## Real-Time Help from Real Tutors

The eChat tool is an easy, fun way to connect with a tutor for math help. Just like in a video call, you can use text chat, audio, video, or screen share, plus you and your tutor can work together on a virtual whiteboard. To enter our online classroom, just click on the name of a tutor in your subject area. If you're the first student in the classroom, your tutor will say hi, and you can get started right away! If your tutor is already working with another student, just hang tight: grab a cup of coffee and check back every five minutes. A standard eChat session is about twenty minutes long, so the tutor should be with you soon.

To get started, watch the video to the right, and then head to our Log In page to sign up!

### Schedule

Due to budgetary restrictions, **the eChat tool will not be available in Winter or Spring 2017**. We sincerely apologize for any inconvenience.

### Subject Areas

Our tutors are pros. We offer great help in a variety of areas!

**Foundational Math (Academic Upgrading and Trades Math)**

- basic operations: operations on whole numbers, using fractional notation (addition, subtraction, multiplication, and division), using decimal notation (addition, subtraction, multiplication, and division), ratio and proportion, percent notation, the real number system, dimensional analysis, number systems other than base 10, order of operations, set operations, Venn diagrams, logic, t-tables, conditionals and biconditionals, solving word problems.
- algebra: linear equations, linear absolute values, absolute value inequalities, graphs of lines, functional notation, graphs of functions, graphs of polynomials, translating, shifting, and reflection of graphs, composite functions, roots of polynomials using factoring, roots of polynomials using completing the square, roots of polynomials using quadratic formula, roots of polynomials using synthetic division, roots of higher order polynomials, roots of polynomials involving complex numbers, properties of exponentials and logarithms, graphs of exponentials and logarithms, solving equations involving exponentials and logarithms, solving systems of linear equations (2 and 3 variables), simple and compound interest, amortization, solving for an unknown variable, formula manipulation.
- geometry and measurement: basic definitions (points, lines, rays, angles, triangles, types of angles, measurement of angles, congruent triangles, planes and parallel lines, circles, polygons, quadrilaterals, midpoint, slope, distance formula, theorems, postulates, and proofs, measurement (perimenter, area, surface area, volume), work.
- trigonometry: angles and their measure, trigonometric functions, right triangle trigonometry, applications in trigonometry, graphs of trigonometric functions, inverse trigonometric functions, solving trigonometric equations, verifying identities, law of sines, law of cosines, complex numbers.

**Calculus **

- definition of limits, limit theorems, L'Hopital's rule, continuity, intermediate value theorem, derivatives, chain rule, implicit differentiation, applications of derivatives, analysis of graphs, mean value theorem, min/max, related rates, definition of integrals, definite integrals, fundamental theorem of calculus, integration of polynomials, integration of exponentials and logs, integration of trigonometric functions, integration using substitution, integration using trig substitution, integration by parts, integration using partial fractions, lengths of curves, work, volume, surface area, parametric equations, polar coordinates, sequences and series, convergence test, power series, Taylor series.

**Statistics**

- graphic representations of data, measures of central tendency, measures of dispersion, measures of position, regression and correlation, combinatorics, probability random variables, probability distribution for discrete and continuous random variables, sampling and sampling distributions, central limit theorem, confidence intervals, hypothesis testing, inference concerning correlation and regression, categorical data analysis, Chi-square, contingency tables, homogeneity tests, decision theory, control charts.

**Physics**

- mechanics: 1-dimensional kinematics, 2-dimensional kinematics, Newton's three laws of motion, centripetal forces, circular motion, simple harmonic motion and damped/forced oscillators, universal gravitation, work and energy, law of conservation of energy, collisions, momentum and impulse, torque and angular momentum.
- magnetism and thermal physics: heat and temperature (scales, expansion, internal energy, and specific heat capacity), ideal gas law, kinetic theory of gases, first law of thermodynamics, heat engines, entropy, second law of thermodynamics, electric forces and fields, electric potential energy and the electric potential, capacitance and dielectrics, electric circuits (direct current and alternating current), magnetic fields, magnetic force, Lorentz force, inductance, waves and sound (oscillations, diffraction, interference), electromagnetic waves (nature, spectrum, speed), wave properties of electromagnetic radiation.
- other: optics (geometrical optics, optical instruments, reflection and refraction), special relativity, particles and waves, nuclear physics and radioactivity, fluid mechanics.