Calculus for Cognitive Scientists

Part I. Introduction

1. Introductory Remarks
James K. Peterson

Part II. Review

2. Linear Algebra
James K. Peterson

3. Numerical Methods Order One ODEs
James K. Peterson

4. Multivariable Calculus
James K. Peterson

Part III. The Main Event

5. Integration
James K. Peterson

6. Complex Numbers
James K. Peterson

7. Linear Second Order ODEs
James K. Peterson

8. Systems
James K. Peterson

9. Numerical Methods Systems of ODEs
James K. Peterson

Part IV. Interesting Models

10. Predator–Prey Models
James K. Peterson

11. Predator–Prey Models with Self Interaction
James K. Peterson

12. Disease Models
James K. Peterson

13. A Cancer Model
James K. Peterson

Part V. Nonlinear Systems Again

14. Nonlinear Differential Equations
James K. Peterson

15. An Insulin Model
James K. Peterson

Part VI. Series Solutions to PDE Models

16. Series Solutions
James K. Peterson

Part VII. Summing It All Up

17. Final Thoughts
James K. Peterson

Part VIII. Advise to the Beginner

18. Background Reading
James K. Peterson

Keywords: Engineering, Computational Intelligence, Theoretical, Mathematical and Computational Physics, Mathematical Models of Cognitive Processes and Neural Networks, Artificial Intelligence (incl. Robotics), Computer Imaging, Vision, Pattern Recognition and Graphics