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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.

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
11.0.2. 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
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
13.1.2. 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