Mathematics for Introductory Science Courses:
Calculus 2: IntegrationΒ π (document)
Calculus 3: Summations & SeriesΒ π (document)
π ExercisesΒ Β Β π Solutions - Limits, Derivatives Β πΒ Β Solutions - Integrals, Summations, SeriesComplex Numbers 2: Fractional PowersΒ π (document)
π Exercises Β πΒ SolutionsStatistics 2: Curve Fitting: Linear and Non-Linear Curves π (document)
Statistics 3: Curve Fitting: Polynomial Interpolation and Spline Fit π (document)
Advanced Mathematics for Undergraduates:
Ordinary Differential Equations 1: Symbolic Β π (document)
Ordinary Differential Equations 2: Numeric Β π (document)
Ordinary Differential Equations 3: Systems of ODEs Β π (document)
Ordinary Differential Equations: Boundary Value Problems π (document)
Linear Algebra 1: Matrices & Matrix Arithmetic Β π (document)
Linear Algebra 2: Eigenvalues & Eigenvectors Β π (document)
Partial Differential Equations 1: Solving Symbolic Equations
Β Β (Extra Video)Β π (document)Partial Differential Equation Example: Heat Equation π (document)
Partial Differential Equation Example: Heat Equation in 2D π (document)
Partial Differential Equation Example: Wave Equation in 2D π (document)
Applications:
Stratospheric Jump: 1D ODEs solved numerically π (document)
Baseball Trajectory: 2D ODEs solved numerically π (document)
Double Pendulum: 2D ODEs in polar coordinates π (document) π(worksheet)
Geometric Eigenvalues: Eigenvalue problem π (document) π(worksheet)
Numerical Integration: Plotting a function of a triple integral π (document)Β
π₯ (full worksheet development video)