Mathematics Brush-Up

Course Content

Block 1

📄 Slides

• Lecture Slides 1.0
• Lecture Slides 1.1

📚 Reading

• Chapter 1: Set Theory

SetsNumber SetsMembershipSubsetsComplementsSet OperationsInterval Notation

Block 2

📄 Slides

• Lecture Slides 2.1

📚 Reading

• Chapter 2: Basic Algebra
• Chapter 4: Polynomial Factorization

Algebraic RulesFractionsExponentsIdentitiesPolynomial Factorization

Block 3

📄 Slides

• Lecture Slides 3.1
• Lecture Slides 3.2
• Lecture Slides 3.3
• Lecture Slides 3.4
• Lecture Slides 3.5

📚 Reading

• Chapter 3: Functions

Function NotationRepresentationsDomainsRangesFunction ClassesCompositionInverse Functions

Block 4

📄 Slides

• Lecture Slides 4.1

📚 Reading

• Chapter 5: Equation Solving

Linear EquationsQuadratic EquationsNon-linear EquationsRootsFactorized FormLogarithm RulesInterpretation

Block 5

📄 Slides

• Lecture Slides 5.1

📚 Reading

• Chapter 7: Limits
• Chapter 8: Differentiation

LimitsContinuitySecant LinesTangent LinesDerivativesDifferentiation RulesChain RuleExtrema

Block 6

📄 Slides

• Lecture Slides 6.1

📚 Reading

• Chapter 6: Multivariable Functions
• Chapter 9: Sequences, Sums & Products

Functions of Several VariablesLevel CurvesTracesSequencesSummation NotationProduct Notation

Block 7

📄 Slides

• Lecture Slides 7.1

📚 Reading

• Chapter 10: Mathematical Logic
• Chapter 11: Probability
• Chapter 12: Statistics

PropositionsLogical OperationsConditionalsProbability TerminologyLaw of Large NumbersData TypesGraphical SummariesDescriptive Statistics

Course Textbook

• Mathematics Brush-Up for Data Science