import unittest
import numpy as np
import user_code  

def _dynamic(tc, ok, ok_msg, fail_msg):
    tc._testMethodName = ok_msg if ok else fail_msg
    (tc.assertTrue if ok else tc.fail)(tc._testMethodName)

class TestCompoundInterest(unittest.TestCase):

    def test_total_and_interest(self):
        
        P = getattr(user_code, "P", None)
        r = getattr(user_code, "r", None)
        n = getattr(user_code, "n", None)
        t = getattr(user_code, "t", None)

        A_expected = P * (1 + r/n) ** (n*t)
        interest_expected = A_expected - P

        A = getattr(user_code, "A", None)
        interest = getattr(user_code, "interest_earned", None)

        reasons = []
        if A is None or not np.isclose(A, A_expected, rtol=1e-6):
            reasons.append(f"A mismatch; expectedâ{A_expected:.2f}, got {A}")
        if interest is None or not np.isclose(interest, interest_expected, rtol=1e-6):
            reasons.append(f"interest mismatch; expectedâ{interest_expected:.2f}, got {interest}")

        _dynamic(self, not reasons,
                 "PASS: A and interest_earned are correct",
                 "FAIL: " + "; ".join(reasons))

    def test_amounts_growth(self):
        P = user_code.P
        r = user_code.r
        n = user_code.n
        t = user_code.t

        years = np.linspace(0, t, t * n + 1)
        amounts_expected = P * (1 + r/n) ** (n * years)

        amounts = getattr(user_code, "amounts", None)

        ok = amounts is not None and np.allclose(amounts, amounts_expected, rtol=1e-6)
        _dynamic(self, ok,
                 "PASS: amounts growth over time is correct",
                 "FAIL: amounts array is incorrect or missing")


test_code.py

Master the mathematical foundations essential for data science. Explore core concepts in functions, calculus, linear algebra, probability, and dimensionality reduction. Build both theoretical understanding and practical coding experience to strengthen your ability to analyze data, model complex systems, and apply advanced techniques in machine learning.

Explore the foundation of mathematical functions. Learn different types of algebraic and transcendental functions, their properties, and how to implement them in Python to solve real-world problems.

Master the concepts of sets and series, from basic operations to practical applications. Gain hands-on experience implementing set operations and working with arithmetic and geometric series in Python.

Develop a solid understanding of limits, derivatives, integrals, and partial derivatives. Connect theory to practice by implementing these concepts in Python and applying them to optimization through gradient descent.

Build strong knowledge of vectors, matrices, and transformations. Learn decomposition methods and eigenvalue analysis, while reinforcing concepts with Python coding challenges and practical data science applications.

Dive into probability theory and statistics. Study conditional probability, Bayes' theorem, and statistical measures. Implement key concepts in Python, simulate distributions, and strengthen your skills through challenges and quizzes.

Challenge: Predicting Savings Growth

Solution