מתמטיקה א למדעי החיים ולכימאים חלק ג עם מוחמד טרביה

بناءً على الرسالة الأصلية والتي يُشير إليها، يبدو أنك تبحث عن موضوع ما يجمع بين الكتابة في لغة إنجليزية والقيام بها بإمكانات الكائن الطبي وأدوات البايوتكنولوجية. فيما يلي، سأقدم لك نصًا يتضاه مع الرسالة التي ذکرتها ويختار أشكال برمجية محددة لإنشاء ملف بسيق استشعاري (Jupyter Notebook) يصل إلى الإطارات المطلوبة. سيكون النص باللغة الإنجليزية، مع ملخصًا بالعربية قبل أن نقامс الكود بإمكانيات Python.

Introduction to Mathematics for Biology and Bioinformatics Students

Welcome, dear students of biology and bioinformatics, to a journey through the fascinating world of advanced mathematics. This course will value your depth of understanding and patience in mastering complex mathematical concepts that are crucial for both fields. The syllabus is structured into four parts:

Part A: Exponential Functions and Logarithms In the first notebook, we will explore the realm of exponential and logarithmic functions and solve equations involving these powerful functions.

Part B: Limits and Continuity The second notebook focuses on calculating limits, including applying L'Hôpital's rule when dealing with indeterminate forms, as well as examining trigonometric limits.

Part C: Asymptotes and Function Analysis Our third notebook delves into finding horizontal, vertical, and oblique asymptotes of functions, and conducting in-depth analyses of various functions.

Part D: Advanced Mathematical Concepts The final notebook will explore advanced topics such as differential equations, which play a pivotal role in understanding biological systems and processes.

This syllabus is designed to provide you with profound knowledge and essential tools in both fields. It emphasizes a deep understanding of the principles and applications in the world of mathematics, providing students with profound knowledge and essential tools in the subjects being studied.

Encouraging Message for Biology and Bioinformatics Students

Dear Biology and Bioinformatics Students,

As your instructor, Mr. Mohammed Tarabieh, I want to emphatically assure you that you have the potential for great success in your mathematics course. Mathematics is the language of science and a critical foundation for understanding the world around us.

Regardless of your level of math background, I firmly believe that you can excel and succeed. Seize this opportunity to explore the depths of mathematical concepts and develop your skills in this vital subject area.

Do not fear challenges; consider them opportunities for growth. Work diligently in your studies, and you will see positive results. I am here to support and assist you at every stage of your educational journey. Feel free to ask questions and seek help when needed.

Success begins with belief in yourselves and hard work. You are ready to achieve great accomplishments!

Best wishes for success in your mathematics course and in all your life endeavors.

نص بالإنجليزي:

Mathematics for Biology and Bioinformatics Students Welcome, dear students of biology and bioinformatics, to a journey through the fascinating world of advanced mathematics. This course will value your depth of understanding and patience in mastering complex mathematical concepts that are crucial for both fields. The syllabus is structured into four parts: Part A: Exponential Functions and Logarithms In our first notebook, we will delve into the realm of exponential and logarithmic functions and solve equations involving these powerful functions. Part B: Limits and Continuity Our second notebook will focus on calculating limits, including applying L'Hôpital's rule when dealing with indetermate forms, as well as examining trigonometric limits. Part C: Asymptotes and Function Analysis The third notebook will delve into finding horizontal, vertical, and oblique asymptotes of functions, and conducting in-depth analyses of various functions. Part D: Advanced Mathematical Concepts Our final notebook will explore advanced topics such as differential equations, which play a pivotal role in understanding biological systems and processes.

الكترية (Python Code):

import numpy as np
import matplotlib.pyplot as plt
from IPython import display, output

# Part A: Exponential Functions and Logarithms
display(output(lambda x: x**lambda), raw_display());

# Part B: Limits and Continuity
limit_example = np.array([0, 1], [2, 3]))
display(output(limits=((0, 1), (2, 3))))
plt.plot(limit_example[:, 0], limit_example[:, 1])

# Part C: Asymptotes and Function Analysis
# Horizontal Asymptote Example
def horizontal_asymptote(f, x0):
    return f(x0)

horizontal_asymptote_example = horizontal_asymptote(lambda x: x**1.5, 1)
output(display(display(horizontal_asymptote_example))))

# Part D: Advanced Mathematical Concepts
from scipy import dsolve
# Solving a differential equation example
def diff_eq(f, y0, dx, x0, t0, t1):
    return dsolve(f, y0, dx, x0, t0, t1)

diff_eq_example = diff_eq(lambda x, y0=1, dx=1, x0=0, t0=0, t1=1)
display(output(diff_eq_example)))

قد هذه الكود، ستضم إلى ملف استشعاري (Jupyter Notebook) يصل إلا الإطار المطار مطلوب. ستخد النص بالعرية قبل ذلك، وست قمs الكود باللغة الإنجليزية.