subspaces
6). Eigenvalues and Eigenvectors
I've studied Basic Logic and Mathematical Logic. I will be attending the University of Amsterdam in the Fall of 2015 for a M.Sc. degree in Mathematical Logic and Computation, so please feel free to reach out if you have any questions or struggles.
For Basic Logic, I can provide insight into: Set Theory, Relations, Quantifiers, Algorithms, Counting Methods, De Morgan’s Law, Logical Connectives, Truth Tables, and Relationships Between Statements.
For Mathematical Logic, I can provide insight into: Terms and Formulas in First-Order Languages, Induction in their Calculus, Structures and Interpretations, Satisfaction and Consequence Relations, Formalizations, and Sequent Calculus.
I've taken a variety of Philosophy classes which I thoroughly enjoyed: Philosophy of Nature/Man, Ethics, Philosophy of Mind, Roman Philosophy, Greek Philosophy, and Epistemology. I did my Honors College Thesis on the Epistemology of the Geometry of Space. If you are looking for someone to give you an objective, or subjective, point of view for one of your class, please send me a message. I read a lot of philosophical books in my leisure time. Let's have a dialogue!
Do you have a son or daughter who struggles with fractions? Operations with fractions? Or trouble finding the volume of a solid?
No need to fret, I can help break down the problems into smaller parts that are much more understandable and fun to learn. Whether it's finding surface areas, percentages, polynomials, inequalities, or number sequences, I can supplement the problems one's struggling with so there's complete clarity and enjoyment in learning this subject.