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- MAT 1570 Trigonometry
- MAT 1580 Pre-Calculus
- MAT 2270 Calculus and Analytic Geometry I
- MAT 2280 Calculus and Analytic Geometry II
- MAT 2290 Calculus and Analytic Geometry III

- Functions: Domain and Range
- Translations of Graphs
- Inverse Trigonometric Functions
- Reduction Formula
- Trigonometric Identities
- Unit Circle
- Conic Sections
- Completing the Square

- TBA

- Linear Equations and their Graphs
- Exponents and their Properties
- Functions: Domain and Range
- Translations of Graphs
- Composite Functions and Their Domains
- Finding Zeros of Polynomials
- Graphs of Rational Functions: Asymptotes
- Quadratic and Rational Inequalities
- Exponentials and Logarithms
- Graphing Exponential and Logarithmic Functions
- Inverse Trigonometric Functions
- Reduction Formula
- Trigonometric Identities
- Unit Circle
- Systems of Equations: Consistency and Dependency
- Conic Sections
- Completing the Square

- TBA

__Pre-Calculus Review__- Linear Equations and their Graphs
- Functions: Domain and Range
- Translations of Graphs
- Graphs of Rational Functions: Asymptotes
- Exponentials and Logarithms
- Graphing Exponential and Logarithmic Functions
- Trigonometric Identities
- Unit Circle
- Inverse Trigonometric Functions
- The Epsilon-Delta Limit Definition
- Derivation and Integration Formulas
- Derivatives Involving Absolute Values
- Implicit Differentiation and Related Rates
- Differentials and Increments
- Area by Riemann Sums

- Plotting Piecewise Functions on a Graphing Calculator
- (TI-83/84, TI-85/86, TI-89/Voyage 200, TI-Nspire, or Casio)

- Author's Website - book supplements, web links, projects, challenge problems
- Online math tutorials by Paul Dawkins at Lamar University
- On-line integration program

- Trigonometric Identities
- Unit Circle
- Derivation and Integration Formulas
- Derivatives Involving Absolute Values
- L'Hôpital's Rule
- Volumes of Solids of Revolution
- Solids of Revolution - Shell and Disk Examples
- Notes on Applications of Integration
- Work
- Partial Fractions - "Cover-Up" Method
- Improper Integrals
- Notes on First-Order Differential Equations
- Notes on Conics, Parametric Equations, and Polar Coordinates
- Parametric Equations
- Conic Sections
- Completing the Square
- Notes on Infinite Series (with tables)
- Summary of Tests for Series
- Representation of Functions by Power Series
- Notes on Vectors and the Geometry of Space (with graphs)

- Author's Website - book supplements, web links, projects, challenge problems
- Online math tutorials by Paul Dawkins at Lamar University
- Series Convergence/Divergence Flow Chart - (credit: Jamal Hassan)
- On-line integration program

- Derivative and Integration Formulas
- Notes on Vectors and the Geometry of Space (with graphs)
- Lines in Space
- Vector Methods in Three Space
- Notes on Vector-Valued Functions
- Notes on Functions of Several Variables
- Functions of Several Variables
- Limits of Functions of Two Variables
- Continuity of Functions of Two Variables
- Partial Differentiation
- Tangent Planes and Normal Lines
- Differentials and Increments
- The Chain Rule and Differentiability
- Directional Derivatives and Gradients
- Extrema of Functions of Two Variables
- Applications of Extrema of Functions of Two Variables
- Lagrange Multipliers
- Notes on Multiple Integration
- Notes on Vector Analysis

- Author's Website - book supplements, web links, projects, challenge problems
- Online math tutorials by Paul Dawkins at Lamar University
- On-line integration program