Complex Numbers 1: FundamentalsΒ π (PDF)
Complex Numbers 2: Fractional PowersΒ π (PDF)
π Exercises Β πΒ Solutions
Vectors 1: Cartesian CoordinatesΒ π (PDF)
Vectors 2: Vector ProductsΒ π (PDF)
Calculus 2: IntegrationΒ π (PDF)
Calculus 3: Summations & SeriesΒ π (PDF)
π ExercisesΒ Β Β π Solutions - Limits, Derivatives Β πΒ Β Solutions - Integrals, Summations, Series
Statistics 2: Curve Fitting: Linear and Non-Linear Curves π (PDF)
Statistics 3: Curve Fitting: Polynomial Interpolation and Spline Fit π (PDF)
Ordinary Differential Equations 1: Symbolic Β π (PDF)
π Β Exercises: Modeling with ODEs Β πΒ SolutionsΒ Β
Β π Exercises: Symbolic and Physics Examples Β πΒ Solutions 1 Β Β πΒ Solutions 2Β
Ordinary Differential Equations 2: Numeric Β π (PDF)
Ordinary Differential Equations 2N: Numeric - Parameterized Solutions π (PDF)
Ordinary Differential Equations 2N: Numeric - Animate and Explore π (PDF)
Ordinary Differential Equations 2N: Numerical Methods π (PDF)
Ordinary Differential Equations 3: Systems of ODEs Β π (PDF)
Ordinary Differential Equations 4: Boundary Value Problems π (PDF)
Linear Algebra 2: Linear Transformations Β π (PDF)
Partial Differential Equations 1: Solving Symbolic Equations (Part 1) (Part 2)Β Β π (PDF)
Partial Differential Equation Example: Heat Equation π (PDF)
Partial Differential Equation Example: Heat Equation in 2D π (PDF)
Partial Differential Equation Example: Wave Equation in 2D π (PDF)
Vector Calculus 2: Vector & Vector Field Operationsπ (PDF)
Vector Calculus 3: Differentiationπ (PDF)
Vector Calculus 4: Integrationπ (PDF)
Vector Calculus 5: Fundamental Theoremsπ (PDF)
Advanced Mathematics: Orthogonal Functions π (PDF)
π ExercisesΒ Β π SolutionsΒ Β Β Β
Advanced Mathematics: Dirac delta function π (document)
Stratospheric Jump: 1D ODEs solved numerically π (PDF)
Baseball Trajectory: 2D ODEs solved numerically π (PDF)
Geometric Eigenvalues: Eigenvalue problem π (PDF) π(worksheet)
Numerical Integration: Plotting a function of a triple integral π (PDF)Β
π₯ (full worksheet development video)
Double Pendulum: 2D ODEs in polar coordinates π (document) π(worksheet)