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PhD Mathematics | Calculus, Algebra & Differential Equations
Tooba M.

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Hourly Rate: $60
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About Tooba

Bio

Hello! My name is Tooba, and I hold a PhD in Applied Mathematics. I have four years of tutoring experience with middle and high school students and have also taught Calculus and Algebra to college students, helping them make significant progress in their understanding and academic performance. My academic journey has been rooted in mathematics from an early age. In Grade 10, I was awarded a scholarship for being the highest-scoring girl in Mathematics across my entire division. In addition to...

Hello! My name is Tooba, and I hold a PhD in Applied Mathematics. I have four years of tutoring experience with middle and high school students and have also taught Calculus and Algebra to college students, helping them make significant progress in their understanding and academic performance. My academic journey has been rooted in mathematics from an early age. In Grade 10, I was awarded a scholarship for being the highest-scoring girl in Mathematics across my entire division. In addition to mathematics, I work on data analysis projects, which allows me to connect mathematical concepts with practical quantitative applications.

I specialize in Differential Equations, Calculus, and Algebra. My teaching approach is patient, structured, and tailored to each student's individual needs. I first identify where a student is struggling and then break complex concepts into clear, manageable steps. Rather than simply giving answers, I explain the reasoning behind each solution and encourage students to solve problems independently. This helps students develop strong conceptual understanding, analytical thinking, accuracy, and problem-solving skills. These skills are also valuable for competitive tests such as the SAT and ACT, where students need to recognize problem patterns, select appropriate strategies, and work efficiently under time constraints.

For Differential Equations, I can help with topics including first- and higher-order equations, initial-value problems, integrating factors, characteristic equations, Laplace transforms, systems of differential equations, and power series solutions. For Calculus and Algebra, I focus on both conceptual understanding and practical problem-solving. Whether you are preparing for an exam, working through challenging homework, preparing for the SAT or ACT, or strengthening your mathematical foundation, I adapt lessons to your goals and pace. Please feel free to contact me to learn more or schedule a lesson. I look forward to helping you succeed in mathematics.

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Education

Quaid e azam university
Applied Mathematics
COMSATS University Islamabad
PhD

Additional Languages

Hindi
Urdu
Punjabi

Policies

Schedule

Tooba hasn’t set a schedule.

Approved Subjects

Algebra 1

Algebra 1

With a PhD in Mathematics and four years of college teaching experience, I have a strong foundation in algebra and extensive experience explaining mathematical concepts clearly to students. I help Algebra 1 students understand equations, inequalities, functions, polynomials, systems of equations, exponents, and other core topics through step-by-step instruction and practical examples. My teaching approach focuses on building conceptual understanding and problem-solving skills rather than relying on memorization. I work patiently with students at their individual level and have helped students make meaningful progress in their mathematics skills, confidence, and academic performance.
Algebra 2

Algebra 2

I hold a PhD in Mathematics and have four years of college-level teaching experience, giving me a strong background in both foundational and advanced algebra. I help Algebra 2 students understand topics such as quadratic equations and functions, polynomial and rational expressions, exponential and logarithmic functions, systems of equations, sequences and series, and complex numbers. My teaching approach focuses on understanding the reasoning behind each concept rather than simply memorizing formulas, using clear explanations and step-by-step problem solving. I work patiently with students at their individual level and have helped students make meaningful progress in their mathematics skills, confidence, and academic performance.
Calculus

Calculus

I hold a PhD in Mathematics and have four years of college-level teaching experience, with a strong background in calculus and advanced mathematics. I tutor students in topics including limits and continuity, derivatives and their applications, integration and applications of integrals, techniques of integration, sequences and series, differential equations, and multivariable calculus. I can also help students prepare for college calculus courses, exams, homework, and challenging problem sets. My teaching approach emphasizes conceptual understanding, clear step-by-step explanations, and effective problem-solving strategies. Rather than simply showing students how to obtain an answer, I help them understand the reasoning behind each method so they can approach unfamiliar problems independently. I adapt my lessons to each student's level and course requirements, helping students strengthen their mathematical foundation, build confidence, and succeed in college-level calculus.
Differential Equations

Differential Equations

I hold a PhD in Mathematics and have four years of college-level teaching experience, with extensive experience teaching and explaining differential equations. I help students with first- and second-order differential equations, separable and linear equations, initial-value problems, systems of differential equations, Laplace transforms, power series solutions, and applications such as mass-spring systems and related mathematical models. My teaching approach emphasizes understanding the underlying concepts and solution methods through clear, step-by-step explanations rather than memorizing procedures. I work patiently with students at their individual level and have helped students develop stronger problem-solving skills, improve their understanding of differential equations, and gain confidence in tackling challenging mathematical problems.
Linear Algebra

Linear Algebra

I hold a PhD in Mathematics and have four years of college-level teaching experience, with extensive experience teaching the mathematical concepts that form the foundation of linear algebra and higher-level mathematics. I help students understand linear algebra topics including vectors, matrices, systems of linear equations, matrix operations, determinants, vector spaces, subspaces, linear transformations, bases and dimensions, eigenvalues and eigenvectors, inner products, orthogonality, and diagonalization. My teaching approach emphasizes conceptual understanding, clear step-by-step explanations, and problem-solving strategies so students understand not only how to solve a problem, but why the method works. I work patiently with students at their individual level and help them build confidence in solving linear algebra problems, understanding abstract mathematical concepts, and preparing effectively for college-level coursework and exams.
Prealgebra

Prealgebra

I hold a PhD in Mathematics and have four years of college-level teaching experience, with a strong background in developing students’ mathematical foundations and problem-solving skills. I help Pre-Algebra students build confidence with topics such as integers, fractions, decimals, ratios and proportions, percentages, expressions, equations, inequalities, basic geometry, and introductory functions. My teaching approach emphasizes clear, step-by-step explanations and conceptual understanding, so students learn how and why mathematical procedures work rather than simply memorizing them. I am patient and attentive to each student’s individual needs, and I have seen students make meaningful progress in their math skills, confidence, and ability to solve problems independently.
Precalculus

Precalculus

I hold a PhD in Mathematics and have four years of college-level teaching experience, with extensive experience teaching the mathematical concepts that form the foundation for calculus and higher-level mathematics. I help students understand precalculus topics including functions, polynomial and rational functions, exponential and logarithmic functions, trigonometry, complex numbers, sequences and series, and analytic geometry. My teaching approach emphasizes conceptual understanding, clear step-by-step explanations, and problem-solving strategies so students understand not only how to solve a problem, but why the method works. I work patiently with students at their individual level and have helped students make meaningful progress in their mathematics skills, confidence, and academic performance.
SAT Math

SAT Math

I hold a PhD in Applied Mathematics and have over four years of experience teaching and tutoring mathematics. I help SAT students strengthen their skills in algebra, advanced math, problem solving, data analysis, and other key areas tested on the SAT Math section. My approach combines clear explanations with practical test-taking strategies, including recognizing question patterns, working efficiently under time limits, and avoiding common mistakes. I focus on helping students improve both their scores and their confidence so they can approach the SAT with a clear and effective strategy.
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Hourly Rate: $60
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