FOUNDATIONS → HIGH SCHOOL
Foundations & school math
Clear explanations and deliberate practice to make essential skills stick.
- Arithmetic & pre-algebra
- Algebra I & II
- Geometry & trigonometry
- Precalculus
PRIVATE TUTORING / LOS ANGELES & ONLINE / ALL AGES
Math. Physics.
Understood.
Go beyond the steps.
Build the understanding to tackle what’s next.
YOUR TUTOR / JOSEPH OLKHA
Serious about the subject.
Personal about the teaching.
4+ years helping students learn. UCLA astrophysics undergraduate. Associate degree in mathematics, earned with high honors.
01 / ACADEMIC FOUNDATIONUCLA Astrophysics
02 / TEACHING EXPERIENCE4+ years in tutoring
Get to know Joseph01 / SUBJECTS
Meet the material.
Find your footing.
For all ages, from first foundations to college coursework and adults returning to learning.
JOSEPH’S FAVORITE TO TEACHBig ideas. Clear connections.
AP → COLLEGE
Calculus & college math
Connect the concepts behind the symbols, then learn how to use them.
- AP Calculus AB & BC
- Calculus I, II & III
- Linear algebra
- Differential equations
HIGH SCHOOL → COLLEGE
Physics
Turn a word problem into a physical picture and a plan you can explain.
- Algebra- & calculus-based physics
- Mechanics: motion, forces & energy
- Electricity & magnetism
- Waves, optics & thermodynamics
Another topic or advanced course? Send your material or syllabus so we can confirm the right fit.
Let’s make a plan for your learning.
Share your subject, goals, and preferred times. I’ll help you find the right fit.
A LITTLE CURIOSITY GOES A LONG WAY
Big-looking equations.
Ideas you can see.
Choose an example below. Move a slider, make a prediction, and watch the idea take shape.
CHOOSE AN INTERACTIVE EXAMPLE
01 / CALCULUS · JOSEPH’S FAVORITE
A slope you can move.
What happens to the slope as you move across a parabola? Make a prediction, then move the point.
f(x) = x² → f′(x) = 2x
EXPLORE THE TANGENT
−202
Think it through: where is the slope zero, and what does the curve do there?
02 / MULTIVARIABLE CALCULUS
Same point.
Different stories.
A valley from one direction. A hill from another. Turn the slice to see why a flat tangent plane can hide a saddle point.
z = x² − y²
∇f(0, 0) = (0, 0)
EXPLORE THE SADDLE
0–360°
YOUR CROSS-SECTIONz = t²
This slice curves upward: the center is its minimum.
Zero slope is only the beginning. The direction you choose reveals what happens next.
03 / ELECTRICITY & MAGNETISM
A bigger sphere. The same flux.
A charge sits inside an imaginary sphere. Increase the radius: the field gets weaker, while the sphere’s surface area grows.
∯ E · dA = Qinside / ε₀
Eᵣ = Q / (4πε₀r²)
GAUSS’S LAW · POINT CHARGESphere shown in cross-section
FIELD MAGNITUDE8.99 N/C
NET OUTWARD FLUX112.94 N·m²/C
Arrows show direction; color intensity indicates relative field strength. The dashed sphere is an imaginary surface, not a conductor.
Think it through: what changes the net flux, the sphere’s size, or the charge inside?
04 / MECHANICS
One launch.
Two kinds of motion.
Change the angle and speed, then launch. Horizontal speed stays constant while gravity changes the vertical speed.
x = v₀ cos(θ)t
y = v₀ sin(θ)t − ½gt²
Ideal motion: no air resistance, level ground, g = 9.81 m/s². Playback is slowed for clarity.
EXPLORE A PROJECTILEEqual distance scales on both axes
RANGE40.77 m
MAX HEIGHT10.19 m
FLIGHT TIME2.88 s
Think it through: at the same speed, why do 30° and 60° reach the same distance but different heights?
Want to work through your own material?
Send your classwork or a topic you’re stuck on. We can build a lesson around it.
SUPPORT THAT FITS YOUR LIFE
Your goals.
Your way to learn.
Homework, review, exam preparation, or learning something new. We’ll find a format and a plan that work for you.
Individual attention
Focused time for your questions, your pace, and a consistent plan for progress.
Learn together
Learn with classmates. Groups receive lower per-student rates, with further reductions for larger groups.
Flexible arrangements
In person at a home, library, or school by arrangement. Online is also available; I recommend in person where practical.
Thoughtful teaching. Fair, flexible pricing.
Pricing reflects the subject, format, and your family’s needs. Packages are available. We agree on the price before you book.
02 / MEET JOSEPH
Curiosity drives me.
Teaching is my passion.
I’m Joseph Olkha, a UCLA astrophysics undergraduate with an associate degree in mathematics, earned with high honors. I bring 4+ years of tutoring experience, helping students build understanding and confidence.
Calculus is my favorite subject to tutor. I’m passionate about teaching and science communication, and I also pursue independent mathematics research.
I combine Socratic questions with visuals, direct explanations, and practice. Each lesson adapts to the learner, with prepared material when shared ahead and flexibility on the day.
“My goal is for you to understand the idea, trust your reasoning, and feel ready to try the next problem.”
Tell me what you’re working on03 / HOW WE WORK
Less guessing.
More understanding.
Thoughtful preparation. Adaptable explanations. Consistent support built around your goals and the way you learn.
Start with your goals.
Share material ahead for prepared visuals and examples. Bringing questions on the day works, too.
Make the idea concrete.
Guided questions, diagrams, and worked examples help the idea click. I adapt the method and pace to you.
Put it into practice.
Try related problems and explain your reasoning. We identify the next steps and a schedule that fits.
04 / THE DETAILS
A few good
questions.
Start with a conversation.
We’ll work out the right fit together.