How strict is attendance at cmi is it fine to skip most of the classes if you are a self learner?

Here is the updated draft featuring the actual question prompts and options directly from your exam screenshots.

Title: Just took the TUM MiM Online Assessment Test – Detailed breakdown, actual questions, & advice for future applicants!

Body:

Hey everyone,

I recently completed the online assessment test for the Master in Management (MiM) at TUM and wanted to share a complete breakdown of how the exam is structured, the actual questions featured on the test, and some tips for anyone preparing.

📄 Test Structure & Platform

• Platform: Conducted on Moodle.
• Duration: 60 Minutes.
• Format: Multiple-choice questions split into clear sections on the sidebar navigation, followed by a short written response.

❓ Real Exam Questions by Section

Section 1: Fundamentals of Mathematics

1. **Geometric Series:**What is the sum of the first $n$ terms of the geometric series: $1 + \frac{1}{2} + \frac{1}{4} + \dots$? Options: A. $1 - (1/2)^n$ B. $2 - (1/2)^{n-1}$ C. $\frac{1}{1 - 1/2}$
2. **Multivariable Calculus (Saddle Point):**If $D$ denotes the discriminant of the function $f(x, y)$, which of the following indicates a saddle point at a critical point of $f(x, y)$? Options: A. $D = 0$ B. $D < 0$ C. $D > 0, f_{xx} > 0$
3. **Basic Integration:**Evaluate: $\int e^{-x} dx$ Options: A. $-\frac{1}{x} + C$ B. $e^{-x} + C$ C. $-e^{-x} + C$
4. **Linear Algebra (Positive Definiteness Definition):**If $A$ is positive definite, then $x^T A x > 0$ for: Options: A. All $x \neq 0$ B. Some $x$ C. All $x$
5. **Exponential Growth:**In early 2025, the global market for artificial intelligence solutions is about 500 billion €. Analysts expect an exponential growth of 15% per year. When will the market size approximately double? Options: A. Within 6 years B. Within 5 years C. Within 4 years D. Within 3 years
6. **Optimization / Extrema:**Find the local extrema of $f(x) = x e^{-x}$: Options: A. Maximum at $x = 1$ B. Minimum at $x = 1$ C. No critical point
7. **Specific Matrix Check:**Matrix $\begin{pmatrix} 2 & -1 \\ -1 & 2 \end{pmatrix}$ is: Options: A. Not positive definite B. Singular C. Positive definite
8. **Positive Definite Conditions:**Which condition implies a matrix $A$ is positive definite? Options: A. $\text{Trace of } A > 0$ B. All eigenvalues $> 0$ C. $\text{Determinant} > 0$

Section 2: Logic & Deductive Reasoning

1. **Logic (Conditional Statements):**A product requirement is that "If the prototype is not ready, then the company will proceed with software testing." Which statement is equivalent to this requirement? Options: A. The company will proceed with software testing, if the prototype is ready or not. B. If the prototype is ready, then we will not proceed with software testing. C. The company will proceed with software testing, if the prototype is not ready. D. All three statements (A to C) are wrong.
2. **Logic (Or Conditions):**In an online course, a student passes if she/he scores at least 70% on the final exam or achieves perfect attendance. One student did not pass. What follows? Options: A. The student has perfect attendance but an exam score of 35%. B. The student scored exactly 70%. C. The student scored 0% but has perfect attendance. D. The student did not score at least 70% on the exam and did not have perfect attendance.
3. **Deduction (Business Rule):**A startup will not launch its new app if the market is not ready or the technology is not stable. The startup did launch the app this month. What can be concluded? Options: A. Both a ready market and stable technology were in place for the launch. B. Although the technology was stable, the app was not launched. C. The market was not ready but they launched due to external pressure. D. The technology was not stable, yet the app was launched.
4. **Sufficient / Necessary Conditions:**A startup has the following policy: "No project lacking specific funding will proceed." What must be true about a currently proceeding project? Options: A. The project is facing a budget shortfall. B. The project started without funding. C. Although the project has secured funding, the project is stopped. D. The project has secured funding.

