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
Exam Simulation
Gamification of Math
Test Strategy
Practice Tests
Test prep strategies
State-Specific Standards (USA)
Practice Drills
GCSE (UK)
Advanced Placement (AP) Program (USA)
Problem Solving
A-Levels (UK)
CoTutorAI modules
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Podcast
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Learnings
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Student types for classes
ADHD
College students
ASD
Middle School students
Home schooled
High School students
Manjunath also teaches
Algebra
Algebra 2
Arithmetic
Calculus
Calculus 2
Calculus 3
Mathematics concepts taught by Manjunath
The Tutor and Student reviewed fundamental concepts of exponents and logarithms, including converting between exponential and logarithmic forms, understanding natural logarithms and their inverse relationship with 'e', and applying laws of exponents to solve equations. They also practiced determining the domain and range of logarithmic functions and expanding complex logarithmic expressions using various properties. The session concluded with plans to continue the remaining problems in the next class.
Natural Logarithms (ln) & 'e': Inverse Powers
Solving Equations by Base Matching
Domain & Range of Logarithmic Functions
Expanding Logarithmic Expressions with Properties
Exponent-Logarithm Conversion: The Unchanging Base
Student and Tutor covered various advanced algebra topics, including graph transformations of exponential functions, calculating asymptotes, domain, and range. They also practiced compound interest problems with different compounding methods and solved exponential equations by converting to like bases. The session concluded with a review of converting between exponential and logarithmic forms, and the student was given homework to practice these concepts.
Exponential Function Graph Transformations
Domain and Range of Exponential Functions
Compound Interest Calculations
Solving Exponential Equations by Matching Bases
Converting Between Exponential and Logarithmic Forms
The Student and Tutor practiced solving various problems related to logarithms and exponents, focusing on techniques such as converting between logarithmic and exponential forms, applying laws of exponents, and correctly determining the domain of logarithmic functions. The session served as a comprehensive review in preparation for the Student's upcoming retest, indicating the completion of the covered curriculum.
Domain of Logarithmic Functions
Converting Logarithmic to Exponential Form
Essential Laws of Exponents & Logarithms
Solving for Unknown Bases or Values
Logarithm of a Number to its Own Base
The Student and Tutor focused on logarithm properties and their application to solve complex expressions, reviewing the quotient rule, power rule, and the identity log_a(a)=1. They discussed different approaches to simplifying logarithmic terms and the importance of matching bases. The Student was advised to revise the discussed formulas and practice for their next session.
Solving for Unknown Logarithms (Logarithmic to Exponential Form)
Roots as Fractional Exponents
Expressing Numbers with a Common Base
Essential Logarithm Laws
The Identity logₐa = 1
The Student and Tutor engaged in a detailed session on polynomial factorization, focusing on a cubic equation. They reviewed fundamental algebraic concepts such as variables, constants, and the degree of polynomials, then practiced factoring a cubic expression using long division and a quadratic using the splitting the middle term method. The Student was advised to provide relevant materials for future sessions to align teaching methods with their curriculum.
Classifying Polynomials by Degree
Relationship Between Degree and Solutions
Variables
Constants
and Terms
Polynomial Long Division
Factoring Quadratic Expressions (Splitting the Middle Term)
Degree of a Polynomial
Student and Tutor engaged in a detailed session on logarithms, covering essential topics such as laws of exponents, solving logarithmic equations, determining domain and range, and understanding graph transformations. They practiced applying logarithm properties like the power, product, and quotient rules to simplify expressions and convert between forms. The session aimed to solidify the Student's understanding of these core mathematical concepts.
Laws of Exponents: Roots as Fractional Powers
Converting Between Logarithmic and Exponential Forms
Determining Domain and Range for Logarithmic Functions
Logarithmic Function Transformations: Vertical and Horizontal Shifts
Logarithm Properties: The Power Rule
Logarithm Properties: Product and Quotient Rules
Logarithm Property: Logarithm of Base Equals One
Teaching tools used by tutor
Visualization & Exploration
Quizzes
Assessment
Math Games
Digital whiteboard
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