Only Time can Tell

      By  Vic Odarve

Three years ago I met a friend and told me that she had some momentous moments with the population from the common people to a few and untouchable’s ones. She was working in a United Nations outreach program for the poor and indigenous people in Central Africa. Being a medical worker, she roamed most part of the country, meeting with people from all walks of life. In one of our gathering I told her that she might get in love an African guy because most often she traveled with an escort – an African guy -wherever she visited far- flung areas. “It’s a big no. Never, never!  this thing will not happen to me. Not even a pigment of my imagination that I need a black man to be my partner in my life.” Then, she burst in laughter.


That was three years ago and just lately I received an invitation for their upcoming wedding with the handsome African man – her previous escort/guard – by next month. So what? She is learning now that only time can tell!

Then the same thing happened with my colleagues. A few years back, a group of white expatriates came to Africa and worked under a UN program. Sensing that their lives were somewhat difficult compared to their native country, several of them told me repeatedly that they would never came back to this African country once they left their work and took a vacation after a year of service. It seemed that they were uneasy. Wherever we visited the countryside, they reminded me always this promise. It sounded irritable to my ears. Truly after a year, we were allowed to go home and they were jumping and shouting for joy. At last, they told themselves,” We are now free and we will never come back.”

The time we returned for work, the company caught by surprise why only few came back. So that was it and we knew the reasons why. We forgot everything and as if nothing happened. Do you know what happened next? A year after, we were surprised to learn that they were communicating with the company for their return and that they were willing to work again. It is indeed a crazy world! So what? They are learning now that only time can tell!

What’s now then, my friend? And old adage goes, ‘promises are made to be broken.’ So what does man gain by not keeping his promises? Simply, he is not believed when he tells more. Definitely, no man can ever tell what future holds for him.  Only God can and only time can tell.

So are you trying to foretell your future? “Only God knows the past and foretells the future and reveals the traces of the world’s mysteries.” – Sirach 42,18-19.


Engineering Mathematics 1
October batch 2012-2013

Please try to solve the problems / exercises below. Similar problems will be coming out in our quiz next meeting. I will give only 4 exercises/problems in our quiz. Refer to your notes as guide for the solutions.




  1. Evaluate          ∫ 3 x cos 2x dx.
  2. Evaluate          ∫ dx/(1 +√16x)
  3. Evaluate          ∫ dx/(16-x2)3/2
  4. A population is growing with instantaneous growth rate of 300 + 3  – 2t organisms per minute after t minutes. If the initial population is 2000, what is the population after 5 minutes

5. Find the area bounded by the line x + 2y = 8 and the coordinate axes.

6. Find the area bounded by a parabola y = 2x 2 from x = 0 and x =7 by            a) vertical element   b) horizontal element method. Graph.

6. Find the area enclosed by the curves y =√8x  and  y = x 2 by    vertical and horizontal element methods. Graph.

7.Find the area bounded by the curve  y = x 2       and y = 4. Graph. ans. 32/3

8. Find the equation of the curve whose slope is three times its abcissa and passed point (2,1).

ans . y= (3/2) x 2 – 5. Use indefinite integration.


The Game of the Math Professor

                                                 By Vic Odarve

Some students find it frustrating that they cannot make sense of the lesson, and that’s why they feel tired inside the classroom. As a result, they miss the point the professor wants to emphasize. Failure to grasp clearly on the lectures may give its toll in the next succeeding topics. Worse, students are bound to fail the Math course they are taking. But not for a wily mathematics professor! He is bringing his students to his own world… playing his game in a tricky way. It’s a professor’s game.

Working Examples at the classroom,UIC-Davao city, Philippines

Working Examples at the classroom,UIC-Davao city, Philippines

Picture this one out! The professor started his game this way. After a detailed discussion on how to solve the example math problems and sensing that there were no more questions, the professor pointed to the board and said to the students” Alright class, it’s now your turn, work out the following problems in your seats”. To catch their attention, the professor made a simple problem. It was just similar to the example discussed. Just a trick!  If the students understood the discussions, the problems were as easy as eating peanuts. Looking for the students with a big smile, he asked, “Any volunteer to solve this problem?” Surely, almost all students raised their hands. But to the dismay of the students, the professor pointed to students not raising their hands.

A Math exam

       Caritas University, Inugu State, Africa

Then the professor made a second problem on the board.  It was  a difficult one. “Is there any volunteer?” he asked again. Only a few raised their hands. Then the professor told one of the volunteers to solve the problem with the board. Lastly, he made a difficult one. Since nobody raised hands, the professor looked to his best and brightest student. “Just try to solve this one on the board’’, he said. Commanding but supporting words to his favorite student. A bright student is a teacher’s pet! Moments later, silence engulfed the class. Students were very busy wrestling out the steps by steps in solving the problems. Then afterwards, the professor instructed the students working on the boards to explain their works to the class.

Engineering students

Engineering students-Madonna University, Nigeria,Africa

So, what was the next picture? It was a lively discussion. Just like an open forum. Students discussing their solutions on the board and entertained questions, comments, and suggestions. Professor acted as a facilitator. Almost everybody shared the ensuing discussion. The lesson was like a hot cake in which customers were in line waiting for their turn to buy! Unknowingly, the class was slowly and slowly drawn by the spell of this wily professor. That’s how the game works. Students are falling for the line, hook, and sinker. The professor is playing his game in the classroom.

The scenario is quite easy and simple. Yet these simple sequences of drama demonstrate how this professor is playing the minds of the students in the classroom. Unknowingly the professor has opened student’s senses under his spell. Aligning students’ minds with the professor’s mind! Living in harmony! One world, one mind in focus… solving mathematics. He is building a ladder for his students to challenge mathematics.

This is the trick that works! Never a dull moment! A vibrant discussions and lively environment in the making! No frustration! No more tired students. Everybody enjoys the class and dreams when will be the next session. It is the game of the professor.