Calculus

Calculus 1 (MTH 1309/1321)

Resource - Week 3: Limits, Continuity, IVT, Derivatives

Resource - Week 4: Chain Rule, High Order Derivatives, Trig Derivatives

Resource - Week 5: Chain Rule, High Order Derivatives, Trig Derivatives

Resource - Week 6: Implicit Differentiation, Inverse Trig Functions, log and ln Derivatives

Resource - Week 7: Related Rates, Linear Approximation, Critical Points

Resource - Week 8: Optimization, Mean Value Theorem, First and Second Derivative

Resource - Week 9: Riemann Sums, Definite Integrals, Indefinite Integrals

Resource - Week 10:  Rolle's Theorem, Sketching Graphs

Resource - Week 11: Understanding Antiderivatives, Antiderivative Process, Fundamental Theorem of Calculus 1

Resource - Week 12: U-substitution, Rules of U-substitution, Finding C

Resource - Week 13: Displacement, Net and Total Change, Integrating Inverse Trigonometry

Resource - Week 14: Final Review

Calculus 2 (MTH 1322)

Resource - Week 3: (In)Definite Integral, Integrand, U-Substitution, Integration by Parts, Trig Identities

Resource - Week 4:  Partial Fraction Decomposition

Resource - Week 5:   L’Hopital’s Rule, Improper Integral, Limit, Convergence, Divergence

Resource - Week 6: Average Value, Mass, Density, Volume, Cross Section

Resource - Week 7: Solid of Revolution, Cross Section, Disk Method, Shell Method

Resource - Week 8: Force, Mass, Acceleration, Work, Energy, Arc Length, Surface Area

Resource - Week 9: Differential Equation, Particular Solution, General Solution, Initial Condition, Separation of Variables, Exponential Growth/Decay

Resource - Week 10: Sequence, Convergence, Divergence, Squeeze Theorem, Bounded, Monotonic, Partial Sum, Linearity, Geometric Series, p-Series, Comparison Test, Algebraic Limit Laws

Resource - Week 11:  Absolute Convergence, Conditional Convergence, Divergence, Alternating Series, Ratio Test, Root Test

Resource - Week 12: Power Series, Center, Interval of Convergence, Radius of Convergence, Geometric Series, Term-by-Term, Power Series Expansion

Resource - Week 13: Approximation, Agreement to Order n, Taylor Polynomial, Centeredness, Maclaurin Polynomial, Error Bound

Resource - Week 14: Taylor Series Expansion, Maclaurin Series, Binomial Series, Euler’s Formula

Resource - Week 15: Final Review

Calculus 3 (MTH 2321)

Resource - Week 3: Vector Analysis

Resource - Week 4: Arc Length, Speed, Vector-Valued functions

Resource - Week 5: Partial Derivatives, Tangent Planes, Differentiability

Resource - Week 6: Gradient, Directional Derivatives, Optimization

Resource - Week 7: Double Integrals, Iterated Integrals, Horizontally/Vertically Simple

Resource - Week 8: Triple Integrals, Integrals in Polar/Spherical/Cylindrical Coordinates

Resource - Week 9: Change of Variables, Vector Fields, Curl, Divergence

Resource - Week 10: Scalar Line Integrals, Vector Line Integrals, Conservative Vector Fields

Resource - Week 11: Parameterized Surfaces, Surface Integrals, Surface Integrals of Vector Fields

Resource - Week 12: Green’s Theorem, Boundary Curves

Resource - Week 13: Stokes’ Theorem, Surface Independence

Resource - Week 14: Divergence Theorem

Resource - Week 15: Final Review