Post-Secondary Eduation

Math for College

Choose this option if you are in any finance, business, healthcare or trades program in a public or private college and you are struggling with any aspect of mathematics. If you are in a degree program and you are struggling with university-level mathematics, choose the relevant math course.

Calculus

Choose this session if you are in any college or university calculus course, or if you are struggling with any of the following topics:

  • Limits and continuity
  • Derivatives: definition and basic rules
  • Derivatives: chain rule and other advanced topics
  • Applications of derivatives
  • Analyzing functions
  • Integrals
  • Differential equations
  • Applications of integrals

Probability and Statistics

Choose this option if you are in any college or university probability or statistics course, or if you are struggling with any of the following topics:

  • Descriptive Statistics:
    • Measures of central tendency (mean, median, mode)
    • Measures of dispersion (range, variance, standard deviation)
    • Percentiles and quartiles
  • Probability:
    • Basic probability rules and axioms
    • Probability distributions (discrete and continuous)
    • Conditional probability and independence
    • Bayes' theorem
  • Random Variables:
    • Discrete and continuous random variables
    • Probability mass functions (PMFs) and probability density functions (PDFs)
    • Cumulative distribution functions (CDFs)
    • Expected value and variance of a random variable
    • Linearity of expectation
  • Sampling Distributions:
    • Sampling from populations
    • Sampling distribution of the sample mean and proportion
  • Inferential Statistics:
    • Confidence intervals
    • Hypothesis testing
    • Type I and Type II errors
    • Power of a test
  • Regression and Correlation:
    • Simple linear regression
    • Multiple regression
    • Correlation coefficient
  • Analysis of Variance (ANOVA):
    • One-way ANOVA
    • Two-way ANOVA
  • Non-parametric Statistics:
    • Mann-Whitney U test
    • Wilcoxon signed-rank test
    • Kruskal-Wallis test
  • Probability Distributions:
    • Binomial distribution
    • Poisson distribution
    • Normal distribution
    • Exponential distribution
  • Statistical Software:
    • Introduction to statistical software (e.g., R, Python, SAS)
    • Data visualization and analysis
  • Advanced Topics:
    • Maximum likelihood estimation
    • Bayesian statistics
    • Multivariate analysis
    • Time series analysis

Linear Algebra

Choose this subject if you are in any college or university linear course, or if you are struggling with any of the following topics:

  • Vectors and Vector Spaces:
    • Definition of vectors
    • Vector operations (addition, scalar multiplication)
    • Linear combinations
    • Span of vectors
    • Subspaces
  • Matrices:
    • Matrix representation
    • Matrix operations (addition, multiplication)
    • Transpose of a matrix
    • Determinants
    • Inverse matrices
  • Systems of Linear Equations:
    • Gaussian elimination
    • Row echelon form and reduced row echelon form
    • Solutions to systems of linear equations
    • Homogeneous and nonhomogeneous systems
  • Eigenvalues and Eigenvectors:
    • Eigenvalues and eigenvectors of a matrix
    • Diagonalization of matrices
    • Characteristic polynomial
  • Linear Transformations:
    • Definition of linear transformations
    • Kernel and image (range) of a linear transformation
    • Rank-nullity theorem
  • Inner Product Spaces:
    • Dot product
    • Norms and inner products
    • Orthogonality
    • Gram-Schmidt process
  • Orthogonalization and Orthogonal Diagonalization:
    • Orthogonal matrices
    • QR factorization
    • Orthogonal diagonalization of symmetric matrices
  • Applications:
    • Least squares approximation
    • Markov chains
    • Linear programming
    • Principal component analysis
  • Abstract Vector Spaces:
    • Generalization of vector spaces
    • Dual spaces
    • Dual bases
  • Singular Value Decomposition (SVD):
    • Decomposition of a matrix into singular values and singular vectors
    • Applications in data compression and dimensionality reduction

Python Programming

Choose this option if you are struggling with programming in Python.

Data Visualization

If you are learning Power BI or Tableau and need some help, this session is for you.

Advanced Math

Choose this option if you are struggling with any upper level university math course, such as Analysis, Algebra, Topology, Number Theory, etc...

Economics

Choose this option if you are struggling with any college or university economics course.

Essay Writing

Choose this topic if you are in university or any post-secondary education and you need help with writing an essay for any of your courses.