Luis Armando Casso Echalar
Patient Math Tutor Who Makes Complex Topics Simple Through Visuals and Real-Life Examples
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Luis Armando Casso Echalar
Diploma degree
/ 55 min
Luis Armando - Know your tutor
My name is Luis Casso, students can call me Lucho. I've been an unofficial tutor for three years already, and my passion lies in teaching mathematics to anyone who needs help. I helped students from various academic levels, ranging from the last year of high school to undergraduate college students. I can help with any topic up to Calculus I, and I will find time for teaching and making sure that every student who requires my help finds all the sources they need. As a math major student, I got to understand how maths could be harder for any student and how that made every high school student to have some sort of rejection towards the topic, but I personally wanted to become a math teacher because I think that everyone can learn math, and math can be used to teach not only as a school subject, but a way to understand the world and how it works. That is why teaching is my passion.
Luis Armando graduated from American International School of Bolivia
Specialities of your tutor
Problem Solving
Test Strategy
Learning Plans
Math Tricks and Hacks
Test prep strategies
CoTutorAI modules
Summary
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1-yr validity
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Student types for classes
College students
Mathematics for Adults
Middle School students
Elementary School students
Home schooled
Anxiety or Stress Disorders
High School students
Mathematics for Beginners
Class overview
My teaching style goes hand in hand with making sure students understand the why behind things. Every formula has a reason to exist, and students need to grasp the logical process behind the terminology for a more solid kind of learning — rather than just memorizing formulas they’ll likely forget. I’m very patient and interactive when teaching, and I always try to go at a pace that students find comfortable. The topics I can teach are varied in content, and I find it easy to identify areas of mathematics that require specific logical processes. At the same time, I can teach different strategies and tricks so that students learn through mnemonic devices or visual examples — helping them understand how to approach any exercise or problem they encounter. I have experience working with several students and have been able to connect with them in different ways to help them understand the problems presented. Once they become comfortable with the concepts, they reach the solutions much more quickly.
Luis Armando also teaches
Calculus
College Algebra
College Math
Elementary School Math
Geometry
High School Math
Mathematics concepts taught by Luis Armando
The student and tutor reviewed logarithmic differentiation, practicing how to apply logarithm properties to simplify a complex function before differentiation. They discussed the process of implicit differentiation and the chain rule. No specific homework was assigned, but the session was preparation for an upcoming exam.
Logarithmic Differentiation Strategy
Chain Rule in Differentiation
Logarithm Properties in Differentiation
The Tutor and Student reviewed key calculus topics for an upcoming final exam, including anti-derivatives, areas and volumes using Riemann sums, disk method, and washer method. They worked through several example problems together, and the Student practiced applying these techniques.
Integration Methods for Volumes of Revolution
Applications of Antiderivatives: Position
Velocity
and Acceleration
Approximating Integrals: Riemann Sums
Definite Integrals and Natural Logarithms
The student and tutor reviewed concepts related to integral calculus, including calculating the area between curves and the volume of solids of revolution using the washer method. They worked through several example problems to solidify understanding and prepare for upcoming assessments.
Area Between Curves
Integration with Respect to y
Volume of Revolution: Washer Method
Finding Integration Limits for Volumes
The session focused on indefinite integrals and the substitution rule in calculus, with the tutor explaining the technique using composite functions and demonstrating its application through examples. The student and tutor also practiced evaluating integrals over infinite intervals to determine convergence or divergence, and worked through various indefinite integral problems, including those involving trigonometric and inverse trigonometric functions.
Substitution Rule in Integration
Indefinite Integrals and Convergence
Separating Integrals
Inverse Trigonometric Integrals
The student and tutor reviewed and practiced calculating the areas of various geometric shapes, including squares and circles, and composite shapes. They worked through problems involving finding the area of shaded regions and utilized formulas for squares and circles. The tutor assigned additional practice exercises to prepare for an upcoming math test.
Composite Area Calculations
Calculating Area of Basic Shapes
Area of Shapes Composed of Grids
Area of a Semi-Circle
The Tutor and Student reviewed calculus concepts, focusing on definite integrals, the Fundamental Theorem of Calculus, integration techniques including substitution, and the geometric interpretation of integrals as areas. They practiced converting limits of summation to integrals and evaluating integrals using properties and geometric formulas, with plans to continue lessons weekly until the final exam.
Integration by Substitution (u-Substitution)
Geometric Interpretation of Integrals (Area of Shapes)
Properties of Integrals
Interpreting Integrals as Areas
Fundamental Theorem of Calculus
Teaching tools used by tutor
Visualization & Exploration
Graphing Tools
Lesson Planner
Solvers & Calculators
Digital whiteboard
Interactive lessons
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Chat for quick help
Mobile joining
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