Math 121/201 Home Page
Math 121, Section 201 Problems, Answers, Handouts
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- Warnings
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- Tables of Formulae
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- Tables of integrals you should know or be able to derive quickly
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Problem Sets
- Problem Set I
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- Problem Set A
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- Problem Set II
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- Problem Set B
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- Problem Set III
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- Problem Set C
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- Problem Set D
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- Problem Set IV
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- Problem Set E
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- Problem Set V
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- Problem Set F
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- Problem Set G
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Notes
- A Careful Area Computation
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- The Definition of the Integral
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- Substitution
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- Substitution Examples
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- Cylindrical Shells Example
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- Approximating a Function Near a Specified Point (error in integral form)
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- Trig Substitutions
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- Integrating sec x and sec3 x
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- Torque
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- Centroid Example
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- Partial Fractions Examples
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- Roots of Polynomials
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- The Partial Fractions Decomposition
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- The Form of Partial Fractions Decompositions
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- Complex Numbers and Exponentials
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- Simple Numerical Integrators - Derivation
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- Simple Numerical Integrators - Error Behaviour
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- Simple Numerical Integrators - Determining Step Size
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- Error Formulae for Taylor Polynomials
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- Computation of Pi.
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More Notes
- Trig Functions
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- The Cosine Law and Addition Formulae
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- Approximating a Function Near a Specified Point (error in mean value theorem form)
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- The RC Circuit
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- The RLC Circuit
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- Spreadsheet implementation of Simpson's Rule
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- Linear Regression
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- Richardson Extrapolation and Romberg Integration
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- Simple ODE Solvers - Derivation
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- Simple ODE Solvers - Error Behaviour
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- Simple ODE Solvers - Variable Step Size Methods
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- Error Control for the Polar Area Formula
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Transparencies used in class
- Substitution Rules
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- Substitution Examples
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- Logistic Growth
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- Numerical Integration
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- A Divergent Area
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- The Ramp
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Links