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UNIT 1
6 lessonsCalculus
1. Limits and continuity
Study lesson2. Single-variable differentiation
Study lesson3. Single-variable integration
Study lesson4. Multivariable calculus
Study lesson5. Vector calculus
Study lesson6. Series and convergence
Study lessonUNIT 2
6 lessonsLinear Algebra
1. Systems of equations
Study lesson2. Matrices
Study lesson3. Determinants
Study lesson4. Vector spaces
Study lesson5. Eigenvalues and eigenvectors
Study lesson6. Orthogonality
Study lessonUNIT 3
6 lessonsDiscrete Mathematics
1. Logic
Study lesson2. Sets and relations
Study lesson3. Combinatorics
Study lesson4. Graph theory
Study lesson5. Recurrence relations
Study lesson6. Boolean algebra
Study lessonUNIT 4
6 lessonsProbability
1. Random variables
Study lesson2. Discrete distributions
Study lesson3. Continuous distributions
Study lesson4. Expectation and variance
Study lesson5. Joint distributions
Study lesson6. Bayes theorem
Study lessonUNIT 5
6 lessonsStatistics
1. Estimation
Study lesson2. Confidence intervals
Study lesson3. Hypothesis testing
Study lesson4. ANOVA introduction
Study lesson5. Linear regression
Study lesson6. Non-parametric methods
Study lessonUNIT 6
5 lessonsDifferential Equations
1. First-order ODEs
Study lesson2. Second-order ODEs
Study lesson3. Systems of ODEs
Study lesson4. Laplace transforms
Study lesson5. Numerical solutions
Study lessonUNIT 7
5 lessonsComplex Numbers
1. Complex plane
Study lesson2. Polar form
Study lesson3. De Moivre theorem
Study lesson4. Roots
Study lesson5. Complex functions introduction
Study lessonUNIT 8
5 lessonsNumerical Methods
1. Root finding
Study lesson2. Interpolation
Study lesson3. Numerical differentiation
Study lesson4. Numerical integration
Study lesson5. Error analysis
Study lesson