Joseph M. Mahaffy SDSU
Math 124: Calculus for the Life Sciences Fall 2016
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Khan Academy Lectures

Khan Academy has developed many lectures with the help of the Gates Foundation. Below are topics relevant to this course, which will provide alternative lecture development.

  1. Linear Models
    1. Equations of Lines
    2. Inverse of Linear Equations
    3. Unit Conversions
  2. Quadratics
    1. Quadratic Equations
    2. Vertex Form
    3. Height with Time
  3. Least Squares Analysis
    1. Least Squares Regression
  4. Function Review
    1. Functions and Graphs
    2. Inverse Functions
  5. Other Functions and Asymptotes
    1. Polynomial Functions
    2. Rational Functions and Asymptotes
    3. Square Root Functions
  6. Allometric Modeling
    1. Exponential and Logarithmic Function
    2. Geometric Sequences
    3. Logarithms
    4. Exponent Expressions
  7. Trigonometry
    1. Basic Trigonometry
    2. Trigonometry
    3. Modeling with Trigonometry
  8. Discrete Dynamical Systems
    1. Exponential Modeling
    2. Compound Interest and e
  9. Linear Discrete Dynamical Models
  10. Introduction to the Derivative
    1. Introduction to Derivatives
  11. Velocity and Tangent Lines
    1. Secant and Tangent Lines
    2. Derivatives
    3. Visualizing Slopes
  12. Limits, Continuity, and the Derivtive
    1. Limits
    2. Continuity
    3. Derivative
  13. Rules of Differentiation
    1. Using Derivatives
    2. Finding the Max/Min
  14. Applications of the Derivative
    1. Applications
    2. Critical Points
    3. Concavity
  15. Derivative of ex and ln(x)
    1. Derivative of ex and ln(x)
  16. Differentiation of Trigonometric Functions
    1. Derivatives of Sine and Cosine
  17. Product Rule
    1. Product Rule
  18. Quotient rule
    1. Quotient Rule
  19. Chain Rule
    1. Chain Rule
    2. Chain Rule for Functions
    3. Normal Distribution
  20. Optimization
    1. Optimization
  21. Nonlinear Dynamical Systems: Part 1 Logistic Growth
  22. Nonlinear Dynamical Systems: Part 2 Other Models
  23. Introduction to Differential Equations
    1. Introduction to Differential Equations
    2. First Order Differential Equations
  24. Linear Differential Equations
    1. Population Model
    2. Newton's Law of Cooling
  25. Numerical Methods for Differential Equations
    1. Euler's Method
  26. Differential Equations and Integration
    1. Indefinite Integrals
    2. Integral Methods
  27. Separation of Variables
    1. Separable Differential Equations
  28. Integration by Substitution
    1. Logistic Growth Differential Equation
  29. Riemann Sums and Numerical Integration
    1. Numerical Techniques
    2. Riemann Sums
  30. Definite Integrals
    1. Fundamental Theory of Calculus
  31. Qualitative Analysis for Differential Equations
Copyright © 2015 Joseph M. Mahaffy.