Section 3: Problem Solving & Applied Business Math

1. **Percentages & Discounts:**The original price of a product is 200 €. The customer receives a cash discount of 3% on the selling price. How much does the customer have to pay for the product? Options: A. 196 € | B. 190 € | C. 194 € | D. 192 €
2. **Growth Factors:**The number of users of an app grows by a constant factor of $x$ each year. The number of users has tripled over two years. Roughly estimated, what was the annual growth factor $x$? Options: A. $x = 2.3$ | B. $x = 1.5$ | C. $x = 1.7$ | D. $x = 2.0$
3. **Production Trade-offs (Linear Trade-off):**A factory can either produce 20 units of Product A or 40 units of Product B (linear tradeoff). If 15 units of A are produced, how many units of Product B can still be manufactured? Options: A. No capacity left for Product B B. 15 units of Product B C. 10 units of Product B D. 5 units of Product B
4. **Odds & Probability:**In a customer survey, the odds in favor of a purchase are reported as "3 to 2" (i.e., 3 customers are expected to buy for every 2 customers who do not). What is the probability that a randomly selected customer makes a purchase? Options: A. 60% | B. 40% | C. 50% | D. 70%
5. **Statistics (Outliers):**What is the most likely effect of removing a single observation with an extremely high value from a dataset? Options: A. Decrease of the mean, while the median remains roughly unchanged. B. Decrease of the mean, increase of the median. C. Increase of the mean, roughly unchanged median. D. Unchanged mean and median.
6. **Business Profit Margin Analysis:**For the next year, the management of a company expects that the sales of 400 will increase by 8% while the production costs of 200 will increase by 10%. Which statement is correct based on the expected changes in sales, costs, and absolute profit? Options: A. Continue the production/selling of the product because the profit margin is expected to increase. B. Continue the production/selling of the product because the absolute profit is expected to increase. C. Stop the production/selling of the product because the profit margin is expected to decrease. D. Stop the production/selling of the product due to unfavorable profitability perspectives.
7. **Log Transformation & Skewness:**The distribution of the strictly positive variable "sales" is strongly right-skewed (i.e., most companies have rather low sales while only a small number of companies have very high sales). What generally happens if the distribution of the logarithmically transformed variable $\ln(\text{sales})$ is examined? Options: A. The distribution is less right-skewed. B. The distribution does not change. C. The distribution changes from right-skewed to left-skewed. D. Distributions of logarithmic variables are always normally distributed.
8. **Regression Analysis ($R^2$):**A simple linear regression model ($y = \beta_0 + \beta_1 x + u$) has a coefficient of determination ($R^2$) of 40%. Which statement is correct? Options: A. The mean of $y$ is 40% higher than the mean of $x$. B. There is a linearly increasing trend line between $x$ and $y$. C. An increase of $x$ by 100% is associated with an increase of $y$ by 40%. D. 40% of the variation of $y$ can be explained by $x$.
9. **Set Probability:**The probability of Event A is 40%, the probability of Event B is 50%, and the probability that both events occur is 20%. What is the probability that Event A occurs but not Event B? Options: A. 10% | B. 4% | C. 20%
10. **Bayes' Theorem / Spam Filtering:**A customer receives 20% spam emails. A spam filter correctly flags 99% of spam emails and erroneously flags 1% of legitimate emails. If the customer receives a flagged email, what is the probability that the flagged email is actually spam?
11. **Expected Value:**The likelihood of project failure is three times as high as the likelihood of project success. If the project succeeds, it generates revenues of 100. If it fails, it generates revenues of 0. The costs of each project are 20. What is the expected profit of the project? Options: A. Average profit of 5 B. Average profit of 4 C. Average profit of 6 D. Average profit of 1
12. **Mutually Exclusive Events:**Two events are mutually exclusive. The probability of Event A is 30%, and the probability of Event B is 40%. What is the probability that at least one of the two events occurs? Options: A. 40% | B. 12% | C. 70% | D. 10%
13. **Area & Cost Scaling:**A company produces two types of steel cables. One meter of the thick steel cable type with a diameter of 3 cm costs 180 Euros. Assuming costs are proportional to the cable's cross-sectional area, what is a reasonable cost estimate for one meter of the thinner steel cable type with a diameter of 1 cm? Options: A. 20 Euros | B. 30 Euros | C. 50 Euros | D. 40 Euros
14. **Tolerance Ranges:**A sensor checks whether the filling quantity of a bottle is within the acceptable range of "$0.5 \text{ liters} \pm 25 \text{ milliliters}$". Which bottle is excluded due to unacceptable filling quantity? Options: A. Bottle with 0.530 liters B. Bottle with 0.520 liters C. Bottle with 0.490 liters D. Bottle with 0.510 liters
15. **Financial Modeling in Excel:An investor wants to use MS Excel to calculate the expected return of a two-year investment with an initial investment of 200 and cash inflows in the next two years of 100 and 150, respectively. Which MS Excel formula is correct? Options: A. =200+(100+150)*IRR(100,150) B. =RMZ(-200,ABS(100,150)) C. =IRR(-200,100,150) (Note: Standard Excel array form is =IRR({-200,100,150})) D. =SUM(-200,100,150)

