🎓 Advanced Math (College, AP, IB, AICE)

Service Description

🎓 Advanced Math Tutoring Sessions (College, AP, IB, AICE) Master College-Level and Advanced High School Math with Expert Guidance Our advanced tutoring sessions are designed for students enrolled in college-level mathematics, Advanced Placement (AP), International Baccalaureate (IB), or Cambridge AICE courses. We provide in-depth instruction, conceptual clarity, and targeted test prep for high-performance in rigorous math programs. _____________________________ 🔹Pre-Calculus (College, AP, AICE, IB ) Functions (polynomial, rational, exponential, logarithmic) Trigonometric functions and identities Law of Sines & Law of Cosines Conic sections Sequences, series, and sigma notation Limits and introduction to continuity Parametric equations and polar coordinates Vectors and complex numbers Graph transformations and inverse functions _____________________________ 🔹 Calculus I (College, AP, AICE, IB ) Limits and continuity Derivatives (rules, applications, and implicit differentiation) Curve sketching and motion problems Optimization and related rates Definite and indefinite integrals Fundamental Theorem of Calculus Area under a curve and net change U-substitution and basic integration techniques _____________________________ 🔹 Calculus II (College, AP, AICE, IB ) Techniques of integration (by parts, partial fractions, trigonometric) Improper integrals Parametric and polar functions Infinite sequences and series Convergence tests (nth-term, integral, comparison, ratio, etc.) Power series and Taylor/Maclaurin expansions Differential equations (basic first-order types and slope fields) Applications of integration in volume, arc length, and surface area _____________________________ 🔹 Calculus III (Multivariable Calculus (College, AICE, IB ) Partial derivatives and gradient vectors Multiple integrals (double and triple) Vector-valued functions and space curves Line and surface integrals Green’s, Stokes’, and Divergence Theorems Parametric surfaces Lagrange multipliers Applications in physics and engineering contexts _____________________________ 🔹 Linear Algebra (College & Sections of IB/AICE) Vectors, vector spaces, and subspaces Matrix operations and inverse matrices Systems of linear equations and row reduction Determinants and rank Eigenvalues and eigenvectors Diagonalization Linear transformations and their matrix representations Applications in geometry, computer science, and physics _____________________________ Statistics (College-Level, AP, IB, AICE)