Common Challenges With Linear Algebra

  • Understanding Vector Spaces

    The abstract nature of vector spaces can be difficult to comprehend. We guide students in understanding this concept by using real-world examples and analogies, allowing students to visualize and internalize these abstract ideas.

  • Grasping Matrix Operations

    Matrix operations, including multiplication and inversion, can be complex. We simplify these operations by breaking them down into step-by-step procedures and providing plenty of practice exercises.

  • Navigating Linear Transformations

    Understanding the concepts and applications of linear transformations can be daunting. We make these tangible by showing how they are used in various fields, such as computer graphics and data science.

  • Solving Systems of Linear Equations

    This can be confusing, especially when it involves three or more variables. We teach methods like Gaussian elimination, graphing, and Cramer's rule to efficiently solve these systems.

  • Eigenvectors and Eigenvalues

    These are often considered one of the trickier topics in Linear Algebra. We ensure students understand their importance, provide clear explanations, and allow students to explore these concepts with various examples and applications.

  • Comprehending Abstract Concepts

    Concepts such as bases, dimension, and orthogonality are very abstract. We focus on intuitive explanations and connections to previously learned material to solidify these concepts.

Ways We Tutor Linear Algebra

  • Matrix-Based Activities

    Since matrices are a central part of Linear Algebra, we use numerous matrix-based exercises and activities. This can range from simple matrix operations to applications such as transformations, rotations, and solving linear equations.

  • Geometric Interpretation

    We use geometric interpretations to help students visualize concepts like vector spaces, linear transformations, and eigenvalues/eigenvectors. This can involve graphing vectors and transformations, or using physical models and 3D visualization tools.

  • Real-World Applications

    Linear Algebra is foundational to many fields, including computer science, physics, and data science. We show students how the concepts they are learning are used in these fields, such as how matrices are used in computer graphics, or how eigenvalues and eigenvectors are used in Google's PageRank algorithm.

  • Eigen-Exercises

    Concepts like eigenvalues and eigenvectors can be especially tricky. We use specialized exercises that focus solely on understanding and applying these concepts, as well as their relevance in various fields.

  • Understanding Abstract Spaces

    We use examples and exercises that require students to consider abstract vector spaces, like polynomial or function spaces. This can aid students in understanding the abstraction and generality of Linear Algebra.

  • Proofs and Theorems

    Understanding the theorems and their proofs can be quite important in Linear Algebra. We guide students through the logic of these proofs and emphasize the key steps and ideas

Our Linear Algebra Tutor Qualifications

  • Advanced Math Degrees

    Our Math tutors are highly skilled and knowledgeable in the subject, backed by strong academic credentials. With degrees in mathematics or related disciplines, they bring a deep understanding of mathematical concepts to the table.

  • Experience Teaching Math

    Our tutors are skilled educators who have honed their teaching methods through experience and training. They employ a variety of effective instructional strategies, adapting their approach to suit individual learning styles.

  • Friendly Personality

    Our tutors embody warmth and approachability. They foster an engaging learning environment, facilitating open communication and making students feel comfortable asking questions or expressing concerns.

Example Linear Algebra Tutoring Packages

We offer diverse and flexible options, catering to your child's unique needs and your family's schedule. Choose from ad-hoc sessions for immediate needs, to long-term plans for ongoing support.

Our most common tutoring plans:

  • Semester Support

    This package offers regular tutoring sessions for an entire academic semester, ensuring consistent support for the student. The frequency could be 1-3 times per week depending on the need.

  • Monthly Intensive

    This offers more frequent sessions over a one-month period. This could be suitable for a student who needs to catch up quickly or prepare for an important exam.

  • Ad-hoc Sessions

    For students who require tutoring on a more sporadic or as-needed basis.