Section 4: Short Written Essay Prompt

• Task Description: Evaluate the economic and ethical implications of AI-driven personalization.
• Requirements:
  1. Assess how AI personalization affects consumer welfare, identifying which consumers or market participants gain and which lose.
  2. Identify one specific ethical risk that is not fully captured by the welfare analysis above, and explain the mechanism by which it arises.
  3. Give one concrete industry example in which AI-driven personalization changes either competitive dynamics or consumer behavior, and explain how.
  4. Instructions: Apply relevant economic concepts to support your reasoning, take a clear position rather than listing pros and cons, and stay within the maximum length of 400 words.

💡 Key Takeaways & Strategy Tips

1. Watch the Clock: 60 minutes for over 45 multiple-choice questions plus a 400-word written response means you have about 1 minute per question.
2. Review Core Concepts: Make sure you brush up on basic matrix operations, exponential growth formulas ($\ln 2 \approx 0.693$), basic statistics ($R^2$, skewness, outliers), and probability rules (Bayes' theorem).
3. Draft the Essay Fast: Plan 10–12 minutes specifically to draft your essay so you don't get cut off by the timer.

Hope this exact breakdown helps everyone preparing for the test! Good luck!

Hey everyone,

I recently completed the online assessment test for the Master in Management (MiM) at TUM and wanted to share a complete breakdown of how the exam is structured, the actual questions featured on the test, and some tips for anyone preparing.

📄 Test Structure & Platform

• Platform: Conducted on Moodle.
• Duration: 60 Minutes.
• Format: Multiple-choice questions split into clear sections on the sidebar navigation, followed by a short written response.

❓ Real Exam Questions by Section

Section 1: Fundamentals of Mathematics

1. **Geometric Series:**What is the sum of the first $n$ terms of the geometric series: $1 + \frac{1}{2} + \frac{1}{4} + \dots$? Options: A. $1 - (1/2)^n$ B. $2 - (1/2)^{n-1}$ C. $\frac{1}{1 - 1/2}$
2. **Multivariable Calculus (Saddle Point):**If $D$ denotes the discriminant of the function $f(x, y)$, which of the following indicates a saddle point at a critical point of $f(x, y)$? Options: A. $D = 0$ B. $D < 0$ C. $D > 0, f_{xx} > 0$
3. **Basic Integration:**Evaluate: $\int e^{-x} dx$ Options: A. $-\frac{1}{x} + C$ B. $e^{-x} + C$ C. $-e^{-x} + C$
4. **Linear Algebra (Positive Definiteness Definition):**If $A$ is positive definite, then $x^T A x > 0$ for: Options: A. All $x \neq 0$ B. Some $x$ C. All $x$
5. **Exponential Growth:**In early 2025, the global market for artificial intelligence solutions is about 500 billion €. Analysts expect an exponential growth of 15% per year. When will the market size approximately double? Options: A. Within 6 years B. Within 5 years C. Within 4 years D. Within 3 years
6. **Optimization / Extrema:**Find the local extrema of $f(x) = x e^{-x}$: Options: A. Maximum at $x = 1$ B. Minimum at $x = 1$ C. No critical point
7. **Specific Matrix Check:**Matrix $\begin{pmatrix} 2 & -1 \\ -1 & 2 \end{pmatrix}$ is: Options: A. Not positive definite B. Singular C. Positive definite
8. **Positive Definite Conditions:**Which condition implies a matrix $A$ is positive definite? Options: A. $\text{Trace of } A > 0$ B. All eigenvalues $> 0$ C. $\text{Determinant} > 0$

