Paul Dawkins
Paul's Online Notes: Algebra: Lines
Detailed math tutorial features notes and examples that discuss graphing lines and introduces the concept of slope, the standard form of the line, the point-slope form, slope-intercept form, and parallel and perpendicular lines.
Paul Dawkins
Paul's Online Notes: Algebra: Applications of Quadratic Equations
Detailed math tutorial features notes and examples that review applications involving solving a quadratic equation including distance/rate problems and work rate problems.
Paul Dawkins
Paul's Online Notes: Algebra: Transformations
Detailed math tutorial features notes and examples that take a look at vertical and horizontal shifts of graphs as well as reflections of graphs about the x and y-axis, often called transformations.
Paul Dawkins
Paul's Online Notes: Algebra: Partial Fractions
Detailed math tutorial features notes and examples that take a look at the process of partial fractions and finding the partial fraction decomposition of a rational expression.
Paul Dawkins
Paul's Online Notes: Algebra: Preliminaries: Radicals
Detailed math tutorial features notes and examples that define radical notation and simplified radical form while relating radicals to rational exponents and showing how to rationalize the denominator, It also gives the properties of...
Paul Dawkins
Paul's Online Notes: Algebra: The Definition of a Function
Detailed math tutorial features definitions and examples that take a look at relations and functions, function notation, the domain and range of a function, and piecewise functions.
Paul Dawkins
Paul's Online Notes: Calculus Ii: Integration Techniques
The resource examines various integration techniques. Topics investigated are integration by parts, partial fractions, comparison test, and trigonometric substitutions. Class notes, definitions, and examples with detailed solutions are...
Paul Dawkins
Paul's Online Notes: Calculus Iii: Surface Integrals
The resource examines surface integrals. Topics investigated are parametric surfaces, surface integrals, Stokes? theorem, and the divergence theorem. Class notes, definitions, and examples with detailed solutions are included. The notes...
Paul Dawkins
Paul's Online Notes: Algebra & Trig Review
The tutorial reviews algebra and trigonometric topics needed in Calculus. Topics examined are solving equations, rational expressions, absolute value, solving trigonometric functions, exponentials, and logarithms. Class notes,...
Paul Dawkins
Paul's Online Notes: Calculus I: Limits
Learners explore limits. Topics investigated are continuity, limits at infinity, limit properties, tangent lines, and rates of change. Class notes, definitions, and examples with detailed solutions are included. The class notes are...
Paul Dawkins
Paul's Online Notes: Differential Equations
The tutorial explores differential equations. Topics examined are first order differential equations, second order differential equations, Laplace transforms, Fourier series, higher order differential equations, and systems of...
Paul Dawkins
Paul's Online Notes: Differential Equations: First Order Differential Equations
The tutorial explores first order differential equations. Topics examined are linear equations, separable equations, Bernoulli differential equations, equilibrium solutions, Euler?s method, and intervals of validity. Class notes,...
Paul Dawkins
Paul's Online Notes: Calculus I: Proof of Various Limit Properties
The tutorial proves some of the basic properties and facts about limits. Topics discussed are limit properties, triangle inequality, continuity, and limits at infinity. Class notes, definitions, and examples with detailed solutions are...
Paul Dawkins
Paul's Online Notes: Calculus I: Proof of Various Derivative Properties
The tutorial examines various derivative facts, formulas, and properties. Topics discussed are the definition of derivative, implicit differentiation, logarithmic differentiation, chain rule, and power rule. Class notes, proofs, and...
Paul Dawkins
Paul's Online Notes: Algebra: Polynomial Functions
Students investigate how to sketch and find solutions to higher degree polynomials. Topics explored are dividing polynomials, roots of polynomials, graphing polynomials, and finding zeroes of polynomials. Class notes, definitions, and...
Paul Dawkins
Paul's Online Notes: Calculus I: Derivatives
Learners examine derivatives. Topics investigated are product rule, chain rule, derivatives of trigonometric functions, the definition of the derivative, and related rates. Class notes, definitions, and examples with detailed solutions...
Paul Dawkins
Paul's Online Notes: Calculus I: Applications of Derivatives
Learners examine applications of derivatives. Topics investigated are rates of change, the mean value theorem, optimization problems, critical points, linear approximations, and Newton?s method. Class notes, definitions, and examples...
Paul Dawkins
Paul's Online Notes: Calculus I: Proofs of Derivative Applications Facts
The tutorial consists of proofs of derivative applications. Topics discussed are Fermat?s theorem, mean value theorem, and Rolle?s theorem. Class notes, definitions, and examples with detailed solutions are included. The class notes are...
Paul Dawkins
Paul's Online Notes: Calculus I: Constants of Integration
The resource examines the constant of integration. Class notes, methods, and examples with detailed solutions are included. The notes are available in pdf format.
Paul Dawkins
Paul's Online Notes: Calculus Iii: Applications of Partial Derivatives
The resource examines applications of partial derivatives. Topics investigated are tangent planes, linear approximation, gradient vector, and Lagrange multipliers. Class notes, definitions, and examples with detailed solutions are...
Paul Dawkins
Paul's Online Notes: Differential Equations Second Order Differential Equation
The tutorial explores second order differential equations. Topics examined are mechanical vibrations, the reduction of order, fundamental sets of solutions, nonhomogeneous differential equations, and undetermined coefficients. Class...
Paul Dawkins
Paul's Online Notes: Calculus I: Applications of Integrals
The tutorial investigates applications of integrals. Topics discussed are average function value, area between two curves, volumes of solids of revolution, and work. Class notes, definitions, and examples with detailed solutions are...
J Coffman
Joseph Coffman's Lecture Notes: Solving Systems of Equations Algebraically
The lesson explores solving systems of equations algebraically. Topics discussed are the elimination method, substitution method, addition property, and special cases. Examples with detailed solutions and an assessment are included.
J Coffman
Joseph Coffman's Lecture Notes: 2 X 2 Matrices, Determinants, Inverses
Learners investigate matrices, determinants, and inverses. Topics include the identity matrix and inverse of a matrix. The resource consists of examples with detailed solutions and a quiz.