Manjunath Bandi
Engineer turned to educator equipped with strong fundamental and complex problem solving abilities. Let's get the learning started.
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Manjunath Bandi
Bachelors degree
/ 55 min
Manjunath - Know your tutor
I'm a post graduate engineer turned to teacher, with over two years of experience in teaching mathematics to middle school, high school and college students. Most of my engineerings studies have greatly helped me in understanding the fundamental of Mathematics and Physics which made me to take a leap towards teaching. The frequent use of complex calculations in credit courses have made me look at Mathematics as a puzzle more than as a subject. The numerous perspective of undestanding the very same thing is what makes this subject interesting for me. The approach can be different but following the fundamental will get you to the same destination, just like any other puzzle game. I help students identify and realize their weak areas and analyze them in order to give the remedial measures helping them proceed without hurdles. Most often it's not the memory power that will dominate but the logical reasoning and ability to think. That's exactly why Maths should be interesting. Over the years, I have found right examples and right methods that will quickly help the students in understanding and arriving at the solutions. Learning Mathematics should be fun ljust like a puzzle game. Let's get the fun started! Happy learning!
Meet Manjunath
Manjunath graduated from PES University, Bengaluru
Specialities of your tutor
Practice Drills
Gamification of Math
GCSE (UK)
Homework help
Math Tricks and Hacks
Practice Tests
Mental Math
State-Specific Standards (USA)
Problem Solving
CoTutorAI modules
Summary
Podcast
Quiz
Learnings
Flashcard
Spotlight
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1-yr validity
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Student types for classes
ADHD
ASD
High School students
College students
Manjunath also teaches
Algebra
Algebra 2
Arithmetic
Calculus
Calculus 2
Calculus 3
Mathematics concepts taught by Manjunath
The Student and Tutor engaged in an extensive Mathematics session focusing on algebraic problem-solving. They worked through quadratic and cubic equations using the quadratic formula, factorization, and grouping techniques, as well as simplifying radical and rational algebraic expressions. The session extended beyond the usual duration to cover more problems.
Solving Quadratic Equations: Formula & Alternative Methods
Simplifying Radical Expressions (a√b Form)
Solving Polynomial Equations by Factoring
Simplifying Rational Algebraic Expressions
The Student and Tutor practiced solving quadratic equations using various methods, including factoring by identities, taking common factors, splitting the middle term, and applying the quadratic formula. They also discussed more direct approaches for simpler quadratic forms. The Tutor offered to share the solved problems as practice slides for the Student's revision.
Factoring: Difference of Squares (a² - b²)
Solving Quadratic Equations by Isolating the Squared Binomial
Solving Simple Quadratic Equations by Square Root Method
Solving Quadratic Equations using the Quadratic Formula
Solving Quadratic Equations by Splitting the Middle Term
Factoring: Taking Common Terms
The Student and Tutor practiced solving various quadratic equations and factoring algebraic expressions. They focused on methods like splitting the middle term, identifying common factors, and applying algebraic identities. The Student worked through several problems, and they discussed continuing their session tomorrow.
Factoring Quadratic Equations (ax² + bx + c = 0)
Determining Signs of Factors for Middle Term Split
Factoring by Grouping (Pre-grouped Expressions)
Factoring Using the Difference of Squares Identity
Solving Quadratic Equations by Rearranging and Factoring
The Student and Tutor reviewed solving algebraic equations, starting with a linear equation that resulted in an identity. This led to a detailed discussion of different number systems (natural, whole, integers, rational, irrational, and real numbers). Subsequently, they practiced solving several complex fractional algebraic equations, focusing on techniques for finding LCMs, creating like fractions, and cross-multiplication. The Student expressed a desire to increase the pace of future sessions due to an upcoming test.
Core Principles of Solving Linear Equations
Special Solution Types & Precision in Algebra
Solving Equations with Fractional Expressions
Understanding the Number System Hierarchy
The Student and Tutor extensively practiced core concepts in coordinate geometry, including applying the distance and midpoint formulas to various sets of coordinates. They also worked on simplifying complex algebraic expressions involving fractions and solved a multi-step linear equation for a variable, with the plan to resume the remaining problems in the next scheduled class.
Solving Linear Equations with Distribution
Simplifying Algebraic Expressions
Simplifying Radical Expressions
Distance Formula between Two Points
Cartesian Coordinates: Locating Points
Midpoint Formula for Line Segments
The Tutor and Student worked through various mathematics problems, focusing on fraction operations (addition, subtraction, multiplication, division) and the concept of LCM. They also reviewed plotting points, understanding quadrants in a coordinate system, and solving linear equations by substitution. The Student was encouraged to practice the concepts covered.
Fraction Arithmetic: Division and LCM
Linear Equations and Solutions
Coordinate Systems and Quadrants
Order of Operations (BODMAS/BMAS)
Fraction Arithmetic: Subtraction and Multiplication
Teaching tools used by tutor
Quizzes
Visualization & Exploration
Practice worksheets
Math Games
Digital whiteboard
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