Gemini Advanced Vs ChatGPT- 4o: Which One is Better in Mathematics?

The development of artificial intelligence has revolutionized many aspects of our lives, including machine learning, computer programming, and many other fields. One area where AI is making a notable impact is in education, especially in solving complex mathematical problems.

As students, educators, and professionals mostly depend on AI to tackle mathematical challenges, prominent models stand out: Gemini Advanced and ChatGPT-4.0. Both are cutting-edge AI chatbots designed to understand and generate human-like text, but which is better for mathematics is under debate. 

To settle this debate, we’ll test both AI chatbots with different problems to see which performs better.  Before diving into the tests, let’s briefly overview each tool.

What is ChatGPT- 4o?

OpenAI released the large chatbot ChatGPT-4o on May 3, 2024. It is the latest iteration of the popular GPT series.  ChatGPT-4.0 is known for its versatility and ability to engage in natural language conversations, making it a popular choice for users seeking assistance across multiple disciplines, especially in mathematics.

What is Gemini Advanced?

Gemini Advanced is a paid plan that's part of Google One AI Premium and gives users access to Google's AI models. It includes Gemini in Gmail, Docs, and other apps, with 2 TB of storage for Google Drive, Gmail, and Photos.

Gemini Advanced also provides access to Gemini 1.5 Pro, which has a 1 million token context window that allows users to analyze documents up to 1,500 pages long. 

Google DeepMind launched this on 8 Feb 2024. Its design includes several layers specifically tuned for mathematical reasoning, making it a strong contender in the field.

Now that we have a basic understanding of each AI; it’s time to put them to the test. We’ll challenge Gemini Advanced and ChatGPT-4o with mathematical problems, from basic arithmetic to more complex calculus to determine which chatbot is best for mathematics. 

Mathematical Capabilities of Both AI Chatbots 

To evaluate the mathematical capabilities of both AI models, we’ll consider 4 important criteria of mathematics:

1. Limit calculus

2. Slope Intercept Form

3. Integration

4. Cubic Feet

By comparing their performance on these tasks, we aim to answer the crucial question: Which AI is better in mathematics?

1. Limit Calculus

For this task, we solve a simple limit calculus problem by giving the following prompt

Evaluate the limit as x approaches 2 for the function x2 -4 / x-2 with a graph

The result of this query is 4 by the online limit calculator.  Let’s see how our AIs tackle this question. To begin, let's consider ChatGPT-4o from OpenAI.

We can see that the Chatgpt-4o has provided us with the exact solution using factorization with a graph for the limit of calculus. Now, it’s Gemini's turn.

Fortunately, Gemini also gave us the correct solution using L’ hospital’s rule. 

Winner: Both provide the correct answer, but they use different methods. Therefore, the decision for this round is left to the users.

• If they want a straightforward solution then use Chatgpt4o. 

• If they want more explanation then use Gemini Advanced.

2. Slope Intercept Form

We’ll solve the problem of slope intercept form from both models. The aim here is to see which AI is better for this task. 

Example

Let’s say: 

A line passes through the points (2,5) and (-1,3) in slope-intercept form. Find the equation of the line with a graphical representation.

We solved this problem manually and took the answer with the slope intercept form calculator. Below are the answers we got from GPT-4o.

We can see that ChatGPT-4o has given us an accurate solution with detailed steps for the equation of the line with a graphical representation. 

Gemini Advanced

Surprisingly, the Gemini advanced shows errors and does not support this challenge. Hence, in the slope-intercept form test, ChaGPT-40 is the winner.

Winner: Chatgpt-4o

3. Integration

Integration is one of the main concepts of integration. It is the reverse of differentiation. It is used in many fields like physics, finance, engineering, etc. But here we’ll check for only mathematics.

To check the chatbots for integration, we used the following prompt.

“Evaluate the integral ∫ (3x2 - 2x + 1) dx.”

ChatGPT-40

ChatGPT provided a detailed answer with breakdowns and explained each step very clearly. That is best for students who want to understand the process of integration.

Gemini Advanced has a correct answer using a single step which could be for experienced users. 

Winner: ChatGPT-4o because of the explanatory solution which is helpful for students, teachers, and professionals.

For a different perspective, let's try using the AI Math Solver to see how it handles the same prompt.

This tool works on advanced algorithms and produces a more exact and detailed solution.  You can also copy and download the result for future purposes.

4. Cubic Feet

If you’re a student, teacher engineer, and academic professional. You need assistance that saves your time and gives answers within seconds of your problems. 

For these purposes, AI like ChatGPT and Gemini Advanced are the best. Let’s consider a simple example for both chatbots to test accuracy for cubic feet problems:

“Calculate the volume of a box with dimensions 4 feet in length, 3 feet in width, and 2 feet in height in cubic feet.”

ChatGPT-4o

We’re very impressed by ChatGPT’s response and here’s why:

• Gave Formula

• Sort the given data

• Multiplication Process

Now, Let’s see how Gemini solves this:

Gemini only performs the necessary steps without providing detailed explanations. This response may not be best for students and seekers who want to learn volume calculation. Thus, we must award ChatGPT-4.0 the victory. 

Winner: ChatGPT-40

Conclusion

Based on our comprehensive tests, ChatGPT-4.0 takes the crown of the superior AI model for mathematics. It consistently out performed Gemini Advanced in accuracy, problem-solving abilities, and detailed explanations, making it a valuable tool for students, educators, and professionals.

Gemini Advanced may be a strong contender in other areas.