Chapter 188

Gu Lu has not yet produced the test papers for the final exam of the 17-level mathematics course.

In fact, there is no need to be too anxious about this matter.

The task of setting the questions for the numerical test paper fell entirely on Gu Lu alone. It was not like other public courses where four or five teachers jointly set the questions and had to accommodate other teachers' time.

Gu Lu only needs to complete the test paper one week before the math test.

…………

In the blink of an eye, another week has passed.

The exam schedule for students in the Department of Mathematics has been announced on the academic administration system.

Needless to say, examination courses are basically in-person examinations.

As for exam courses, Bi Qi and the others will first take the college English course on January 15th.

After that, there will be the compulsory political course, Ideology, Morality and Cultivation, on January 17th.

The three professional courses of advanced algebra, mathematical analysis, and analytic geometry are placed at the end.

The last analytic geometry exam is scheduled for January 26th.

The five examination courses put pressure on Bi Qi and the others not too much, but not too little either.

After all, their goal is not to pass the exam.

Instead, try your best to sprint towards a perfect score!

However, compared to some majors where "as long as you choose your major well, you can win the college entrance examination at the end of each year" and often take more than ten examination courses, their mathematics major is quite happy.

The first half of their freshman year is their first semester in college.

Their learning results can be tested through such a final exam.

As the end of the term approaches, no one dares to slack off!

Maybe if you are not careful, you will be overtaken in a corner at the last moment.

…………

In the Shuyuan Building, inside Gu Lu’s office.

Gu Lu was sipping his coffee while typing rapidly on the keyboard with his fingers.

What he is currently doing is setting the questions for the final score paper.

As for the difficulty, Gu Lu had already made plans.

Simplicity is impossible, even in this life!

There must be some difficulty, but it shouldn't be so difficult that it's suffocating.

In this way, it can not only test the students' learning achievements, but also not damage the students' self-confidence too much.

Gu Lu thought it through very carefully.

In this way, you can live up to your approachable and affable teacher persona!

After Gu Lu finished gearing up, he started to ask questions.

Gu Lu divided the test paper into two parts, namely fill-in-the-blank questions and question and answer questions.

Looking at the numerical test papers in previous years, there is no fixed format, so Gu Lu, the teacher who sets the questions, can do whatever he wants.

In Gu Lu's plan, there are ten topic selection questions, each worth four points, accounting for a total of forty points.

There are six questions, each worth ten points, totaling sixty points.

The knowledge examined covers the limits of fractions, derivation, integrals, unequal integrals, differential equations, etc.

The questions will not go beyond the outline.

However, we will examine some contents that are not in the textbook, but Gu Lu once added and emphasized in class.

After thinking for a while, Gu Lu tapped his fingers on the keyboard to edit the topic.

【1, Calculate the limit lim(n→∞)∑((n1)^z,k=n^2)1/√k=_____】

[2. It is known that x(n1)=ln(1xn) and x1>0, then lim(n→∞)nxn=_____]

…………

Gu Lu was very fast in answering questions.

But having said that, just the final exam questions at the freshman level really didn't waste much of Gu Lu's brainpower.

In less than twenty minutes, ten fill-in-the-blank questions were completed.

Gu Lu picked up the porcelain cup, took a sip of coffee, and then began to ask the next six questions.

It’s still the principle of going from easy to difficult.

【11. Proof: lim(n→∞)∫(π/2,0)sin^nx/√π-2xdx=0.】

[12. Assume x0=1, xn=xn-1cosx(n-1), (n=1,2,...), prove: when x→∞, xn-π/2=o(1/n^

n).】

[13. It is said that γ(t)=(x(t),y(t)), (t∈belongs to a certain interval i) is the c vector field (p(x,y),q(x,y) on r

), if x'(t)=p(

γ(t)), y'(t)=q(γ(t)),?t∈i , assuming that pxqy is non-zero everywhere on r, prove that the integral curve of the vector field (p, q) cannot be closed (single

Except for certain circumstances).]

…………

As mentioned before, although the contents of advanced mathematics and calculus are very similar.

However, math scores pay more attention to theory, while advanced math scores pay more attention to practice.

This is reflected in the questions, that is, the number test questions are mostly proof questions, and the advanced math test questions are mostly solution questions.

Five of the six big questions asked by Gu Lu were proof questions.

Only the last question is a solution question.

Don't think that proof questions are easier than quiz questions. Sometimes, the difficulty of proof questions can make people doubt their life.

It took nearly an hour for Gu Lu to get out the test paper with a total of sixteen questions.

Then, it took another half an hour to write down the standard answers using another document.

After doing all this, Gu Lu scanned the test paper from beginning to end, then touched his chin and fell into a brief silence.

After pondering for a few minutes, Gu Lu put his hands on the keyboard again, and typed three words with his fingers on the last question of the test paper, which was the sixteenth question: Additional question!

That's right, after thinking about it for so long, Gu Lu decided to add an additional question at the end of this test paper.

Additional questions are worth ten points.

No points will be deducted for wrong answers or no answers, but points will be added for correct answers.

Of course, the upper limit of the score is still 100 points.

If the score exceeds 100 points, it will be recorded as 100 points.

"In this case, you shouldn't fail the exam, right?" Gu Lu stretched out, flexed his fingers, and murmured to himself.

Clicking save, Gu Lu stood up and said to himself, "Students, I wish you good luck!"

…………

As the end of the term approaches, the circle of friends becomes active again.

All kinds of superstitious koi fish, starry sky, and high-score sprays fill the screen in the circle of friends.

This group of college students are usually not superstitious at all, but by the end of the term, they will believe whatever they catch.

A circle of friends of a certain second-level student: "I feel like I am accomplishing an epic feat. As a high school student, it takes me two weeks to complete a semester of college courses by myself. I am so awesome!

"

An ordinary student's circle of friends: "I thought that review was about checking for omissions and filling in the gaps. After reviewing, I realized that it was Nuwa who filled the sky. After filling in and filling in, I discovered that it was Jingwei who filled in the sea. In the end, I discovered that Pangu opened a new world.

!”

A circle of friends of a student at a key university: "The end of the term is coming, I will start reviewing from now on, and I will not rest until the exam. I will not go out, stay up late, or watch TV dramas. I will not have fun or hunt for women. I will

The hanging beam stabs the buttocks, life and death. I am

The statue in the library, the ghost in the study room. I am the horn that wakes up the dawn, the desk lamp that shines at midnight, the eyes that watch the textbooks, and the soul that pursues knowledge. I dedicate my life and hope to the end of the semester, tonight and every night!"

Bi Qi's circle of friends: "Ah ah ah, the exam is coming soon. I haven't started reviewing "Complex Variable Function" yet. What should I do? I'm going to die, I'm going to die!"
Chapter completed!