All of
Fassil’s current tutoring subjects are listed at the left. You
can read more about
Fassil’s qualifications in specific subjects below.
Algebra 1
Some of the topics I can help you with in algebra 1 are real numbers and operations on them; variables and constants in algebra; manipulating algebraic expressions; commutative, associative and distributive laws; equations and principle of equivalence; solving linear equations; relations and functions; graphing; point-intercept form; solving inequalities; systems of equations; exponents and radicals; factoring; simple word problems.
Algebra 2
We will cover the following topics and more in algebra 2: equations and inequalities; linear equations and functions; quadratic equations and factoring; completing the square; quadratic formula; rational functions; exponential and logarithmic functions; sequences and series; trigonometric functions; graphing; polynomials and polynomial functions; conic sections; counting methods and probability; binomial distributions.
Calculus
I can help you with a variety of topics in calculus, including but not limited to the following: limits; continuity; the derivative as limit; chain rule; product rule; quotient rule; differentiation of polynomials, rational functions, exponentials, logarithms, trigonometric functions and their inverses; implicit differentiation; mean value theorem and its applications; Riemann sums and the definite integral; integration by parts, change of variables, integrals of common functions; relationship between integration and differentiation; solving maximum and minimum problems; problems in physics and engineering; surfaces of revolution; sequences and series; definition of convergence; ratio test; elementary differential equations - first order equations and linear second order equations.
The following topics from calculus 2 and calculus 3 can also be covered:
Partial differentiation, directional derivatives, total derivative, vector and scalar fields, tangent planes, matrix form of chain rule, line integrals, the gradient, multiple integrals, Green's theorem in the plane, surface integrals, divergence theorem, Stokes' theorem, generalized Green's theorem, the curl and divergence of a vector field, systems of differential equations, parametric representation, extrema and Lagrange multipliers, partial differential equations, etc.
Geometry
I can help you in topics such as using postulates to give proofs, constructions, Pythagoras theorem, parallelism, perpendicularity, congruence, similarity, perimeters, areas, volumes, radians, triangles, quadrilaterals, general polygons, circles, trigonometry, Cartesian coordinates, distance formulas, and more.
Microsoft Excel
I can help you with a variety of topics in Excel. If you are completely new to Excel, I will teach you the Excel environment and elementary concepts and neat features of Excel, including entering data versus formulas, absolute versus relative cell referencing, populating cells easily, formatting tricks, using multiple sheets, etc.
Beyond the elementary operations, I can also teach you some of the more powerful capabilities of Excel, including creating charts, using the mathematical, financial, and statistical functions, table manipulation and lookup functions, embedding complex logic into formulas, conditional formatting, etc.
Precalculus
I can help you with a variety of topics in precalculus math, including: rational functions and their graphs; asymptotes; complex numbers; complex conjugates; complex plane; roots of unity; de Moivre's theorem; conic sections; parabola, ellipse, hyperbola, ellipse, circle; polar coordinates; logarithms and exponents; natural logarithms; vectors: dot product, cross product; parametric equations; functions and their inverses; trigonometric and inverse trigonometric functions; matrices and determinants; spherical coordinates; tangent line.
Statistics
I can help with numerical and descriptive measures; probability theory; discrete and continuous distributions, including binomial, Poisson, and normal distributions; sampling distributions; confidence interval estimation; hypothesis-testing and one-sample and two-sample tests; inference for proportions; linear regression; multiple regression; analysis of variance; using Excel or R for statistics.