Prof. Keely's Math Online Lecture Notes
Clark College, Vancouver WA
Copyright © 2000 Sally J. Keely. All Rights Reserved.

Lecture Notes ToC

These lecture notes are intended for students currently enrolled in my online math classes. They list topics of importance, comments, cautions, and link to supplemental sites.

bulletElementary & Intermediate Algebra Lecture Notes
bulletCollege Algebra Lecture Notes
bulletTrigonometry Lecture Notes
bulletCalculus Lecture Notes
Disclaimer and Copyright Information: These notes are dynamic and may be altered or improved while the course is in progress. They are provided as a courtesy not an obligation. Access to them may be revoked at any time for any reason. By accessing these materials you agree to strictly abide by the terms and conditions of use. Violators will be prosecuted according to the Digital Millennium Copyright Act, the Berne Convention, and other applicable statutes.

The brief lecture notes are extensively elaborated upon in my e-books available for under $20 each:
* GOLDen Mathematics: Elementary Algebra
* GOLDen Mathematics: Intermediate Algebra
* GOLDen Mathematics: College Algebra
* GOLDen Mathematics: Trigonometry
* GOLDen Mathematics: Calculus I-II

bulletElementary & Intermediate Algebra Lecture Notes
bulletThe Basics
bulletEquations and Inequalities
bulletGraphs and Functions
bulletLines - Graphs and Equations
bulletLinear Systems
bulletPolynomials
bulletRational Functions
bulletRadical Functions
bulletSolving Equations including Quadratic, Rational, and Radical
bulletFunctions and Graphs including Parabolas
bulletExponential and Logarithmic Functions
 
bulletCollege Algebra Lecture Notes
bulletEquations and Inequalities
bulletFunctions and Graphs
bulletPolynomial and Rational Functions
bulletExponential and Logarithmic Functions
bulletSystems and Matrices
bulletConic Sections
bulletSequences and Series
 
bulletTrigonometry Lecture Notes
bulletThe first two lectures are not password protected:
Lesson 1.1: Angles, Degrees, and Special Triangles
Lesson 1.2: Angles in the Circle Diagram
bulletThe remaining lectures are password protected and linked from the class calendar.
 
bulletCalculus Lecture Notes
bulletDerivative and Integral Formula Sheet
bulletParts 1-3 -> Math 151
bulletPart 4: Antiderivatives
  1. Antiderivatives & Indefinite Integrals (4.8 -> Math 151)
  2. Riemann Sums, Definite Integrals, and Area Under the Curve (5.1-5.3 -> Math 151)
  3. The Fundamental Theorem of Calculus (5.4 -> Math 151)
  4. Integration by Substitution: Indefinite Integrals (5.5 -> Math 151)
  5. Integration by Substitution: Definite Integrals (5.6 ex1 ex2 ex3)
bulletPart 5: Geometry
  1. Area: Between Two Curves (5.6 ex1 ex2 ex3 ex4 ex5 ex6)
  2. Volume: Slicing Methods (6.1)
  3. Volume: Shell Method (6.2) WRK2
  4. Arc Length (6.3 ex1 ex2 ex3 ex4 ex5 ex6)
  5. Areas of Surfaces of Revolution (6.4 ex1 ex2a ex2b ex2c)
bulletPart 6: Physics
  1. Work (6.5)
  2. Fluid Pressure and Fluid Force (6.5)
  3. Moments and Centroids (6.6) WRK3
bulletPart 7: Integration Techniques
  1. Integrals Resulting in Logarithms (7.1)
  2. Integrals Resulting in Inverse Trig Functions (ex1 ex2 ex3 ex4 ex5 ex6 ex7)
  3. Hyperbolic Trigonometric Functions (7.3) WRK1
    Hyperbolic Trig Function Identity and Formula Sheet
  4. Integration by Parts (8.1 ex1 ex2 ex3 ex4 ex5 ex6 ex7) WRK4
  5. Trigonometric Integrals (8.2 ex1 ex2 ex3 ex4 ex5 ex6 ex7 ex8)
  6. Trigonometric Substitutions (8.3)
  7. Partial Fractions - Review from PreCalc
    Partial Fractions (8.4 ex1 ex2 ex3 ex4) WRK5
  8. Integration by Tables (8.5)
  9. Numeric & Electronic Integration (8.6 -> math 151)
bulletPart 8: The Calculus of Infinity
  1. Indeterminate Forms and L'Hopital's Rule (4.5)
  2. Improper Integrals (8.7) WRK6
bulletPart 9: Parametric, Polar, and Conic Curves
  1. Parametric Equations - Review from PreCalc (11.1)
    Calculus of Parametric Curves (11.2 ex1 ex2 ex3) WRK7
  2. Polar Equations - Review from PreCalc (11.3-11.4)
    Calculus of Polar Curves (11.4-11.5 ex1 ex2) WRK8
  3. Conic Sections - Review (Links) from PreCalc (11.6)
    Polar Equations of Conic Sections (11.7 ex1 ex2 ex3 ex4 ex5 ex6 ex7) WRK9
bulletPart 10: Infinite Series (math 153)
bulletPart 11: Vectors and the Geometry of Space (math 153)
bulletPart 12: Vector-Valued Functions (math 153)
bulletPart 13: Functions of Several Variables (math 254)
bulletPart 14: Multiple Integration (math 254)
bulletPart 15: Vector Analysis (math 254)

Originally written: 2006-06-10
Last revision: 2010-03-09 11:44 AM

Copyright © 2000 Sally J. Keely
All Rights Reserved.
www.InteGreat.ca/NOTES

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