Math at Andrews Courses

Discrete Math (2019)

Syllabus: Introduction to Knots & Invariants.Sharing a Sandwich Using Math - Monsky's Theorem.Magic Squares.Playfair Cypher.Pascal's Triangle + Fibonacci Sequence.Integer Partitions (Discrete Maths).Eulerian Paths and Circuits.Hill Encryption (w/Pyth…

• YouTube
• 1-2 hours worth of material
• On-Demand
• Free Online Course

Differential Geometry

Syllabus: Differential Geometry 1: Local Curve Theory.Differential Geometry 2: Curvature.Differential Geometry 3: Frenet-Serret.Differential Geometry 4: Frenet-Serret Corollaries.Differential Geometry 5: Fundamental Theorem of Curves.Differential Geometr…

• YouTube
• 4-5 hours worth of material
• On-Demand
• Free Online Course

Graph Theory

Syllabus: Making Sense of Coronavirus with Graph Theory.Graph Theory 1: Handshaking Lemma.Stand 6 ft apart! Social Distancing and Graph Theory.Graph Theory 2: Eulerian Paths & Circuits.Graph Theory 3: Hamiltonian Paths & Ore's Theorem.Graph Theor…

• YouTube
• 2-3 hours worth of material
• On-Demand
• Free Online Course

Intro to Integration

Syllabus: 1: Derivatives and Mean Value Theorem.2: Antiderivatives.3: Summing k, k^2, and k^3.4: Area Under Curve.5: Definite Integral.6: Fundamental Theorem of Calculus.7: Evaluating Integrals & u-Substitution.

• YouTube
• 3-4 hours worth of material
• On-Demand
• Free Online Course

Calculus 2 (MATH 192)

Syllabus: Section 10.6 (i).Section 10.6 (ii).Section 10.7 (i).Section 10.7 (ii).Section 10.9.Section 10.8 (ii).Section 11.1.Section 11.2.Section 11.3, 11.4.Section 11.5.

• YouTube
• 4-5 hours worth of material
• On-Demand
• Free Online Course

Differential Equations (MATH 286)

Syllabus: Section 5.6.Section 5.6 (II).Section 6.2 iii.Section 8 intro.Section 8 intro (ii).Section 8.2 8.3.Section 8.5.Section 8.4 (i).Section 8.4 (ii).Section 9.3 Polar.

• YouTube
• 4-5 hours worth of material
• On-Demand
• Free Online Course

Lit Calculus

Syllabus: Intro to Calculus: Zeno's Paradox.Definition of the Limit.Right- and Left-hand Limits.tan(x) & Vertical Asymptotes.More Vertical Asymptotes: sec^2(x).Asymptotes of a Rational Function.A Nasty Rational Function.The Limit Laws.Limit Laws &amp…

• YouTube
• 7 hours worth of material
• On-Demand
• Free Online Course

Evaluating Limits

Syllabus: Intro to Calculus: Zeno's Paradox.Definition of the Limit.Right- and Left-hand Limits.tan(x) & Vertical Asymptotes.More Vertical Asymptotes: sec^2(x).Asymptotes of a Rational Function.A Nasty Rational Function.The Limit Laws.Limit Laws &amp…

• YouTube
• 2-3 hours worth of material
• On-Demand
• Free Online Course

Determining Derivatives

Syllabus: Logarithmic Differentiation. Derivative of a^x. Derivative: Sum/Difference Rule. 17th derivative of sin(x). Rate of Change & Tangent Line. Derivative of sin(x). Limit Definition of Derivative. The Derivative as a Function. Derivative of ln(x).…

• YouTube
• 2-3 hours worth of material
• On-Demand
• Free Online Course

Applications of Differentiation

Syllabus: Extrema of Function. Extreme Value Theorem. First Derivative Test. Second Derivative and Concavity. Sketching Graph of Rational Function. Sketching the Graph of a Polynomial. L'Hospital's Rule: Zero Over Zero?. L'Hospital's Rule: Infinity Over…

• YouTube
• 2-3 hours worth of material
• On-Demand
• Free Online Course

Constructibility

Syllabus: Impossible Geometry Problems: Trisecting Angle, Doubling Cube, Squaring Circle. Constructibility 1: Compass & Straightedge. Constructibility 2: Intro to Field Extensions. Constructibility 3: Degree of Field Extension. Constructibility 4: Three…

• YouTube
• 6 hours worth of material
• On-Demand
• Free Online Course