University Mathematics

18+ / Undergraduate ยท A broad mathematical foundation for science, engineering, computing and economics

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UNIT 1

Calculus

6 lessons
1. Limits and continuity
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2. Single-variable differentiation
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3. Single-variable integration
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4. Multivariable calculus
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5. Vector calculus
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6. Series and convergence
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UNIT 2

Linear Algebra

6 lessons
1. Systems of equations
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2. Matrices
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3. Determinants
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4. Vector spaces
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5. Eigenvalues and eigenvectors
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6. Orthogonality
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UNIT 3

Discrete Mathematics

6 lessons
1. Logic
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2. Sets and relations
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3. Combinatorics
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4. Graph theory
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5. Recurrence relations
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6. Boolean algebra
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UNIT 4

Probability

6 lessons
1. Random variables
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2. Discrete distributions
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3. Continuous distributions
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4. Expectation and variance
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5. Joint distributions
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6. Bayes theorem
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UNIT 5

Statistics

6 lessons
1. Estimation
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2. Confidence intervals
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3. Hypothesis testing
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4. ANOVA introduction
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5. Linear regression
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6. Non-parametric methods
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UNIT 6

Differential Equations

5 lessons
1. First-order ODEs
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2. Second-order ODEs
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3. Systems of ODEs
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4. Laplace transforms
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5. Numerical solutions
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UNIT 7

Complex Numbers

5 lessons
1. Complex plane
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2. Polar form
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3. De Moivre theorem
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4. Roots
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5. Complex functions introduction
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UNIT 8

Numerical Methods

5 lessons
1. Root finding
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2. Interpolation
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3. Numerical differentiation
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4. Numerical integration
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5. Error analysis
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Calculyt

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