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New Book:"Exploring Mathmematics with Scientific Notebook", Published by Springer Verlag, ISBN #981-3083-88-3. Co-authored with  Professor Jonathan Lewin . The topics range from college algebra, precalculus, calculus, differential equations, linear algebra, advanced calculus and etc.
Table of Contents:  (Wei-Chi Yang and Jonathan Lewin)

Chapter 1. Getting to Know Scientific WorkPlace

          1.1. Scientific WorkPlace: A Brief Introduction
          1.2. Some Elementary Exercises
               1.2.1. Operations with Algebra And Trigonometry
               1.2.2. Solving Equations and Inequalities
               1.2.3. An Application:
               Calculus Operations
          1.3.Making Definitions
               1.3.1 Some Examples of Definitions
               1.3.2 Evaluating A Function at a Column of Numbers
               1.3.3 Iterations of Functions
          1.4.Graphs in Scientific WorkPlace
               1.4.1. Drawing and Revising Graphs
               1.4.2. Multiple Rectangles Plots
               1.4.3. Implicit Plots: Some Conic Sections; A Smiling Face
               1.4.4. Polar Plots: A Simple Polar Plot; A Complicated Polar Plot.
               1.4.5. Parametric Plots
               1.4.6 .Exploring A Parametric Curve
               1.4.7. 3D Parametric Plots
                    A Parametric Cone with Maple and Mathematica
                    Drawing The Cone with Maple
                    Drawing The Cone with Mathematica
                    A Parametric Sphere
                    A Knotted Tube
                    A Mobius Band (with an animation)
               1.4.8. Some Miscellaneous Exercises

Chapter 2. Derivatives

          2.1. Objective
               2.1.1. A Graphical Approach to The Derivative
               2.1.2. A Numerical Approach to The Derivative
               2.1.3. An Algebraic Approach to The Derivative
               2.1.4. Some Exercises
               2.1.5. Using Multiple Plots to Illustrate Derivatives
               2.1.6. A Real World Problem.
Chapter 3. Riemann Sums
          3.1. Introduction
          3.2. The Approximating Sums
          3.3. A Simple Example
          3.4. A More Complicated Example
          3.5. A Convergent Improper Integral
          3.6. Remark
          3.7. An Indefinite Integral
          3.8. The Fundamental Theorem of Calculus
          3.9. Using the Graphs of Riemann Sums
 
 

Chapter 4. Calculating Volumes

          4.1. Rotation of A Graph about An Axis
          4.2. Applications of double integrals.
               A Region Bounded by Planes
               A Region Bounded by Two Surfaces
               Describing A Region with Cylindrical Polar Coordinate

Chapter 5. Sequences and Series

          5.1. Infinite Series with Scientific Workplace
               5.1.1. Example
               5.1.2. Example
               5.1.3. Example
               5.1.4. Exercise
               5.1.5. Exercise
               5.1.6. Example
               5.1.7. Exercise
               5.1.8. Exercise
Chapter 6. Fixed Point Thorems

          6.1. Objective:
               6.1.1. The Existence Theorem
               6.1.2. Existence and Uniquness Theorem
               6.1.3. Fixed Point Iteration Theorem and Algorithm.
               6.1.4. Example
               6.1.5. Remark
Chapter 7. Logistic Growth

          7.1. Discrete model
          7.2. Continuous Model
Chapter 8. Rate of Convergence

          8.1. Example
Chapter 9. Multivariable Calculus

          9.1. Optimization:
               9.1.1. Theorem
               9.1.2. Theorem
               9.1.3. Example
               9.1.4. Example
          9.2. Lagrange Multipliers
               9.2.1. Theorem
               9.2.2. Example
               9.2.3. Example
               9.2.4. Example
Chapter 10. Maclaurin Series:
 

Chapter 11. Linear Algebra with Scientific Workplace

          11.0. Introduction
               11.0.1. Using the Matrices Menue:
               11.0.2. Some Exercises on Matrix Operations
          11.1. Characteristic Polynomial and Minimum Polynomial
               11.1.1. Definition of A Characteristic Polynomial
               11.1.2. Definition of A Minimum Polynomial
          11.2. Link with Maple
Chapter 12. Markov Chains

          12.0 Definitions and Theorems
               12.0.1. Definition of Transition Probability
               12.0.2. Definition of A Transition Matrix
               12.0.3. State Vectors of A Markov Process
               12.0.4. Theorem
               12.0.5. Example
          12.1. Limiting Behavior
               12.1.1. Definition of a Regular Transition Matrix
               12.1.2. Theorem
               12.1.3. Theorem
               12.1.4. Theorem
               12.1.5. Example
               12.1.6. Remark
          12.2. Rabbits and Foxes
               12.2.1. Example
Chapter 13. Some Curve Fitting Problems

          13.1. Objective
               13.1.1. Traditionally:
               13.1.2. Example
               13.1.3. Innovative way by using Statistics Package
Chapter 14. An Application to The Natural Logarithm

          14.1. Introduction
Chapter 15. Limits of Functions:

          15.1. Example
          15.2. Example
Chapter 16. Maximizing A Probability Function

          16.1. Remark
          16.2. Exercises:
Chapter 17. A Function with A Positive Derivative

          17.1. Objective:
               17.1.1. Theorrem
Chapter 18. Fourier Polynomials

          18.1. An animation
          18.2. Exercise
Chapter 19. An Area Problem

          19.1. Equal Areas:
               19.1.1. Remark
Chapter 20. Differential Equations:

          20.1. Exact Method:
          20.2. Laplace Method:
          20.3. Series Method:
          20.4. Numerical Methods
          20.5. Graphical Solutions to initial-Value Problems
          20.6. Exercises:
Chapter 21. Application to The Theory of Chaos

          21.1. An Example:
               21.1.1. Case 1: Proposition
               21.1.2. Case 2: Proposition
Chapter 22. Sequences of Functions

          22.1. Objective
               22.1.1. Theorem: Uniform Convergence And Continuity
               22.1.2. Example
               22.1.3. Example
               22.1.4. Example
               22.1.5. Example
               22.1.6. Exercise
Chapter 23. The Integral Test

          23.1. Objective
               23.1.1. The Integral Test: Derivative Form
               23.1.2. Corollary
               23.1.3. Exercise
          23.2. Integral Test and Abel's Test
               23.2.1. Theorem: Abel's Test
Chapter 24. Nowhere Differentiable Functions

          24.1. Objective
          24.2. Experimenting the graphs of partial sums
               31.2.1. Remark
Chapter 25. Application to Fourier Series

          25.1. Comparisons of Absolutely Convergent Trigonometric Series
               25.1.1. Example
               25.1.2. Theorem