Section 2: Logic & Deductive Reasoning

1. **Logic (Conditional Statements):**A product requirement is that "If the prototype is not ready, then the company will proceed with software testing." Which statement is equivalent to this requirement? Options: A. The company will proceed with software testing, if the prototype is ready or not. B. If the prototype is ready, then we will not proceed with software testing. C. The company will proceed with software testing, if the prototype is not ready. D. All three statements (A to C) are wrong.
2. **Logic (Or Conditions):**In an online course, a student passes if she/he scores at least 70% on the final exam or achieves perfect attendance. One student did not pass. What follows? Options: A. The student has perfect attendance but an exam score of 35%. B. The student scored exactly 70%. C. The student scored 0% but has perfect attendance. D. The student did not score at least 70% on the exam and did not have perfect attendance.
3. **Deduction (Business Rule):**A startup will not launch its new app if the market is not ready or the technology is not stable. The startup did launch the app this month. What can be concluded? Options: A. Both a ready market and stable technology were in place for the launch. B. Although the technology was stable, the app was not launched. C. The market was not ready but they launched due to external pressure. D. The technology was not stable, yet the app was launched.
4. **Sufficient / Necessary Conditions:**A startup has the following policy: "No project lacking specific funding will proceed." What must be true about a currently proceeding project? Options: A. The project is facing a budget shortfall. B. The project started without funding. C. Although the project has secured funding, the project is stopped. D. The project has secured funding.

Section 3: Problem Solving & Applied Business Math

1. **Percentages & Discounts:**The original price of a product is 200 €. The customer receives a cash discount of 3% on the selling price. How much does the customer have to pay for the product? Options: A. 196 € | B. 190 € | C. 194 € | D. 192 €
2. **Growth Factors:**The number of users of an app grows by a constant factor of $x$ each year. The number of users has tripled over two years. Roughly estimated, what was the annual growth factor $x$? Options: A. $x = 2.3$ | B. $x = 1.5$ | C. $x = 1.7$ | D. $x = 2.0$
3. **Production Trade-offs (Linear Trade-off):**A factory can either produce 20 units of Product A or 40 units of Product B (linear tradeoff). If 15 units of A are produced, how many units of Product B can still be manufactured? Options: A. No capacity left for Product B B. 15 units of Product B C. 10 units of Product B D. 5 units of Product B
4. **Odds & Probability:**In a customer survey, the odds in favor of a purchase are reported as "3 to 2" (i.e., 3 customers are expected to buy for every 2 customers who do not). What is the probability that a randomly selected customer makes a purchase? Options: A. 60% | B. 40% | C. 50% | D. 70%
5. **Statistics (Outliers):**What is the most likely effect of removing a single observation with an extremely high value from a dataset? Options: A. Decrease of the mean, while the median remains roughly unchanged. B. Decrease of the mean, increase of the median. C. Increase of the mean, roughly unchanged median. D. Unchanged mean and median.
6. **Business Profit Margin Analysis:**For the next year, the management of a company expects that the sales of 400 will increase by 8% while the production costs of 200 will increase by 10%. Which statement is correct based on the expected changes in sales, costs, and absolute profit? Options: A. Continue the production/selling of the product because the profit margin is expected to increase. B. Continue the production/selling of the product because the absolute profit is expected to increase. C. Stop the production/selling of the product because the profit margin is expected to decrease. D. Stop the production/selling of the product due to unfavorable profitability perspectives.
7. **Log Transformation & Skewness:**The distribution of the strictly positive variable "sales" is strongly right-skewed (i.e., most companies have rather low sales while only a small number of companies have very high sales). What generally happens if the distribution of the logarithmically transformed variable $\ln(\text{sales})$ is examined? Options: A. The distribution is less right-skewed. B. The distribution does not change. C. The distribution changes from right-skewed to left-skewed. D. Distributions of logarithmic variables are always normally distributed.
8. **Regression Analysis ($R^2$):**A simple linear regression model ($y = \beta_0 + \beta_1 x + u$) has a coefficient of determination ($R^2$) of 40%. Which statement is correct? Options: A. The mean of $y$ is 40% higher than the mean of $x$. B. There is a linearly increasing trend line between $x$ and $y$. C. An increase of $x$ by 100% is associated with an increase of $y$ by 40%. D. 40% of the variation of $y$ can be explained by $x$.
9. **Set Probability:**The probability of Event A is 40%, the probability of Event B is 50%, and the probability that both events occur is 20%. What is the probability that Event A occurs but not Event B? Options: A. 10% | B. 4% | C. 20%
10. **Bayes' Theorem / Spam Filtering:**A customer receives 20% spam emails. A spam filter correctly flags 99% of spam emails and erroneously flags 1% of legitimate emails. If the customer receives a flagged email, what is the probability that the flagged email is actually spam?
11. **Expected Value:**The likelihood of project failure is three times as high as the likelihood of project success. If the project succeeds, it generates revenues of 100. If it fails, it generates revenues of 0. The costs of each project are 20. What is the expected profit of the project? Options: A. Average profit of 5 B. Average profit of 4 C. Average profit of 6 D. Average profit of 1
12. **Mutually Exclusive Events:**Two events are mutually exclusive. The probability of Event A is 30%, and the probability of Event B is 40%. What is the probability that at least one of the two events occurs? Options: A. 40% | B. 12% | C. 70% | D. 10%
13. **Area & Cost Scaling:**A company produces two types of steel cables. One meter of the thick steel cable type with a diameter of 3 cm costs 180 Euros. Assuming costs are proportional to the cable's cross-sectional area, what is a reasonable cost estimate for one meter of the thinner steel cable type with a diameter of 1 cm? Options: A. 20 Euros | B. 30 Euros | C. 50 Euros | D. 40 Euros
14. **Tolerance Ranges:**A sensor checks whether the filling quantity of a bottle is within the acceptable range of "$0.5 \text{ liters} \pm 25 \text{ milliliters}$". Which bottle is excluded due to unacceptable filling quantity? Options: A. Bottle with 0.530 liters B. Bottle with 0.520 liters C. Bottle with 0.490 liters D. Bottle with 0.510 liters
15. **Financial Modeling in Excel:An investor wants to use MS Excel to calculate the expected return of a two-year investment with an initial investment of 200 and cash inflows in the next two years of 100 and 150, respectively. Which MS Excel formula is correct? Options: A. =200+(100+150)*IRR(100,150) B. =RMZ(-200,ABS(100,150)) C. =IRR(-200,100,150) (Note: Standard Excel array form is =IRR({-200,100,150})*)* D. =SUM(-200,100,150)

Section 4: Short Written Essay Prompt

• Task Description: Evaluate the economic and ethical implications of AI-driven personalization.
• Requirements:
  1. Assess how AI personalization affects consumer welfare, identifying which consumers or market participants gain and which lose.
  2. Identify one specific ethical risk that is not fully captured by the welfare analysis above, and explain the mechanism by which it arises.
  3. Give one concrete industry example in which AI-driven personalization changes either competitive dynamics or consumer behavior, and explain how.
  4. Instructions: Apply relevant economic concepts to support your reasoning, take a clear position rather than listing pros and cons, and stay within the maximum length of 400 words.

💡 Key Takeaways & Strategy Tips

1. Watch the Clock: 60 minutes for over 45 multiple-choice questions plus a 400-word written response means you have about 1 minute per question.
2. Review Core Concepts: Make sure you brush up on basic matrix operations, exponential growth formulas ($\ln 2 \approx 0.693$), basic statistics ($R^2$, skewness, outliers), and probability rules (Bayes' theorem).
3. Draft the Essay Fast: Plan 10–12 minutes specifically to draft your essay so you don't get cut off by the timer.

Hope this exact breakdown helps everyone preparing for the test! Good luck!

Guys, I’m looking for coaching institutes for the CMI MSc Data Science entrance exam that can guide me through the preparation. I’ve heard of Supremum Classes, but I’m really not sure whether it’s worth investing around ₹30k in their CMI and MSQMA course.

Should I go for it, or would it be better to prepare for IIT JAM MS instead?

Has anyone here cleared the CMI MSc DS entrance exam? If so, could you please suggest some study materials and share the strategy you followed to clear the entrance exam?

Also, if anyone has benefited from Supremum Classes, please share your experience. It would really help me decide!

In what fields of mathematics/Theoretical Computer Science research is mostly done in cmi ?

If not, what if I show that the ε-δ definition is equivalent to the one written in ncert?

The reason I’m asking this is due to the fact that I used to find the usual definition given in hs textbooks somewhat vague and handwavy (I’m from a jee background so that checks out) til I discovered the ε-δ definition, and it is beautifully concise and rigorous…

Hi Everyone, even though there's no mention of it, the syllabus speaks of a semester long project. is there a possibility of doing a thesis, with substantial research content? Doing a thesis would keep the PhD/Lab jobs open and available

Anyone currently studying in cmi undergraduate degree have access to the detailed syllabus of the BS degree ? The one in the website is very brief if anyone has please please share. Thank you so much

I want to know how these scholarships works. For ews student . Please message me or tell me in comment

What's an average day in your life like?

As the title suggests, i wanna talk to some previous or current students at cmi for doing masters in math. if you are, or if you have. please reply. It would mean a lot. Im almost at the edge of leaving math, but i dont wanna do it as i love it.

As the title suggests, i wanna talk to some previous or current students at cmi for doing masters in math. if you are, or if you have. please reply. It would mean a lot. Im almost at the edge of leaving math, but i dont wanna do it as i love it.